8 July Quantitative Aptitude Ii

Quantitative aptitude Afterschoool – developing change makers CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME – OPEN FOR ALL FREE FOR ALL

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Quantitative aptitude Dr. T.K. Jain. AFTERSCHOOOL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk www.afterschoool.tk

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10 persons spent Rs. 35 each. 11th spent Rs. 20 more than average of all. How much money was spent?  Money

spent by 10 = 35*10 =350. Let us assume their average to be X. X = [350 +(X+20)] / 11 11X = 350+X+20 10X = 370 or X = 37. Thus money spent by 11th is 57. thus total money spent is 350+57 = 407 answer. www.afterschoool.tk

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What is the least number to be multiplied to 6125 to make it cube is ?  Let

us find factors of 6125:  = 5*5*5*7*7.  Thus we have three 5 and two 7. In order to make it cube, we shall multiply it by 7. answer.

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Average of 7 numbers is 45. if average of first 5 is 30 and that of last 3 is 60. find the forth number, if it is 17 more than 5th number.  Total

of first 5= 150  Total of last 3 = 180 thus their total is 330 Fifth number has been counted twice.  Total of 7 numbers is : 315.  5th number is : 330-315 =1 5.  Thus fourth number is 15+17 = 32 answer. www.afterschoool.tk

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6 years ago the average of a family of 6 members was 21 years. A baby was born in between and the average age of family increased by 3 years. What is the age of baby?  Total

age of family 6 years back = 6*21 = 126. Add 6*6 in it = 126+36 = 162  However, their total age is : 7*24=168.  Thus the age of baby is : 168-162 = 6 years.

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What is the largest number which will divide 39,73 and 90 and leave same remainder in every case?  To

solve this question, find the difference between the numbers:  The difference is 73-39 = 34  90-73 = 17.  Find HCF of 17 &34 = 17  Answer = 17.

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What remainder will you get when you divide 2^63 by 5?   

Unit digits in power of 2 are as under: 2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 16, 2^5 = 32, 2^6=64, 2^7 = 128 or 8 2,4,8,6,2,4,8,6, and so on when the power is 1,2,3,4,5, and so on. The power repeats after every 4 digits. Divide 63 by 4, we get 3 as remainder. At 3rd level we have remainder 8. Thus when power will be 63, unit digit will be 8. thus remainer will be 8-5 = 3 answer.

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What remainder will you get when you divide 2^13 by 5?  As

per the last solution, we shall find the order. 13 divided by 4 gives remainder 1 which gives us unit value as 2. thus remainder will be 2 answer.

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A^3B =220 and BC^2 = 880. what is C? (ABC are positive numbers)  220

is not divisible by 2^3 or 3^3 or 4^3 or 5^3. thus A^3 = 1. or A = 1.  Thus B = 220.  Thus C^2 = 4.  Thus C = 2 answer.

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2X+9Y is divisible by 13. (X , Y are positive numbers). Which of the following is divisible by 13?  

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4X +13Y, 5X+7Y+4, 3X-7Y+2, 4X+7Y+9 Solution: when we assume value of X = 2, and Y = 1, the equation is divisible by 13. similarly, when we take value of X = 4 and Y = 2, the equation is divisible by 13. 4X+7Y +9 is divisible by 13 with the values X = 4 and Y =2. (thus this is answer).

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There is one number which is formed by writing one digit 6 times. Such number is always divisible by which prime numbers?  3,

11 , 13,  For 11 we take alternate digits – thus all such numbers will be divisible by 11.  (for finding divisibility by 3, we take numbers in groups of 3 digits) thus the number will always be divisible by 13. It may be any number as : 111111, 222222, 333333 etc. www.afterschoool.tk

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Find HCF of 2/3, 8/9 & 16/81?  Find

HCF of 2,8 and 16. = 2  Find LCM of 3,9 and 81. = 81  The answer: 2/81 answer.

