Quantitative Aptitude For Business Management 16 October Ii


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Quantitative Aptitude For Business Management 16 October Ii

  2. 2. BUSINESS MATHEMATICS Dr. T.K. Jain. AFTERSCHOOOL Centre for social entrepreneurship Bikaner M: 9414430763 [email_address] www.afterschool.tk www.afterschoool.tk
  3. 3. IN A G.P., THE PRODUCT OF THE FIRST THREE TERMS IS 27/8, WHAT IS THE MIDDLE TERM? <ul><li>Let us assume that the three terms are : </li></ul><ul><li>A/r, A, Ar </li></ul><ul><li>Multiply these, r will get cancelled, we get A^3 </li></ul><ul><li>A^3 =27/8 </li></ul><ul><li>A = 3/2 answer. </li></ul>
  4. 4. What is the sum of 8 terms in the series .1, .11, .111. . .? <ul><li>Let us multiply all these by 9 </li></ul><ul><li>We get 1/9[ .9,.99, .999 . . . ] </li></ul><ul><li>We can write it as: </li></ul><ul><li>1/9[(1-1/10), (1-1/100), (1-1/1000) . . . ] </li></ul><ul><li>We can write the sum as: </li></ul><ul><li>1/9 [ 1*8 – (1/10 +1/100, 1/1000…) </li></ul><ul><li>Sum of GP = A(1- R^n) / 1-R^n </li></ul><ul><li>1/9[ 8 – {1/10(1-.1^8)/1-.1}] </li></ul><ul><li>1/9 [8 - .1111] </li></ul><ul><li>=1/9 * 7.88889 </li></ul><ul><li>=.8765 answer. </li></ul>
  5. 5. The sum of the first 2 terms of GP is 5/3 and sum to infinity of the series is 3. the ratio is ? <ul><li>First term = A, second term = AR </li></ul><ul><li>Sum to infinity = A / (1-r) </li></ul><ul><li>A+AR = 5/3 or A(1+R) = 5/3 </li></ul><ul><li>A = 5/[3*(1+r)] </li></ul><ul><li>A/(1-R) = 3; put the value of A. </li></ul><ul><li>5/3(1+r) / (1-R) =3 </li></ul><ul><li>5/(3+3R) = 3-3R; multiply by (3+3r) to both sides. </li></ul><ul><li>5= 9 -9r^2 </li></ul><ul><li>R^2 = 4/9 or R = 2/3 or -2/3 answer. </li></ul>
  6. 6. N. Raju gets a salary of Rs. 1 Lakh per month now with annual increments of Rs. 1000 p.a.. How much money will he get in 20 years? <ul><li>Apply rules of AP. </li></ul><ul><li>His salary in last month will be: </li></ul><ul><li>1lakh +(20-1)1000 </li></ul><ul><li>=119000. </li></ul><ul><li>Sum = n/2(first +last) </li></ul><ul><li>12 * (20/2(1lakh+119000) </li></ul><ul><li>=12* 10* 219000 = 26280000 ans. </li></ul>
  7. 7. If P,Q,R are in AP and X,Y,Z are in GP, what will we get for X^(q-r)* Y^(r-P)*z ^ (p-q)? <ul><li>Let us assume that P,Q,R are 1,2,3 </li></ul><ul><li>Let us assume that X,Y,Z are 1,2,4 </li></ul><ul><li>1^(-1) * 2^(2)*4^(-1) </li></ul><ul><li>=1*4* ¼ </li></ul><ul><li>=1 answer. (you may try with any such number, the answer will always be 1). </li></ul>
  8. 8. What is the sum of all numbers between 200 and 300? <ul><li>This is AP. </li></ul><ul><li>Formulae : </li></ul><ul><li>n/2 (first term +last term) </li></ul><ul><li>=99/2(201+299) </li></ul><ul><li>=99/2* 500 </li></ul><ul><li>=99*250 </li></ul><ul><li>=24750 answer. </li></ul>
  9. 9. Find GP when 4 th term is 8 and 8 th term is 128/625? <ul><li>AR^3 = 8 (formulae = AR ^(n-1)) </li></ul><ul><li>AR^7 = 128/625 </li></ul><ul><li>Let us divide second by first. </li></ul><ul><li>We get R^4 = 128 / (625*8) </li></ul><ul><li>R^4 = 16/625 </li></ul><ul><li>R = 2/5 ; AR^3 = 8 or A*8/125 = 8 </li></ul><ul><li>A =125, IInd term = 125*2/5 = 50, IIIrd = 50*2/5 = 20 . So on. </li></ul><ul><li>GP is 125,50, 20, 8,16/5 . . . Answer. </li></ul>
  10. 10. How many terms should we add from series 1,2,4,8. . . So that we have 8191? <ul><li>Sum of GP = A(R^n-1) / (r-1) </li></ul><ul><li>=1(2^n – 1) / (2-1)= 8191 </li></ul><ul><li>=2^n-1 = 8191 </li></ul><ul><li>2^n =8192 </li></ul><ul><li>N=13 answer. </li></ul>
  11. 11. What is the sum of all rational numbers between 500 and 1000,which are divisible by 13? <ul><li>The first number divisible by 13 in this series is 507 (13*39) and the last number divisible by 13 is 988 (13*76) </li></ul><ul><li>Sum = n/2 (first term+last term) </li></ul><ul><li>N = Number of terms (76 – 39 +1)=38 </li></ul><ul><li>=38/2(507+988) </li></ul><ul><li>=19 * 1495 </li></ul><ul><li>=28405 </li></ul>
  12. 12. ABOUT AFTERSCHOOOL <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>
  13. 13. 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>
  14. 14. 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>
  15. 15. About AFTERSCHOOOL 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>
  16. 16. Workshops from AFTERSCHOOOL <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>
  17. 17. 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>
  18. 18. 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>Indepth knowledge and expertise </li></ul><ul><li>Professional approac: World class approach </li></ul><ul><li>Strong intellectual and business capabilities </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>
  19. 19. 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>
  20. 20. 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>
  21. 21. Branches <ul><li>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. </li></ul>
  22. 22. 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>
  23. 23. Basic values at afterschoool <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>
  24. 24. www.afterschoool.tk social entrepreneurship for better society