31)

24 persons can do a piece of work in 20 days. In how many days can 30 persons do the same work?

SSC CHSL 2021

A)

18

B)

16

C)

14

D)

12

32)

A can complete a piece of work in 7 days and B can complete the same work in 12 days. A and B worked together for 3 days. C alone completed the remaining work in 9 days will C take to complete the same work entirely?

SSC CHSL 2021

A)

21

B)

35

C)

28

D)

14

33)

X and Y together can do a work in \(2 \frac{2}{5}\) days, Y and Z together can do the same work in 3 days, and X and Z together can do the same work in 4 days. The time taken by X, Y and Z together to do the same work is:

SSC CHSL 2021

A)

\(\frac{1}{2} \) day

B)

1 day

C)

2 days

D)

\(2 \frac{1}{2}\) days

34)

P can complete five-eighths of a work in 15 days and Q can complete three-fourths of the same work in 30 days. They worked together for 8 days and then P left. How much time will Q working alone, take to complete the remaining work?

SSC CHSL 2021

A)

15 day 8 hours

B)

15 days 16 hours

C)

18 days 16 hours

D)

20 day 4 hours

35)

A certain number of persons can complete a work in 54 days. If there were 15 persons less, it would take 18 days more for the work to be completed. Initially, the number persons is:

SSC CHSL 2021

A)

60

B)

72

C)

56

D)

50

36)

A person rows upstream a distance of 55 km in 5 hours and rows downstream a distance of 75 km in 3 hours. How much time will he take to row a distance of 96 km in still water?

SSC CHSL 2021

A)

4 hours 40 minutes

B)

5 hours 20 minutes

C)

5 hours 45 minutes

D)

6 hours 10 minutes

37)

A, B and C can independently complete the same task in 4, 6 and 12 days, respectively. In how many days will they be able to complete the same task if they work together?

SSC CHSL 2021

A)

2

B)

3

C)

\(2\frac{1}{4}\)

D)

\(2\frac{1}{2}\)

38)

A, B and C can complete a work in x, 30 and 45 days, respectively. B and C worked together for 6 days. The remaining work was completed by A alone in 12 days. The value of x is:

SSC CHSL 2021

A)

24

B)

20

C)

18

D)

15

39)

P and Q can complete a work in 9 days and 15 days, respectively. If they work together for three days, then in how many days will the remaining work be completed by Q alone?

SSC CHSL 2021

A)

12

B)

8

C)

7

D)

9

40)

A is thrice as efficient as B. A takes 24 days less than B to complete a work. If they work together, in how many days, will the work be completed?

SSC CHSL 2021

A)

8

B)

9

C)

12

D)

15