6 August Quantitative Aptitude

Quantitative aptitude AFTERSCHOOOL – DEVELOPING CHANGE MAKERS CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME – World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship 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

AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

PROBABILITY THAT A & B (BOTH) WILL HAPPEN IS 1/6. PROBABILITY THAT NEITHER WILL HAPPEN IS 1/3. WHAT MAY BE THE PROBABILITY OF HAPPENING OF A? P

(a) * P (b) = 1/6 (we have to multiply, if we want both the things to happen).  P(1-A) * P (1-B) = 1/3.  Let us take the value of A as ½, we get ½*1/3 = 1/6, we are also able to get ½ *2/3 =1/3.  Answer P(A) may be either ½ or 1/3 answer. www.afterschoool.tk

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Suppose I toss a coin 7 times, what is the probability that I shall get 4 or more consecutive heads?  Let

us assume that I get all 7 heads.  The probability is (½)^7 = 1/128  Let us assume that I get 6 consecutive heads.  We have (1/2)^6*1/2. but Tail may be in the beginning or in the end. So I have 2 such possibilities, thus I have 2/128 probability. www.afterschoool.tk

AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

Answer continued . . . . . 

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Let us take the case when I have 5 continuous heads. The probability is as under : ½ *1/2 *1/2 *1/2 *1/2 (for 5 heads) *1/2 for tail. We have to also multiply probability of contiguous tail with this . We get 1/64+1/64+1/128 as the answer. Let us take the case, when I have 4 consecutive heads. I get 1/32+1/32+1/64+1/64 as answer. FINAL ANSWER: Now let us add all these (4,5,6,7 )probabilities. = 5/32 answer.

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If the letters of the word REGULATIONS are arranged randomly, what is the probability that there are exactly 4 letters between R & E? 

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P = permutation. When order is important, we use Permutation (for example: where 12 and 21 is different) There are 11 letters in regulations, out of which I have to select only 2 – R & E. Thus 11 P 2 ,= 11! / (11-2)! Or 11! / 9! I get 11*10 = 110 methods of putting R & E. I have to put R & E at a distance of 4 places.

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Answer . . . . I

can put this in the following way:  I can put R as first and E at 6 point.  I can put R as 2nd and E at 7th point  I can put R as 3rd and E at 8th point  I can put R as 4th and E at 9th point  I can put R as 5th and E at 10th point  I can put R as 6th and E at 11th points. www.afterschoool.tk

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Answer contines  There

are 6 such possibilities.  I can also put E in place of R and R in place of E. thus I have another 6 possibilities.  Answer = 12 / 110  = 6/55 answer.

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Probability rules. . . .  When

two things, happen together, we have to multiply their probability.  When any one of them or both of them may happen, we add them.  For not happening any event the probability is 1-P(a)

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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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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

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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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

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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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

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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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

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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AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS