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NIC UIIC AO Time & Work Questions with Answers & Explanations

17 Time & Work questions from the Quantitative Aptitude section of NIC UIIC AO, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

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Question 1

A can complete a work in 6 days and B can complete it in 12 days. In how many days can they complete it working together?

  1. A3 days
  2. B6 days
  3. C8 days
  4. D9 days
  5. E4 days
Show answer
Answer: (E) 4 days Together they do 1/6 + 1/12 = 1/4 of the work per day, so 4 days.
Question 2

A can complete a work in 20 days and B can complete it in 30 days. In how many days can they complete it working together?

  1. A12 days
  2. B16 days
  3. C11 days
  4. D25 days
  5. E14 days
Show answer
Answer: (A) 12 days Together they do 1/20 + 1/30 = 1/12 of the work per day, so 12 days.
Question 3

A can complete a work in 12 days and B can complete it in 24 days. In how many days can they complete it working together?

  1. A10 days
  2. B8 days
  3. C18 days
  4. D12 days
  5. E7 days
Show answer
Answer: (B) 8 days Together they do 1/12 + 1/24 = 1/8 of the work per day, so 8 days.
Question 4

A can complete a work in 10 days and B can complete it in 40 days. In how many days can they complete it working together?

  1. A12 days
  2. B10 days
  3. C7 days
  4. D8 days
  5. E25 days
Show answer
Answer: (D) 8 days Together they do 1/10 + 1/40 = 1/8 of the work per day, so 8 days.
Question 5

A can complete a work in 21 days and B can complete it in 42 days. In how many days can they complete it working together?

  1. A13 days
  2. B18 days
  3. C16 days
  4. D14 days
  5. E31.5 days
Show answer
Answer: (D) 14 days Together they do 1/21 + 1/42 = 1/14 of the work per day, so 14 days.
Question 6

A can complete a work in 18 days and B can complete it in 36 days. In how many days can they complete it working together?

  1. A12 days
  2. B16 days
  3. C14 days
  4. D11 days
  5. E27 days
Show answer
Answer: (A) 12 days Together they do 1/18 + 1/36 = 1/12 of the work per day, so 12 days.
Question 7

A can complete a work in 10 days and B can complete it in 15 days. In how many days can they complete it working together?

  1. A5 days
  2. B10 days
  3. C12.5 days
  4. D8 days
  5. E6 days
Show answer
Answer: (E) 6 days Together they do 1/10 + 1/15 = 1/6 of the work per day, so 6 days.
Question 8

A can complete a work in 20 days and B can complete it in 80 days. In how many days can they complete it working together?

  1. A20 days
  2. B18 days
  3. C16 days
  4. D50 days
  5. E15 days
Show answer
Answer: (C) 16 days Together they do 1/20 + 1/80 = 1/16 of the work per day, so 16 days.
Question 9

A can complete a work in 30 days and B can complete it in 60 days. In how many days can they complete it working together?

  1. A45 days
  2. B20 days
  3. C24 days
  4. D22 days
  5. E19 days
Show answer
Answer: (B) 20 days Together they do 1/30 + 1/60 = 1/20 of the work per day, so 20 days.
Question 10

A can complete a work in 15 days and B can complete it in 30 days. In how many days can they complete it working together?

  1. A10 days
  2. B12 days
  3. C22.5 days
  4. D14 days
  5. E9 days
Show answer
Answer: (A) 10 days Together they do 1/15 + 1/30 = 1/10 of the work per day, so 10 days.

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Question 11

A can complete a work in 24 days and B can complete it in 40 days. In how many days can they complete it working together?

  1. A19 days
  2. B32 days
  3. C15 days
  4. D17 days
  5. E14 days
Show answer
Answer: (C) 15 days Together they do 1/24 + 1/40 = 1/15 of the work per day, so 15 days.
Question 12

A can complete a work in 40 days and B can complete it in 60 days. In how many days can they complete it working together?

  1. A26 days
  2. B50 days
  3. C23 days
  4. D24 days
  5. E28 days
Show answer
Answer: (D) 24 days Together they do 1/40 + 1/60 = 1/24 of the work per day, so 24 days.
Question 13

A can complete a work in 12 days and B can complete it in 36 days. In how many days can they complete it working together?

  1. A13 days
  2. B11 days
  3. C8 days
  4. D24 days
  5. E9 days
Show answer
Answer: (E) 9 days Together they do 1/12 + 1/36 = 1/9 of the work per day, so 9 days.
Question 14

A can complete a work in 14 days and B can complete it in 35 days. In how many days can they complete it working together?

  1. A9 days
  2. B14 days
  3. C10 days
  4. D24.5 days
  5. E12 days
Show answer
Answer: (C) 10 days Together they do 1/14 + 1/35 = 1/10 of the work per day, so 10 days.
Question 15

A can complete a work in 6 days and B can complete it in 12 days. In how many days can they complete it working together?

  1. A4 days
  2. B3 days
  3. C8 days
  4. D9 days
  5. E6 days
Show answer
Answer: (A) 4 days Together they do 1/6 + 1/12 = 1/4 of the work per day, so 4 days.
Question 16

A can complete a work in 18 days and B can complete it in 36 days. In how many days can they complete it working together?

  1. A14 days
  2. B27 days
  3. C16 days
  4. D11 days
  5. E12 days
Show answer
Answer: (E) 12 days Together they do 1/18 + 1/36 = 1/12 of the work per day, so 12 days.
Question 17

A can complete a work in 12 days and B can complete it in 24 days. In how many days can they complete it working together?

  1. A8 days
  2. B12 days
  3. C7 days
  4. D10 days
  5. E18 days
Show answer
Answer: (A) 8 days Together they do 1/12 + 1/24 = 1/8 of the work per day, so 8 days.

These are RankerClub practice questions written in the NIC UIIC AO pattern. They are not official SSC/IBPS/RRB papers.

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