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Quant – Time & Work – Set 10
Read the following instructions carefully
- The test contains 10 questions.
- Each question has 4 options, of which only one is correct.
- You have to finish the test in 8 minutes.
- You are awarded 1 mark for each correct answer, and 0.25 marks are deducted for each wrong answer.
- There is no negative marking for questions you do not attempt.
- You may pause the test at any time and resume where you left off.
- Your marks, the correct answers and an explanation for every question are shown as soon as you submit.
- You can take this test as many times as you like. A fresh set is drawn each time you reload the page.
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Review this set's questions and answers (opens after you submit the test)
This free practice set from AndamanJobs has 10 questions to be solved in 8 minutes. Every question is listed below with four options. Open Show answer and explanation under a question to see the correct option and why it is correct. Try the timed test above first, then use this list to revise the questions you got wrong.
- 24 men can finish a work in 20 days. How many days will 40 men take to finish the same work?
- A. 18 days
- B. 6 days
- C. 14 days
- D. 12 days
Show answer and explanation
Answer: D. 12 days
Total work = 24 × 20 = 480 man-days. 40 men take 480/40 = 12 days.
- A can do a piece of work in 15 days and B in 10 days. They work together and are paid Rs 1200 in all. What is A's share?
- A. Rs 384
- B. Rs 480
- C. Rs 576
- D. Rs 528
Show answer and explanation
Answer: B. Rs 480
Work rates are 1/15 : 1/10 = 10 : 15, and wages are shared in that ratio. A's share = 1200 × 10/(15+10) = Rs 480.
- A, B and C can do a work alone in 15, 30 and 10 days respectively. In how many days will they finish it working together?
- A. 7 days
- B. 5 days
- C. 3 days
- D. 8 days
Show answer and explanation
Answer: B. 5 days
One day's work = 1/15 + 1/30 + 1/10 = 1/5. Time = 5 days.
- A and B can do a work in 16 days and 24 days respectively. They work on alternate days, starting with A. In how many days is the work finished?
- A. 25 days
- B. 19 days
- C. 23 days
- D. 21 days
Show answer and explanation
Answer: B. 19 days
In 2 days (A then B) they do 5/48. After 9 such pairs (18 days) the work done is 15/16. A finishes the remaining 1/16 in 1 day(s). Total = 19 days.
- A can finish a work in 24 days. He works for 10 days and leaves. What fraction of the work remains?
- A. 7/12
- B. 5/8
- C. 11/24
- D. 13/24
Show answer and explanation
Answer: A. 7/12
Work done = 10/24 = 5/12. Remaining = 1 - 5/12 = 7/12.
- 10 men or 20 women can finish a job in 20 days. In how many days can 3 men and 2 women together finish it?
- A. 54 days
- B. 46 days
- C. 48 days
- D. 50 days
Show answer and explanation
Answer: D. 50 days
10 men = 20 women, so 1 man = 2 women. 3 men + 2 women = 8 women. Total work = 20 × 20 = 400 woman-days, so 8 women take 400/8 = 50 days.
- A and B can do a job in 10 days, B and C in 15 days, and C and A in 30 days. In how many days can all three together do it?
- A. 10 days
- B. 7 days
- C. 11 days
- D. 9 days
Show answer and explanation
Answer: A. 10 days
Adding: 2(A + B + C) = 1/10 + 1/15 + 1/30 = 1/5. So A + B + C = 1/10 a day, and the time = 10 days.
- A alone can do a piece of work in 45 days. A and B together can do it in 30 days. In how many days can B alone do it?
- A. 88 days
- B. 84 days
- C. 92 days
- D. 90 days
Show answer and explanation
Answer: D. 90 days
B's one day = 1/30 - 1/45 = 1/90. B alone takes 90 days.
- A and B can do a work in 10 and 15 days respectively. They work together for 5 days and then A leaves. In how many more days will B finish the remaining work?
- A. 2 1/2 days
- B. 6 1/2 days
- C. 1/2 days
- D. 4 1/2 days
Show answer and explanation
Answer: A. 2 1/2 days
Work done in 5 days = 5 × 1/6 = 5/6. Remaining = 1/6. B takes 1/6 × 15 = 2 1/2 days.
- 24 men can finish a work in 20 days. How many days will 20 men take to finish the same work?
- A. 26 days
- B. 20 days
- C. 24 days
- D. 28 days
Show answer and explanation
Answer: C. 24 days
Total work = 24 × 20 = 480 man-days. 20 men take 480/20 = 24 days.