MANAGEMENT APTITUDE TEST AFTERSCHO☺OL   –  DEVELOPING CHANGE MAKERS  CENTRE FOR SOCIAL ENTREPRENEURSHIP  PGPSE PROGRAMME –...
MANAGEMENT APTITUDE TEST Dr. T.K. Jain. AFTERSCHO☺OL Centre for social entrepreneurship Bikaner  M: 9414430763 [email_addr...
Five years ago average age of  5 friends of Goti was  16 years. Now goutam and Pugalia have joined that group and the aver...
The average age of a cricket team is decreased by 3 months when Ganguli and Dravid retire and instead of them 2 new player...
Solve it … <ul><li>A rectangular sheet of paper when halved by  folding it at the mid point of its longer side, the result...
Solution… <ul><li>Try from options: 2.8 sq.feet.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTIC...
In the figure, ABC is triangle, AP = 4 cm, AC = 10 cm and QC = 2 cm. The length of PB is <ul><li>COS= BASE/HYP. </li></ul>...
ABC is a  triangle and D,E, F are midpoints of its sides BC, ac, AB respectively. L, M are midpoints of BD and CD rspeecti...
AZURE BRAND CAR IS BY? <ul><li>Bentley  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
SISLEY BRAND OWNER <ul><li>Benetton Group  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
TRENT LTD. IS OWNED BY  <ul><li>Tata Group – it is a retail chain by Tata.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's ...
Owner of ORIGINALS brand <ul><li>ADIDAS  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
HERMES deals in  <ul><li>It is a retail company </li></ul><ul><li>Now it is entering India in single brand format.  </li><...
OLAY brand owner  <ul><li>Procter and Gamble  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
TOD brand sells :  <ul><li>Shoes </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
MONTERO <ul><li>A brand by Mitsubishi and Hindustan Motors. (collaboration).  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL'...
CHEVROLET SPARK  <ul><li>By GM </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
LOGAN  <ul><ul><li>Mahindra and Mahindra  </li></ul></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPA...
PALIO STILE  <ul><li>Fiat  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
Miss Sixty  <ul><li>Apparel brand from Italy.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPA...
GAP brand  <ul><li>FASHION WEAR BRAND FROM ITALY.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTI...
ZEN ESTILO  <ul><li>Maruti suzuki  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
ESTEE LAUDER  <ul><li>Skin care and colour cosmetics  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PA...
ETAM  <ul><li>French fashion product company  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
PRASOON JOSHI?  <ul><li>Thanda matlab coca cola etc. have been created by Mr. Joshi. He is now chairman of McCann Erickson...
Kailash bhatia  <ul><li>CEO of future group (earlier Pantaloon group).  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MAT...
Jerry Yang and David Filo  <ul><li>Founders of Yahoo. </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PA...
Suman Batra  <ul><li>Asian Vice president of INSOL International (insovency firm).  </li></ul>www.afterschoool.tk  AFTERSC...
Crickinfo.com <ul><li>This company has been acquired by ESPN  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR ...
UNZA  LTD.  <ul><li>Singapore based company acquired by WIPRO.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FO...
In a certain code  COMPUTER  is written as RFUVQNPC , how is the MEDICINE written in the same code?  <ul><li>As we can see...
On simplification (2+sqrt(3)) /(2-(sqrt(3)) is equal to ? <ul><li>In order to solve such question, first we should multipl...
What is the ratio of production of 1921 to 1929 with the data below?  www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PG...
Solution  <ul><li>44: 118 or 22:59 answer.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
Increase in production was highest in which year (in absolute v/s in %)?  www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FO...
Solution  <ul><li>1922  = from 44 to 68 answer.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICI...
In which year, we have highest increase in odd years?  www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
There is a rectangular box, which has sides as 3*2 and height 1 feet. It is cut in 6 equal parts. From top. Top and bottom...
Solution  <ul><li>As you can see there are 2 cubes with one side black, there is no cube with 3 sides black.  </li></ul>ww...
HOW MANY CU TUBES WILL  BE THERE WITH 3 SIDES COLOURLESS?  <ul><li>As we can see that all corner cubes have 2 sides colour...
A waiter gets tips, that are 5/4 times of his salary. Then the ratio of his income from tips to his total income is? <ul><...
What are the number of ways in which 6 rings can be worn in 4 fingers? <ul><li>6*6*6*6 = 6^4 answer.  </li></ul>www.afters...
Goti bought 4 bottles of PEPSI  and Sudha brought one large bottle of Coke. The cost of COKE is twice that of PEPSI. Goti ...
Solve it  <ul><li>100 liters of a mixture of Boric Acid and water contains 80% Boric Acid. So what amount of water should ...
Solution  <ul><li>Total liquid = 100 liters </li></ul><ul><li>Boric acid = 80 liters </li></ul><ul><li>We have to make it ...
Solve it  <ul><li>If 7 men or 8 women or 10 boys can finish a piece of work in 24.days each of 9 hours, then find how many...
They ought to be here before now. <ul><li>Change before to by.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FO...
He is known about charity. <ul><li>Instead of about, use for.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR...
The man laboured to good results. <ul><li>Change to into for </li></ul><ul><li>Correct :  </li></ul><ul><li>The man labour...
I was on bed when he  telephoned me. <ul><li>Instead of on, use in </li></ul><ul><li>I was in bed when he telephoned me. <...
This work of art is worthy for praise. <ul><li>Instead of worthy for praise, use praise-worthy. </li></ul><ul><li>OR  </li...
Which newspaper do you  subscribe for? <ul><li>Instead of for, use to.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MAT...
He scoffed on the idea of revolution. <ul><li>Instead of on, use at.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATER...
Where have you been to? <ul><li>There is no need of to. </li></ul><ul><li>Where have you been? </li></ul>www.afterschoool....
He lives at Delhi in India. <ul><li>Correct sentence: </li></ul><ul><li>He lives in Delhi in India. </li></ul>www.aftersch...
The man died from fever. <ul><li>Use of instead of from. </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE...
Sumit rushed at my room, panting for breath. <ul><li>Instead of at, use into.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL...
The poor man is beset by difficulties. <ul><li>Correct :  </li></ul><ul><li>The poor man is beset with  difficulties. </li...
Bitthal  is distinguished  in the cartoons for his sense of humour <ul><li>Instead of in, use for.  </li></ul>www.aftersch...
He is a descendant from the Mughal royalty. <ul><li>Instead of from, use of.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL'...
The river flows below the bridge. <ul><li>Correct :  </li></ul><ul><li>The river flows under the bridge. </li></ul>www.aft...
The weather was not very congenial for him. <ul><li>Correct sentence:  </li></ul><ul><li>The weather was not very congenia...
We are expecting the reply till evening. <ul><li>Correct sentence: </li></ul><ul><li>We are expecting the reply by evening...
He has not been cured for his disease. <ul><li>Correct sentence:  </li></ul><ul><li>He has not been cured of his disease. ...
We must not carp with the  errors of our ancestors. <ul><li>Correct sentence: </li></ul><ul><li>We must not carp at the er...
Patanjali is an authority for Sanskrit grammar. <ul><li>Correct sentence: </li></ul><ul><li>Patanjali is an authority on S...
The shopkeeper deals with  cotton and cloth. <ul><li>Correct : </li></ul><ul><li>The shopkeeper deals in cotton and cloth....
SOLVE IT  <ul><li>A salesman has a 35 hours per week normal schedule. During normal hours he gets Rs.40. per hour  and for...
What is the cube root of 571787? <ul><li>Options :  </li></ul><ul><li>47 </li></ul><ul><li>73,  </li></ul><ul><li>83 </li>...
3A+2B / 5A-3B =12/15 what is the ratio of A to B? <ul><li>3A + 2B = 12  5A – 3B = 15 </li></ul><ul><li>Multiply the first ...
Solution … <ul><li>3A + 2B = 12 </li></ul><ul><li>B =15/19 </li></ul><ul><li>Putting this value in the first equation.  </...
if p/q 2/3, what is the value  of p+q / p-q <ul><li>P = 2 </li></ul><ul><li>Q =3 </li></ul><ul><li>Answer : (2+3) / (2-3) ...
Two dice are tossed simultaneously. What is the probability of getting the sum as a prime number? <ul><li>Prime number : 2...
Solution… www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS Total of  2   12 <ul><li>4 </li></ul>5  6 7...
www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
What is the value of * in the given equation…. www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
Solution  <ul><li>We know that (A –B)^2 = A^2 – 2AB+ B^2 </li></ul><ul><li>A = 16/7 </li></ul><ul><li>B= 9/7, solutoin is ...
There is a circular park of 20 meters diameter. Inside the circular park is a path 1 meter wide. Find the area of the park...
A can do a piece of work in 8 days, B can do it in 9 days and C can do it in 6 days. On the first two days A & B work toge...
Solution  <ul><li>For the first 2 days – A and B are working together… (2*1/8) + (2* 1/9) = 34/72 </li></ul><ul><li>Now A,...
Surface area of a cube is 150 cm^2 . What is the length of its edge? <ul><li>Surface area of cube :  </li></ul><ul><li>For...
A circular cord of 35 cm is drawn into a rhombus. what is the length of its edge? <ul><li>Length of cord = 35 Cm </li></ul...
The age of the father is 4 times the son’s age. 5 years ago it was 7 times the son’s age. What is his age now? <ul><li>Let...
www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
What is the difference between a discount of 40% on Rs. 1000 and two successive discounts of 35% and 5% on the same amount...
A man sold a horse at a loss of 7%. Had he been able to sell it at a gain of 9%, it would have fetched Rs.64 more than it ...
Solve it .. <ul><li>On an article marked Rs.20000, a customer has a choice between three successive discounts of 20%, 2O% ...
A manufacturer sells a vehicle to a dealer at a profit of 40%, the dealer sells it to a customer at a profit of 30% and th...
What profit percent is made by selling an article at a certain price, if by selling it at two-thirds of that price, there ...
Two articles are sold at Rs.198 each such that a prof1t of 10% is made on the first while a loss of 10% is incurred on the...
Solution  <ul><li>Sold  </li></ul><ul><li>Profit on first 198 *10/110 =18 </li></ul><ul><li>Loss on 2 nd  = 198 * 10/90 =2...
.A person purchases 50 dozen toys at Rs.4 per dozen. Of these, 40 toys  were found broken. At what price should he sell th...
Solution  <ul><li>No. toys : 50 * 12 = 600 </li></ul><ul><li>Defective  = 40  </li></ul><ul><li>Net = 560 </li></ul><ul><l...
.A fruit vendor sells apples at cost price but uses false weight of 960 gm instead of 1 kg. Find the gain %. <ul><li>Profi...
