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www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
QUANTITATIVE APTITUDE AND MATHEMATICS
Dr. T.K. Jain.
AFTERSCHO☺OLCentre for social entrepreneurship
Bikaner M: 9414430763
www.afterschool.tk, www.afterschoool.tk
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
(.027)^1/3 + (.0625)^1/4 is equal to(1) 0.8
(2) 0.085(3) 0.55(4) 0.28
• .3+ .5 = .8 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
How many three digit numbers are divisible by 3 and 4?
(1)62(2) 75(3)84
(4) 102
• Let us find LCM of 3 and 4 and use this for dividing the 3 digit numbers.
• 1000/12 = 83 100/12 =8
• 83-8 = 75 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A reduction of 20% in the price of oranges enables one to purchase 5
more oranges for Rs. 20. The reduced price of one orange in
paise is(1)60 (2)80
(3) 100(4) 150
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution
let us try from options.
Let us assume that the old price is 100 paise. We could get 20 oranges earlier.
Now let us assume the price is 80 paise. We get get 25 oranges. Thus the difference of 5 oranges is there. Thus current price is 80 paise. Answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A table is sold for Rs. 420. If the gain is 5%, the cost of table is
(1) Rs.441(2) Rs. 415(3) Rs. 400(4) Rs, 339
• 420 *100/105 = 400 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If the sum of the first ‘2n’ natural numbers is 100 more than the sum of the first n natural number. Then find the sum of the first ‘3n’ natural
number.(1) 231 (2) 300(3) 378 (4) 465(5)365 (6) 478
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution . .
• 2n – n = 100
• N = 100
• Thus 3n = 300 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
In a certain gathering, every manager gave his visiting card to every other manager present at the gathering. Had there been
one more manager present, 30 more visiting cards could have changed hand. Find the total number of visiting cards that would have changed hand, had there been one
less manager at thegathering?
(1) 164 (2) 182 (3) 144(4) 172 (5) 186 (6) 194
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution…
• Since 30 cards will change hands if one more person joins then the number of persons was 15 when the new member joined (15+15 = 30)
• Let us calculate for 14 members.
• (13*14) =182 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
circle is divided into 12 equal parts, the points A1 A2 A3A 4A5 A6 A7 A8 as shown in the figure. Find the
ratio of the measure of anglesA1PA4 to A3QA4
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
SOLUTION . .
• On P angle, we have equal number of dots on both sides therefore it is 90 degree angle.
• At Q angle, we find similar distance from the perimeter, however, the number of dots are 5:6. thus this will get reduced to this extent. Thus it will be 90*5/6 = 75 thus taking their ratio, we get 6:5 as answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Six numbers a,b,c, d, e,f are such that = aXb=1,bxc ½, cxd=6, dxe=2, exf= ½. What is the value of (axd :
bxe: cxf)?72 : 1: 9
8:9:924:2:36:1:9
4 : 3 : 2712 : 2 : 3
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution . ..
• Let us divide AB by BC and multiply it by CD, we get AD = 12
• Let us divide BC by CD and multiply by DE, we get BE it is = 1/6
• Similarly divide CD by DE and multiply by EF we get CF, which is 1.5 answer
• The ratio is 72: 1: 9
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A combo pack having a tooth brush and tooth paste cost Rs. 52. If true
cost of the tooth brush drops by 20% and the cost of the toothpaste increases by 50% the pack would
cost Rs. 50. Find the price of toothpaste?
(1) Rs.8( 2)Rs. 9 (3) Rs. 10(4) Rs. 12 (5) Rs. 15 (6) Rs. 16
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution . .
• 12 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Which of the following will have terminating decimal
representation?
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution . ..
• 3/24 = .125 in all other cases it is non-terminating.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
In the fig, trangle ABC is right L at B. Further, G anf F are Points on AC, D and E are points on AB and BC respectively, such that DEFG is a square. If DG = 6 CM the minimum pos sible
length of AC.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
SOLUTION . . .
• It will be 6 * 3 = 18 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The distance between two towns Aurangabad and Patna is 80 Km. A bus left
Aurangabad and travelled at a constant speed towards Patna. Thirty minutes later, Ashish left Aurangabad in his can towards
Patna. He overtook the bus in thirty minutes and continued on his way to Patna. Without stopping at Patna, he
turned back and immediately encountered the bus 80 minutes after he had left Aurangabad. the speed of bus is.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution. . .
• The person has taken 80 minutes, plus we had 30 minutes. The bus is about to enter Patna. Thus it takes 110 minues to reach 80 KM. The speed of the bus is 80/1.9 = 44 KM per hour.
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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
www.afterschoool.tk 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
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)
www.afterschoool.tk 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
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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk social entrepreneurship for better
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