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SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - SSC CGL MCQ


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30 Questions MCQ Test SSC CGL Mathematics Previous Year Paper (Topic-wise) - SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 for SSC CGL 2024 is part of SSC CGL Mathematics Previous Year Paper (Topic-wise) preparation. The SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 questions and answers have been prepared according to the SSC CGL exam syllabus.The SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 below.
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SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 1

A, B and C contract a work for ₹ 440. Together A and B do 9/11 of the work. The share of C should be:    (SSC CGL 1st Sit. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 1

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 2

A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work is    (SSC CGL 1st Sit. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 2

Let B takes 2x days
and A takes x days

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SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 3

A can do 1/3rd of a work in 5 days and B can do 2/5th of this work in 10 days. Both A and B, together can do the work in    (SSC CGL 1st Sit. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 3

A can do work in = 5 × 3 = 15 days

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 4

A can finish a work in 7 days. B can finish the same work in 9 days. The days required to finish the work by both of them together.    (SSC CGL 1st Sit. 2016)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 4

A can do work in = 7 days
B can do work in = 9 days

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 5

If 20 women can lay a road of length 100m in 10 days. 10 women can lay the same road of length 50m in:    (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 5

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 6

A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labours it was found that only 5/8th of the road had been constructed. To complete the work in stipulated time the number of extra labours required is:     (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 6


Hence, 36 – 20 = 16 more men needed to complete the remaining work in 4 days.

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 7

12 monkeys can eat 12 bananas in 12 minutes. In how many minutes can 4 monkeys eat 4 bananas?    (SSC Sub. Ins. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 7

12 monkeys can eat 12 bananas in 12 minutes
So 1 monkey can eat 1 banana in 12 minutes
4 monkeys can eat 4 banana in 12 minutes

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 8

20 men can do a piece of work in 18 days. They worked together for 3 days, then 5 men joined them. In how many more days is the work completed?    (SSC Sub. Ins. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 8


SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 9

If 4 men or 8 women can do a piece of work in 15 days,  in how many days can 6 men and 12 women do the same piece of work?    (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 9

4 M = 8W
∴ 1M = 2W
Now, 6M + 12 W = 6 × 2W + 12W
= 12W + 12W
= 24 W
Now, M1d1 = M2d2
⇒ 8W × 15 = 24 W × d2

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 10

4 men and 6 women complete a work in 8 days, 2 men and 9 women also complete it in 8 days. The number of days 18 women complete the work is:    (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 10

As M1d1 = M2d2
⇒ (4M + 6W) x 8 = (2M + 9W) x 8
⇒ 4M + 6W = 2M + 9W
⇒ 2M = 3W

Here 12W complete a work in 8 days.
So, let 18 women complete a work in x days
12W x 8 = 18W x x

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 11

A's 2 days work is equal to B's 3 days work. If A can complete the work in 8 days then to complete the work B will take:    (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 11

A’s 2 days work = B’s 3 days work.
A complete a work in 8 days

∴ B’s will take 12 days to complete the work.

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 12

A tap can empty a tank in 30 minutes. A second tap can empty it in 45 minutes. If both the taps operate simultaneously, how much time is needed to empty the tank?    (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 12

Work done by 1st tap in one minute = 1/30
Work done by 2nd tap in one minute = 1/45

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 13

A pipe can fill a tank in x hours and another can empty it in y hours. They can together fill it in (y > x)    (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 13

Work done by A in one hour = 1/x
Work done by B  one in hour = 1/y
Both A & B together work in one hour

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 14

A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is    (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 14

A and B can complete work in 6 days
A can complete in 18 days
Let B can complete in x days
∴ One day work will be equal to

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 15

Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. Another pipe C can empty the tank in 30 min.
First  A and B are opened. After 7 minutes, C is also opened. The tank is filled up in    (SSC CHSL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 15

In one minute (A + B) can together fill 
part.
In 7 minutes part of tank filled = 7/20

In 8th minutes, part filled by A, B and C altogether

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 16

A and  B working separately can do a piece of work in 9 and 15 days respectively. If they work for a day alternately, with A beginning, then the work will completed in    (SSC CHSL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 16


Hence, the work will be completed in 11 days.

