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TechMahindra Aptitude - Numerical Placement Paper 7 May 2006 techno india, salt lake, kolkata.

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I) Distribution of workers in a factory according to the no.of

children they have


1. Total no. of workers in the factory.

        Ans : 200

2. Total no. of children that all the workers that have ranging from them is

        Ans : 560

3. The total no. of literate workers is

        Ans : 105

4. The ratio of literate & illiterate is

        Ans - 1:2

5. The no. of literate workers with atleast three children is

        Ans : 45

6. The no. of illiterate workers with less than four children is

        Ans : 60

7. The rate of literate to illiterate workers who have three children is

        Ans - 3:4

II) Which of the subsequent statement(s) is(are) not actual


a. Literate workers have small families than illiterate workers.

b. Families with two or less than two children are commoner than families

with three or more     children.

c. two children families constitute 60% of the families of workers.

d. More the no. of children a worker has the more illiterate he is.

e. None the above statement is actual.

        Ans : e

III) ---- of a mutual instrument vibrate 6,8 & 12 intervals

respectively. If all 3 vibrate together what is the time

interval before all vibrate together again?

        LCM of NR

        ---------     Ans : 1/2 sec

        HCF of DR 

12) Certain no. of men can finish a piece of work in 10 days. If

however there were 10 men     less  it will take 10 days more for the

work to be finished. How many men were there     originally.

        Ans : 110 men

10) In simple interest what sum amounts of Rs.1120/- in four years and

Rs.1200/- in five years.

        Ans : Rs.800/-

vi) Sum of money at compound interest amounts of thrice itself in 3

years. In how many years

    will it take nine times itself.

        Ans : 6

vii) 2 trains in the identical direction at 50 & 32 kmph respectively. A

man in the slower      train observes the 15 seconds elapse before the

faster train completely passes him.

     What is the length of faster train ?

        Ans : 75m

16) How many mashes are there in a sq. m of wire gauge. every mesh

being 8mm long X 5mm       width

        Ans : 25000

17) x% of y is y% of ?

        Ans : x

11) The price of sugar increases by 20%, by what % house-wife should

decrease the consumption of sugar so that expenditure on sugar can be

identical as before

        Ans : 16.66

? ) A man spending half of his salary for house hold expenses, 1/4th

for rent, 1/5th for travel expenses, a man deposits the rest in a

bank. If his monthly deposits in the bank amount 50. What is his

monthly salary ?

        Ans : 1000

? ) The population of a city increases @ 4% p.a. That is an additioanl

annual increase of 4% of the population due to this influx of job

seekers, the % increase in population after two years is

        Ans :

? ) The ratio of no. of boys & girls in a school is 3:2 Out of these

?% the boys & 25% of girls  are scholarship holders. % of students who

are not scholarship holders.?

        Ans :

? ) 15 Men take 21 days of eight hrs. every to do a piece of work. How many

days of six hrs. every would do if 21 women take. If three women do as much

work of two men.

        Ans : 30

?)   a cylinder ingot 6cms in diameter and six cms in height is  and

spheres all of the identical

        size are made from the material found.what is the diameter of every


        Ans :3cms

5)      rectangular plank of sqrt(2)meters wide can be placed so that it is

 on either side of the diagonal of a square shown beneath.what is the

area of the plank?

                Ans :7sqrt(2)

                fig no-

7) the difference b/w the compound interest payble  half yearly and

the simple interest on a

        certain sum cont out at 10% p.a for one year is Rs 25 what is the sum


8) what is the smallest n0 by which 2880 must be divided in order to

make it a

        perfect square ?

        Ans : c

        a)3 b)4 c)5 d) six e)8

9)a dad is 30 times more than his son however he will be only

thrice as old as the son

        what is father's current age ?

        Ans : 40

10) An article sold at a profit of 20% if both the c.p & s.p were to

be Rs.20/- the profit would be 10% more. What is the c.p of that


        Ans : 1% loss
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