DSSSB TGT / PGT · Mathematics

Time & Work Previous Year Questions

9 Time & Work (Mathematics) questions asked in DSSSB TGT / PGT previous year papers, each with the correct answer and explanation. Read them free on UTpaper, or attempt the full papers as timed online tests.

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Q1From DSSSB TGT Computer Science Full Mock Test 5
A can do 1/3 of a work in 5 days and B can do 2/5 of the work in 10 days. In how many days can A and B together complete the work?
  1. A10 days
  2. B9 3/8 days
  3. C9 days
  4. D8 2/3 days
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Correct answer: (B) 9 3/8 days

Q2From DSSSB TGT Computer Science Full Mock Test 5
A pipe can fill a tank in 6 hours. Due to a leak at the bottom, it takes 8 hours to fill the tank. The leak alone can empty the full tank in:
  1. A24 hours
  2. B48 hours
  3. C12 hours
  4. D14 hours
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Correct answer: (A) 24 hours

Q3From DSSSB TGT Computer Science Full Mock Test 4
A is twice as efficient as B. Together they can finish a work in 18 days. A alone can finish it in:
  1. A27 days
  2. B24 days
  3. C36 days
  4. D54 days
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Correct answer: (A) 27 days

Q4From DSSSB TGT Computer Science Full Mock Test 3
12 men or 18 women can complete a piece of work in 14 days. In how many days will 8 men and 16 women complete it?
  1. A9 days
  2. B12 days
  3. C8 days
  4. D10 days
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Correct answer: (A) 9 days

Q5From DSSSB TGT Computer Science Full Mock Test 3
Two pipes can fill a tank in 20 minutes and 30 minutes respectively. An outlet pipe can empty the full tank in 15 minutes. If all three are opened together when the tank is empty, the tank will be filled in:
  1. A75 min
  2. B60 min
  3. C40 min
  4. D45 min
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Correct answer: (B) 60 min

Q6From DSSSB TGT Computer Science Full Mock Test 2
A and B can do a work in 12 days, B and C in 15 days, and C and A in 20 days. In how many days can A, B and C together finish it?
  1. A8 days
  2. B10 days
  3. C9 days
  4. D12 days
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Correct answer: (B) 10 days

Q7From DSSSB TGT Computer Science Full Mock Test 1
A can do a piece of work in 15 days and B in 20 days. They work together for 4 days and then A leaves. In how many days will B finish the remaining work?
  1. A9 1/3 days
  2. B10 days
  3. C10 2/3 days
  4. D11 1/3 days
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Correct answer: (C) 10 2/3 days

Q8From DSSSB TGT Computer Science Full Mock Test 1
Pipes A and B can fill a tank in 12 hours and 15 hours respectively, while pipe C can empty the full tank in 20 hours. If all three pipes are opened together, the tank will be filled in:
  1. A8 hours
  2. B9 hours
  3. C12 hours
  4. D10 hours
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Correct answer: (D) 10 hours

Q9DSSSB TGT Computer Science, 7 Feb 2024, Shift 2 (12:30 PM)
X and Y together can complete a work in 60 days. Y and Z together can complete the same work in 90 days. If X, Y and Z all work together, then the same work gets completed in 45 days. How many days will X and Z together take to complete the same work?
  1. A120 days
  2. B90 days
  3. C60 days
  4. D150 days
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Correct answer: (C) 60 days

Explanation

X = (X+Y+Z) − (Y+Z) = 1/45 − 1/90 = 1/90; Z = 1/45 − 1/60 = 1/180. X + Z = 1/90 + 1/180 = 1/60, so 60 days.

How to use these DSSSB TGT / PGT Mathematics questions

Every question here was asked in a real DSSSB TGT / PGT paper; the paper and shift are shown on the card, and the number opens the question on its own page. Try each one before tapping Show answer, then attempt the full DSSSB TGT / PGT papers as timed tests to check your speed under exam conditions.

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