<ul><li>A engaged 40 labourers on a job. He was paid Rs.1,050 for the work. After retaining 20% of it, he distributed the ...
Solution  <ul><li>No . Of men = 5/ (5+3)  *40 = 25 </li></ul><ul><li>25 men were working </li></ul><ul><li>Total payments ...
arrange eight of the nine numbers 2,3,4,5, 7,10, 11,12,13  in the vacant squares of 3X4  array shown below so that the ari...
Solution  <ul><li>Let us add these numbers:  </li></ul><ul><li>Sum( 1,2,3,4,5, 7,9,10, 11,12,13,14,15, - X)  </li></ul><ul...
For how many integers N,   N/(20—n) is the square of an integer? <ul><li>(a) 0 (b) 1 </li></ul><ul><li>(c) 2 (d) 3 </li></...
Puzzle  <ul><li>A truck tra veiled from town A to town B over several days. During the first day, it covered 1/p of the to...
Solution  <ul><li>Try from options, it cannot be 5 or 6, it has to be higher value 7 or 8. Let us try for 7. </li></ul><ul...
In a certain factoiy, each day the expected number of accidents is related to the number of overtime hour by a linear equa...
Solution  <ul><li>Let us frame 2 equations and use them to solve this question:  </li></ul><ul><li>8 = 1000X +Y </li></ul>...
In which year did the firm pay maximum tax?  www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
Solution  <ul><li>Since all the figures are in %, we cannot calculate the value of taxes paid as absolute value. We are no...
Solve it :  <ul><li>Seven integers A, B, C,D, E, Fand G arc to be arranged in an increasiug order such that </li></ul><ul>...
SOLUTION  <ul><li>F is more than A and A is more than D and G is more than C.  </li></ul><ul><li>D is smallest :D - - - - ...
Continued… <ul><li>E = 960 </li></ul><ul><li>Let us find factors of 960 </li></ul><ul><li>2*2*2*2*2*2*3*5 </li></ul><ul><l...
Continued… <ul><li>120=60 +(3*common difference). </li></ul><ul><li>Common difference is 20 </li></ul><ul><li>Thus the num...
Goti and Nitin could do a piece of work in 12 days. Nitin and Kap together do lt In 15 days. If Goti is twice as good a wo...
Solution  <ul><li>G = 2K  (now add the two equations)  </li></ul><ul><li>2K+N+N+K = 1/12+1/15  = 27/180,  </li></ul><ul><l...
Goti car paint a fence 100 metres long in 6 days, then how much time will both Goti and his friend Kap take, if Kap is thr...
Two pipes A and B can fill a cistern in 10 and 15 minutes respectively. Both pipes are opened together but at the end of 3...
Explanation  <ul><li>75/150 = is half of the total pip3  thus the pipe is helf illed. Thus A can fill the remaining portio...
A is twice as good a workman as B; and together they finish a work in 14 days. In how many days can it be done by each sep...
If 20 men complete one-third of a piece of work in 20 days, how many more men should be employed to finish the rest of the...
Goti can copy 75 pages in 25 hours Goti and Kap together can copy 135 pages in 27 hours In what time can Kap copy 42 pages...
goti & Kap can do a piece of work in 4.8 days, Kap and Jitu together can do it in 8 days and the three together in 4 days....
Solution  <ul><li>(calculate for 1 day and add them to get the ans.)  </li></ul><ul><li>G+K +K +J= 1 / (4.8) + 1/8 </li></...
A person works twice as fast as a woman. A woman works twice as fast as a child. If 16 persons can complete a job in 12 da...
3 pipes A, B and C can fill a cistern in 15, 20 and 30 min. respectively. They were all turned on at the same time. After ...
Solution  <ul><li>5/15 + 5/20  5/30 </li></ul><ul><li>= (20+15+10) / 60 = 45/60 or ¾ </li></ul><ul><li>Thus remaining ¼ of...
A certain number of men can  finish a piece of work in 100 days. If, however, there are 10 men less, it would take 10 days...
A, B and C can do a piece of work in 20, 20 and 40 days respectively. They began the work together but C left 2 days befor...
Solution  <ul><li>For 2 days only A and B worked </li></ul><ul><li>2/20 + 2/20 = 4/20 or 1/5 </li></ul><ul><li>Together (a...
ERROR SPOTTING  Industrial accidents/(1)usually result into /(2) ignorance/(3)or carelessness/(4) No Error (5) <ul><li>The...
Some people are like (1)to do a lot of social work/(2)even though they are poor(3)and lack resources <ul><li>Correct sente...
ERROR SPOTTING  Some men (1)have conveniently believe (2)that women are inferior to(3) men in respect of abilities.(4) No ...
ERROR SPOTTING  His qualities include(1)the ability to take/(2)right and/(3)quickly decisions.(4)/ No Error(5) <ul><li>ANS...
ERROR SPOTTING  If you want to (1)ensure prompt service (2)please be contacted to us (3) at your earlier convenience. (4) ...
They founded (1)this institution for/(2)the welfare of the poor (3) and the disable people.(4) No Error (5) <ul><li>Answer...
He asked me/U) what had my total investrnents(2)during the (3) last five years.(4) No Error. (5) <ul><li>Answer : (2) it s...
He takes the(1) prescribed medicine regularly(2) and that is how(3) he has succeed to control his ailment.(4) No Error (5)...
We should take(1) regular exercises to keep ourself (2) fit and active.(3) No Error (4) <ul><li>(2) it should be : regular...
Each time (1) you reached this spot (2) go back and(3) start your next (4) round again.(4) No Error (5) <ul><li>(2) it sho...
SENTENCE IMPROVEMENT  <ul><li>The honourable court had taken a leniency view because the accused had no previous criminal ...
Sentence improvement  <ul><li>Maintaining global peace is our self-made commitment to the word. </li></ul><ul><li>(1) self...
The dinner party hosted by the President at the club was shifted to an undisclosed location. <ul><li>(1) a locality undisc...
Sentence improvement  <ul><li>The government should launch such projects which should reversible the destructive cycle of ...
A comnilttee comprising eminent experts from various fields were setting up. (1) was setup (2) was setting up  (3) were be...
Our foreign exchange reserves have been increased substantial. (1) have been increased substantially (2) have increased su...
The key to a competitive economy is its investment regime. <ul><li>(1) competition economy is </li></ul><ul><li>(2) compet...
Driving a car in jammed traffic require extraordinary patience - especially when other drivers are not disciplined. (1) re...
Chinese army possesses highly sophisticated simulotors on which their soldiers are training. <ul><li>(1) which their soldi...
Every novel activity will be likely to face resistance from vested interests. <ul><li>(1) is likely to face </li></ul><ul>...
We observed that traders were not primarily dedicated with art of selling. <ul><li>(1) dedicated to the art of(2) None </l...
www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
If expenses per participant during the meeting is Rs.200 in 1995, which keeps on increasing at the rate of 10% per year, t...
Solution  <ul><li>200*1.1*360 = 79200 answer.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPA...
The following graph shows profits of 5 companies. What was the average profit in 1979? www.afterschoool.tk  AFTERSCHO☺OL's...
Solution : <ul><li>A =130 </li></ul><ul><li>B = 40 </li></ul><ul><li>C = 110 </li></ul><ul><li>D =  60 </li></ul><ul><li>E...
Solve it <ul><li>A cube with edges equal to 8cm is painted on all the six faces and is subsequently cut into 64 identical ...
Solution  <ul><li>There are four on the top right side. There are 4 on the opposite side also (4*4*4 = 64).  </li></ul><ul...
Solve it  <ul><li>The perimeter of a regular hexagon is 36cm. The area of the hexagon is </li></ul><ul><li>(1) 54*sqrt(3) ...
Solve it … <ul><li>How many patient does the doctor examine in a day, if he treats 5 patients in 3 hours with breaks of 10...
Solution  <ul><li>3 hours = 180 minutes </li></ul><ul><li>Break = 4*10 = 40 </li></ul><ul><li>Time per patient = 140 / 5 =...
If the interior angle of a regular polygon is twice its exterior angle then the polygon is a (1) rhombus (2) pentagon (3) ...
DATA SUFFICIENCY QUESTION. 40 pens were distributed equally amon all the participants, then how many participants were the...
Solution  <ul><li>If we combine both the statements, we can get the answer. One pen was left (given to the chairman), so 3...
WHAT IS THE VALUE OF X www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
WHAT IS THE VALUE OF X www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
Data sufficiency question. <ul><li>Is the series a GP? </li></ul><ul><li>(A) If the third term is twice the second. </li><...
The number of common terms in the two-seç 17, 21, 25,.. ., 417 and 16, 21, 26,. . ., 466 <ul><li>Let us start from 21. In ...
Solution continued. .. .  <ul><li>The final series is :  </li></ul><ul><li>21,41,61,81,101,121,141,161,181,201,221,241,261...
What is the total production of machine no. 3?  www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
Solution  <ul><li>Production accepted : 100 – 27 = 73%.  </li></ul><ul><li>Thus total production  </li></ul><ul><li>100/73...
<ul><li>The integers 1, 2,..., 40 are written on a blackboard. The following operation is then repeated 39 times: In each ...
Solution …. <ul><li>In the first round, we add up 1 and 2 and get 2. now we take up 2 and 3, we get 4, now we take up 4 an...
What is the total sale (in no. of units) in the year 1991?  www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTIC...
<ul><li>= 82016 answer.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
What is the % increase in the sale of VCR in 1993 against 1992?  <ul><li>Sale in 1993 =6151 </li></ul><ul><li>Sale in 1992...
This graph shows price of 4 shares, what is the average price of these 4 shares?  www.afterschoool.tk  AFTERSCHO☺OL's  MAT...
Solution  <ul><li>Let us add them:  </li></ul><ul><li>(150+40+120+90)/4 = 100 answer </li></ul>www.afterschoool.tk  AFTERS...
what is the production of food grains in 1991, expressed as a percentage of its production in 1989? www.afterschoool.tk  A...
Solution  <ul><li>15/20 *100 = 75 % answer.  </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
Which is the most logical idea?  <ul><li>If an ant were as big as a horse, could it move mountains? </li></ul><ul><li>No. ...
Solution  <ul><li>A giant Ant would not be able to move mountains because it is just a curoisity (we are not sure about wh...
Puzzle test… <ul><li>Nine cricket fans are watching a match in a stadium. Seated in one row, they are J, K, L, M, N, 0, P,...
Solution … <ul><li>NRMLJOPQK </li></ul><ul><li>J IS IN THE CENTRE </li></ul>www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL ...
A and B start walking in opposite directions. A covers 3 km and B covers 4 km. Then A turns right and walks 4 km while B t...
