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Quant – Time & Work – Set 9
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.
- A can finish a work in 24 days. He works for 6 days and leaves. What fraction of the work remains?
- A. 3/4
- B. 19/24
- C. 5/6
- D. 7/8
Show answer and explanation
Answer: A. 3/4
Work done = 6/24 = 1/4. Remaining = 1 - 1/4 = 3/4.
- A and B can do a job in 20 days, B and C in 30 days, and C and A in 60 days. In how many days can all three together do it?
- A. 19 days
- B. 23 days
- C. 20 days
- D. 21 days
Show answer and explanation
Answer: C. 20 days
Adding: 2(A + B + C) = 1/20 + 1/30 + 1/60 = 1/10. So A + B + C = 1/20 a day, and the time = 20 days.
- A can do a piece of work in 14 days and B can do it in 35 days. In how many days can they finish it together?
- A. 7 days
- B. 10 days
- C. 8 days
- D. 11 days
Show answer and explanation
Answer: B. 10 days
One day's work = 1/14 + 1/35 = 1/10. Time = 10 days.
- A and B can do a work in 12 and 24 days respectively. They work together for 6 days and then A leaves. In how many more days will B finish the remaining work?
- A. 2 days
- B. 8 days
- C. 4 days
- D. 6 days
Show answer and explanation
Answer: D. 6 days
Work done in 6 days = 6 × 1/8 = 3/4. Remaining = 1/4. B takes 1/4 × 24 = 6 days.
- 20 men can finish a work in 36 days. How many days will 10 men take to finish the same work?
- A. 72 days
- B. 68 days
- C. 78 days
- D. 76 days
Show answer and explanation
Answer: A. 72 days
Total work = 20 × 36 = 720 man-days. 10 men take 720/10 = 72 days.
- A can do a piece of work in 10 days and B in 15 days. They work together and are paid Rs 2400 in all. What is A's share?
- A. Rs 1584
- B. Rs 1440
- C. Rs 1728
- D. Rs 1296
Show answer and explanation
Answer: B. Rs 1440
Work rates are 1/10 : 1/15 = 15 : 10, and wages are shared in that ratio. A's share = 2400 × 15/(10+15) = Rs 1440.
- A can finish a work in 40 days. He works for 5 days and leaves. What fraction of the work remains?
- A. 4/5
- B. 17/20
- C. 33/40
- D. 7/8
Show answer and explanation
Answer: D. 7/8
Work done = 5/40 = 1/8. Remaining = 1 - 1/8 = 7/8.
- A can do a piece of work in 30 days and B can do it in 45 days. In how many days can they finish it together?
- A. 15 days
- B. 21 days
- C. 16 days
- D. 18 days
Show answer and explanation
Answer: D. 18 days
One day's work = 1/30 + 1/45 = 1/18. Time = 18 days.
- A alone can do a piece of work in 24 days. A and B together can do it in 16 days. In how many days can B alone do it?
- A. 54 days
- B. 44 days
- C. 48 days
- D. 50 days
Show answer and explanation
Answer: C. 48 days
B's one day = 1/16 - 1/24 = 1/48. B alone takes 48 days.
- A and B can do a work in 18 and 36 days respectively. They work together for 6 days and then A leaves. In how many more days will B finish the remaining work?
- A. 16 days
- B. 12 days
- C. 22 days
- D. 18 days
Show answer and explanation
Answer: D. 18 days
Work done in 6 days = 6 × 1/12 = 1/2. Remaining = 1/2. B takes 1/2 × 36 = 18 days.