SSC CGL Time and Work Practice Test 3
15 more SSC CGL work-rate questions on efficiency, alternate work, man-days, and pipes.
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SSC CGL Time and Work Practice Test 3
15 more SSC CGL work-rate questions on efficiency, alternate work, man-days, and pipes.
Preview all 15 questions in SSC CGL Time and Work Practice Test 3 (no login required)
- Combined Work
1. A can do a work in 20 days and B in 30 days. Together they can do it in:
- A. 10 days
- B. 12 days (Correct)
- C. 15 days
- D. 18 days
Explanation: Combined rate = 1/20 + 1/30 = 1/12.
- Efficiency
2. If A can do 1/16 of a work in a day, A alone can do the work in:
- A. 12 days
- B. 14 days
- C. 16 days (Correct)
- D. 18 days
Explanation: Total days = reciprocal of one-day work.
- Man-days
3. 12 men can complete a work in 18 days. 9 men will complete it in:
- A. 20 days
- B. 22 days
- C. 24 days (Correct)
- D. 26 days
Explanation: Men x days = constant, so 12 x 18 / 9 = 24.
- Pipes
4. Two pipes fill a tank in 10 hours and 15 hours. Together they fill it in:
- A. 5 hours
- B. 6 hours (Correct)
- C. 7 hours
- D. 8 hours
Explanation: Combined rate = 1/10 + 1/15 = 1/6.
- Efficiency Ratio
5. If A is 50% more efficient than B, efficiency ratio A:B is:
- A. 2:1
- B. 3:2 (Correct)
- C. 4:3
- D. 5:4
Explanation: 50% more means 150:100 = 3:2.
- Alternate Days
6. A can do a work in 9 days and B in 18 days. Working on alternate days starting with A, the work finishes in:
- A. 11 days
- B. 12 days (Correct)
- C. 13 days
- D. 14 days
Explanation: In 2 days they do 1/9 + 1/18 = 1/6. So in 12 days they finish the work.
- Work Sharing
7. A, B, and C can complete a work in 10, 15, and 30 days respectively. Together they finish it in:
- A. 5 days (Correct)
- B. 6 days
- C. 7 days
- D. 8 days
Explanation: 1/10 + 1/15 + 1/30 = 1/5.
- Pipes and Waste
8. A pipe fills a tank in 5 hours and a waste pipe empties it in 20 hours. If both are open, tank fills in:
- A. 5 hours
- B. 6 2/3 hours (Correct)
- C. 8 hours
- D. 10 hours
Explanation: Net rate = 1/5 - 1/20 = 3/20, so time = 20/3 hours.
- Wages
9. If A is 4 times as efficient as B and B takes 20 days, A takes:
- A. 4 days
- B. 5 days (Correct)
- C. 6 days
- D. 8 days
Explanation: A takes one-fourth the time of B.
- Part Work
10. A can do a work in 24 days. After 8 days, B joins and remaining work is finished in 8 days. B alone can do the work in:
- A. 12 days
- B. 16 days
- C. 20 days
- D. 24 days (Correct)
Explanation: A does 1/3 in 8 days. Remaining 2/3 done in 8 days means A+B = 1/12. Since A = 1/24, B = 1/24.
- Group Work
11. 15 workers can finish a work in 12 days. 20 workers can finish it in:
- A. 8 days
- B. 9 days (Correct)
- C. 10 days
- D. 11 days
Explanation: 15 x 12 / 20 = 9.
- Pipes
12. A tap fills a tank in 3 hours. In 1 hour it fills:
- A. 1/2
- B. 1/3 (Correct)
- C. 1/4
- D. 1/5
Explanation: One-hour work = reciprocal of total time.
- Efficiency
13. If A does 25% more work than B in the same time, efficiency ratio A:B is:
- A. 4:3
- B. 5:4 (Correct)
- C. 6:5
- D. 7:6
Explanation: 25% more means 125:100 = 5:4.
- Combined Work
14. A and B together can do a work in 6 days. If A alone takes 18 days, B alone takes:
- A. 7 days
- B. 8 days
- C. 9 days (Correct)
- D. 10 days
Explanation: 1/B = 1/6 - 1/18 = 1/9.
- Women and Men
15. 8 men or 12 women can complete a work in the same time. Ratio of efficiency of a man to a woman is:
- A. 2:3
- B. 3:2 (Correct)
- C. 4:3
- D. 5:3
Explanation: Since 8 men = 12 women, one man = 12/8 = 3/2 women.