Time & Work · SSC CGL previous year questions

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2025 38 questions

Q552025 · 26 Sept 2025 · Shift 3
A rectangular parallelepiped has dimensions in arithmetic progression. If the sum of its dimensions is 21 cm and the volume is 168 cm $^{3}$ , find its dimensions.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q612025 · 26 Sept 2025 · Shift 3
Lalit can finish a work in . Laxman can finish the same work in . They work together for . If the rest of the work is finished by Lalit and Deven in , then in how many days can Deven alone finish the work?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q752025 · 26 Sept 2025 · Shift 3
A can complete a task in , and B can complete the same task in . They work together for , and then C joins them and completes the remaining work in . How long will C alone take to complete the task?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q532025 · 25 Sept 2025 · Shift 2
Instructions: Evaluate the following statements to determine if the information provided is sufficient to answer the question. Question: If P, Q, and R work together, how many days will they take to complete a project? Statement I: Q and R together can complete the project in 10 days. Statement II: P and R together can complete the project in 15 days.
1. A.Statement I alone provides enough information to answer the question, but Statement II alone does not.
2. B.Statement II alone provides enough information to answer the question, but Statement I alone does not.
3. C.Both Statement I and Statement II combined are needed to answer the question, as neither statement on its own is sufficient.
4. D.Even when combined, the information in both Statement I and Statement II is not enough to answer the question.
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Answer: D
Q752025 · 25 Sept 2025 · Shift 2
A can complete a task in 15 days, and B can complete the same task in 20 days. How long will it take them to complete the task together?
1. A.5.5 days
2. B.6.5 days
3. C.7.5 days
4. D.8.5 days
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Answer: D
Q552025 · 24 Sept 2025 · Shift 1
A rectangular tank measures 12 cm long, 10 cm wide, and 6 cm high. If a spherical ball of the largest possible size is placed inside this tank, what is the volume of the space not occupied by the ball?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q672025 · 24 Sept 2025 · Shift 1
Two taps can fill a tub in 6 minutes and 4 minutes, respectively. A pipe can empty it in 3 minutes. If all the three are kept open simultaneously, when will the tub be full?
1. A.10 min
2. B.12 min
3. C.7 min
4. D.15 min
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Answer: B
Q562025 · 23 Sept 2025 · Shift 2
A rectangular fish tank with a base of 100 cm × 50 cm contains water up to a height of 20 cm. If 5 identical spherical stones, each with a radius of 5 cm, are dropped into the tank and fully submerged, what is the rise in the water level?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q652025 · 23 Sept 2025 · Shift 2
If 10 men or 15 women can complete a work in 170 days, how long will 20 men and 20 women take for completing the same work?
1. A.52 days
2. B.50 days
3. C.51 days
4. D.53 days
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Answer: C
Q542025 · 23 Sept 2025 · Shift 3
A spherical tank is filled with water. The radius of the sphere is 6 meters. The tank is used to fill cylindrical containers, each with a radius of 1 meter and a height of 12 meters. How many containers can be filled?
1. A.14
2. B.18
3. C.24
4. D.30
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Answer: C
Q552025 · 22 Sept 2025 · Shift 1
A bucket can hold 6.25 liters of water. How many such buckets are needed to fill a 1 cubic meter tank?
1. A.150
2. B.160
3. C.165
4. D.170
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Answer: B
Q622025 · 22 Sept 2025 · Shift 1
35 men can do a piece of work in 8 days. Find the time required by 16 men to do four times the work.
1. A.70 Days
2. B.65 Days
3. C.60 Days
4. D.66 Days
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Answer: A
Q632025 · 22 Sept 2025 · Shift 1
Dhaval and Dhiraj together can do a piece of work in 12 days. Dhaval alone can do it in 20 days. In how many days can Dhiraj alone do it?
1. A.30
2. B.28
3. C.29
4. D.27
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Answer: A
Q642025 · 22 Sept 2025 · Shift 2
Athar can do a certain work in the same time in which Baban and Chetan together can do it. If Athar and Baban together could do it in 10 days and Chetan alone in 50 days, then Baban alone could do it in:
1. A.20 days
2. B.25 days
3. C.30 days
4. D.27 days
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Answer: B
Q622025 · 21 Sept 2025 · Shift 2
A group of 5 men or 12 women can complete a task in 70 days. Find the time taken by 5 men and 12 women to complete the task.
