Author name: Admin

✅ The correct answer is 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.

✅ The correct answer is 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)

✅ The correct answer is 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.

✅ The correct answer is 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

✅ The correct answer is 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.

✅ The correct answer is option C.
(A + B + C)’s 1 day’s work =
1
;

6

(A + B)’s 1 day’s work =
1
;

8

(B + C)’s 1 day’s work =
1
.

12

(A + C)’s 1 day’s work

=

2 x
1

–

1
+
1

6
8
12

=

1
–
5

3
24

=
3

24

=
1
.

8

So, A and C together will do the work in 8 days.

✅ The correct answer is 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

1
work is done by A in

18 x
1

= 6 days.

3
3