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Quant – Time & Work – Set 8
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 and B can do a work in 8 days and 24 days respectively. They work on alternate days, starting with A. In how many days is the work finished?
- A. 18 days
- B. 12 days
- C. 10 days
- D. 16 days
Show answer and explanation
Answer: B. 12 days
In 2 days (A then B) they do 1/6. After 5 such pairs (10 days) the work done is 5/6. A works one more day, then B finishes the remaining 1/24 in 1 day(s). Total = 12 days.
- A can finish a work in 18 days. He works for 8 days and leaves. What fraction of the work remains?
- A. 7/18
- B. 2/3
- C. 5/9
- D. 1/2
Show answer and explanation
Answer: C. 5/9
Work done = 8/18 = 4/9. Remaining = 1 - 4/9 = 5/9.
- A and B can do a job in 12 days, B and C in 16 days, and C and A in 24 days. In how many days can all three together do it?
- A. 11 2/3 days
- B. 8 2/3 days
- C. 7 2/3 days
- D. 10 2/3 days
Show answer and explanation
Answer: D. 10 2/3 days
Adding: 2(A + B + C) = 1/12 + 1/16 + 1/24 = 3/16. So A + B + C = 3/32 a day, and the time = 10 2/3 days.
- A can do a piece of work in 10 days and B can do it in 15 days. In how many days can they finish it together?
- A. 9 days
- B. 5 days
- C. 7 days
- D. 6 days
Show answer and explanation
Answer: D. 6 days
One day's work = 1/10 + 1/15 = 1/6. Time = 6 days.
- A alone can do a piece of work in 60 days. A and B together can do it in 40 days. In how many days can B alone do it?
- A. 122 days
- B. 116 days
- C. 124 days
- D. 120 days
Show answer and explanation
Answer: D. 120 days
B's one day = 1/40 - 1/60 = 1/120. B alone takes 120 days.
- A and B can do a work in 16 and 48 days respectively. They work together for 2 days and then A leaves. In how many more days will B finish the remaining work?
- A. 40 days
- B. 34 days
- C. 42 days
- D. 36 days
Show answer and explanation
Answer: A. 40 days
Work done in 2 days = 2 × 1/12 = 1/6. Remaining = 5/6. B takes 5/6 × 48 = 40 days.
- 20 men can finish a work in 12 days. How many days will 15 men take to finish the same work?
- A. 14 days
- B. 20 days
- C. 22 days
- D. 16 days
Show answer and explanation
Answer: D. 16 days
Total work = 20 × 12 = 240 man-days. 15 men take 240/15 = 16 days.
- A can do a piece of work in 6 days and B in 3 days. They work together and are paid Rs 1200 in all. What is A's share?
- A. Rs 360
- B. Rs 480
- C. Rs 400
- D. Rs 520
Show answer and explanation
Answer: C. Rs 400
Work rates are 1/6 : 1/3 = 3 : 6, and wages are shared in that ratio. A's share = 1200 × 3/(6+3) = Rs 400.
- A, B and C can do a work alone in 9, 18 and 18 days respectively. In how many days will they finish it working together?
- A. 4 1/2 days
- B. 3 1/2 days
- C. 6 1/2 days
- D. 1 1/2 days
Show answer and explanation
Answer: A. 4 1/2 days
One day's work = 1/9 + 1/18 + 1/18 = 2/9. Time = 4 1/2 days.
- A and B can do a work in 10 days and 15 days respectively. They work on alternate days, starting with A. In how many days is the work finished?
- A. 12 days
- B. 16 days
- C. 18 days
- D. 8 days
Show answer and explanation
Answer: A. 12 days
In 2 days (A then B) they do 1/6. After 5 such pairs (10 days) the work done is 5/6. A works one more day, then B finishes the remaining 1/15 in 1 day(s). Total = 12 days.
