Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

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Question 21
Sunil complete a work in 4 days whereas Dinesh completes the work in 6 days. Ramesh work 1 times as fast as Sunil. How many days it will take for the three together to complete the work ?

A
7 / 12
B
15/12
C
15/7
D
None of these
Correct Answer: Option D

Time taken by Ramesh alone = (2/3) x 4 = 8/3 days

∴ Their 1 day's work = (1/4 + 1/6 + 3/8) = 19/24

So, together they can finish the work in 24 /19 days, i.e., 15/19 days.

Question 22
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

A
8 hours
B
10 hours
C
12 hours
D
24 hours
Correct Answer: Option C

A's 1 hour's work = 1 ;
4

(B + C)'s 1 hour's work = 1 ;
3

(A + C)'s 1 hour's work = 1 .
2

(A + B + C)'s 1 hour's work = ( 1 + 1 ) = 7 .
4 3 12

B's 1 hour's work = ( 7 - 1 ) = 1 .
12 2 12

Therefore B alone will take 12 hours to do the work.

Question 23
A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A
23 days
B
37 days
C
371/2 days
D
40 days
Correct Answer: Option C

Whole work is done by A in ( 20 x 5 ) = 25 days.
4

Now,

( 1 - 4 ) i.e., 1 work is done by A and B in 3 days.
5 5

Whole work will be done by A and B in (3 x 5) = 15 days.

A's 1 day's work

= 1 , (A + B)'s 1 day's work = 1 .
25 15

Therefore B's 1 day's work = ( 1 - 1 ) = 4 = 2 .
15 25 150 75

So, B alone would do the work in 75 = 37 1 days.
2 2

Question 24
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

A
4 days
B
5 days
C
6 days
D
7 days
Correct Answer: Option A

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

Then, 6x + 8y = 1 and 26x + 48y = 1 .
10 2

Solving these two equations, we get :

x = 1 and y = 1 .
100 200

(15 men + 20 boy)'s 1 day's work

= 15 + 20 = 1 .
100 200 4

15 men and 20 boys can do the work in 4 days.

Question 25
A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

A
15 days
B
20 days
C
25 days
D
30 days
Correct Answer: Option C

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

C's 1 day's work = 1
50

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

= 1 + 1 = 6 = 3 . .... (i)
10 50 50 25

A's 1 day's work = (B + C)'s 1 day's work .... (ii)

From (i) and (ii), we get: 2 x (A's 1 day's work) = 3
25

A's 1 day's work = 3 .
50

B's 1 day's work 1 - 3 = 2 = 1 .
10 50 50 25

So, B alone could do the work in 25 days.

Question 26
A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?

A
11:30 A.M.
B
12 noon
C
12:30 P.M.
D
1:00 P.M.
Correct Answer: Option D

(P + Q + R)'s 1 hour's work

= ( 1 + 1 + 1 ) = 37 .
8 10 12 120

Work done by P, Q and R in 2 hours

= ( 37 x 2 ) = 37 .
120 60

Remaining work = ( 1 - 37 ) = 23 .
60 60

(Q + R)'s 1 hour's work = ( 1 + 1 ) = 11 .
10 12 60

Now, 11 work is done by Q and R in 1 hour.
60

So,

23 work will be done by Q and R in ( 60 x 23 ) = 23 hours
60 11 60 11

= 2 hours.

So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.

Question 27
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

A
3
B
5
C
7
D
Cannot be determined
E
None of these
Correct Answer: Option C

1 woman's 1 day's work = 1
70

1 child's 1 day's work = 1
140

(5 women + 10 children)'s day's work

= 5 + 10 = 1 + 1 = 1
70 140 14 14 7

5 women and 10 children will complete the work in 7 days.

Question 28
A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

A
40
B
50
C
54
D
60
Correct Answer: Option D

(A + B)'s 20 day's work = ( 1 x 20 ) = 2 .
30 3

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

Now, 1 work is done by A in 20 days.
3

Therefore, the whole work will be done by A in (20 x 3) = 60 days.

Question 29
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

A
5
B
51/2
C
6
D
8
Correct Answer: Option C

B's 10 day's work = ( 1 x 10 ) = 2 .
15 3

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

Now, 1 work is done by A in 1 day.
18

Therefore 1 work is done by A in ( 18 x 1 ) = 6 days.
3 3

Question 30
P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

A
55/11
B
56/11
C
65/11
D
66/11
Correct Answer: Option A

P can complete the work in (12 x 8) hrs. = 96 hrs.

Q can complete the work in (8 x 10) hrs. = 80 hrs.

P's1 hour's work = 1 and Q's 1 hour's work = 1 .
96 80

(P + Q)'s 1 hour's work = 1 + 1 = 11 .
96 80 480

So, both P and Q will finish the work in 480 hrs.
11

Number of days of 8 hours each

= 480 x 1 = 60 days = 5 5 days.
11 8 11 11

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