Ram walks 10 m south from his house, turns left and walks 25 m, again turns left and walks 40 m, then turns right and. wal...
In a class of 35 students Kiran is placed 7th from the bottom whereas Sohan is placed 9th from the top. Mohan is placed ex...
A watch reads 4 If the minute hand points towards the East, in which direction does the hour hand point? <ul><li>The hour ...
Puzzle  <ul><li>Goti and I started walking  towards each other from two places lOO m apart. After walking 30m, Goti turns ...
Solution <ul><li>(Goti walks 70 meters in all), so I walk 70 meters towards Goti’s starting point and now I am 30 meters f...
Sum of 1 st   to 30th terms of a series  in arithmetic progèssion is 150. if the first term is  A, what is 30 th  term of ...
Question on number system  <ul><li>Convert 252 into binary system  </li></ul><ul><li>252 / 2 = 126 / 2 = 63/2 = 31/2 = 15/...
Multiply 12 to 13 ( note - both are octal numbers, your outcomes must also be in octal numbers)?  <ul><li>Let us first con...
Convert 156 (octal) to decimal number …..  <ul><li>1*8^2 + 5*8^1 + 6*8^0 </li></ul><ul><li>=64+40+6 </li></ul><ul><li>=110...
Multiply  5 (base 16) to 12 (base 7) and get the outcome in binary? <ul><li>(5*16^0 ) * (1*7^1 +2*7^0)  </li></ul><ul><li>...
78.8% of a common medicine for stomach-upsets is absolute alcohol; 3.3% of it is mentha oil; 0.07% spear mint oil; and 0.1...
What is the sum of cubes of the first 5 natural numbers?  <ul><li>Formula  </li></ul><ul><li>= [N (N+1)/2 ]^2 </li></ul><u...
What is the sum of squares of the first 13 natural numbers? <ul><li>Formula </li></ul><ul><li>=[n(n+1)(2n+1) ] /6 </li></u...
In a Class of 80 pupils, the number of boys is three-fifths the number of girls. Determine the number of girls in the clas...
The difference between two numbers is 30. On dividing the greater by the smller the quotient is 3. Find the numbers. <ul><...
Gunpowder contains 75% nitre and 10% sulphur. The rest of it is charcoal. What is  the amount of charcoal in 9 kg of gunpo...
Question on profit <ul><li>At what percentage alove the Cost price must an article be marked so as to gain 33% after allow...
Solution … <ul><li>Let the cost be 100 </li></ul><ul><li>Final price being realised 133 </li></ul><ul><li>It is after disc...
A vertical pole PO is standing at the centre 0 of a square ABCD. If AC subtends an angle 90° at point P of the pole then t...
Solution  <ul><li>When diagonal (in a square) makes angle of 90 degree in a pyrimidical shape, then sides make angles of 6...
Find the per cent of pure gold in 22 carat gold, if 24 carat gold is cent per cent pure gold. <ul><li>22/24 *100 </li></ul...
In the diagram the two circles pass through each other’s centre. If the radius of each circle is 2, what is the perimeter ...
Solution  <ul><li>Permieter of one circle is 2/3 now because, it is being cut by other circle.  </li></ul><ul><li>Thus 2/3...
What is angle C?  www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
Solution  <ul><li>Angle O is double the angle A. Thus it is 100 degree. Thus C is (180 -100)/2 = 40 degrees answer.  </li>...
What is angle a?  www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE PARTICIPANTS
Solution  <ul><li>Angles from D and C are equal .  </li></ul><ul><li>180 – 60 – 37 – x </li></ul><ul><li>=83 – x </li></ul...
ABOUT AFTERSCHO☺OL  <ul><li>Afterschoool conducts three year integrated PGPSE (after class  12 th   along with  IAS / CA /...
Why such a programme? <ul><li>To promote people to take up entrepreneurship and help develop the society </li></ul><ul><li...
Who are our supporters? <ul><li>Afterschoolians, our past beneficiaries, entrepreneurs and social entrepreneurs are suppor...
About AFTERSCHO☺OL  PGPSE – the best programme for developing great entrepreneurs <ul><li>Most flexible, adaptive but rigo...
Workshops from AFTERSCHO☺OL  <ul><li>IIF, Delhi </li></ul><ul><li>CIPS, Jaipur </li></ul><ul><li>ICSI Hyderabad Branch </l...
Flexible Specialisations: <ul><li>Spiritualising business and society </li></ul><ul><li>Rural development and transformati...
Salient features: <ul><li>The only programme of its kind (in the whole world) </li></ul><ul><li>No publicity and low profi...
Components  <ul><li>Pedagogy curriculum and approach based on IIM Ahmedabad and ISB Hyderabad (the founder is alumnus from...
Pedagogy  <ul><li>Case analysis, </li></ul><ul><li>Articles from Harvard Business Review  </li></ul><ul><li>Quiz, seminars...
Branches <ul><li>AFTERSCHO☺OL  will shortly open its branches in important cities in India including Delhi, Kota, Mumbai, ...
Case Studies <ul><li>We want to write case studies on social entrepreneurs, first generation entrepreneurs, ethical entrep...
Basic values at AFTERSCHO☺OL  <ul><li>Share to learn more </li></ul><ul><li>Interact to develop yourself </li></ul><ul><li...
www.afterschoool.tk   social entrepreneurship for better society www.afterschoool.tk  AFTERSCHO☺OL's  MATERIAL FOR PGPSE P...
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Entrepreneurship Quiz 13 Oct

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Entrepreneurship Quiz 13 Oct

  1. 1. MANAGEMENT APTITUDE TEST AFTERSCHO☺OL – DEVELOPING CHANGE MAKERS CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME – World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship OPEN FOR ALL FREE FOR ALL www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  2. 2. MANAGEMENT APTITUDE TEST Dr. T.K. Jain. AFTERSCHO☺OL Centre for social entrepreneurship Bikaner M: 9414430763 [email_address] www.afterschool.tk , www.afterschoool.tk www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  3. 3. Five years ago average age of 5 friends of Goti was 16 years. Now goutam and Pugalia have joined that group and the average of all these friends today is 20 years. What is the average weight of Pugalia and Goutam? <ul><li>5 years ago it was 16, so today it should be 21. </li></ul><ul><li>21*5 = 105 </li></ul><ul><li>We have total weight of 7 persons as 20*7 = 140 </li></ul><ul><li>Thus total age of Pugalia and Goutam is 140-105 = 35 years. </li></ul><ul><li>Thus their average age is 17.5 years. . </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  4. 4. The average age of a cricket team is decreased by 3 months when Ganguli and Dravid retire and instead of them 2 new players join. Avg. age of retiring players is 37, what is the average age of new players? <ul><li>We know that cricket team consists of 11 players. </li></ul><ul><li>11*3 months = 33 months. </li></ul><ul><li>Let us decrease the total age of the new players from 74 by 33 months. </li></ul><ul><li>74 years – 33 months = 71 years + 3 months. </li></ul><ul><li>The average should be : 35 years and 7.5 months. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  5. 5. Solve it … <ul><li>A rectangular sheet of paper when halved by folding it at the mid point of its longer side, the result is that we get 2 rectangles with similar proportion of length and width. If the shorter side of the original rectangle is 2 Feet, what is the area of the new rectangles? </li></ul><ul><li>Option: 4 sq.feet, 2.8 sq.feet, 2 sq.feet. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  6. 6. Solution… <ul><li>Try from options: 2.8 sq.feet. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  7. 7. In the figure, ABC is triangle, AP = 4 cm, AC = 10 cm and QC = 2 cm. The length of PB is <ul><li>COS= BASE/HYP. </li></ul><ul><li>=4/8 = COS 60 </li></ul><ul><li>FROM THIS WE KNOW THAT </li></ul><ul><li>AB WILL BE 20 BECAUSE COS 60 IS ½ AND BASE IS 10 IN THE BIGGER TRIANGLE, PB=16. ANS. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  8. 8. ABC is a triangle and D,E, F are midpoints of its sides BC, ac, AB respectively. L, M are midpoints of BD and CD rspeectively. Which of the following statements is not true? <ul><li>LMEF is a parallelogram. intersection point of LE and MF lies on AD LE and MF bisect each other. A circle can be made to pass through L, M,E and F, </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS A B C D F E L M
  9. 9. AZURE BRAND CAR IS BY? <ul><li>Bentley </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  10. 10. SISLEY BRAND OWNER <ul><li>Benetton Group </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  11. 11. TRENT LTD. IS OWNED BY <ul><li>Tata Group – it is a retail chain by Tata. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  12. 12. Owner of ORIGINALS brand <ul><li>ADIDAS </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  13. 13. HERMES deals in <ul><li>It is a retail company </li></ul><ul><li>Now it is entering India in single brand format. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  14. 14. OLAY brand owner <ul><li>Procter and Gamble </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  15. 15. TOD brand sells : <ul><li>Shoes </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  16. 16. MONTERO <ul><li>A brand by Mitsubishi and Hindustan Motors. (collaboration). </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  17. 17. CHEVROLET SPARK <ul><li>By GM </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  18. 18. LOGAN <ul><ul><li>Mahindra and Mahindra </li></ul></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  19. 19. PALIO STILE <ul><li>Fiat </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  20. 20. Miss Sixty <ul><li>Apparel brand from Italy. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  21. 21. GAP brand <ul><li>FASHION WEAR BRAND FROM ITALY. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  22. 22. ZEN ESTILO <ul><li>Maruti suzuki </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  23. 23. ESTEE LAUDER <ul><li>Skin care and colour cosmetics </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  24. 24. ETAM <ul><li>French fashion product company </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  25. 25. PRASOON JOSHI? <ul><li>Thanda matlab coca cola etc. have been created by Mr. Joshi. He is now chairman of McCann Erickson India (advertisment). </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  26. 26. Kailash bhatia <ul><li>CEO of future group (earlier Pantaloon group). </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  27. 27. Jerry Yang and David Filo <ul><li>Founders of Yahoo. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  28. 28. Suman Batra <ul><li>Asian Vice president of INSOL International (insovency firm). </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  29. 29. Crickinfo.com <ul><li>This company has been acquired by ESPN </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  30. 30. UNZA LTD. <ul><li>Singapore based company acquired by WIPRO. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  31. 31. In a certain code COMPUTER is written as RFUVQNPC , how is the MEDICINE written in the same code? <ul><li>As we can see that the first letter is written at the end and the last letter is written first. All other letter have been reversed in their positions and have been moved up by one position, we can solve for medicine also: </li></ul><ul><li>EOJDJEFM answer </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  32. 32. On simplification (2+sqrt(3)) /(2-(sqrt(3)) is equal to ? <ul><li>In order to solve such question, first we should multiply it with such numbers so that we may solve the denominator. So let us first multiply by : (2+sqrt(3)) /(2+(sqrt(3)) {(a-b) * (a+b) = a^2-b^2 } </li></ul><ul><li>Thus we get (2+ sqrt(3))^2 /1 </li></ul><ul><li>(a+b)^2 = a^2 + 2ab+b^2 </li></ul><ul><li>=4 + 4sqrt(3) + 3. = 7 + 4 sqrt(3) </li></ul><ul><li>=13.9 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  33. 33. What is the ratio of production of 1921 to 1929 with the data below? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  34. 34. Solution <ul><li>44: 118 or 22:59 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  35. 35. Increase in production was highest in which year (in absolute v/s in %)? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  36. 36. Solution <ul><li>1922 = from 44 to 68 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  37. 37. In which year, we have highest increase in odd years? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  38. 38. There is a rectangular box, which has sides as 3*2 and height 1 feet. It is cut in 6 equal parts. From top. Top and bottom are white coloured and sides are black coloured. How many cubes are there with one side black? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  39. 39. Solution <ul><li>As you can see there are 2 cubes with one side black, there is no cube with 3 sides black. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS ONE SIDE BLACK
