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# Reasoning, Di And Mental Aptitude 10 October

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### Reasoning, Di And Mental Aptitude 10 October

1. 1. QUANTITATIVE APTITUDE & MATHEMATICS 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
2. 2. QUANTITATIVE APTITUDE & MATHEMATICS Dr. T.K. Jain. AFTERSCHO☺OL Centre for social entrepreneurship Bikaner M: 9414430763 [email_address] www.afterschool.tk , www.afterschoool.tk
3. 3. A water tank develops a leak at the bottom. When the tank is in good condition, it gets filled in 3.5 hr. It now takes half an hour longer for the tank to get completely filled. If the tank is full, how long would it take for the leak to empty the tank?
4. 4. Solution . . <ul><li>1/3.5 – ¼ = .5/14 or 1/28 </li></ul><ul><li>Thus the leak will empty the filled up tank in 28 hours. </li></ul>
5. 5. There are two women participating in a chess tournament. Each participant played two games with every other participants. The number of games played by the men among themselves exceeded by 63 than the number of games played by men against women. How many participants were there in the tournament? Options: 13,14,15,16
6. 6. Solution . . <ul><li>Let us assume that the number of men is M. </li></ul><ul><li>((m-1)*m )/2 - 2M = 63 </li></ul><ul><li>M^2 – M - 4M = 126 </li></ul><ul><li>M^2 -5M-126 = 0 </li></ul><ul><li>M^2 – 14M +9 M – 126 = 0 </li></ul><ul><li>M (M-14)+9(M-14) = 0 </li></ul><ul><li>M = 14 or -9 </li></ul><ul><li>Thus there are 14 Men and 2 women total is 16 answer is 16. </li></ul>
7. 7. A figure is composed of 6 squares in horizontal line, each with side ‘s’ cm. If the number of centimetres in the perimeter of the figure is equal to the number of square centimetres in its area, the value of ‘s’ is <ul><li>Area of the new rectangle: 6s*s= 6s^2 </li></ul><ul><li>Perimeter of New rectangle: 14 S </li></ul><ul><li>14s = 6s^2 or S = 14/6 = 2.33 answer. </li></ul>
8. 8. a, b, c (a > c) are three digits from left to right of a three-digit number. If the number with these digits reversed, is subtracted from the original number, then resulting number has the digit 4 in its unit’s place. The other two respective digits from left to right in the resulting number are
9. 9. Solution . . <ul><li>(100a + 10b + c) – (100c + 10b + a) </li></ul><ul><li>= 99 (a – c) = _ _ 4. </li></ul><ul><li>9 will give 4 at the end only if it multiplied by 6 </li></ul><ul><li>99*6 = 594 </li></ul><ul><li>Thus the other two digits will be 59 answer. </li></ul>
10. 10. A cellphone company, AIRFREE, decides to give the first 10 min of airtime free of cost if a person purchases the instrument from them, else it charges Re.1 per minute. For the next 20 min of airtime it charges its subscriber Rs. 4.5 per minute. The next 20 min are charged at Rs. 8 per minute. Thereafter, with every 10 min increase in airtime, the charge per minute drops by Re. 1, falling to a mimimum of Re.1 per minute. Bitthal buys the phone from Palika Bazaar, and then subscribes to AIRFREE company. His first bill shows an airtime of 2 hr 20 min. How much is he required to pay?
11. 11. Solution . . <ul><li>10 minutes = 10 </li></ul><ul><li>Next 20 minutes: 4.5 *20 = 90 </li></ul><ul><li>Next 20 = 8 = 160 </li></ul><ul><li>Next 10 Minutes: 7 = 70 </li></ul><ul><li>Next 10 : 60 </li></ul><ul><li>Next 10 = 50 </li></ul><ul><li>Next 10 = 40 </li></ul><ul><li>Next 10 = 30 </li></ul><ul><li>Next 10 20, 10, 10, 10. total is 560 answer. </li></ul>
12. 12. In the given figure, OX and OY are tangents and A and C are the centres of the circles. Find P- Q?
13. 13. Solution . <ul><li>OX and OB will be equal as they are tangent to a circle. Thus their angles will be equal. 180 – 56 = 124 divided by 2 gives 62. 90 – 62 gives 28 degree thus P is 28 degrees. Similarly, Q is 19 degrees. Thus their difference is 9 degrees answer. </li></ul>
14. 14. Keshav started journey with his car from Bikaner with tank full of fuel, 12 gallons exactly. However, the moment he started out, the fuel tank sprung a leak. He travelled at 50 miles per hr until he ran out of fuel exactly 4 hr later. Knowing that the car runs 25 miles for each gallon, how much fuel did he lose through the hole?
15. 15. Solution . . . <ul><li>50 * 4 = 200 Miles </li></ul><ul><li>200 / 25 = 8 gallons were used. </li></ul><ul><li>Thus 4 gallons was leaked out. </li></ul>
16. 16. A crazy mathematician (Hulash) went on listing all the six-digit numbers divisible by 7, 8 and 9. Then he deleted all the numbers which had not 523 as their first three digits. Which of the following may be a number in his new list? a. 523152 b. 523141 c. 523656 d. Both (a) and (c) <ul><li>Answer: D. - both A, & C </li></ul>
17. 17. A 10 hectares field is reaped by 2 men, 3 women and 4 children in 10 days. If 1 man, 1 woman and 1 child work in the ratio 5 : 4 : 2, then 16 hectares field will be reaped by 6 men, 4 women and 7 children in a. 5 days b. 6.5 days c. 7 days d. 8 days
18. 18. Solution . . <ul><li>Let us convert all to children : </li></ul><ul><li>In the first case we have 5+6+4 = 15 children </li></ul><ul><li>Now : 15+8+7 = 30 </li></ul><ul><li>10 *15/30 *16/10 =8 days. </li></ul>
19. 19. Mama gave Guddi a beautiful gold necklace as her birthday present. However, Guddi, being careless as she was, dropped the necklace which broke into five equal pieces of three links each. Guddi ran to a goldsmith and asked him to mend the necklace. The goldsmith said, “For every link that I open and solder, I’ll charge Rs. 10.” Thus, to get the chain mended, Guddi has to pay a minimum of a. Rs. 20 b. Rs. 30 c. Rs. 50 d. Rs. 150
20. 20. Solution. . .. <ul><li>Rs. 30 answer. </li></ul>
21. 21. 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>
22. 22. 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>
23. 23. 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>
24. 24. 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>
25. 25. 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>
26. 26. 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>
27. 27. 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>
28. 28. 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>Essential 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>
29. 29. 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>Presentations, 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>
30. 30. 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>
31. 31. 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>
32. 32. 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>
33. 33. www.afterschoool.tk social entrepreneurship for better society