8 July Quantitative Aptitude II

8/14/2019 8 July Quantitative Aptitude II

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www.afterschoool.tk AFTERSCHOOOL MATERIAL FO

Quantitative aptitude

Afterschoool developing change makers

CENTRE FOR SOCIALENTREPRENEURSHIP

PGPSE PROGRAMME OPEN FOR ALLFREE FOR ALL


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Quantitative aptitudeDr. T.K. Jain.

AFTERSCHOOOL

Centre for social entrepreneurship

Bikaner

M: 9414430763

[email protected]

www.afterschool.tk

www.afterschoool.tk
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10 persons spent Rs. 35 each. 11th

spent Rs. 20 more than average of

all. How much money was spent?Money spent by 10 = 35*10 =350.

Let us assume their average to be X.

X = [350 +(X+20)] / 11

11X = 350+X+20

10X = 370 or X = 37.

Thus money spent by 11th is 57. thus total

money spent is 350+57 = 407 answer.


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What is the least number to be

multiplied to 6125 to make it cube

is ?Let us find factors of 6125:

= 5*5*5*7*7.

Thus we have three 5 and two 7. In orderto make it cube, we shall multiply it by 7.

answer.


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Average of 7 numbers is 45. if

average of first 5 is 30 and that of

last 3 is 60. find the forth number, ifit is 17 more than 5th number.

Total of first 5= 150

Total of last 3 = 180 thus their total is330 Fifth number has been countedtwice.

Total of 7 numbers is : 315. 5th number is : 330-315 =1 5.Thus fourth number is 15+17 = 32

answer.


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6 years ago the average of a family

of 6 members was 21 years. A baby

was born in between and theaverage age of family increased by 3

years. What is the age of baby?

Total age of family 6 years back = 6*21 =126. Add 6*6 in it = 126+36 = 162

However, their total age is : 7*24=168.

Thus the age of baby is : 168-162 = 6years.


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What is the largest number which

will divide 39,73 and 90 and leave

same remainder in every case?To solve this question, find the difference

between the numbers:

The difference is 73-39 = 3490-73 = 17.

Find HCF of 17 &34 = 17

Answer = 17.


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What remainder will you get

when you divide 2^63 by 5? Unit digits in power of 2 are as under: 2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 16, 2^5 = 32,

2^6=64, 2^7 = 128 or 8 2,4,8,6,2,4,8,6, and so on when the power is

1,2,3,4,5, and so on. The power repeatsafter every 4 digits. Divide 63 by 4, we get 3as remainder. At 3rd level we have

remainder 8. Thus when power will be 63,unit digit will be 8. thus remainer will be 8-5= 3 answer.


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What remainder will you get

when you divide 2^13 by 5?As per the last solution, we shall find the

order. 13 divided by 4 gives remainder 1

which gives us unit value as 2. thusremainder will be 2 answer.


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A^3B =220 and BC^2 = 880. what is

C? (ABC are positive numbers)220 is not divisible by 2^3 or 3^3 or 4^3

or 5^3. thus A^3 = 1. or A = 1.

Thus B = 220.Thus C^2 = 4.

Thus C = 2 answer.


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2X+9Y is divisible by 13. (X , Y are

positive numbers). Which of the

following is divisible by 13? 4X +13Y, 5X+7Y+4, 3X-7Y+2, 4X+7Y+9

Solution: when we assume value of X = 2,

and Y = 1, the equation is divisible by 13.similarly, when we take value of X = 4 and Y

= 2, the equation is divisible by 13.

4X+7Y +9 is divisible by 13 with the values

X = 4 and Y =2. (thus this is answer).


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ere s one num er w c s ormeby writing one digit 6 times. Such

number is always divisible by which

prime numbers?3, 11 , 13,For 11 we take alternate digits thus all

such numbers will be divisible by 11. (for finding divisibility by 3, we take

numbers in groups of 3 digits) thus thenumber will always be divisible by 13. It

may be any number as : 111111,222222, 333333 etc.


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Find HCF of 2/3, 8/9 & 16/81?Find HCF of 2,8 and 16. = 2

Find LCM of 3,9 and 81. = 81

The answer: 2/81 answer.


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Bankers gain on a sum due 5 years

hence at 10% per annum is 450.

what is bankers discount andamount of bill?

Bankers discount true discount =bankers gain.

Let us assume amount is Rs. 1000. Bankers discount = 1000*10*5/100 = 500 True discount = amt present value Present value = (1000*100) / (100+10*5)=

100000/150 = 666. thus true discount = 333. Bankers gain is 167. 1000/167*450 = 2700 Bankers discount = 2700*10*5/100 = 1350.


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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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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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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

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

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,

Bhubaneshwar Pacific Institute, Udaipur Engineering College, Hyderabad


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Hospitality sector and culture and heritage Other sectors of high growth, high technology and social

relevance


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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

degree

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

the education by distance mode. / you may attend weekendclasses

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

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Components

Pedagogy curriculum and approach based on IIM Ahmedabad and ISBHyderabad (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,

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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 yourselfonly


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8 July Quantitative Aptitude II