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QUANTITATIVE APTITUDE 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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
QUANTITATIVE APTITUDEDr. T.K. Jain.
AFTERSCHO☺OLCentre for social entrepreneurship
Bikaner M: [email protected]
www.afterschool.tk, www.afterschoool.tk
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
In how many ways can we form a necklace from 9 different but
beautiful beads?
• ½ (n-1)!• =1/2(8!)• =1/2* 40320• =20160 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
I pick up a ball from a box. The box has balls numbered from 1 to 90.
What is the probability that the ball has a number in multiple of either 3
or 4 or 5? • Multiples of 3 are : 30, • Multiples of 4 are : 90/4 = 22, however, it contains
those numbers, which are multiples of 3 also. Remove them: 90/12 = 7 so 22-7 = 15. Now 90/5 = 18. However, it contains multiple of 3& 4 also. 90/15 =6 and 90/20 = 4 so 18 – 10 = 8,
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution . . .
• As we can see we have :• 30 + 15 + 8• However, 3*4*5 = 60, which has been
deducted twice from multiples of 5, so add this again.
• 30+15+8+1 = 54 • Thus 54/90 is the answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
How many bullets can be made out of a cylinder 14 CM high and 6 CM
radius? Each spherical bullet is having radius of 1.5 CM diameter.
• = pi*r^2*h / 4/3 *pi*r^3• =(22/7*6*6*14) / (22/7*4/3*.75*.75*.75)• =(6*6*14) / (4/3*.75*.75*.75)• =896 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The three sides of a triangle are extended and thus we have 3
external angles. What is the total of these external angles?
• 360 answer
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A,B,C,D, E are non-coplanar points. How many planes can be drawn with the help of any of 3
points from these?
• 5C3 • = 5!/ (2!*3!)• =10 answer
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the chance that an ordinary year selected at random has either
53 Sundays or 53 Mondays?
• There are 52 weeks of each day + 1 extra day. This extra day can be Sunday or Monday or any of these days.
• Thus for Sunday: 1/7 and for Monday 1/7• Add them = 2/7 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
There are 2 chords AB and CD on a circle. Both are 2 CM away from Centre. AB is 5 CM long. Radius is 3 CM. What is the length of CD?
• CD is also 5. answer. (two equidistant chord will always be equal).
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
There is a tangent AB joining two circles. The tangent has a mid point, through with a line DC
moves, which is also tangent to these two circles. What is the length of AB, if DC is 5 CM?
• 10 answer. (two tangents are equal, thus mid point of AB is 5, the total length is 10).
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
ABOUT AFTERSCHO☺OL
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.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
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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
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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
www.afterschoool.tk AFTERSCHO☺OL's 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• 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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
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