QUANTITATIVE APTITUDE AND 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
QUANTITATIVE APTITUDE AND MATHEMATICS Dr. T.K. Jain. AFTERSCHO☺OL Centre for social entrepreneurship Bikaner  M: 9414430763 [email_address] www.afterschool.tk ,  www.afterschoool.tk
The Area of a right angle triangle is 1/2X^2 +2x +3/2, what is its height, if it is given that height is more than base?  We know that the area = ½ * base * height Let us look at the area:  ½ X^2 +2X+3/2 or ½ (X^2 +4X+3) Or ½ (X^2 +3X +X +3)  =1/2 (X(X+3) +1(X+3))  =1/2 ((X+3)(X+1)) thus base and heights are (x+1) and (X+3) respectively. Ans.
If (X+1) is HCF of (AX^2+bX +C) and (BX^2 +AX+C), then what is the value of C?  Both the numbers are divisible by (X+1) because it is HCF (Heightest Common Factor).  X = -1. thus if we put the value of X as -1, it will equate the equation to Zero AX^2+bX +C = 0 (if X = -1) A – B +C =0  BX^2 +AX+C or B – A + C = 0 OR C=0
IF (X-1) IS HCF OF (X^2-1) AND (PX^2-Q(X+1)) THEN WHAT IS P? X = 1, so if we put the value of X as 1, it will make the equation equal to zero.  (PX^2-Q(X+1)) = 0 P – Q- Q = 0 P – 2Q = 0 P = 2Q answer.
If 6/X + 3/Y = 7 and 3/X +9/Y =11, then what is the value of X? Let us assume that 1/X = W and 1/Y = U 6W+3U = 7 3W +9U= 11 (Multiply 2 nd  equation by 2) 6W +18 U = 22 By comparing the first and 2 nd  equation, we get : 15U = 15 or U = 1 or Y=1; putting the value in first equation, we get:  6W +3 = 7 or 6W = 4 or W  = 2/3; X = 3/2
3X+5Y = 0 and KX+10Y = 0, what is the value of K, if there are more than 1 solutions?  Take 3 from first equation and K from 2 nd  equation and 5 from first equation and 10 from 2 nd  equation.  3/K = 5/10 Solving this, we get: 5K = 30  OR :  K = 6 answer.
2X+3y – 5 = 0 ;  4X+KY-10 =0 AND THERE ARE INFINITE NUMBER OF SOLUTIONS, THEN WHAT IS K?  2/4 = 3/k = -5/-10 K = 6
2X+3y – 5 = 0 ;  4X+KY-Z =0 AND THERE NO SOLUTION, THEN WHAT IS K & Z? A1/A2 = B1/B2 IS NOT EQUAL TO C1/C2 =2/4  = 3/K is not equal to -5/Z Thus K = 6, but Z should not be equal to 10 , Z can take any other value. Ans.
2X+3y – 5 = 0 ;  4X+KY-10 =0 AND THERE IS A UNIQUE SOLUTION, THEN WHAT IS K? A1/A2 SHOULD NOT BE EQUAL TO  B1/B2 THUS 2/4 SHOULD NOT BE EQUAL TO 3/K THUS K CAN TAKE ANY OTHER VALUE OTHER THAN 6 ANSWER
WHAT IS THE VALUE OF (8)^5/3 ?  LET US SOLVE IT AS : ((8)^1/3)^5 = ((2*2*2)^1/3)^5 =2^5 =2*2*2*2*2 = 32 ANSWER.
WHAT WILL YOU GET BY SOLVING 625^-3/4? In order to solve the power of negatives, we will solve it as:  (1/625) ^3/4 Now we will first solve ¼ and then 3 =((1/625) ^1/4)^3 =1/5^3 =1/125 answer.
There are 50 tickets from 1 to 50. One ticket is drawn at random, what is the probability that it is in multiple of 2 or 3?  50/2 = 25 50/3 = 16.66 50/6 = 8.3 Thus add 25+16 – 8 = 33 / 50 answer.
In how many ways 5 persons sit on a round table containing 5 chairs?  (n-1)! =4*3*2*1 =24 answer.
Which is the biggest: (2)^1/2, 3^1/3, 5^1/5 answer? 3^1/3 answer.
A,B,C start with equal capital. A leaves the business after 4 month. B doubles his capital after 6 month. After 12 month, what is the profit sharing ratio among A,B,C for the year?  Let us assume that each had 1 Rupee.  A = 1*4 month B = 1*6 + 2*6 month C = 1*12 month = 4: 18: 12 or  =2:9:6 answer.
ABOUT AFTERSCHO☺OL  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.
Why such a programme? 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
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.
About AFTERSCHO☺OL  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
Workshops from AFTERSCHO☺OL  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
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
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 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
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)
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
Branches 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.
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.
Basic values at AFTERSCHO☺OL  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
www.afterschoool.tk   social entrepreneurship for better society

Management Aptitude Test 18 October

  • 1.
    QUANTITATIVE APTITUDE ANDMATHEMATICS 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.
    QUANTITATIVE APTITUDE ANDMATHEMATICS Dr. T.K. Jain. AFTERSCHO☺OL Centre for social entrepreneurship Bikaner M: 9414430763 [email_address] www.afterschool.tk , www.afterschoool.tk
  • 3.
