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# Quantitative Aptitude & Mathematics 13 October Ii

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### Quantitative Aptitude & Mathematics 13 October Ii

1. 1. REASONING, DI AND MENTAL APTITUDE 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. REASONING, DI AND MENTAL APTITUDE Dr. T.K. Jain. AFTERSCHO☺OL Centre for social entrepreneurship Bikaner M: 9414430763 [email_address] www.afterschool.tk , www.afterschoool.tk
3. 3. Is the three-digit number ‘abc’ divisible by both 2 and 3? Statement 1: c - b = 3 and b — a = 2 Statement 2: 3a^2 is divisible by 2 <ul><li>STATEMPENT NO. 1 ALONE IS SUFFICIENT. WE MAY TRY FOR ANY OPTION THE TOTAL IS NOT PRODUCT OF 3 THUS THE NUMBER IS NOT DIVISIBLE BY 3. </li></ul>
4. 4. X and Y are sisters and X is younger to Y. What is the present age of X? Statement 1: The ratio of present ages of X and Y is 4 : 5 Statement 2: After 4 years, the ratio of ages of X and Y is 14 : 17 <ul><li>BOTH THE STATEMENTS TOGETHER CAN GIVE YOU THE ANSWER. LET US TAKE THEIR AGE AS 24 AND 30 AFTER 4 YEARS IT WILL BE 28 AND 34. ANS. </li></ul>
5. 5. There are 40 students in a class. What is the average weight of the students? Statement 1: There are 20 boys and 20 girls in the class Statement 2: The total weight of all the students in the class is 1,600 kg <ul><li>The 2 nd statement alone is sufficient to get the answer. </li></ul>
6. 6. Is A the grandson of B? Statement 1: B is the husband of C Statement 2: A is working as a Manager in B’s office <ul><li>Neither statement can give you the answer. </li></ul>
7. 7. Find the value of (x + y). Statement 1: x^3 + y^3=27 Statement 2:x^2 —xy+y^2 =9 <ul><li>Both the statements together are required. </li></ul><ul><li>27/9 = 3 is the answer. </li></ul>
8. 8. Vipin’s and Suresh’s salaries are in the ratio of 5 : 4. What is Vipin’s salary? Statement 1: Suresh’s salary is 80% of Vipin’s salary Statement 2: Suresh’s salary is Rs. 6,000 <ul><li>Statement no. 2 alone is sufficient to answer the question. </li></ul>
9. 9. Is the number K divisible by 6? Statement 1: K is divisible by 3 Statement 2: K is an even number <ul><li>Both the statement together can give us the answer. </li></ul>
10. 10. Which of the sides, PQ, PR and QR is greatest in triangle PQR? Statement l:PQ<QR+PR Statement 2: angle QPR (angleP) = 100degree <ul><li>Statement No. 2 is sufficient to answer. </li></ul>
11. 11. p. q, r, s, t, u and v are seven consecutive positive integers. Is ‘t’ an odd integer? Statement 1: The product of q and u is an even integer Statement 2: The product of p and u is an even integer <ul><li>Statement no. 1 alone is sufficient to answer the question. Let us take q as 2 and u as 6, we get even number. Thus t is odd. </li></ul>
12. 12. Afterschoolian Pradeep has 9 friends – 4 boys and 5 girls. In how many ways can he invite them, with the condition that exactly 3 girls must be there? <ul><li>Pradeep has the option of inviting 0 to 4 boys and 3 girls. </li></ul><ul><li>4c0*5c3 = 10 4c1*5c3 = 40, 4c2 *5c3=60 </li></ul><ul><li>4c3*5c3 = 40,4c4*5c3 = 10 add all= 160 </li></ul>
13. 13. By what percent is A less than B? Statement 1: B = 10 Statement 2: B is greater than A by 25% <ul><li>Statement no. 2 alone is sufficient to answer. The answer is 20% (25/125 *100) </li></ul>
14. 14. What is the percentage increase in the area of the rectangle? Statement 1: The length and breadth is increased by 10% and 12% respectively Statement 2: The perimeter of the rectangle is 64 cm <ul><li>Statement no. 1 alone is sufficient </li></ul>
15. 15. In terms of growth rate, which two cars are at top & bottom and with what rates?
16. 16. Solution: growth rates <ul><li>Model </li></ul><ul><li>Esteem 3.9% </li></ul><ul><li>Santro 3.17% </li></ul><ul><li>Swift 4.64% </li></ul><ul><li>Zen .12% </li></ul><ul><li>Fiat Palio 13% </li></ul><ul><li>Ford Ikon -.7% </li></ul><ul><li>Hyundai Accent 1.7% </li></ul><ul><li>Thus Fiat Palio is top with 13% and Ford Ikon is at the bottom with -.7% growth rate. </li></ul>
17. 17. What is the cost of polishing the floor? Statement 1: Floor is 3 m wide and 15 m long Statement 2: Cost of polishing the floor is Rs. 9 per 5 square metres <ul><li>Both the statements are required. The cost will be (3*15) *9/5 = 81 Rupees. </li></ul>
18. 18. Is circle M larger than circle N? Statement 1: The diameter of circle M is larger than the radius of circle N ; Statement 2: The circumference of circle M is twice than that of circle N <ul><li>Only statement no. 2 is sufficient to answer the question. </li></ul>
19. 19. Is q<r? Statement 1: q^2 > r^2 Statement 2: q^3 >r^3 <ul><li>Only 2 nd statement is sufficient to answer the question. </li></ul>
20. 20. This table shows goals made by BM in 4 shootouts. How has he made most goals and by what % more then the 2 nd ?
21. 21. Solution . . <ul><li>The highest number of shots were made by 3 point shots = total 60. </li></ul><ul><li>The second most useful way was penalty shots: 58 shots. </li></ul><ul><li>Thus it was 2/58*100 or 3.8% more than the second best option. </li></ul>
22. 22. Which will be the highest : mean, mode and median, if it is given the in a data range from 1 to 50 the frequency curve’s top is in the left side from the middle? <ul><li>Mean. </li></ul>
23. 23. Is (a*c) divisible by (b*d)? Statement 1: a is divisible by b Statement 2: c is divisible by d <ul><li>Both the statement together are required. </li></ul>
24. 24. There are 2 circles :The area of circle A is 10% less than B. What is radius of circle A? Statement 1: The perimeter of circle B is 20 pi m Statement 2: The circumference of circle B is more than its diameter <ul><li>The statement no. 1 alone is sufficient to answer the question. </li></ul>
25. 25. What is the value of (a^2 — b^2)? Statement 1: a — b = a + 2 Statement 2: a—b= 1/(a+b) <ul><li>Statement No. 2 alone is sufficient to answer the question. From the second statement we know about (a-b) and (a+b), thus a^2 – b^2 can be calculated. </li></ul>
26. 26. Is the integer ‘a’ an even number, given that ‘b’ is an integer? Statement 1: (a/b) is odd Statement 2: (a x b) is odd <ul><li>Statement no. 2 alone is sufficient to answer. </li></ul>
27. 27. pq not equal to 0. Is q positive? Statement 1: p> q Statement 2: p + q = 0 <ul><li>Both the statement together are required to answer the question. </li></ul>
28. 28. 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>
29. 29. 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>
30. 30. 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>
31. 31. 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>
32. 32. 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>
33. 33. 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>
34. 34. 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>
35. 35. 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>
36. 36. 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>
37. 37. 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>
38. 38. 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>
39. 39. 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>
40. 40. www.afterschoool.tk social entrepreneurship for better society