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Banker’s gain on a sum due 5 years hence at 10% per annum is 450. what is banker’s discount and amount of bill?        

Banker’s discount – true discount = banker’s gain. Let us assume amount is Rs. 1000. Banker’s discount = 1000*10*5/100 = 500 True discount = amt – present value Present value = (1000*100) / (100+10*5)= 100000/150 = 666. thus true discount = 333. Banker’s gain is 167. 1000/167*450 = 2700 Banker’s discount = 2700*10*5/100 = 1350.

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ABO UT A FTERSCH OOO L Afterschoool conducts three year integrated PGPSE (after class 12th 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.

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Why such a programme? 

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To promote people to take up entrepreneurship and help develop the society To enable people to take up franchising and other such options to start a business / social development project To enable people to take up social development as their mission To enable people to promote spirituality and positive thinking in the world

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Who are our supporters?  Afterschoolians,

our past beneficiaries, entrepreneurs and social entrepreneurs are supporting us.  You can also support us – not necessarily by money – but by being promotor of our concept and our ideas.

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About AFTERSCHOOOL PGPSE – the best programme for developing great entrepreneurs     

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Most flexible, adaptive but rigorous programme Available in distance learning mode Case study focused- latest cases Industry oriented practical curriculum Designed to make you entrepreneurs – not just an employee Option to take up part time job – so earn while you learn The only absolutely free course on internet

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Workshops from AFTERSCHOOOL         

IIF, Delhi CIPS, Jaipur ICSI Hyderabad Branch Gyan Vihar, Jaipur Apex Institute of Management, Jaipur Aravali Institute of Management, Jodhpur Xavier Institute of Management, Bhubaneshwar Pacific Institute, Udaipur Engineering College, Hyderabad

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Flexible Specialisations:          

Spiritualising business and society Rural development and transformation HRD and Education, Social Development NGO and voluntary work Investment analysis,microfinance and inclusion Retail sector, BPO, KPO Accounting & Information system (with CA / CS /CMA) Hospital management and Health care Hospitality sector and culture and heritage Other sectors of high growth, high technology and social relevance

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Salient features: The only programme of its kind (in the whole world)  No publicity and low profile course  For those who want to achieve success in life – not just a degree  Indepth knowledge and expertise  Professional approac: World class approach  Strong intellectual and business capabilities  Flexible – you may stay for a month and continue the rest of the education by distance mode. / you may attend weekend classes  Scholarships for those from poor economic background  Latest and constantly changing curriculum – keeping pace with the time  Placement for those who are interested  Admissions open throughout the year  Latest and most advanced technologies, books and study www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS material 

Components              

Pedagogy curriculum and approach based on IIM Ahmedabad and ISB Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad) Meditation, spiritualisation, and self development Essential softwares for business Business plan, Research projects Participation in conferences / seminars Workshops on leadership, team building etc. Written submissions of research projects/articles / papers Interview of entrepreneurs, writing biographies of entrepreneurs Editing of journals / newsletters Consultancy / research projects Assignments, communication skill workshops Participation in conferences and seminars Group discussions, mock interviews, self development diaryng Mind Power Training & writing workshop (by Dr. T.K.Jain)

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Pedagogy          

Case analysis, Articles from Harvard Business Review Quiz, seminars, workshops, games, Visits to entrepreneurs and industrial visits Presentations, Latest audio-visuals Group discussions and group projects Periodic self assessment Mentoring and counselling Study exchange programme (with institutions out of India) Rural development / Social welfare projects

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Branches  AFTERSCHOOOL

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.

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Case Studies  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.

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Basic values at afterschoool        

Share to learn more Interact to develop yourself Fear is your worst enemy Make mistakes to learn Study & discuss in a group Criticism is the healthy route to mutual support and help Ask fundamental questions : why, when, how & where? Embrace change – and compete with yourself only

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www.afterschoool.tk social entrepreneurship for better society

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