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Quant – Time & Work – Set 6
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.
- P and Q together can do a job in 6 days. Q and R can finish the same job in 60/7 days. P started the work and worked for 3 days. Q and R continued for 6 days. Then the difference of days in which R and P can complete the job alone is :
- A. 8
- B. 12
- C. 10
- D. 15
Show answer and explanation
Answer: C. 10
Work = 60 units: P + Q = 10, Q + R = 7. P works 3 days and Q + R 6 days: 3P + 42 = 60, so P = 6, Q = 4, R = 3. P takes 10 days and R takes 20 days; difference = 10.
- If a man earns Rs.2000 for his first 50 hours of work in a week and is then paid one and one half times his regular hourly rate for additional hours, then the hours must he work to make Rs.2300 in a week is :
- A. 5 hours
- B. 6 hours
- C. 4 hours
- D. 7 hours
Show answer and explanation
Answer: A. 5 hours
Regular rate = 2,000/50 = Rs 40 an hour. Overtime rate = Rs 60. Extra Rs 300 / 60 = 5 hours.
- A company employed 200 workers to complete a certain work in 150 days. If only 1/4 of the work had been done in 50 days, how many additional workers were needed to complete the whole work in time?
- A. 300
- B. 600
- C. 200
- D. 100
Show answer and explanation
Answer: D. 100
200 × 50 = 10,000 man-days did 1/4, so the whole job is 40,000. Remaining 30,000 in 100 days needs 300 workers. Additional workers = 100.
- If 20 women can lay a road of length 100m in 10 days. 10 women can lay the same road of length 50m in :
- A. 20 days
- B. 5 days
- C. 15 days
- D. 10 days
Show answer and explanation
Answer: D. 10 days
Each woman lays 100/(20 × 10) = 0.5 m a day. 10 women lay 5 m a day, so 50 m takes 10 days.
- A can do a piece of work in 40 days and B can do it in 60 days. In how many days can they finish it together?
- A. 27 days
- B. 25 days
- C. 24 days
- D. 21 days
Show answer and explanation
Answer: C. 24 days
One day's work = 1/40 + 1/60 = 1/24. Time = 24 days.
- A alone can do a piece of work in 36 days. A and B together can do it in 24 days. In how many days can B alone do it?
- A. 70 days
- B. 66 days
- C. 72 days
- D. 76 days
Show answer and explanation
Answer: C. 72 days
B's one day = 1/24 - 1/36 = 1/72. B alone takes 72 days.
- A and B can do a work in 12 and 24 days respectively. They work together for 5 days and then A leaves. In how many more days will B finish the remaining work?
- A. 3 days
- B. 9 days
- C. 15 days
- D. 11 days
Show answer and explanation
Answer: B. 9 days
Work done in 5 days = 5 × 1/8 = 5/8. Remaining = 3/8. B takes 3/8 × 24 = 9 days.
- A is 2 times as efficient as B. Working together they finish a job in 8 days. In how many days can A alone finish it?
- A. 12 days
- B. 10 days
- C. 16 days
- D. 8 days
Show answer and explanation
Answer: A. 12 days
Together they do 3 parts a day, finishing 8 × 3 = 24 parts. A does 2 parts a day, so A takes 24/2 = 12 days.
- A can do a piece of work in 12 days and B in 4 days. They work together and are paid Rs 2400 in all. What is A's share?
- A. Rs 780
- B. Rs 720
- C. Rs 660
- D. Rs 600
Show answer and explanation
Answer: D. Rs 600
Work rates are 1/12 : 1/4 = 4 : 12, and wages are shared in that ratio. A's share = 2400 × 4/(12+4) = Rs 600.
- A, B and C can do a work alone in 6, 12 and 12 days respectively. In how many days will they finish it working together?
- A. 3 days
- B. 7 days
- C. 6 days
- D. 5 days
Show answer and explanation
Answer: A. 3 days
One day's work = 1/6 + 1/12 + 1/12 = 1/3. Time = 3 days.