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Quant – Time & Work – Set 4
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, B and C individually can do a work in 10 days,12 days and 15 days respectively. If they start working together, then the number of days required to finish the work is :
- A. 16 days
- B. 2 days
- C. 8 days
- D. 4 days
Show answer and explanation
Answer: D. 4 days
1/10 + 1/12 + 1/15 = (6 + 5 + 4)/60 = 1/4 a day, so 4 days.
- A and B can do a piece of work in 36 days, B and C can do it in 60 days, A and C can do it in 45 days. C alone can do it in :
- A. 90 days
- B. 180 days
- C. 120 days
- D. 150 days
Show answer and explanation
Answer: B. 180 days
Work = 180 units: A + B = 5, B + C = 3, A + C = 4. Sum = 12, so A + B + C = 6. C = 6 - 5 = 1 a day, so C takes 180 days.
- A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days, A can finish the remaining work in :
- A. 11 days
- B. 7 days
- C. 3 days
- D. 5 days
Show answer and explanation
Answer: D. 5 days
Work = 60 units; A does 3 and B does 5 a day. B in 9 days does 45. Remaining 15 at 3 a day = 5 days.
- A can do 1/6 of a work in 5 days and B can do 2/5 of the work in 8 days. In how many days can both A and B together do the work?
- A. 20 days
- B. 15 days
- C. 13 days
- D. 12 days
Show answer and explanation
Answer: D. 12 days
A does 1/6 in 5 days, so A takes 30 days. B does 2/5 in 8 days, so B takes 20 days. Together 1/30 + 1/20 = 1/12, so 12 days.
- A and B can do a job together in 12 days. A is 2 times as efficient as B. In how many days can B alone complete the work ?
- A. 36 days
- B. 18 days
- C. 9 days
- D. 12 days
Show answer and explanation
Answer: A. 36 days
A is twice as efficient as B, so together they do 3 parts a day. 3B = 1/12 gives B = 1/36. B takes 36 days.
- Two men undertake a job for Rs.960. They can complete it in 16 days and 24 days respectively. They work along with a third man and take 8 days to complete it. Then the share of the third man should be :
- A. Rs. 165
- B. Rs. 150
- C. Rs. 155
- D. Rs. 160
Show answer and explanation
Answer: D. Rs. 160
Work = 48 units; the two men do 3 and 2 a day, so 8 days of them = 40 units. Third man did 8 units = 1/6 of the work, so he gets 960/6 = Rs 160.
- Dinesh and Rakesh are working on an Assignment, Dinesh takes 6 hours to type 32 pages on a computer, while Rakesh takes 5 hours to type 40 pages. How much time will they take working together on two different computers to type an assignment of 110 page ?
- A. 8 hrs,
- B. 8 hrs, 25 min.
- C. 7 hrs, 30 min.
- D. 8 hrs, 15 min
Show answer and explanation
Answer: D. 8 hrs, 15 min
Dinesh types 32/6 = 16/3 pages an hour; Rakesh types 40/5 = 8. Together 40/3 pages an hour. 110 / (40/3) = 8.25 hours = 8 hrs 15 min.
- A can do a piece of work in 8 days which B can destroy in 3 days. A has worked for 6 days, during the last 2 days of which B has been destroying. How many days must A now work alone to complete the work ?
- A. 7 1/3 days
- B. 7 2/3 days
- C. 7 days
- D. 8 days
Show answer and explanation
Answer: A. 7 1/3 days
A does 1/8 a day and B destroys 1/3 a day. A works 4 days normally = 1/2. In the last 2 days: A adds 2/8 and B destroys 2/3, a net change of -5/12. So 1/12 is done and 11/12 is left. Time = (11/12) × 8 = 7 1/3 days.
- A and B together can do a piece of work in 12 days which B and C together do in 16 days.If A works for 5 days, B works for 7 days then C completes the remaining work in 13 days. In how much time B alone does the whole work.
- A. 24 days
- B. 12 days
- C. 16 days
- D. 48 days
Show answer and explanation
Answer: D. 48 days
Work = 48 units: A + B = 4, B + C = 3. Then 5A + 7B + 13C = 48 with A = 4 - B and C = 3 - B gives 59 - 11B = 48, so B = 1. B alone takes 48 days.
- A and B together can complete a job in 8 days. Both B and C, working alone can finish the same job in 12 days. A and B commence work on the job, and work for 4 days, whereupon A leaves. B continues for 2 more days, and then he leaves too. C now starts working, and finishes the job. How many days will C require ?
- A. 3
- B. 4
- C. 5
- D. 8
Show answer and explanation
Answer: B. 4
A + B = 1/8 and B = C = 1/12, so A = 1/24. In 4 days A + B do 1/2; B alone in 2 days does 1/6. Remaining 1/3 at 1/12 a day = 4 days for C.