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50 men can complete a work in 40 days. They begin the work together but a batch of 5 men left after each period of 10 days. What is the time to complete the work?
CDS I 2024
45 days
50 days
55 days
60 days
If the work done by x men in (x + 1) days is equal to the work done by (x + 5) men in (x - 2) days, then what is the value of x ?
CDS I 2024
5
6
7
8
p number of men can finish a piece of work in q days. If there are 50% more men, then the work will be finished 12 days earlier. What is the value of q?
CDS I 2024
48
40
36
Cannot be determined due to insufficient data
A can do a certain work at twice the speed of B. Further, B can do the same work at 1.5 times the speed of C. All of them together can finish the work in 12 days. In how many days can C alone finish the work ?
CDS I 2023
36 days
45 days
60 days
66 days
If 17 women and 24 men can do a piece of work in 5 days and 12 women and 23 men can do it in 6 days, then which one of the following is correct ?
CDS I 2023
Efficiency of 13 women = Efficiency of 18 men
Efficiency of 11 women = Efficiency of 16 men
Efficiency of 13 women = Efficiency of 17 men
Efficiency of 11 women = Efficiency of 15 men
Three taps A, B and C together can fill a tank in 6 hours. Tap C alone can fill the tank in 12 hours. To fill the tank, when it is empty, all the three taps are started together. After working t hours, tap C is closed and the tank is filled in 8 more hours. What is t equal to ?
CDS I 2023
1
2
4
6
A, B, and C can complete a work in x, 1.5x and 2x days respectively. If they complete the work together, in what ratio should they be paid?
CDS I 2023
2 : 3 : 4
6 : 4 : 3
3 : 2 : 1
4 : 3 : 2
X and Y Can do a piece of work in 45 days and 40 days respectively. They begin to work together, but X leaves after n days and then Y completes the remaining work in 23 days. What is n equal to ?
CDS II 2022
8
9
10
12
480 persons working 10 hours per day complete one-fourth of a work in 10 days. How many additional persons are to be employed in order to complete the remaining work in 20 days, working 8 hours per day?
CDS II 2022
400
420
480
500
12 women and 16 men can do a piece of work in 5 days. 13 women and 24 men can do it in 4 days. How long will 25 women and 50 men take to do it ?
CDS II 2022
1 day
2 days
3 days
4 days
In the bottom of a water tank, there are two drains A and B. If only A is open, it takes 30 minutes to empty a full tank and if only B is open, it takes 20 minutes. If for 10 minutes both drains are open, then B is closed, how much time it takes to empty a full tank?
62nd BPSC
15 minutes
18 minutes
20 minutes
25 minutes
Mohan can do a bit of work in 25 days which can be completed by Sohan in 20 days. Both together labour for 5 days and afterward Mohan leaves off. How long will Sohan take to complete the remaining work?
66th BPSC
11 days
14 days
21 days
None of the above
One tap can fill a water tank in 3 hours and another tap can empty it in 4 hours. If the tank is one-third full and both the taps are opened together, then the time taken to fill the tank will be
65th BPSC
8 hours
9 hours
10 hours
None of the above
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?
63rd BPSC
3
4
5
6
Anil and Suman together can do a work in 12 days, which Anil alone can do in 20 days. If Suman alone has to do this work, he will take
67th [RE] BPSC
28 days
29 days
30 days
None of the above
In lock and key factory, one machine produces only locks at the rate of 100 locks per minute and needs to be cleaned for 5 minutes after production of every 1000 locks Another machine produces only keys at the rate 75 keys per minute and needs to be cleaned for 10 minutes after production of every 1500 keys, If both the machines start production at the same time, what is the minimum duration in minutes required for producing 9000 pairs of locks and keys?
66th [RE] BPSC
180
170
135
None of the above
If A and B can finish a work in 10 days, B and C can finish the same work in 12 days, C and A can finish the same work in 15 days; then in how many days can A, B and C together finish half of the work?
CDS II 2023
8 days
5 days
4 days
6 days
Three persons A, B and C together can do a piece of work in 36 days. A and B together can do five times as much work as C alone; B and C together can do as much work as A alone. If A and C together can do n times as much work as B alone, then what is the value of n?
CDS II 2023
1.5
2
2.5
3
A, B, C, D can complete a work in 3, 6, 9, 12 hours respectively. Further, only one person can work at a time in each hour and nobody can work for two consecutive hours. It is not necessary to engage all. What is the minimum number of hours that they will take to finish the work ?
