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Quant – Time & Work – Set 2
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 piece of work in 20 days and 12 days respectively. A started the work alone and then after 4 days B joined him till the completion of the work. How long did the work last ?
- A. 15 days
- B. 20 days
- C. 6 days
- D. 10 days
Show answer and explanation
Answer: D. 10 days
Work = 60 units; A does 3 and B does 5 a day. A alone in 4 days does 12. Remaining 48 at 8 a day = 6 days. Total = 4 + 6 = 10 days.
- 5 persons can prepare an admission list in 8 days working 7 hours a day. If 2 persons join them so as to complete the work in 4 days, how many hours they need to work :
- A. 10 hours
- B. 9 hours
- C. 12 hours
- D. 8 hours
Show answer and explanation
Answer: A. 10 hours
Total work = 5 × 8 × 7 = 280 man-hours. With 7 persons in 4 days, hours per day = 280 / (7 × 4) = 10.
- A and B together can do a work in 8 days, B and C together in 10 days, while C and A together in 6 days, if they all work together the work will be completed in :
- A. 3 3/4 days
- B. 3 3/7 days
- C. 4 4/9 days
- D. 5 5/47 days
Show answer and explanation
Answer: D. 5 5/47 days
A + B = 1/8, B + C = 1/10, C + A = 1/6. Adding, 2(A + B + C) = 47/120, so A + B + C = 47/240 a day. Time = 240/47 = 5 5/47 days.
- A man and a boy can complete a work together in 24 days. If for the last six days a boy alone does the work then it is completed in 28 days. How long will the man take to complete the work alone ?
- A. 36 days
- B. 24 days
- C. 20 days
- D. 72 days
Show answer and explanation
Answer: A. 36 days
Man and boy together work for 22 days, then the boy alone 6 days. 22/24 + 6/boy = 1, so the boy takes 72 days. Man's rate = 1/24 - 1/72 = 1/36. The man takes 36 days.
- A and B together can complete a work in 8 days, B alone can complete that work in 12 days. B alone worked for four days. After that how long will A alone take to complete the work ?
- A. 18 days
- B. 16 days
- C. 15 days
- D. 20 days
Show answer and explanation
Answer: B. 16 days
A's rate = 1/8 - 1/12 = 1/24. B alone in 4 days did 4/12 = 1/3, so 2/3 is left. A takes 2/3 × 24 = 16 days.
- Two persons can complete a piece of work in 9 days. How many more people are needed to complete double the work in 12 days ?
- A. 2
- B. 1
- C. 4
- D. 3
Show answer and explanation
Answer: B. 1
2 persons × 9 days = 18 person-days for one work. Double work = 36 person-days in 12 days needs 3 persons. So 1 more person is needed.
- A labourer was appointed by a contractor on the condition he would be paid ₹75 for each day of his work but would be fined at the rate of ₹15 per day for his absence. After 20 days, the contractor paid the labourer ₹1140. The number of days the labourer absented from work was :
- A. 4
- B. 3
- C. 5
- D. 2
Show answer and explanation
Answer: A. 4
If he was absent x days: 75(20 - x) - 15x = 1,140. 1,500 - 90x = 1,140, so x = 4.
- 60 men could complete a work in 250 days. They worked together for 200 days. After that the work had to be stopped for 10 days due to bad weather. How many more men should be engaged to complete the work in time ?
- A. 10
- B. 18
- C. 20
- D. 15
Show answer and explanation
Answer: D. 15
After 200 days, 1/5 of the work is left, which is 60 men × 50 days of work. Time left = 250 - 200 - 10 = 40 days. Men needed = 60 × 50 / 40 = 75, so 15 more.
- A and B alone can complete work in 9 days and 18 days respectively. They worked together, however, 3 days before the completion of the work A left. In how many days was the work completed ?
- A. 13 days
- B. 5 days
- C. 8 days
- D. 6 days
Show answer and explanation
Answer: C. 8 days
Work = 18 units; A does 2 and B does 1 a day. Last 3 days B alone does 3. Remaining 15 at 3 a day = 5 days. Total = 5 + 3 = 8 days.
- A 10 hectare field is harvested by 2 men, 3 women and 4 children together in 10 days. If working capabilities of a man , a woman and a child are in the ratio 5 : 4 : 2, then a 16 hectare field will be reaped by 6 men, 4 women and 7 children in :
- A. 6 days
- B. 5 days
- C. 7 days
- D. 8 days
Show answer and explanation
Answer: D. 8 days
Units per day: 2 × 5 + 3 × 4 + 4 × 2 = 30. In 10 days = 300 units for 10 ha, so 30 units per hectare. 16 ha = 480 units. Second team does 6 × 5 + 4 × 4 + 7 × 2 = 60 a day, so 480/60 = 8 days.