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Quant – Time & Work – Set 5
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 man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the work in 10 and 24 days respectively. The days taken by a boy to finish the work is :
- A. 35 days
- B. 40 days
- C. 45 days
- D. 30 days
Show answer and explanation
Answer: B. 40 days
Boy's rate = 1/6 - 1/10 - 1/24 = (20 - 12 - 5)/120 = 1/40. The boy takes 40 days.
- 3 men and 7 women can do a job in 5 days, while 4 men and 6 women can do it in 4 days. The number of days required for a group of 10 women working together, at the same rate as before, to finish the same job is :
- A. 20 days
- B. 36 days
- C. 40 days
- D. 30 days
Show answer and explanation
Answer: A. 20 days
(3M + 7W) × 5 = (4M + 6W) × 4 gives M = 11W. Total work = 5 × (33 + 7) = 200 woman-days. 10 women take 200/10 = 20 days.
- A contractor undertook to finish a work in 92 days and employed 110 men. After 48 days, he found that he had already done 3/5 of the work. The number of men he can withdraw so that the work is still finished in time is:
- A. 40
- B. 30
- C. 45
- D. 35
Show answer and explanation
Answer: B. 30
110 men × 48 days = 5,280 man-days did 3/5 of the work, so the whole job is 8,800. Remaining 3,520 in 44 days needs 80 men. Men to withdraw = 110 - 80 = 30.
- A contractor undertook to finish a certain work in 124 days and employed 120 men. After 64 days, he found that he had already done 2/3 of the work. How many men can be discharged now so that the work finishes in time?
- A. 56
- B. 40
- C. 48
- D. 50
Show answer and explanation
Answer: A. 56
120 × 64 = 7,680 man-days did 2/3 of the work, so the whole job is 11,520. Remaining 3,840 in 60 days needs 64 men. Discharge 120 - 64 = 56.
- A can do a piece of work in 12 days while B alone can do it in 15 days. With the help of C they can finish it in 5 days. If they are paid Rs.960 for the whole work. How much money A gets?
- A. Rs. 320
- B. Rs. 400
- C. Rs. 240
- D. Rs. 480
Show answer and explanation
Answer: B. Rs. 400
Work = 60 units; A does 5 and B does 4 a day. All three do 12 a day, so C does 3. A's share = 5/12 × 960 = Rs 400.
- Three persons undertake to complete a piece of work for Rs.1200. The first person can complete the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get ?
- A. Rs. 225
- B. Rs. 250
- C. Rs. 200
- D. Rs. 180
Show answer and explanation
Answer: A. Rs. 225
Work = 48 units; the three do 6, 4, 3 = 13 a day. All four do 48/3 = 16 a day, so the fourth does 3. Share = 3/16 × 1,200 = Rs 225.
- A skilled, a half-skilled and an unskilled labourer work for 7, 8 and 10 days respectively and together get Rs 369. If the ratio of their daily work is 1/3 : 1/4 : 1/6, how much does the skilled labourer get (in Rs)?
- A. 102.50
- B. 164
- C. 143.50
- D. 201.50
Show answer and explanation
Answer: C. 143.50
Daily work ratio 1/3 : 1/4 : 1/6 = 4 : 3 : 2. Pay ratio = 4 × 7 : 3 × 8 : 2 × 10 = 28 : 24 : 20. Skilled gets 28/72 × 369 = Rs 143.50.
- Three men A, B and C working together can do a job in 6 hours less time than A alone, in 1 hour less time than B alone and in one half the time needed by C when working alone. Then A and B together can do the job in :
- A. 1/3 hour
- B. 2/3 hour
- C. 3/2 hours
- D. 4/3 hours
Show answer and explanation
Answer: D. 4/3 hours
Let all three take t hours: A = t + 6, B = t + 1, C = 2t. 1/(t+6) + 1/(t+1) = 1/(2t) gives 3t² + 7t - 6 = 0, so t = 2/3. A = 20/3 and B = 5/3, so A + B do 3/20 + 3/5 = 3/4 an hour. Time = 4/3 hour.
- A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is :
- A. 90
- B. 100
- C. 95
- D. 96
Show answer and explanation
Answer: D. 96
A takes 3 times as long as B + C, so A does 1/4 of the total rate. Total rate = 1/24, so A = 1/96. A takes 96 days.
- 16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will they take to complete the remaining work ?
- A. 10
- B. 8
- C. 6
- D. 4
Show answer and explanation
Answer: C. 6
16 women × 12 = 192 woman-days = 12 men × 8 = 96 man-days, so 1 man = 2 women. 16 men = 32 women work 3 days = 96. Left 96. Now 6 men + 4 women = 16 women, so 96/16 = 6 days.