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29 August Quantitative Aptitude

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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

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Quantitative Aptitude
Dr. T.K. Jain.

AFTERSCHO☺OL
Centre for social entrepreneurship Bikaner M: 9414430763 tkjainbkn@yahoo.co.in www.afterschoool.tk AFTERSCHO☺OL's MATERIAL www.afterschool.tk FOR PGPSE PARTICIPANTS

3 positive numbers are in the ratio of 3:2:1, sum of their squares is 896. What is the least among three?
• Let us assume the three numbers to be 3x, 2x, 1x. • Let us square them. • We get: • 9X^2+4X^2+1X^2 = 896. • 14X^2 = 896 • X^2 = 64 or X = 8 • The numbers are : 24,16 and 8 answer.
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• 1/20 – 1/30 • LCM of 20 and 30 is 60. So take 60 as denominator • (3-2)/60 = 1/60 • Reverse it . • Thus A alone can do it in 60 days. Answer.
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A and B do some work in 20 days, B alone can do this in 30 days. In how many days can A alone to it?

Area of square field is 24200 sq.m. How long will a person take to cross the field diagonallly at the rate of 6.6 KM per hour?
• • • • • • We have to find diagonal of this square. Diagonal is = ½*D*D =24200 D^2 = 48400 D = 220 meters or .220 KM. Divide it by 6.6, we get .033 .033 *3600 = 120 seconds or 2 minutes.
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

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The area of a square is 324. if circle has a diameter which is of the same length of the side of square, what is the area of circle?

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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Solution . . .
• Square root of square = 324^1/2 = 18 • Thus radius is 9 • Area of circle is : pi * 9^2 =22/7*81 = 254.57 answer.

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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

If 3^a=729 and 2^b=512, then what’s the value of 5a+3b/6a-2b?
• A=6 • B=9 • (30+27)/(36-18) =3.167 answer.

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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Length of hypotenuse of a triangle is 22, one angle is 30 degree. What is the length of the side opposite to the angle?
• • • • • • Sin = Perpendicular / Hypoteus nuse Sin 30 degree = ½ Let us assume that Perpendicular is X Thus X /22 = ½ Thus X = 22 / 2 or 11. Thus Perpendicular is 11. answer.
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

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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.

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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
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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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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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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

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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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
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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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AFTERSCHO☺OL's 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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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.

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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.

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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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www.afterschoool.tk social entrepreneurship for better society

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