29 july quantitative aptitude ii

8/14/2019 29 July Quantitative Aptitude II

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www.afterschoool.tk AFTERSCHOOOL MATERIAL FO

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

[email protected]

www.afterschool.tk

www.afterschoool.tk
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Squares of two consecutive positive

integers differ by 1987, what is the

sum of those two numbers?X^2 Y^2 = 1987

(X+Y) (X-Y) = 1987

Let us take factors of 1987

We are not able to find such numbers,

which can be factors of 1987, therefore,

there are no such numbers.


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Squares of two positive integers

differ by 1100, what is the sum of

those two numbers? X^2 Y^2 = 1100 (X+Y) (X-Y) = 1100 Let us take factors of 1100

The factors are 11*2*5*2*5 X +Y can be any of the sub factors like 11*2*5 or

11*5*5 or 11*2*2 or 11 or 11*2 or 11*5. Let us try with11*2*5, thus X-Y = remaining factors = 2*5.

We can have 110 and 10 as two factors X +Y = 110, X Y = 10. solving, we get 2X = 120, X =

60, and 2Y = 100, Y = 50. thus their sum is 110answer.


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The interior angles of a polygon are

in arithmetic series with A = 120,

and D = 5. How many angles are

there in the polygon?We know that in triangle, the sum of

angles is 180, in square, it is 360, in

pentagon, it is 540, in hexagon it is 720,in septagon it is 900, for Octagon 1080

nanagon 1260 and so on.

Let us start with series :120+125+130+135+140+145+150+155+

160 = thus there are 9 angles.


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We have one defective weight in X

number of weights. We know that we

can check it in only 3 wighings. Can

you tell us, what is the maximumvalue of X?

Options: 24,25,26,27 Let us try with maximum from these, the

maximum is 27. in first weight, we will comparethe in three groups as 9,9, 9. the group withdifferent weight will be taken away. Now we will

form groups of 3,3,3, and the group with differentweight will be taken away, now we will compare1,1,1 and the weight with different weight will beidentified. Anwwer.


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What is the number of integers that

can be formed from 0,2,2,3,3,3,4. The

integer must be more than 1 million. 1 million contains 7 numbers. We can have numbers

like 2233340 etc. Formulae : N! / (Similar numbers)!

=7! / (2! *3!) =5040/ 12 = 420 However, it contains numbers starting from 0 also.

Thus we have to remove all those numbers also fromthis. Let us take 0 in the start now we have for

remaining 6 numbers solution : 6! / (2!*3!) = 720/12=60.

Thus we have 420-60 = 360 numbers. Answer.


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There is a series. The series is 1!, 2!,

3!, 4! And so on. Suppose we add N

terms of this series. This sum isalways divisible by which of the

following?

Options: 2,3,4,5,6,7Solution: every factorial from 3! Onwards

is always divisible by 3. 1! +2! Is also

divisible by 3. Thus this sum is alwaysdivisible by 3 answer.


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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)

along with preparation forCS / CFP / CFA /CMA / FRM. This

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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Why such a programme? To promote people to take up entrepreneurship

and help develop the society

To enable people to take up franchising andother 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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are supporting us.You can also support us not

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About AFTERSCHOOOL PGPSE the best

programme for developing great entrepreneurs

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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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Workshops from

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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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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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29 july quantitative aptitude ii

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