8 July Quantitative Aptitude

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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The cost of paint is Rs. 60 per kg. A Kilogram of paint covers 20 square feet. How much will it cost to paint outseide the cube having 10 feet each side?  Surface

area of cube = 6 * side * side  Total surface area = 6*10*10 = 600  The rate = cost / area = 60/20 = 3 per square feet.  Thus total cost is 600 * 3 = 1800 answer. www.afterschoool.tk

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Exchange rate of Dollar v/s rupee in order at the rate of 5% per month. If the current rate is 40 per dollar, what is the rate at the end of 2 month.  The

exchange rate increases @ 5%.  40 * 1.05*1.05 =44.1 per dollar answer.

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The sum of squares of 2 numbers is 1700 and difference of their squares is 348. what are the numbers?  X^2

+y^2 = 1700  X^2 – y^2 = 348  2x^2 = 2048 or x^2 = 1024 or X = 32.  1024 – y^2 = 348  -y^2 = -676 or Y = 26  The numbers are 32 and 26 answer.

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Inequality a^2 +5 < 5a +14 can be satisfied if :  Options:1)

a< 6 or = -1 2) a>6 & a = -1  C) a<6 & a<1 and d)a=6 and a = - 2.  Solution: try from options:  Try with 1st option: 25 +5 < 5*5+14 take any values this is true. Similarly try for -1 : it is also satisfied – thus answer is 1).

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How many days will 8 men take to complete a job, which 12 men take 24 days to complete?  Total

work = 12*24 = 288  Days required by 8 persons is : 288/8 =  =36 answer.

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You have lost your bus. The bus is 200 meters ahead of you and moving at the speed of 5 Km per hour. When will you catch the bus with a speed of 14 Km per hour?  Distance

to travel = 200  Relative speed = 14-5 = 9.  Speed in meters per second: 9 * 5/18 or 2.5 meters per second.  Thus time required is 200 / 2.5 = 80 seconds answer. www.afterschoool.tk

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What is the distance of straight line Y = X, from its origin? Y

= X means both are passing from zero also ( when X = 0, y is also 0) thus both are passing from origin. Thus this like is passing through origin and the distance is ZERO. Answer.

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Equation is 6x^2 -15x -8. what is its discriminant?  Discriminant

= b^2 -4ac  B= -15, c = -8 and a =6  Thus : 225 – (4*6*(-8))  =225+192  = 417 (answer).

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What is the maximum value of Y=5x-x^2-3, if x is real?  The

formulae for maximum value is :  (4ac – b^2 ) / 4a  Here b = 5, a = -1 and c = -3.  Thus answer is :  (4*(-1) (-3) – 25) / -4  =-13 / -4 or 13/4 answer.

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How many five digit numbers having at least one of their digits repeated can be formed?  Let

us count all 5 digit numbers (with or without repeatition) = 9*10*10*10*10  =90000  Let us count all 5 digit numbers without repeatition: 9*9*8*7*6 =27216  Thus our answer is 90000-27216  = 62784if www.afterschoool.tk

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10 afterschoolians are playing a game. Bitthal wants play before Hulash and Hulash wants to play before Gautam. In how many ways can they play?  10

can play in 10! Ways.  Bitthal, Hulash and Gautam can play in 3! = 6.  Thus total ways are 10! / 6. answer.

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From 20 toffees, 15 namkeens and 10 icecreams, how many combinations can a person form? A

person has 21 choices for toffee (one for not taking any tofee), 16 choices for namkeens and 11 choices for icecreams.  Thus his total choices are :  21*16*11 =3696. Supposing he has to take at least one out of these.  Thus total choices are 3696-1 = 3695 answer. www.afterschoool.tk

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Find the least number, which when divided by 14,15,16 leaves remainder 1,2,3, respectively?   

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Let us find LCM first: LCM of 14,15,16 is: 1680. When we divide by 14, remainder should be 1, we know that 14-1 = 13, similarly for 15 also, we have to either reduct by 13 or add 2. (thus we should subtract 13 from the number). Similar condition apply to 14 & 15. Thus 1680-13 = 1667 answer.

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ABOUT AFTERSCHOOOL 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       

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 material

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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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