  40. 40. HOW MANY CU TUBES WILL BE THERE WITH 3 SIDES COLOURLESS? <ul><li>As we can see that all corner cubes have 2 sides colour less, the middle two cubes have 3 sides colourless. The answer is 2. answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS Colourless boundary
  41. 41. A waiter gets tips, that are 5/4 times of his salary. Then the ratio of his income from tips to his total income is? <ul><li>Answer = 5:4 </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  42. 42. What are the number of ways in which 6 rings can be worn in 4 fingers? <ul><li>6*6*6*6 = 6^4 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  43. 43. Goti bought 4 bottles of PEPSI and Sudha brought one large bottle of Coke. The cost of COKE is twice that of PEPSI. Goti paid Rs. 50 as his share and both of them drank equally., what was the cost of COKE ? <ul><li>Total cost = 100. </li></ul><ul><li>4P + 2P (because one coke is equal to 2 pepsi), 6P = 100. P = 16.66. Coke = 33.3ans. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  44. 44. Solve it <ul><li>100 liters of a mixture of Boric Acid and water contains 80% Boric Acid. So what amount of water should be added to the mixture to reduce the strength of Boric Acid in the mixture to 50%? </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  45. 45. Solution <ul><li>Total liquid = 100 liters </li></ul><ul><li>Boric acid = 80 liters </li></ul><ul><li>We have to make it 50%, so the total liquid should be 160 (just double of it). That means we have to add 160-100 = 60 liters of water. </li></ul><ul><li>Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  46. 46. Solve it <ul><li>If 7 men or 8 women or 10 boys can finish a piece of work in 24.days each of 9 hours, then find how many men with the help of 4 women and 5 boys can finish the work in 18 days each of 6 hours. </li></ul><ul><li>Solution : </li></ul><ul><li>4 women = 5 boys, so 10 boys. </li></ul><ul><li>10*24/18*9/6* = 20 boys, we already have 10 boys, we need additional 10 boys to complete the work. 10 boys are equal to 7 men, so we need 7 more men to complete the work. Ans. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  47. 47. They ought to be here before now. <ul><li>Change before to by. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  48. 48. He is known about charity. <ul><li>Instead of about, use for. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  49. 49. The man laboured to good results. <ul><li>Change to into for </li></ul><ul><li>Correct : </li></ul><ul><li>The man laboured for good results. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  50. 50. I was on bed when he telephoned me. <ul><li>Instead of on, use in </li></ul><ul><li>I was in bed when he telephoned me. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  51. 51. This work of art is worthy for praise. <ul><li>Instead of worthy for praise, use praise-worthy. </li></ul><ul><li>OR </li></ul><ul><li>This work of art is worthy of praise. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  52. 52. Which newspaper do you subscribe for? <ul><li>Instead of for, use to. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  53. 53. He scoffed on the idea of revolution. <ul><li>Instead of on, use at. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  54. 54. Where have you been to? <ul><li>There is no need of to. </li></ul><ul><li>Where have you been? </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  55. 55. He lives at Delhi in India. <ul><li>Correct sentence: </li></ul><ul><li>He lives in Delhi in India. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  56. 56. The man died from fever. <ul><li>Use of instead of from. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  57. 57. Sumit rushed at my room, panting for breath. <ul><li>Instead of at, use into. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  58. 58. The poor man is beset by difficulties. <ul><li>Correct : </li></ul><ul><li>The poor man is beset with difficulties. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  59. 59. Bitthal is distinguished in the cartoons for his sense of humour <ul><li>Instead of in, use for. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  60. 60. He is a descendant from the Mughal royalty. <ul><li>Instead of from, use of. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  61. 61. The river flows below the bridge. <ul><li>Correct : </li></ul><ul><li>The river flows under the bridge. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  62. 62. The weather was not very congenial for him. <ul><li>Correct sentence: </li></ul><ul><li>The weather was not very congenial to him. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  63. 63. We are expecting the reply till evening. <ul><li>Correct sentence: </li></ul><ul><li>We are expecting the reply by evening. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  64. 64. He has not been cured for his disease. <ul><li>Correct sentence: </li></ul><ul><li>He has not been cured of his disease. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  65. 65. We must not carp with the errors of our ancestors. <ul><li>Correct sentence: </li></ul><ul><li>We must not carp at the errors of our ancestors. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  66. 66. Patanjali is an authority for Sanskrit grammar. <ul><li>Correct sentence: </li></ul><ul><li>Patanjali is an authority on Sanskrit grammar. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  67. 67. The shopkeeper deals with cotton and cloth. <ul><li>Correct : </li></ul><ul><li>The shopkeeper deals in cotton and cloth. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  68. 68. SOLVE IT <ul><li>A salesman has a 35 hours per week normal schedule. During normal hours he gets Rs.40. per hour and for overtime he gets 1.5 times his normal charges. What is his income if he works for 60 hours in a week? </li></ul><ul><li>SOLUTION : </li></ul><ul><li>35*40 + 25*60 =1400+1500 = 2900 ANS. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  69. 69. What is the cube root of 571787? <ul><li>Options : </li></ul><ul><li>47 </li></ul><ul><li>73, </li></ul><ul><li>83 </li></ul><ul><li>93 </li></ul><ul><li>Answer : </li></ul><ul><li>83. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  70. 70. 3A+2B / 5A-3B =12/15 what is the ratio of A to B? <ul><li>3A + 2B = 12 5A – 3B = 15 </li></ul><ul><li>Multiply the first equation with 5 and 2 nd equation with 3, we get : </li></ul><ul><li>15A + 10 B = 60 and </li></ul><ul><li>15A -9 B = 45 </li></ul><ul><li>19 B = 15. thus B = 15/19 </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  71. 71. Solution … <ul><li>3A + 2B = 12 </li></ul><ul><li>B =15/19 </li></ul><ul><li>Putting this value in the first equation. </li></ul><ul><li>3A + 30/19 = 12 </li></ul><ul><li>3A = 12 -30/19 = 228 -30 / 19 </li></ul><ul><li>3A = 198/19 </li></ul><ul><li>A = 198/57 </li></ul><ul><li>A: B = 198/57 : 15/19 = 22: 5 </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  72. 72. if p/q 2/3, what is the value of p+q / p-q <ul><li>P = 2 </li></ul><ul><li>Q =3 </li></ul><ul><li>Answer : (2+3) / (2-3) </li></ul><ul><li>= - 5 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  73. 73. Two dice are tossed simultaneously. What is the probability of getting the sum as a prime number? <ul><li>Prime number : 2,3,5,7,11, </li></ul><ul><li>Total possibilities = 6* 6 = 36 </li></ul><ul><li>Answer = 16 out of 36 or 16/36. ans. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  74. 74. Solution… www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS Total of 2 12 <ul><li>4 </li></ul>5 6 7 8 9 10 11 1 1 2 3 4 5 6 5 4 3 2
  75. 75. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  76. 76. What is the value of * in the given equation…. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  77. 77. Solution <ul><li>We know that (A –B)^2 = A^2 – 2AB+ B^2 </li></ul><ul><li>A = 16/7 </li></ul><ul><li>B= 9/7, solutoin is 1. (16 -7 = 7,so 7/7) </li></ul><ul><li>Thus the above equation is just expansion of this equation. Thus the value of * is 2AB, out of which we already have B. thus the remaining number is 2A = 32/7, we already have 7, thus answer is 32. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  78. 78. There is a circular park of 20 meters diameter. Inside the circular park is a path 1 meter wide. Find the area of the park. <ul><li>Area of circle = pi* radius * radius </li></ul><ul><li>= pi * 10^2 – 9^2 { A^2 – B^2=(A+B) (A-b)} </li></ul><ul><li>= pi * 19*1 = 19 pi. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  79. 79. A can do a piece of work in 8 days, B can do it in 9 days and C can do it in 6 days. On the first two days A & B work together and on the third day C joins them. What is the total number of days worked, needed to complete the work? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  80. 80. Solution <ul><li>For the first 2 days – A and B are working together… (2*1/8) + (2* 1/9) = 34/72 </li></ul><ul><li>Now A,B,C will work together: </li></ul><ul><li>1/8 +1/9 + 1/6 = 29/72 </li></ul><ul><li>They will complete the work in 72/29 </li></ul><ul><li>Now multiply this by (1- 34/72) * 72/29 </li></ul><ul><li>(because 34/72 work is already complete, the remaining work is 38/72) </li></ul><ul><li>=38/72 *72/29 = 38/29. </li></ul><ul><li>Thus total time required is 2 +38/29 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  81. 81. Surface area of a cube is 150 cm^2 . What is the length of its edge? <ul><li>Surface area of cube : </li></ul><ul><li>Formula = 6 * Side * side </li></ul><ul><li>6 * side * side = 150 </li></ul><ul><li>Side * side = 25 </li></ul><ul><li>Side = 5 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  82. 82. A circular cord of 35 cm is drawn into a rhombus. what is the length of its edge? <ul><li>Length of cord = 35 Cm </li></ul><ul><li>Edge = 35/4 = 8.75 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  83. 83. The age of the father is 4 times the son’s age. 5 years ago it was 7 times the son’s age. What is his age now? <ul><li>Let us assume father’s age = X , son’s age is X /4 . </li></ul><ul><li>(X-5) / (X/4 – 5) =7 or (X-5)/ (X – 20)/4 =7 </li></ul><ul><li>Or 4X- 20 = 7X – 140 </li></ul><ul><li>- 3X = -120, or X = 40 Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  84. 84. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  85. 