    The Area ofa right angle triangle is 1/2X^2 +2x +3/2, what is its height, if it is given that height is more than base? We know that the area = ½ * base * height Let us look at the area: ½ X^2 +2X+3/2 or ½ (X^2 +4X+3) Or ½ (X^2 +3X +X +3) =1/2 (X(X+3) +1(X+3)) =1/2 ((X+3)(X+1)) thus base and heights are (x+1) and (X+3) respectively. Ans.
  • 4.
    If (X+1) isHCF of (AX^2+bX +C) and (BX^2 +AX+C), then what is the value of C? Both the numbers are divisible by (X+1) because it is HCF (Heightest Common Factor). X = -1. thus if we put the value of X as -1, it will equate the equation to Zero AX^2+bX +C = 0 (if X = -1) A – B +C =0 BX^2 +AX+C or B – A + C = 0 OR C=0
  • 5.
    IF (X-1) ISHCF OF (X^2-1) AND (PX^2-Q(X+1)) THEN WHAT IS P? X = 1, so if we put the value of X as 1, it will make the equation equal to zero. (PX^2-Q(X+1)) = 0 P – Q- Q = 0 P – 2Q = 0 P = 2Q answer.
  • 6.
    If 6/X +3/Y = 7 and 3/X +9/Y =11, then what is the value of X? Let us assume that 1/X = W and 1/Y = U 6W+3U = 7 3W +9U= 11 (Multiply 2 nd equation by 2) 6W +18 U = 22 By comparing the first and 2 nd equation, we get : 15U = 15 or U = 1 or Y=1; putting the value in first equation, we get: 6W +3 = 7 or 6W = 4 or W = 2/3; X = 3/2
  • 7.
    3X+5Y = 0and KX+10Y = 0, what is the value of K, if there are more than 1 solutions? Take 3 from first equation and K from 2 nd equation and 5 from first equation and 10 from 2 nd equation. 3/K = 5/10 Solving this, we get: 5K = 30 OR : K = 6 answer.
  • 8.
    2X+3y – 5= 0 ; 4X+KY-10 =0 AND THERE ARE INFINITE NUMBER OF SOLUTIONS, THEN WHAT IS K? 2/4 = 3/k = -5/-10 K = 6
  • 9.
    2X+3y – 5= 0 ; 4X+KY-Z =0 AND THERE NO SOLUTION, THEN WHAT IS K & Z? A1/A2 = B1/B2 IS NOT EQUAL TO C1/C2 =2/4 = 3/K is not equal to -5/Z Thus K = 6, but Z should not be equal to 10 , Z can take any other value. Ans.
  • 10.
    2X+3y – 5= 0 ; 4X+KY-10 =0 AND THERE IS A UNIQUE SOLUTION, THEN WHAT IS K? A1/A2 SHOULD NOT BE EQUAL TO B1/B2 THUS 2/4 SHOULD NOT BE EQUAL TO 3/K THUS K CAN TAKE ANY OTHER VALUE OTHER THAN 6 ANSWER
  • 11.
    WHAT IS THEVALUE OF (8)^5/3 ? LET US SOLVE IT AS : ((8)^1/3)^5 = ((2*2*2)^1/3)^5 =2^5 =2*2*2*2*2 = 32 ANSWER.
  • 12.
    WHAT WILL YOUGET BY SOLVING 625^-3/4? In order to solve the power of negatives, we will solve it as: (1/625) ^3/4 Now we will first solve ¼ and then 3 =((1/625) ^1/4)^3 =1/5^3 =1/125 answer.
  • 13.
    There are 50tickets from 1 to 50. One ticket is drawn at random, what is the probability that it is in multiple of 2 or 3? 50/2 = 25 50/3 = 16.66 50/6 = 8.3 Thus add 25+16 – 8 = 33 / 50 answer.
  • 14.
    In how manyways 5 persons sit on a round table containing 5 chairs? (n-1)! =4*3*2*1 =24 answer.
  • 15.
    Which is thebiggest: (2)^1/2, 3^1/3, 5^1/5 answer? 3^1/3 answer.
  • 16.
    A,B,C start withequal capital. A leaves the business after 4 month. B doubles his capital after 6 month. After 12 month, what is the profit sharing ratio among A,B,C for the year? Let us assume that each had 1 Rupee. A = 1*4 month B = 1*6 + 2*6 month C = 1*12 month = 4: 18: 12 or =2:9:6 answer.
  • 17.
    ABOUT AFTERSCHO☺OL 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.
  • 18.
    Why such aprogramme? 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
  • 19.
    Who are oursupporters? 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.
  • 20.
    About AFTERSCHO☺OL 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
  • 21.
    Workshops from AFTERSCHO☺OL 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
  • 22.
    Flexible Specialisations: Spiritualisingbusiness 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
  • 23.
    Salient features: Theonly 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 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
  • 24.
    Components Pedagogycurriculum 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)
  • 25.
    Pedagogy Caseanalysis, 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
  • 26.
    Branches 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.
  • 27.
    Case Studies Wewant 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.
  • 28.
    Basic values atAFTERSCHO☺OL 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
  • 29.
    www.afterschoool.tk social entrepreneurship for better society