Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

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Question 1
A does a work in 10 days and B does the same work in 15 days. in how many days they together will do the same work?

A
5 days
B
6 days
C
8 days
D
9 days
Correct Answer: Option B

A's 1 days work=1/10 and B 's 1 days work = 1/15.

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

So, both together will finish the work in 6 days.

Question 2
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for ₹ 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

A
₹ 375
B
₹ 400
C
₹ 600
D
₹ 800
Correct Answer: Option B

C's 1 day's work = 1 - 1 + 1 = 1 - 7 = 1 .
3 6 8 3 24 24

A's wages : B's wages : C's wages

= 1 : 1 : 1 = 4 : 3 : 1.
6 8 24

C's share (for 3 days)

= ₹ 3 x 1 x 3200 = ₹ 400.
24

Question 3
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A
12 days
B
15 days
C
16 days
D
18 days
Correct Answer: Option B

A's 2 day's work = 1 x 2 = 1 .
20 10

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

= 1 + 1 +1 = 6 = 1 .
20 30 60 60 10

Work done in 3 days = 1 + 1 = 1 .
10 10 5

Now, 1 work is done in 3 days.
5

Whole work will be done in (3 x 5) = 15 days.

Question 4
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

A
1/4
B
1/10
C
7/15
D
8/15
Correct Answer: Option D

A's 1 day's work = 1 ;
15

B's 1 day's work = 1 ;
20

(A + B)'s 1 day's work = ( 1 + 1 ) = 7 .
15 20 60

(A + B)'s 4 day's work = ( 7 x 4 ) = 7 .
60 15

Therefore, Remaining work = ( 1 - 7 ) = 8 .
15 15

Question 5
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

A
20 days
B
221/2 days
C
25 days
D
30 days
Correct Answer: Option B

Ratio of times taken by A and B = 1 : 3.

The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.

If difference of time is 2 days, B takes 3 days.

If difference of time is 60 days, B takes

3 x 60 = 90 days.
2

So, A takes 30 days to do the work.

A's 1 day's work = 1
30

B's 1 day's work = 1
90

(A + B)'s 1 day's work = 1 + 1 = 4 = 2
30 90 90 45

A and B together can do the work in

45 = 22 1 days.
2 2

Question 6
A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

A
91/5 days
B
92/5 days
C
93/5 days
D
10 days
Correct Answer: Option C

(A + B + C)'s 1 day's work = 1 ,
4

A's 1 day's work = 1 ,
16

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

Therefore C's 1 day's work

= 1 - ( 1 + 1 ) = ( 1 - 7 ) = 5 .
4 16 12 4 48 48

So, C alone can do the work in 48 = 9 3 days.
5 5

Question 7
A can do a piece of work in 30 days while B can do it in 40 days. In how many days can A and B working together do it ?

A
70 days
B
423/4 days
C
271/7 days
D
171/7 days
Correct Answer: Option D

(A + B)'s 1 day's work = (1/30 + 1/40) = 7/120

∴ Time taken by both to finish the work = 120/7days = 171/7 days

Question 8
A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?

A
3 days
B
5 days
C
7 days
D
11 days
Correct Answer: Option B

B's 9 day's work = 9 x (1/12) = 3/4

Remaining work = (1 - 3/4) = 1/4

∴ 1/4 work is done by A in = 20 x (1/4) = 5 days.

Question 9
A can do  of a work in 5 days and B can do  of the work in 10 days. In how many days both A and B together can do the work ?

A
73/4 days
B
84/5 days
C
93/8 days
D
10 days
Correct Answer: Option C

∵ 1/3 of work is done by A in 5 days.

∴ Whole work will be done by A in 15 days.

∵ 2/3 of work is done by B in 10 days.

Whole work will be done by B in 10 x (5/2) i.e., 25days

∴ (A + B)'s 1 day's work = (1/15 + 1/25) = 8/75

So, both together can finish it in 75/8 days, i.e., 93/8 days.

Question 10
A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. In what time can they do it all working together ?

A
12 days
B
13 days
C
16 days
D
26 days
Correct Answer: Option C

(A + B)'s 1 day's work = 1/18

(B + C)'s 1 day's work = 1/24

(A + C)'s 1 day's work = 1/36

Adding 2 (A + B + C)'s 1 day's work = (1/18 + 1/24 + 1/36) = 1/8

∴ (A + B + C)'s day's work = 1/16

Hence, all working together can finish it in 16 days.

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