85. What is the difference between a discount of 40% on Rs. 1000 and two successive discounts of 35% and 5% on the same amount? <ul><li>=1000*.35*.05 = discount of 350+32.5 </li></ul><ul><li>v/s discount of 400. the difference is : 17.5 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  86. 86. A man sold a horse at a loss of 7%. Had he been able to sell it at a gain of 9%, it would have fetched Rs.64 more than it did. What is the cost price of the horse? <ul><li>64 *100/16 = 400 answer </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  87. 87. Solve it .. <ul><li>On an article marked Rs.20000, a customer has a choice between three successive discounts of 20%, 2O% and l0% and three successive discounts of 40%, 5% and 5%. By choosing the better offer, determine the amount he can save. </li></ul><ul><li>Solution : </li></ul><ul><li>20000*.8*.8*.9 v/s 20000*.6*.95*.95 </li></ul><ul><li>=12000 v/s 10300. thus savings are 1700. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  88. 88. A manufacturer sells a vehicle to a dealer at a profit of 40%, the dealer sells it to a customer at a profit of 30% and the customer sells it to a friend for Rs.7280 at a loss of 2O%. Find the cost price of the vehicle for the manufacturer? <ul><li>7280*100/80*100/130*100/140 = 5000. ans. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  89. 89. What profit percent is made by selling an article at a certain price, if by selling it at two-thirds of that price, there would be a loss of 20%? <ul><li>80 *3/2 = 120 thus there will be profit of 20%. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  90. 90. Two articles are sold at Rs.198 each such that a prof1t of 10% is made on the first while a loss of 10% is incurred on the other. What would be the net profit/loss on the two transactions combined? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  91. 91. Solution <ul><li>Sold </li></ul><ul><li>Profit on first 198 *10/110 =18 </li></ul><ul><li>Loss on 2 nd = 198 * 10/90 =22 </li></ul><ul><li>There is net loss of Rs. 4 </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  92. 92. .A person purchases 50 dozen toys at Rs.4 per dozen. Of these, 40 toys were found broken. At what price should he sell the remaining toys in order to make a profit of 5%? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  93. 93. Solution <ul><li>No. toys : 50 * 12 = 600 </li></ul><ul><li>Defective = 40 </li></ul><ul><li>Net = 560 </li></ul><ul><li>Cost : 4 * 50 = 200 </li></ul><ul><li>add profit = 5% = 10 </li></ul><ul><li>Selling price = 210 </li></ul><ul><li>No. of dozens = 560/12 = 46.66 dozens </li></ul><ul><li>New sale price per dozen= 4.5 answwer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  94. 94. .A fruit vendor sells apples at cost price but uses false weight of 960 gm instead of 1 kg. Find the gain %. <ul><li>Profit = 1000 grams – 960 grams </li></ul><ul><li>= 40 </li></ul><ul><li>Cost = 960 </li></ul><ul><li>Profit = 40/960 *100 = 4.16% answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  95. 95. <ul><li>A engaged 40 labourers on a job. He was paid Rs.1,050 for the work. After retaining 20% of it, he distributed the remaining amount amongst the labourers. If the number of men to women labourers was as 5: 3 and their wages were as 3 : 2, then how much did a man get as wages? </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  96. 96. Solution <ul><li>No . Of men = 5/ (5+3) *40 = 25 </li></ul><ul><li>25 men were working </li></ul><ul><li>Total payments to men: </li></ul><ul><li>5*3 = 15, women : 3*2 = 6 </li></ul><ul><li>Thus payment received was 15/21 * (1050*.8) </li></ul><ul><li>=total payment received = 600 </li></ul><ul><li>Payment per man – 600/25 = 24 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  97. 97. arrange eight of the nine numbers 2,3,4,5, 7,10, 11,12,13 in the vacant squares of 3X4 array shown below so that the arithmetic average of the numbers in each row and column is the same integer. What is their average? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  98. 98. Solution <ul><li>Let us add these numbers: </li></ul><ul><li>Sum( 1,2,3,4,5, 7,9,10, 11,12,13,14,15, - X) </li></ul><ul><li>X = left out number </li></ul><ul><li>=106-X </li></ul><ul><li>Let us assume average = Y </li></ul><ul><li>The average is same, so total of columns should be 4Y. </li></ul><ul><li>3*(4Y) = 106-X </li></ul><ul><li>12Y = 106 – X, by hit and trial, we know that X should be 10. Thus Y = 8. </li></ul><ul><li>Thus average is 8 and left out number is 10. </li></ul><ul><li>Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  99. 99. For how many integers N, N/(20—n) is the square of an integer? <ul><li>(a) 0 (b) 1 </li></ul><ul><li>(c) 2 (d) 3 </li></ul><ul><li>(e) 4 </li></ul><ul><li>Solution : square cannot be negative, so 20-N must be positive. Therefore N can be upto 19 only. By trial, we can see that when N = 16, this is square, there is no other option, Thus answer is B. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  100. 100. Puzzle <ul><li>A truck tra veiled from town A to town B over several days. During the first day, it covered 1/p of the total distance, where p is a natural number. During the second day, it travelled 1/q of the remaining distance, where q is a natural number. Duthig the third day, it travelled i/p of the distance remaining after the second day, and during the fourth day, l/q of the distance remaining after third day. By the end of the fourth day the truck had travelled 3/4 of the distance between A and B. </li></ul><ul><li>The value of p+q is </li></ul><ul><li>(a) 4 0) 5 </li></ul><ul><li>(c) 6 (d) 7 </li></ul><ul><li>(e) 8 </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  101. 101. Solution <ul><li>Try from options, it cannot be 5 or 6, it has to be higher value 7 or 8. Let us try for 7. </li></ul><ul><li>Let us assume that the number is 144 (we have assumed it because 4*3*4*3 = 144) </li></ul><ul><li>First day: 36 is used, left out is 108. 2 nd day: 36 is used and left out is 72. 3 rd day: 18 is used and left out is 54. 4 th day 18 is used and left out is 36. </li></ul><ul><li>We know that now 1/4 th is left out, so our condition is fulfilled. Thus this is the answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  102. 102. In a certain factoiy, each day the expected number of accidents is related to the number of overtime hour by a linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported, and on another day there were 400 overtime hours logged and 5 accidents. What are the expected numbers of accidents when no overtime hours are logged? <ul><li>(a) 2 (b) 3 </li></ul><ul><li>(c) 4 (d) 5 </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  103. 103. Solution <ul><li>Let us frame 2 equations and use them to solve this question: </li></ul><ul><li>8 = 1000X +Y </li></ul><ul><li>5 = 400 X +Y </li></ul><ul><li>Solving these we get : 3 = 600X </li></ul><ul><li>X = 1/200; putting this value, we get Y. </li></ul><ul><li>Y = 3. </li></ul><ul><li>Thus when there is no overtime, the number of accident is 3. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  104. 104. In which year did the firm pay maximum tax? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  105. 105. Solution <ul><li>Since all the figures are in %, we cannot calculate the value of taxes paid as absolute value. We are not aware of change in sales also. So answer : cannot be determined. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  106. 106. Solve it : <ul><li>Seven integers A, B, C,D, E, Fand G arc to be arranged in an increasiug order such that </li></ul><ul><li>i. First four numbers are in arithmetic progression. </li></ul><ul><li>ii. Last four numbers are in geometric progression. </li></ul><ul><li>iii. There exists one number between E and G. </li></ul><ul><li>iv. There exist no numbers between A and B. </li></ul><ul><li>v. D is the smallest number and E is the greatest. </li></ul><ul><li>Vi. A / D = G /C = F / A >1 </li></ul><ul><li>vii. E= 960 </li></ul><ul><li>What is E / A? </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  107. 107. SOLUTION <ul><li>F is more than A and A is more than D and G is more than C. </li></ul><ul><li>D is smallest :D - - - - - - E (G will come one less than E, A and B are close. C has to be near D. </li></ul><ul><li>D C B A G F E </li></ul><ul><li>The last four are in GP. </li></ul><ul><li>Thus E = A *r^3 (because it is GP) and A = D +3(common difference) </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  108. 108. Continued… <ul><li>E = 960 </li></ul><ul><li>Let us find factors of 960 </li></ul><ul><li>2*2*2*2*2*2*3*5 </li></ul><ul><li>Thus A must be 15 and ratio must be 4 </li></ul><ul><li>The numbers will be : 15,60,240,960. </li></ul><ul><li>Or A may be 120 and ratio may be 2, the numbers will be 120,240,480 and 960 </li></ul><ul><li>Thus F/A = 240/15 = 16 or 480/120 = 2. </li></ul><ul><li>The 2 nd option is better. Thus A/D = 2 and D = 60 </li></ul><ul><li>We can write that A = D + (3*common difference) </li></ul><ul><li>=120=60 +(3*common difference). </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  109. 109. Continued… <ul><li>120=60 +(3*common difference). </li></ul><ul><li>Common difference is 20 </li></ul><ul><li>Thus the numbers are : </li></ul><ul><li>60,80,100,120,240,480,960 </li></ul><ul><li>Thus we can find answer to the question: E/A </li></ul><ul><li>=960/120 = 8 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  110. 110. Goti and Nitin could do a piece of work in 12 days. Nitin and Kap together do lt In 15 days. If Goti is twice as good a workman as Kap, find in how many days Goti alone will do it? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  111. 111. Solution <ul><li>G = 2K (now add the two equations) </li></ul><ul><li>2K+N+N+K = 1/12+1/15 = 27/180, </li></ul><ul><li>K+N = 1/15 or 2 (K+N) = 2/15 </li></ul><ul><li>3K +2N = 3/20 </li></ul><ul><li>K = 3/20 – 2/15 = 1/60 </li></ul><ul><li>Thus Kap can do it in 60 days. </li></ul><ul><li>Goti being twice fast, can do it in 30 days alone. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  112. 112. Goti car paint a fence 100 metres long in 6 days, then how much time will both Goti and his friend Kap take, if Kap is thrice as efficient as Goti? <ul><li>Goti’s one day work = 1/6, Kap=3*1/6 </li></ul><ul><li>1/6 + 3/6 = 4/6 </li></ul><ul><li>Thus they will take 6/4 = 1.5 days to complete the work. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  113. 113. Two pipes A and B can fill a cistern in 10 and 15 minutes respectively. Both pipes are opened together but at the end of 3 minutes, ‘B’ is turned off. How much time will the cistern take to fill? <ul><li>3/10 +3/15 = 75/150 thus the remaining pipe A will take 5 minutes to fill up the tank. Total time: 2+5 = 7 minutes. Ans. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  114. 114. Explanation <ul><li>75/150 = is half of the total pip3 thus the pipe is helf illed. Thus A can fill the remaining portion in 5 minutes (it takes 10 minutes to fill completely). </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  115. 115. A is twice as good a workman as B; and together they finish a work in 14 days. In how many days can it be done by each separately? <ul><li>Let us assume that A takes X and B takes 2X days. 1/2x + 1/x = 1/14 </li></ul><ul><li>Let us assume 1/x = Y </li></ul><ul><li>Y/2 + Y = 1/14 </li></ul><ul><li>3/2Y = 1/14 or Y = 2/42 or 1/21 </li></ul><ul><li>Thus A can do it in 21 days and B in 42 days. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  116. 