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Quant – Time & Work – Set 3
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.
- 2 men and a woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets ₹600 per day, how much should a woman get per day ?
- A. Rs. 360
- B. Rs. 400
- C. Rs. 480
- D. Rs. 450
Show answer and explanation
Answer: B. Rs. 400
(2M + W) × 14 = (2M + 4W) × 8 gives 28M + 14W = 16M + 32W, so M = 1.5 W. Wages go with work, so a woman gets 600 / 1.5 = Rs 400.
- If two persons, with equal abilities, can do two jobs in two days then 100 persons with equal abilities can do 100 similar jobs in :
- A. 100 days
- B. 2 days
- C. 10 days
- D. 5 days
Show answer and explanation
Answer: B. 2 days
2 persons do 2 jobs in 2 days, so 1 person does 1 job in 2 days. 100 persons do 100 jobs in 2 days.
- A can complete a piece of work in 18 days, B completes in 20 days and C in 30 days, B and C together start the work and are forced to leave after 2 days. The time taken by A alone to complete the remaining work is :
- A. 10 days
- B. 15 days
- C. 12 days
- D. 16 days
Show answer and explanation
Answer: B. 15 days
Work = 180 units; A, B, C do 10, 9, 6 a day. B and C work 2 days = 30 units. Remaining 150 at 10 a day = 15 days.
- X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone completed the remaining work in 16 days. How long would X and Y together take to complete the work ?
- A. 15 days
- B. 14 days
- C. 16 2/3 days
- D. 13 1/3 days
Show answer and explanation
Answer: D. 13 1/3 days
X does 8/40 = 1/5, so Y did 4/5 in 16 days, which means Y takes 20 days. Together 1/40 + 1/20 = 3/40 a day, so 40/3 = 13 1/3 days.
- 20 men or 24 women can complete a piece of work in 20 days. If 30 men and 12 women under take to complete the work, the work will be completed in :
- A. 15 days
- B. 16 days
- C. 10 days
- D. 12 days
Show answer and explanation
Answer: C. 10 days
20 men = 24 women, so 1 man = 1.2 women. 30 men + 12 women = 36 + 12 = 48 women. 24 women take 20 days, so 48 women take 10 days.
- 6 men and 8 women can do work in 10 days. Then 3 men and 4 women can do the same work in :
- A. 12 days
- B. 18 days
- C. 20 days
- D. 24 days
Show answer and explanation
Answer: C. 20 days
3 men and 4 women are half of 6 men and 8 women, so they take double the time = 20 days.
- 2 men and 3 women can do a piece of work in 10 days while 3 men and 2 women can do the same work in 8 days. Then, 2 men and 1 woman can do the same work in :
- A. 12 1/2 days
- B. 13 days
- C. 12 days
- D. 13 1/2 days
Show answer and explanation
Answer: A. 12 1/2 days
(2M + 3W) × 10 = (3M + 2W) × 8 gives M = 3.5 W. Total work = 10 × (7 + 3) = 100 W-days. 2 men + 1 woman = 8 W, so 100/8 = 12 1/2 days.
- A can do a work in 5 days less than the time taken by B. If both together take 11 1/9 days, the time taken by B alone (in days) is:
- A. 20
- B. 15
- C. 30
- D. 25
Show answer and explanation
Answer: D. 25
Together they take 100/9 days, so 1/(x - 5) + 1/x = 9/100. Try x = 25: 1/20 + 1/25 = 9/100. B alone takes 25 days.
- 5 men and 2 women working together can do four times as much work per hour as a man and a woman together. The work done by a man and a woman should be in the ratio :
- A. 1 : 2
- B. 1 : 3
- C. 2 : 1
- D. 4 : 1
Show answer and explanation
Answer: C. 2 : 1
5M + 2W = 4(M + W) gives M = 2W. Man : woman = 2 : 1.
- If the work done by (x – 1) men in (x +1) days and the work done by (x + 2) men in (x – 1) days are in the ratio 9 : 10, then the value of x is equal to :
- A. 7
- B. 8
- C. 6
- D. 5
Show answer and explanation
Answer: B. 8
Work ∝ men × days: (x - 1)(x + 1) : (x + 2)(x - 1) = 9 : 10, so (x + 1)/(x + 2) = 9/10. 10x + 10 = 9x + 18, so x = 8.