Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

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Question 31
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

A
35
B
40
C
45
D
50
Correct Answer: Option B

Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.

Then, 4x + 6y = 1 and 3x + 7y = 1 .
8 10

Solving the two equations, we get:

x = 11 , y = 1
400 400

1 woman's 1 day's work = 1 .
400

10 women's 1 day's work = 1 x 10 = 1 .
400 40

Hence, 10 women will complete the work in 40 days.

Question 32
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

A
15
B
16
C
18
D
25
Correct Answer: Option B

Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4.

Suppose Tanya takes x days to do the work.

5 : 4 :: 20 : x    x = 4 x 20
5

x = 16 days.

Question 33
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

A
11 days
B
13 days
C
203/17 days
D
None of these
Correct Answer: Option B

Ratio of times taken by A and B = 100 : 130 = 10 : 13.

Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x

=>  x = ( 23 x 13 )   =>  x = 299 .
10 10

A's 1 day's work = 1 ;
23

B's 1 day's work = 10 .
299

(A + B)'s 1 day's work

= ( 1 + 10 ) = 23 = 1 .
23 299 299 13

Therefore, A and B together can complete the work in 13 days.

Question 34
A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

A
1/24 day
B
7/24 day
C
33/7 days
D
4 days
Correct Answer: Option C

Formula: If A can do a piece of work in n days,

then A's 1 day's work = 1 .
n

(A + B + C)'s 1 day's work = 1 + 1 + 1 = 7 .
24 6 12 24

Formula: If A's 1 day's work = 1 ,
n

then A can finish the work in n days.

So, all the three together will complete the job in:

24 days = 3 3 days.
7 7

Question 35
X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

A
6 days
B
10 days
C
15 days
D
20 days
Correct Answer: Option B

Work done by X in 4 days = 1 x 4 = 1 .
20 5

Remaining work = 1 - 1 = 4 .
5 5

(X + Y)'s 1 day's work = 1 + 1 = 8 = 2 .
20 12 60 15

Now, 2 work is done by X and Y in 1 day.
15

So, 4 work will be done by X and Y in 15 x 4
5 2 5

= 6 days.

Hence, total time taken = (6 + 4) days = 10 days.

Question 36
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

A
7 hours 30 minutes
B
8 hours
C
8 hours 15 minutes
D
8 hours 25 minutes
Correct Answer: Option C

Number of pages typed by Ravi in 1 hour

= 32 = 16 .
6 3

Number of pages typed by Kumar in 1 hour

= 40 = 8.
5

Number of pages typed by both in 1 hour

= ( 16 + 8 ) = 40 .
3 3

Therefore Time taken by both to type 110 pages

= ( 110 x 3 ) hours
40

= 8 1 hours (or) 8 hours 15 minutes.
4

Question 37
A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

A
4 days
B
6 days
C
8 days
D
18 days
Correct Answer: Option A

Ratio of rates of working of A and B = 2 : 1.

So, ratio of times taken = 1 : 2.

B's 1 day's work = 1 .
12

Therefore A's 1 day's work = 1 ; (2 times of B's work)
6

(A + B)'s 1 day's work = ( 1 + 1 ) = 3 = 1 .
6 12 12 4

So, A and B together can finish the work in 4 days.

Question 38
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

A
4 days
B
6 days
C
8 days
D
12 days
Correct Answer: Option B

Suppose A, B and C take :

x, x and x days respectively to finish the work.
2 3

Then, 1 + 2 + 3 = 1
x x x 2

6 = 1
x 2

x = 12.

So, B takes (12/2) = 6 days to finish the work.

Question 39
Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

A
3 : 4
B
4 : 3
C
5 : 3
D
Data inadequate
Correct Answer: Option B

(20 x 16) women can complete the work in 1 day.

1 woman's 1 day's work = 1 .
320

(16 x 15) men can complete the work in 1 day.

1 man's 1 day's work = 1
240

So, required ratio
= 1 : 1
240 320
= 1 : 1
3 4
= 4 : 3 (cross multiplied)

Question 40
A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

A
8 days
B
10 days
C
12 days
D
15 days
Correct Answer: Option C

(A + B)'s 1 day's work = ( 1 + 1 ) = 1 .
15 10 6

Work done by A and B in 2 days = ( 1 x 2 ) = 1 .
6 3

Remaining work = ( 1 - 1 ) = 2 .
3 3

Now, 1 work is done by A in 1 day.
15

Therefore 2 work will be done by a in ( 15 x 2 )
3 3

= 10 days.

Hence, the total time taken = (10 + 2) = 12 days.

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