116. If 20 men complete one-third of a piece of work in 20 days, how many more men should be employed to finish the rest of the work in 25 days? <ul><li>Total work left = 2*20 = 40 days. </li></ul><ul><li>Total mandays required = 40*20 = 800 </li></ul><ul><li>Thus no. of persons required = 800/25=32 </li></ul><ul><li>Additional persons required = 32-20=12 persons. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  117. 117. Goti can copy 75 pages in 25 hours Goti and Kap together can copy 135 pages in 27 hours In what time can Kap copy 42 pages? <ul><li>Goti copies 3 pages in one hour. Thus he copies 27*3 = 81 pages. Kap copies (135-81) = 54 pages in 27 hours, or 2 pages in one hour. Thus 42/2 = 21 hours will be taken by Kap Sa. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  118. 118. goti & Kap can do a piece of work in 4.8 days, Kap and Jitu together can do it in 8 days and the three together in 4 days. How long would Goti & Jitu together take to do it’ www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  119. 119. Solution <ul><li>(calculate for 1 day and add them to get the ans.) </li></ul><ul><li>G+K +K +J= 1 / (4.8) + 1/8 </li></ul><ul><li>GKKJ = 12.8 / 38.4 </li></ul><ul><li>GKJ = ¼ </li></ul><ul><li>K = 12.8 / 38.4 - ¼ </li></ul><ul><li>= (12.8 – 9.6) / 38.4 </li></ul><ul><li>= 3.2 / 38.4 = 1/12 </li></ul><ul><li>Thus G+J = ¼ - 1/12 = 2/12 = 1/6 </li></ul><ul><li>G + J will do it in 6 days. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  120. 120. A person works twice as fast as a woman. A woman works twice as fast as a child. If 16 persons can complete a job in 12 days, then how many days would be required for 32 women and 64 children together to complete the same job? <ul><li>32 women = 16 men </li></ul><ul><li>64 children = 16 men. </li></ul><ul><li>Thus they will together do it in 6 days. Ans. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  121. 121. 3 pipes A, B and C can fill a cistern in 15, 20 and 30 min. respectively. They were all turned on at the same time. After 5 minutes the first two pipes were turned off. In what time will the cistern be filled? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  122. 122. Solution <ul><li>5/15 + 5/20 5/30 </li></ul><ul><li>= (20+15+10) / 60 = 45/60 or ¾ </li></ul><ul><li>Thus remaining ¼ of the cistern can be filled by C in 7.5 minutes only. </li></ul><ul><li>Thus total time taken is 5 + 7.5 =12.5 minutes </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  123. 123. A certain number of men can finish a piece of work in 100 days. If, however, there are 10 men less, it would take 10 days more for the work to finish. How many men were there? <ul><li>Let the number of men = X </li></ul><ul><li>Total work = 100X </li></ul><ul><li>(X-10) 110 = 100X or 110X -1100 = 100X </li></ul><ul><li>10X = 1100 or X = 110. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  124. 124. A, B and C can do a piece of work in 20, 20 and 40 days respectively. They began the work together but C left 2 days before the completion of work. In how many days would the work have been completed? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  125. 125. Solution <ul><li>For 2 days only A and B worked </li></ul><ul><li>2/20 + 2/20 = 4/20 or 1/5 </li></ul><ul><li>Together (all three) : </li></ul><ul><li>1/20+1/20+1/40 = (2+2+1) / 40 = 1/8 </li></ul><ul><li>Thus they take 8 days to complete the work, but they completed only 4/5 work together, so 8*4/5 = 6.4 days were taken by them. Thus total days : 8.4 days. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  126. 126. ERROR SPOTTING Industrial accidents/(1)usually result into /(2) ignorance/(3)or carelessness/(4) No Error (5) <ul><li>The correct sentence should be : </li></ul><ul><li>Industrial accidents are caused by ignorance or carelessness. </li></ul><ul><li>So answer is (2) </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  127. 127. Some people are like (1)to do a lot of social work/(2)even though they are poor(3)and lack resources <ul><li>Correct sentence should be : </li></ul><ul><li>Some people want / are likely to do a lot of social work, even though they are poor and lack resources. </li></ul><ul><li>So answer is (1) . </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  128. 128. ERROR SPOTTING Some men (1)have conveniently believe (2)that women are inferior to(3) men in respect of abilities.(4) No Error (5) <ul><li>(2) = it should be : have conveniently believed. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  129. 129. ERROR SPOTTING His qualities include(1)the ability to take/(2)right and/(3)quickly decisions.(4)/ No Error(5) <ul><li>ANSWER : (4) </li></ul><ul><li>It should be quick decisions. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  130. 130. ERROR SPOTTING If you want to (1)ensure prompt service (2)please be contacted to us (3) at your earlier convenience. (4) No Error (5) <ul><li>Answer : (3) please contact us OR please be in contact with us </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  131. 131. They founded (1)this institution for/(2)the welfare of the poor (3) and the disable people.(4) No Error (5) <ul><li>Answer (4) it should be : </li></ul><ul><li>For the disable (there is no need to put people with disable). </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  132. 132. He asked me/U) what had my total investrnents(2)during the (3) last five years.(4) No Error. (5) <ul><li>Answer : (2) it should be : </li></ul><ul><li>What had my total investments been </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  133. 133. He takes the(1) prescribed medicine regularly(2) and that is how(3) he has succeed to control his ailment.(4) No Error (5) <ul><li>Answer : (3) </li></ul><ul><li>It should be : this is how </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  134. 134. We should take(1) regular exercises to keep ourself (2) fit and active.(3) No Error (4) <ul><li>(2) it should be : regular exercises to keep </li></ul><ul><li>(there is no need of ourself). </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  135. 135. Each time (1) you reached this spot (2) go back and(3) start your next (4) round again.(4) No Error (5) <ul><li>(2) it should be – you reach this spot. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  136. 136. SENTENCE IMPROVEMENT <ul><li>The honourable court had taken a leniency view because the accused had no previous criminal record. </li></ul><ul><li>(1) had viewed leniency (2) had taken a leniency viewing </li></ul><ul><li>(3) had taken a lenient view(4) Noae of these </li></ul><ul><li>(5) No correction required </li></ul><ul><li>Solution: </li></ul><ul><li>(3) </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  137. 137. Sentence improvement <ul><li>Maintaining global peace is our self-made commitment to the word. </li></ul><ul><li>(1) self-making commitment </li></ul><ul><li>(2) self-made committee </li></ul><ul><li>(3) made of self-connnitment </li></ul><ul><li>(4) None of these </li></ul><ul><li>(5) No correction required </li></ul><ul><li>Solution (5) </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  138. 138. The dinner party hosted by the President at the club was shifted to an undisclosed location. <ul><li>(1) a locality undisciosing </li></ul><ul><li>(2) a undisc location </li></ul><ul><li>(3) an undisc location </li></ul><ul><li>(4) None of these </li></ul><ul><li>(5) No correction required </li></ul><ul><li>Solution </li></ul><ul><li>(5) </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  139. 139. Sentence improvement <ul><li>The government should launch such projects which should reversible the destructive cycle of flood and drought. </li></ul><ul><li>(1) should have reversible (2) should be reverse (3) should have been reverse </li></ul><ul><li>(4) None of these </li></ul><ul><li>(5) No correction required </li></ul><ul><li>Solution : </li></ul><ul><li>(4) correct answer: should reverse </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  140. 140. A comnilttee comprising eminent experts from various fields were setting up. (1) was setup (2) was setting up (3) were being set up (4) None of these (5) No correction required <ul><li>Solution : (1) </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  141. 141. Our foreign exchange reserves have been increased substantial. (1) have been increased substantially (2) have increased substantially (3) have substantially increasing (4) None of these (5) No correction required <ul><li>Solution : (2) </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  142. 142. The key to a competitive economy is its investment regime. <ul><li>(1) competition economy is </li></ul><ul><li>(2) competing economist lays </li></ul><ul><li>(3) economy competition was </li></ul><ul><li>(4) None of these </li></ul><ul><li>(5) No correction required </li></ul><ul><li>Solution </li></ul><ul><li>(5) </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  143. 143. Driving a car in jammed traffic require extraordinary patience - especially when other drivers are not disciplined. (1) required extraordinary patient (2) requires extraordinary patience (3) requiring extraordinary patience (4) None of these (5) No correction required <ul><li>Solution (2) </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  144. 144. Chinese army possesses highly sophisticated simulotors on which their soldiers are training. <ul><li>(1) which their soldiers training on </li></ul><ul><li>(2) on which their soldiers have trains </li></ul><ul><li>(3) which their soldiers do train </li></ul><ul><li>(4) None of these </li></ul><ul><li>(5) No correction required </li></ul><ul><li>Solution : last part : soldiers are getting training. (so answer is (4)) </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  145. 145. Every novel activity will be likely to face resistance from vested interests. <ul><li>(1) is likely to face </li></ul><ul><li>(2) would be like facing </li></ul><ul><li>(3) No correction required </li></ul><ul><li>(4) will be likely facing </li></ul><ul><li>(5) None of these </li></ul><ul><li>Solution : (1) </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  146. 146. We observed that traders were not primarily dedicated with art of selling. <ul><li>(1) dedicated to the art of(2) None </li></ul><ul><li>(3) dedicated in the art by </li></ul><ul><li>(4) dedicated by the art of </li></ul><ul><li>(5) No correction required </li></ul><ul><li>Solution (1) preposition error . </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  147. 147. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  148. 148. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  149. 149. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  150. 150. If expenses per participant during the meeting is Rs.200 in 1995, which keeps on increasing at the rate of 10% per year, then what are the total expenses (in Rs.thousand) in 1996. The graph below shows the number of participants coming from different regions? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  151. 151. Solution <ul><li>200*1.1*360 = 79200 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  152. 152. The following graph shows profits of 5 companies. What was the average profit in 1979? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  153. 153. Solution : <ul><li>A =130 </li></ul><ul><li>B = 40 </li></ul><ul><li>C = 110 </li></ul><ul><li>D = 60 </li></ul><ul><li>E = 90 </li></ul><ul><li>Let us add them and divide by 5: </li></ul><ul><li>=430/5 = 86 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  154. 