1. A.40 Days
2. B.35 Days
3. C.30 Days
4. D.48 Days
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Answer: B
Q662025 · 21 Sept 2025 · Shift 2
A water tank is shaped like a composite prism: the bottom part is a triangular prism with base area 60 cm² and height 1.2 m, while the top part is a rectangular prism with base 40 cm × 30 cm and height 0.8 m. What is the total volume of the tank in liters? (1 m³ = 1000 L)
1. A.103.2 L
2. B.134.4 L
3. C.153.6 L
4. D.172.8 L
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Answer: A
Q652025 · 21 Sept 2025 · Shift 3
A tap can fill an oil tank in 14 hours. After half the tank is filled, 7 more similar taps are opened. What is the total time taken to fill the oil tank completely?
1. A.6 hr 55 min
2. B.6 hr 52 min 20 sec
3. C.7 hr
4. D.7 hr 52 min 30 sec
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Answer: D
Q542025 · 20 Sept 2025 · Shift 1
A contractor employs 15 men to complete a work in 24 days, working 8 hours per day. After six days, he adds five more men but also reduces the working hours to six per day from the seventh day onwards. If all men work with the same efficiency throughout, how many more days will be required to finish the remaining work?
1. A.20
2. B.18
3. C.21
4. D.22
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Answer: B
Q632025 · 20 Sept 2025 · Shift 1
6 women and 4 men can complete a work in 10 days, while 4 women and 5 men complete it in 10 days. In how many days will 8 women complete it?
1. A.12 days
2. B.14 days
3. C.17.5 days
4. D.15 days
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Answer: C
Q632025 · 20 Sept 2025 · Shift 3
Sujit can do a piece of work in 4 days, and Rakesh can do it in 8 days. If they work together for 2 days, how much of the work will be left?
1. A.20%
2. B.30%
3. C.25%
4. D.21%
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Answer: C
Q552025 · 19 Sept 2025 · Shift 1
Two pipes A and B can fill a tank in 18 and 24 minutes respectively. After both are opened together for 6 minutes, the rate of pipe A becomes half, and pipe B becomes double its original. In how many more minutes will the tank be full?
1. A.3 min 45 sec
2. B.2 min 8 sec
3. C.5 min 42 sec
4. D.6 min 50 sec
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Answer: A
Q612025 · 19 Sept 2025 · Shift 3
A tank is in the shape of a rectangular parallelepiped of size 50 m × 40 m × 3 m. Its capacity in kilolitres is
1. A.6,000 kilolitres
2. B.5,000 kilolitres
3. C.4,500 kilolitres
4. D.5,500 kilolitres
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Answer: A
Q552025 · 18 Sept 2025 · Shift 2
A and B can finish a certain job in 28 and 35 days, respectively. They started working together, but A left after a while, and B managed to complete the remaining work in 17 days. How many days did A work before leaving?
1. A.8 days
2. B.5 days
3. C.6⁷⁄₂ days
4. D.7⁵⁄₂ days
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Answer: A
Q552025 · 17 Sept 2025 · Shift 1
Pipe A is capable of filling a tank in 16 minutes while Pipe B can fill the same tank in 24 minutes. Both pipes are opened together, but after 4 minutes, the rate of Pipe A doubles and the rate of Pipe B becomes half of its original. How many more minutes will it take to fill the tank completely?
1. A.4 min
2. B.5 min
3. C.6 min
4. D.7 min
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Answer: A
Q552025 · 17 Sept 2025 · Shift 3
Pipes A and B can fill a tank in 20 minutes and 30 minutes, respectively. Meanwhile, a drainpipe C can empty the tank in 60 minutes. If all three pipes are opened simultaneously, how long will it take to fill the tank?
1. A.15 min
2. B.20 min
3. C.25 min
4. D.10 min
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Answer: A