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 17

Pratibha is thrice as efficient as Sonia and is therefore able to finish a piece of work in 60 days less than Sonia. Pratibha and Sonia can individually complete the work respectively in    (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 17

Let Pratibha can finish the work in x days then, Sonia can finish the same work in 3x days.
According to question,
3x – x = 60
⇒  2x = 60 ⇒ x = 30
Pratibha and Sonia can individually complete the work in 30 days and 90 days respectively.

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 18

Three pipes A, B and C can fill a tank in 6 hours. After working it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is    (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 18


SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 19

A, B and C together can do a piece of work in 40 days. After working with B and C for 16 days, A leaves and then B and C complete the remaining work in 40 days more. A alone could do the work in    (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 19

(A + B + C)'s 1 day's work = (1/40)th part of whole work
(A + B + C)'s 16 day's work = 16/40 = 2/5 of whole work (B + C) completes remaining work in 40 days. (B + C)

∴ A alone can complete whole work in 100 days.

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 20

Seventy-five men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time?    (SSC Sub. Ins. 2014)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 20

More the no. of men less time they take to complete work.
Let x men are added,

⇒ 375 – 75 = x
⇒ x = 300

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 21

A can do 7/8 of work in 28 days, B can do 5/6 of the samework in 20 days. The number of days they will take to complete if they do it together is    (SSC Sub. Ins. 2014)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 21

A can complete whole work in 
B can complete whole work in  
∴ A and B together can complete whole work in

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 22

A is twice as good a workman as B and together they finish a piece of work in 20 days. In how many days will A alone finish the work?    (SSC Multitasking 2014)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 22

If A can finish the work in x days, B finish the same work in 2x days.
(A + B) together finish work in 20 days

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 23

Raju can do a piece of work in 20 days, while Ram can do it in 30 days. If  both of them work at it together, then the number of days in which they will be able to finish the work is    (SSC Multitasking 2014)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 23

Raju and Ram together can finish the work in

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 24

A and B can do a job in 12 days. B and C in 15 days and C and A in 20 days. How long would A take to do that work?    (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 24

(A + B)'s 1 day's work = 1/12
(B + C)'s 1 day's work = 1/15
(C + A)'s 1 day's work = 1/20
∴ (A + B + C)'s 1 day's work = 1/10

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 25

3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish the work?    (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 25

3 men ≡ 5 women
6 men + 5 women = 15 women
∴ By M1D1 = M2D2
⇒ 5 × 12 = 15  × D2

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 26

A piece of work can be done by Ram and Shyam in 12 days, by Shyam and Hari in 15 days and by Hari and Ram in 20 days. Ram alone will complete the work in    (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 26

(Ram's + Shyam's) 1 day's work = 1/12
(Shyam's + Hari's) 1 day's work = 1/15
(Hari's + Ram's) 1 day's work = 1/20
Adding all three,
2 (Ram's + Shyam's + Hari's) 1 day's work

∴ (Ram's + Shyam's + Hari's)
1 day's work = 1/10

∴ Ram alone will do the work in 30 days.

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 27

12 men construct 1.5 km of road in 7 days. 28 men will construct 12 km of roads in    (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 27

Let the required number of days be x.
Then, more men, more km (Direct proportion) more days, more km (Direct proportion)

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 28

A can do a piece of work in 10 days. B can do the same work in 15 days. How long would both of them take to do the same work?    (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 28

A’s 1 day’s work = 1/10 and B’s 1 day’s work = 1/15

So both together will finish the work in 6 days.

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 29

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    (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 29

(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)
Also, A’s 1 day’s work = (B + C)’s 1 day’s work      ...(2)
From (1) and (2), we get:
2 × (A’s 1 day’s work) = 3/25

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

SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 30

A does 20% less work than B. If A can complete a piece of work in  then B can do it in    (SSC CGL 2013)

Detailed Solution for SSC CGL Previous Year Questions: Time and Work (Pipe & Cisterns) - 2 - Question 30

Efficiency of A and B = 4 : 5
Ratio of respective time = 5 : 4
∴ Time taken by B

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