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Quant – Time & Work – Set 1
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 can complete a work in 10,12 and 15 days respectively. They started the work together. But A left the work before 5 days of its completion. B also left work 2 days after A left. In how many days was the work completed ?
- A. 5 days
- B. 4 days
- C. 7 days
- D. 8 days
Show answer and explanation
Answer: C. 7 days
Let the work be 60 units. A, B, C do 6, 5, 4 units a day. If it ends on day T, all three work T - 5 days, then B and C work 2 days and C works the last 3 days. 15(T - 5) + 9 × 2 + 4 × 3 = 60, so T = 7 days.
- If 10 men or 20 boys can make 260 mats in 20 days, then how many mats will be made by 8 men and 4 boys in 20 days ?
- A. 260
- B. 520
- C. 280
- D. 240
Show answer and explanation
Answer: A. 260
10 men = 20 boys, so 1 man = 2 boys. 8 men + 4 boys = 10 men. 10 men make 260 mats in 20 days, so the answer is 260.
- A particular job can be completed by a team of 10 men in 12 days, The same job can be completed by a team of 10 women in 6 days. How many days are needed to complete the job if the two teams work together ?
- A. 9 days
- B. 18 days
- C. 6 days
- D. 4 days
Show answer and explanation
Answer: D. 4 days
10 men do 1/12 a day and 10 women do 1/6 a day. Together 1/12 + 1/6 = 1/4 a day, so 4 days.
- The average wage of 500 workers was found to be ₹200. Later on , it was discovered that the wages of two workers were misread as 180 and 20 instead of 80 and 220. The correct average wage is :
- A. Rs. 200.20
- B. Rs. 200.50
- C. Rs. 201.00
- D. Rs. 200.10
Show answer and explanation
Answer: A. Rs. 200.20
The total wage changes by (80 + 220) - (180 + 20) = +100. Average rises by 100/500 = 0.20, so the correct average is Rs 200.20.
- A contractor undertakes to make a road in 40 days and employs 25 men. After 24 days, he finds that only one-third of the road is made. How many extra men should he employ so that he is able to complete the work 4 days earlier ?
- A. 100
- B. 75
- C. 60
- D. None of these
Show answer and explanation
Answer: B. 75
24 days × 25 men = 600 man-days gave 1/3 of the road, so the whole road needs 1,800. Remaining 1,200 man-days must be done in 40 - 4 - 24 = 12 days, which needs 100 men. Extra men = 100 - 25 = 75.
- A can finish a work in 18 days and B can do the same work in half the time taken by A. Then working together, what part of the same work can they finish in a day ?
- A. 1/6
- B. 2/7
- C. 2/5
- D. 1/9
Show answer and explanation
Answer: A. 1/6
A does 1/18 a day and B (half the time, 9 days) does 1/9 a day. Together 1/18 + 2/18 = 3/18 = 1/6 of the work a day.
- A and B can do a piece of work in 28 and 35 days respectively. They began to work together but A left after sometime and B completed the remaining work in 17 days. After how many days did A leave ?
- A. 8 days
- B. 9 days
- C. 7 days
- D. 14 days
Show answer and explanation
Answer: A. 8 days
Work = 140 units; A does 5 and B does 4 a day. B alone did 17 × 4 = 68, so together they did 72 units at 9 a day = 8 days. A left after 8 days.
- If 72 men can build a wall of 280 m length in 21 days, how many men could take 18 days to build a similar type of wall of length 100 m ?
- A. 10
- B. 18
- C. 28
- D. 30
Show answer and explanation
Answer: D. 30
Man-days per metre = 72 × 21 / 280 = 5.4. For 100 m we need 540 man-days; in 18 days that is 540/18 = 30 men.
- A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do the work in :
- A. 30 days
- B. 20 days
- C. 15 days
- D. 25 days
Show answer and explanation
Answer: D. 25 days
A = B + C in rate, and A + B = 1/10, C = 1/50. So 2B + 1/50 = 1/10, giving B = 1/25. B alone takes 25 days.
- A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days, B had to leave and A alone completed the remaining work. The whole work was completed in :
- A. 15 days
- B. 8 days
- C. 12 days
- D. 10 days
Show answer and explanation
Answer: C. 12 days
Work = 30 units; A does 2 and B does 3 a day. In 2 days they do 10 units. Remaining 20 at 2 a day = 10 days. Total = 2 + 10 = 12 days.