29 july quantitative aptitude
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QUANTITATIVE APTITUDE
AFTERSCHOOOL DEVELOPING CHANGEMAKERS
CENTRE FOR SOCIAL ENTREPRENEURSHIP
PGPSE PROGRAMME
World Most Comprehensive programme in socialentrepreneurship & 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
www.afterschool.tk
www.afterschoool.tk
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IN HOW MANY WAYS CAN YOU
SELECT 3 LETTERS FROM
SUCCESS? SUCCESS contains 7 letters. Here we have
CC, SSS thus we have actually 4 lettersonly (as C & S are repeated.
We have a possibility that we take only sss.(1 option). We have a possibility that wetake 2 C and three other digits : 3c3 =1. wehave a possibility that we take 2 C & 2 S.We have 3c2*2c2 = 3
We have a possibility that we take 1 letterfrom all four (any 3) 4c3 = 4. Thus totalpossibilities are 4+3+1+1 = 9 answer.
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In how many ways can you select 10
balls from 21 balls of same colour
and same type?21c10.
21! / (11! * 10!)
=21*20*19*18*17*16*15*14*13*12/10*9*8*7*6*5*4*3*2*1
= 16796 answer.
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How many five digit positive integers
have the product of their digits equal
to 2000? We know that in order to get 2000, we have to find
factors of 2000. factors of 2000 are: 2*5*2*5*2*5*2 Thus the possible numbers can be numbers like :
28555, 25558, 85552, 25855 etc. We know that wehave to have 3 five and 4 two. Thus the possibilitiesare 2,8, 5^3 or 4^2 *5^3. thus with all thesepossibilities, we have to find all permutations. Forfirst digit we have 4 options (2,4,8,5), but next wehave reducing options. Let us solve it differently.
(2,8,5,5,5,): 5! / 3! = 120/6 = 20. (4,4,5,5,5,): 5! / (3! * 2!) = 10 = 20 +10 = 30 answer.
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How many solutions for X & Y can
you find which satisfy the condition
X^2 = 14 + Y^2 ?X ^2 Y^2 = 14 (X+Y) (X-Y) = 14.
X+Y and X-Y may be 7 & 2 or 14 * 1 X+Y= 7
X-Y = 2. putting these together, we get2X = 9 or X = 4.5 (which doesnt fullfillour condition).
Thus we cant find any such solution.
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A car travels at 50 for first half of
journey and reduces the speed by
half subsequently for remaining halfeach time. What is its average speed
in entire journey?
Average speed = total distance / total time Speed = 50, 25, 12.5, 6.25 and so on. Let us assume that total time taken is T. Distance = speed * time. Distance = 50 *T/2 + 25 *T/4 +12.5 *T/8 . So on. Thus we have an infinite series. Total of the series = A / 1-r = 50T/2 (3/4) =33.3 T
Thus answer is 33.3T/ T = 33 answer .
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We have different rates in our
restaurant. If there are 200 persons,
we charge Rs. 165 per person. Ifthere are 150 persons, we charge
170 per person. What would be the
charge if there are 100 persons?
X + 150 Y = 170*150
X + 200Y = 165*200
50 Y = 7500 or Y = 150.; X will be 3000thus when there will be 100 persons,
= 3000+150*100 = 18000/100 = 180
answer.
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Answer continued . . . Sum of
infinite series . . . . .Sum = A / (1-R)
A = first term
R = ratio; R = Second term / First term
In the given question, A = 50T / 2.
Ratio is thus, the solution is 25T / (1-
1/4)
= 25T / .75 = 33T
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ABOUT A FTERSCH OOOLAfterschoool conducts three year integrated PGPSE (after
class 12th along with IAS / CA / CS) and 18 month PGPSE
(Post Graduate Programme in Social Entrepreneurship)
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course is also available online also. It also conductsworkshops 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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Who are our supporters?Afterschoolians, our past beneficiaries,
entrepreneurs and social entrepreneurs
are supporting us.You can also support us not
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promotor of our concept and our ideas.
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About AFTERSCHOOOL 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
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Option to take up part time job so earn while
you learn
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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,
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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
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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
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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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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
AFTERSCHOOOL will shortly open itsbranches in important cities in Indiaincluding Delhi, Kota, Mumbai, Gurgaonand other important cities.Afterschooolians will be responsible formanaging and developing these
branches and for promoting socialentrepreneurs.
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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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