TechMahindra(MBT) Placement Paper Aptitude - Numerical -1 Mar 2006

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

children they have

Figure

1. Total no. of workers in the factory.

Ans : 200

2. Total no. of children that all the workers that have between 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 3 children is

Ans : 45

6. The no. of illiterate workers with less than 4 children is

Ans : 60

7. The rate of literate to illiterate workers who have 3 children is

Ans - 3:4

II) Which of the following statement(s) is(are) not true

a. Literate workers have small families than illiterate workers.

b. Families with 2 or less than 2 children are commoner than families

with 3 or more children.

c. 2 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 true.

Ans : e

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

respectively. If all three 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 4 years and

Rs.1200/- in 5 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 9 times itself.

Ans : 6

vii) Two trains in the same 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. Each 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

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

same 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 2 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.?

? ) 15 Men take 21 days of 8 hrs. each to do a piece of work. How many

days of 6 hrs. each would do if 21 women take. If 3 women do as much

work of 2 men.

Ans : 30

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

spheres all of the same

size are made from the material obtained.what is the diameter of each

sphere?

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 below.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 1 year is Rs 25 what is the sum

Ans:10,000

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) 6 e)8

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

thrice as old as the son

what is father's present 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

article?

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

children they have

Figure

1. Total no. of workers in the factory.

Ans : 200

2. Total no. of children that all the workers that have between 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 3 children is

Ans : 45

6. The no. of illiterate workers with less than 4 children is

Ans : 60

7. The rate of literate to illiterate workers who have 3 children is

Ans - 3:4

II) Which of the following statement(s) is(are) not true

a. Literate workers have small families than illiterate workers.

b. Families with 2 or less than 2 children are commoner than families

with 3 or more children.

c. 2 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 true.

Ans : e

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

respectively. If all three 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 4 years and

Rs.1200/- in 5 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 9 times itself.

Ans : 6

vii) Two trains in the same 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. Each 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

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

same 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 2 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 8 hrs. each to do a piece of work. How many

days of 6 hrs. each would do if 21 women take. If 3 women do as much

work of 2 men.

Ans : 30

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

spheres all of the same

size are made from the material obtained.what is the diameter of each

sphere?

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 below.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 1 year is Rs 25 what is the sum

Ans:10,000

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) 6 e)8

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

thrice as old as the son

what is father's present 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

article?

Ans : 1% loss