154. Solve it <ul><li>A cube with edges equal to 8cm is painted on all the six faces and is subsequently cut into 64 identical cubes. The number ct smaller cubes painted on atleast two faces is </li></ul><ul><li>(1) 24 (2) 16 </li></ul><ul><li>(3) 36 </li></ul><ul><li>(4) 32 </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  155. 155. Solution <ul><li>There are four on the top right side. There are 4 on the opposite side also (4*4*4 = 64). </li></ul><ul><li>Thus we have 4+4+2+2 cubes in front, same 12 in the back side also. We have 8 in sides also. Thus we have 32 cubes. </li></ul><ul><li>Ans. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  156. 156. Solve it <ul><li>The perimeter of a regular hexagon is 36cm. The area of the hexagon is </li></ul><ul><li>(1) 54*sqrt(3) sq cm (2) 108*3 sq cm </li></ul><ul><li>(3) 27*3 sq cm (4) 18*3 sq cm </li></ul><ul><li>Solution: </li></ul><ul><li>One side of hexagon = 6 </li></ul><ul><li>One triagle = ((sqrt(3)/4 * side )^2 =1.7/4* 36 </li></ul><ul><li>Hexagon = 6* equilateral triangle = 6*sqrt(3)/4*36 </li></ul><ul><li>=54* sqrt(3) ans </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  157. 157. Solve it … <ul><li>How many patient does the doctor examine in a day, if he treats 5 patients in 3 hours with breaks of 10 minutes between two consecutive patients and works for 10 hours per day? </li></ul><ul><li>(1) 16 (2) 15 </li></ul><ul><li>(3) 12 (4) 20 </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  158. 158. Solution <ul><li>3 hours = 180 minutes </li></ul><ul><li>Break = 4*10 = 40 </li></ul><ul><li>Time per patient = 140 / 5 = 28 minutes </li></ul><ul><li>Total time : 10 hours *60 = 600 minutes </li></ul><ul><li>600 – 28 = 572 </li></ul><ul><li>Now dividing 572 / (28+10) = 15 </li></ul><ul><li>Thus the doctor checks 15+1 = 16 patients. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  159. 159. If the interior angle of a regular polygon is twice its exterior angle then the polygon is a (1) rhombus (2) pentagon (3) hexagon (4) heptagon <ul><li>Interior angle = 2X and exterior angle = X </li></ul><ul><li>3X = 180 or X = 60 </li></ul><ul><li>Thus one exterior angle is 60 </li></ul><ul><li>Thus 360/60 = 6 </li></ul><ul><li>Thus the shape is hexagon. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  160. 160. DATA SUFFICIENCY QUESTION. 40 pens were distributed equally amon all the participants, then how many participants were there? (A) The number of participants was a prime number greater than 10. (B) The leftover pen was kept by the Chairman. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  161. 161. Solution <ul><li>If we combine both the statements, we can get the answer. One pen was left (given to the chairman), so 39 pen were distributed. </li></ul><ul><li>39 = 3*13 </li></ul><ul><li>Thus the number of participants must be either 3 or 13. since it had to be above 10, therefore the answer is 13. (so answer can be drawn with the help of both the students together). Ans. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  162. 162. WHAT IS THE VALUE OF X www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  163. 163. WHAT IS THE VALUE OF X www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  164. 164. Data sufficiency question. <ul><li>Is the series a GP? </li></ul><ul><li>(A) If the third term is twice the second. </li></ul><ul><li>(B) The fourth term is eight times the first. </li></ul><ul><li>Solution </li></ul><ul><li>Let us start from 1 </li></ul><ul><li>1,2,4,8 = yes it is GP </li></ul><ul><li>Thus the answer can be drawn with the help of both the statements. Ans. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  165. 165. The number of common terms in the two-seç 17, 21, 25,.. ., 417 and 16, 21, 26,. . ., 466 <ul><li>Let us start from 21. In the first term the gap is of 4 and in second series the gap is of 5. their LCM is 20 so we have to find the gaps of 20 each. </li></ul><ul><li>Last term is 417. let us deduct 21 from 417, we get 396. now let us divide it by 20. We get : 19. Thus we have 19+1 = 20 common terms. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  166. 166. Solution continued. .. . <ul><li>The final series is : </li></ul><ul><li>21,41,61,81,101,121,141,161,181,201,221,241,261,281,301,321,341,361,381,401, </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  167. 167. What is the total production of machine no. 3? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  168. 168. Solution <ul><li>Production accepted : 100 – 27 = 73%. </li></ul><ul><li>Thus total production </li></ul><ul><li>100/73 * 438 = 600 units answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  169. 169. <ul><li>The integers 1, 2,..., 40 are written on a blackboard. The following operation is then repeated 39 times: In each repetition, any two numbers, say a and b, currently on the blackboard are erased and a new number a + b —1 is written. What will be the number left on the board at the end? </li></ul><ul><li>Options: (1) 820 (2) 821 (3) 781 (4) 819 (5) 780 </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  170. 170. Solution …. <ul><li>In the first round, we add up 1 and 2 and get 2. now we take up 2 and 3, we get 4, now we take up 4 and 4 and get 7. now we take up 7 and 5 and get 11. Now we take up 11 and 6 and get 16. We can find that we have an increasing series : </li></ul><ul><li>2,4,7,11,16 …. … </li></ul><ul><li>Let us add 1 to 39. =39*40/2 = 780 </li></ul><ul><li>Let us add 780 + 1= 781 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  171. 171. What is the total sale (in no. of units) in the year 1991? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  172. 172. <ul><li>= 82016 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  173. 173. What is the % increase in the sale of VCR in 1993 against 1992? <ul><li>Sale in 1993 =6151 </li></ul><ul><li>Sale in 1992 = 3006 </li></ul><ul><li>Difference = 3145 </li></ul><ul><li>Increase in % = 3145/3006 *100 </li></ul><ul><li>= 105% answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  174. 174. This graph shows price of 4 shares, what is the average price of these 4 shares? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  175. 175. Solution <ul><li>Let us add them: </li></ul><ul><li>(150+40+120+90)/4 = 100 answer </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  176. 176. what is the production of food grains in 1991, expressed as a percentage of its production in 1989? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  177. 177. Solution <ul><li>15/20 *100 = 75 % answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  178. 178. Which is the most logical idea? <ul><li>If an ant were as big as a horse, could it move mountains? </li></ul><ul><li>No. A giant ant . . . . . (select from a,b,c,d) </li></ul><ul><li>(a) Would be a structural failure. </li></ul><ul><li>(b) Would never be able to move mountains. </li></ul><ul><li>(c) Would be a mere curiosity. </li></ul><ul><li>(d) Would never be able to hunt for food. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  179. 179. Solution <ul><li>A giant Ant would not be able to move mountains because it is just a curoisity (we are not sure about what could it do). Other options are not logical – as logically we cannot say that it is structural failure or it cannot hunt for food or it cannot move mountains. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  180. 180. Puzzle test… <ul><li>Nine cricket fans are watching a match in a stadium. Seated in one row, they are J, K, L, M, N, 0, P, Q and R. L is at the right of M and at third place at the right of N. K is at one end of the row. Q is immediately next to 0 and P. 0 is at the third place at the left of K. J is right next to left of 0. </li></ul><ul><li>Who is sitting in the centre of the row? </li></ul><ul><li>(a)L (b)O </li></ul><ul><li>(c)J (d)Q </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  181. 181. Solution … <ul><li>NRMLJOPQK </li></ul><ul><li>J IS IN THE CENTRE </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  182. 182. A and B start walking in opposite directions. A covers 3 km and B covers 4 km. Then A turns right and walks 4 km while B turns left and walks 3 km. How far is each from the starting point? <ul><li>A is 3 KM in one direction and 4 KM in right. Applying pythogorus, we find that A is 5 KM from the starting point. Similarly B is also 5 KM from the starting point. Ans. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  183. 183. Ram walks 10 m south from his house, turns left and walks 25 m, again turns left and walks 40 m, then turns right and. walks 5 m to reach to school. In which direction the school is from his house? <ul><li>Draw a map and get the answer = north-east. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  184. 184. In a class of 35 students Kiran is placed 7th from the bottom whereas Sohan is placed 9th from the top. Mohan is placed exactly in between the two. What is Kiran’s position from Mohan? <ul><li>10 th </li></ul><ul><li>From 9 th to the top and 7 th to the bottom, we have 21 candidates (35-(6+8) ). Mohan is just in the centre. So from Mohan, Kiran is at 10 th place. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  185. 185. A watch reads 4 If the minute hand points towards the East, in which direction does the hour hand point? <ul><li>The hour hand is towards South West. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  186. 186. Puzzle <ul><li>Goti and I started walking towards each other from two places lOO m apart. After walking 30m, Goti turns left and goes lO m, then he turns right and goes 20m then turns right again and comes back to the road and starts walking. If we walk with the same speed, what is the distance between us at this point of time </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  187. 187. Solution <ul><li>(Goti walks 70 meters in all), so I walk 70 meters towards Goti’s starting point and now I am 30 meters from that. Goti takes only 30+20 meters on the road. Thus Goti is 50 meters from my starting point. Thus there is a gap of 20 meters between me and Goti. Answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  188. 188. Sum of 1 st to 30th terms of a series in arithmetic progèssion is 150. if the first term is A, what is 30 th term of the series? <ul><li>Sum = 30/2 (2a + (29)D) = 150 </li></ul><ul><li>2a + 29d =150*2/30 = or 29 D = 10 – 2A </li></ul><ul><li>30 th term = A + 29D </li></ul><ul><li>29 D = 10 – 2A, putting the value, we get the answer = 10 – A answer </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  189. 189. Question on number system <ul><li>Convert 252 into binary system </li></ul><ul><li>252 / 2 = 126 / 2 = 63/2 = 31/2 = 15/2 = 7/2 = 3/2 =1 (starting from last remainder to the first) </li></ul><ul><li>11111100 answer. </li></ul><ul><li>Convert it again to decimal system: </li></ul><ul><li>1*2^7+1*2^6+1*2^5+1*2^4+1*2^3+1*2^2+0*2^1+0*2^0 = 128+64+32+16+8+4 = 252 </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  190. 190. Multiply 12 to 13 ( note - both are octal numbers, your outcomes must also be in octal numbers)? <ul><li>Let us first convert them into decimal numbers: 12= 1*8^1 + 2*8^0 =10 </li></ul><ul><li>13 = 1*8^1 + 3*8^0 =11 </li></ul><ul><li>Now multiply 10 to 11 = 110 </li></ul><ul><li>Now convert it into octal number: </li></ul><ul><li>110/8 = 13 / 8 </li></ul><ul><li>=156 </li></ul><ul><li>Test = now convert 156 to decimal number </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  191. 191. Convert 156 (octal) to decimal number ….. <ul><li>1*8^2 + 5*8^1 + 6*8^0 </li></ul><ul><li>=64+40+6 </li></ul><ul><li>=110 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  192. 192. Multiply 5 (base 16) to 12 (base 7) and get the outcome in binary? <ul><li>(5*16^0 ) * (1*7^1 +2*7^0) </li></ul><ul><li>5 *9 = 45 </li></ul><ul><li>45/2 = 22/2 = 11/2 = 5/2 =2/2 1 </li></ul><ul><li>=101101 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  193. 193. 78.8% of a common medicine for stomach-upsets is absolute alcohol; 3.3% of it is mentha oil; 0.07% spear mint oil; and 0.177% chloroform. How much of each of these compounds is there in a pack of 30 ml? solution alchol = 23.6 ml, 1 ml of menthol oil and so. On. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  194. 194. What is the sum of cubes of the first 5 natural numbers? <ul><li>Formula </li></ul><ul><li>= [N (N+1)/2 ]^2 </li></ul><ul><li>= [5*6 / 2 ]^2 </li></ul><ul><li>=225 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  195. 195. What is the sum of squares of the first 13 natural numbers? <ul><li>Formula </li></ul><ul><li>=[n(n+1)(2n+1) ] /6 </li></ul><ul><li>=(13*14*27)/6 </li></ul><ul><li>=819 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  196. 196. In a Class of 80 pupils, the number of boys is three-fifths the number of girls. Determine the number of girls in the class. <ul><li>Let the number of girls be X </li></ul><ul><li>X + 3/5X = 80 </li></ul><ul><li>8/5 X = 80 </li></ul><ul><li>X = 80 *5/8 </li></ul><ul><li>X = 50 (the number of girls is 50, boys are 30) answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  197. 197. The difference between two numbers is 30. On dividing the greater by the smller the quotient is 3. Find the numbers. <ul><li>Let the smaller number be X. </li></ul><ul><li>3X – X = 30 </li></ul><ul><li>2X =30; X = 15, </li></ul><ul><li>Thus 2 numbers are 15 and 45 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  198. 198. Gunpowder contains 75% nitre and 10% sulphur. The rest of it is charcoal. What is the amount of charcoal in 9 kg of gunpowder. <ul><li>Charcoal is (100 – 75 – 10) = 15% </li></ul><ul><li>9 KG = 9000 Grams </li></ul><ul><li>9000*15/100 </li></ul><ul><li>=1350 grams answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  199. 199. Question on profit <ul><li>At what percentage alove the Cost price must an article be marked so as to gain 33% after allowing the customer a discount of 5%? </li></ul><ul><li>(a) 48% (b) 43% </li></ul><ul><li>(c) 40% (d) 38% </li></ul><ul><li>(e) None of the above </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  200. 200. Solution … <ul><li>Let the cost be 100 </li></ul><ul><li>Final price being realised 133 </li></ul><ul><li>It is after discount, so price before discount (marked price) is : </li></ul><ul><li>133*100/95 =140 , so 40 is the answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  201. 201. A vertical pole PO is standing at the centre 0 of a square ABCD. If AC subtends an angle 90° at point P of the pole then the angle subtended by a side of the square at P is (a) 35° (b) 45° (c) 30° (d) 60° (e) None of the above www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  202. 202. Solution <ul><li>When diagonal (in a square) makes angle of 90 degree in a pyrimidical shape, then sides make angles of 60 degree. (rule). </li></ul><ul><li>So answer is 60 degrees. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  203. 203. Find the per cent of pure gold in 22 carat gold, if 24 carat gold is cent per cent pure gold. <ul><li>22/24 *100 </li></ul><ul><li>=91.67 % answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  204. 204. In the diagram the two circles pass through each other’s centre. If the radius of each circle is 2, what is the perimeter of the region marked B? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  205. 205. Solution <ul><li>Permieter of one circle is 2/3 now because, it is being cut by other circle. </li></ul><ul><li>Thus 2/3 + 2/3 of perimeters added : </li></ul><ul><li>2 * 2/3 * (formula of perimeter = 2pi *r) </li></ul><ul><li>=(8 * pi * r) /3 answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  206. 206. What is angle C? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  207. 207. Solution <ul><li>Angle O is double the angle A. Thus it is 100 degree. Thus C is (180 -100)/2 = 40 degrees answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  208. 208. What is angle a? www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  209. 209. Solution <ul><li>Angles from D and C are equal . </li></ul><ul><li>180 – 60 – 37 – x </li></ul><ul><li>=83 – x </li></ul><ul><li>Let us sum up for two angles: </li></ul><ul><li>(180+180 ) = 360 </li></ul><ul><li>83-x + 83 – x + 180+2X = 360 </li></ul><ul><li>2Y +2X = 180 let us assume Y = 53 </li></ul><ul><li>2X = 72 or X = 36 answer (solve by options, so angle A = 53 ) answer. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  210. 210. ABOUT AFTERSCHO☺OL <ul><li>Afterschoool conducts three year integrated PGPSE (after class 12 th along with IAS / CA / CS ) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CMA / FRM . This course is also available online also. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  211. 211. Why such a programme? <ul><li>To promote people to take up entrepreneurship and help develop the society </li></ul><ul><li>To enable people to take up franchising and other such options to start a business / social development project </li></ul><ul><li>To enable people to take up social development as their mission </li></ul><ul><li>To enable people to promote spirituality and positive thinking in the world </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  212. 212. Who are our supporters? <ul><li>Afterschoolians, our past beneficiaries, entrepreneurs and social entrepreneurs are supporting us. </li></ul><ul><li>You can also support us – not necessarily by money – but by being promotor of our concept and our ideas. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  213. 213. About AFTERSCHO☺OL PGPSE – the best programme for developing great entrepreneurs <ul><li>Most flexible, adaptive but rigorous programme </li></ul><ul><li>Available in distance learning mode </li></ul><ul><li>Case study focused- latest cases </li></ul><ul><li>Industry oriented practical curriculum </li></ul><ul><li>Designed to make you entrepreneurs – not just an employee </li></ul><ul><li>Option to take up part time job – so earn while you learn </li></ul><ul><li>The only absolutely free course on internet </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  214. 214. Workshops from AFTERSCHO☺OL <ul><li>IIF, Delhi </li></ul><ul><li>CIPS, Jaipur </li></ul><ul><li>ICSI Hyderabad Branch </li></ul><ul><li>Gyan Vihar, Jaipur </li></ul><ul><li>Apex Institute of Management, Jaipur </li></ul><ul><li>Aravali Institute of Management, Jodhpur </li></ul><ul><li>Xavier Institute of Management, Bhubaneshwar </li></ul><ul><li>Pacific Institute, Udaipur </li></ul><ul><li>Engineering College, Hyderabad </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  215. 215. Flexible Specialisations: <ul><li>Spiritualising business and society </li></ul><ul><li>Rural development and transformation </li></ul><ul><li>HRD and Education, Social Development </li></ul><ul><li>NGO and voluntary work </li></ul><ul><li>Investment analysis,microfinance and inclusion </li></ul><ul><li>Retail sector, BPO, KPO </li></ul><ul><li>Accounting & Information system (with CA / CS /CMA) </li></ul><ul><li>Hospital management and Health care </li></ul><ul><li>Hospitality sector and culture and heritage </li></ul><ul><li>Other sectors of high growth, high technology and social relevance </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  216. 216. Salient features: <ul><li>The only programme of its kind (in the whole world) </li></ul><ul><li>No publicity and low profile course </li></ul><ul><li>For those who want to achieve success in life – not just a degree </li></ul><ul><li>Flexible – you may stay for a month and continue the rest of the education by distance mode. / you may attend weekend classes </li></ul><ul><li>Scholarships for those from poor economic background </li></ul><ul><li>Latest and constantly changing curriculum – keeping pace with the time </li></ul><ul><li>Placement for those who are interested </li></ul><ul><li>Admissions open throughout the year </li></ul><ul><li>Latest and most advanced technologies, books and study material </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  217. 217. Components <ul><li>Pedagogy curriculum and approach based on IIM Ahmedabad and ISB Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad) </li></ul><ul><li>Meditation, spiritualisation, and self development </li></ul><ul><li>EsGotitial softwares for business </li></ul><ul><li>Business plan, Research projects </li></ul><ul><li>Participation in conferences / seminars </li></ul><ul><li>Workshops on leadership, team building etc. </li></ul><ul><li>Written submissions of research projects/articles / papers </li></ul><ul><li>Interview of entrepreneurs, writing biographies of entrepreneurs </li></ul><ul><li>Editing of journals / newsletters </li></ul><ul><li>Consultancy / research projects </li></ul><ul><li>Assignments, communication skill workshops </li></ul><ul><li>Participation in conferences and seminars </li></ul><ul><li>Group discussions, mock interviews, self development diaryng </li></ul><ul><li>Mind Power Training & writing workshop (by Dr. T.K.Jain) </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  218. 218. Pedagogy <ul><li>Case analysis, </li></ul><ul><li>Articles from Harvard Business Review </li></ul><ul><li>Quiz, seminars, workshops, games, </li></ul><ul><li>Visits to entrepreneurs and industrial visits </li></ul><ul><li>PreGotitations, Latest audio-visuals </li></ul><ul><li>Group discussions and group projects </li></ul><ul><li>Periodic self assessment </li></ul><ul><li>Mentoring and counselling </li></ul><ul><li>Study exchange programme (with institutions out of India) </li></ul><ul><li>Rural development / Social welfare projects </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  219. 219. Branches <ul><li>AFTERSCHO☺OL will shortly open its branches in important cities in India including Delhi, Kota, Mumbai, Gurgaon and other important cities. Afterschooolians will be responsible for managing and developing these branches – and for promoting social entrepreneurs. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  220. 220. Case Studies <ul><li>We want to write case studies on social entrepreneurs, first generation entrepreneurs, ethical entrepreneurs. Please help us in this process. Help us to be in touch with entrepreneurs, so that we may develop entrepreneurs. </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  221. 221. Basic values at AFTERSCHO☺OL <ul><li>Share to learn more </li></ul><ul><li>Interact to develop yourself </li></ul><ul><li>Fear is your worst enemy </li></ul><ul><li>Make mistakes to learn </li></ul><ul><li>Study & discuss in a group </li></ul><ul><li>Criticism is the healthy route to mutual support and help </li></ul><ul><li>Ask fundamental questions : why, when, how & where? </li></ul><ul><li>Embrace change – and compete with yourself only </li></ul>www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  222. 222. www.afterschoool.tk social entrepreneurship for better society www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

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