Practice SSC CGL Time and Work MCQs with detailed solutions, shortcut tricks, and previous-year exam-level questions. Perfect for SSC CGL 2026 preparation, mock tests, YouTube quizzes, and PDFs.
SSC CGL Time and Work MCQs
1. A can complete a work in 20 days and B in 30 days. They work together for 6 days. The remaining work is completed by C alone in 8 days. In how many days can C alone complete the entire work?
A. 20 B. 16
C. 30 D. 40
Correct Answer: B
Explanation:
A’s work/day = 1/20
B’s work/day = 1/30
Together = 1/12
Work done in 6 days = 6/12 = 1/2
Remaining = 1/2
C completes 1/2 work in 8 days.
Entire work = 16 days?
Rate of C = (1/2)/8 = 1/16
Hence, C alone takes 16 days.
2. A completes a work in 18 days while B takes 24 days. They work together for 6 days. What fraction of work remains?
A. 1/6 B. 5/12
C. 7/12 D. 1/2
Correct Answer: B
Explanation
Combined rate =1/18+1/24
=7/72
Work in 6 days =42/72
=7/12
Remaining =5/12
3. 12 men can complete a work in 18 days. How many men are required to complete the same work in 9 days?
A. 18 B. 20
C. 24 D. 28
Correct Answer: C
Explanation:
Men × Days = Constant
12×18 = M×9
M = 24
4. A is twice as efficient as B. If B completes a work in 24 days, then A alone will complete it in
A. 10 B. 12
C. 16 D. 18
Correct Answer: B
Explanation:
Efficiency doubles ⇒ Time halves
24/2 =12 days
SSC CGL Time and Work MCQs
5. A can complete a work in 15 days and B in 10 days. They work together. In how many days will the work finish?
A. 5 B. 6
C. 7 D. 8
Correct Answer: B
Explanation:
Combined rate
=1/15 + 1/10
= 5/30
= 1/6
Time = 6 days.
6. If A:B efficiency ratio is 3:5, then their time ratio is
A. 3:5 B. 5:3
C. 2:3 D. 1:2
Correct Answer: B
Explanation:
Time is inversely proportional to efficiency
7. 20 workers complete a work in 15 days. After 5 days, 5 workers leave. Remaining work will be completed in
A. 12 days B. 13⅓ days
C. 15 days D. 10 days
Correct Answer: B
Explanation:
Total work = 20 × 15 = 300
Done = 20 × 5 =100
Remaining = 200
Workers left =15
Time = 200/15 = 13⅓ days
8. A completes 40% of the work in 8 days. Total time required is
A. 18 B. 20
C. 22 D. 24
Correct Answer: B
Explanation:
40% = 2/5
Whole work = 8 × 5/2
= 20 days
9. If 8 men or 12 women can complete a work in 15 days, then the ratio of efficiency of a man and a woman is
A. 2:3 B. 3:2
C. 4:3 D. 1:2
Correct Answer: B
Explanation:
8 Men = 12 Women
1 Man = 12/8 = 3/2 Woman
Efficiency =3:2
SSC CGL Time and Work MCQs
10. A pipe fills a tank in 12 hours while another empties it in 18 hours. Time to fill the tank together is
A. 30 B. 36
C. 24 D. 20
Correct Answer: B
Explanation:
Net rate = 1/12−1/18
= 1/36
Time = 36 hours
11. A alone can do a work in 25 days. B is 25% more efficient than A. B alone takes
A.18 B. 20
C. 22 D. 24
Correct Answer: B
Explanation:
Efficiency × 1.25
Time = 25/1.25 = 20 days
12.15 workers complete a work in 20 days. After 8 days, work is stopped for 2 days. Total completion time becomes
A. 20 B. 21
C. 22 D. 24
Correct Answer: C
Explanation:
Only delay matters
20+2=22 days
SSC CGL Time and Work MCQs
13. A can finish a work in 24 days. B is 50% more efficient. Together they finish in
A. 9.6 B. 10
C. 12 D. 14
Correct Answer: A
Explanation:
B time = 16 days
Combined rate = 1/24 + 1/16
= 5/48
Time = 48/5 = 9.6 days
14. 6 men complete 30% of the work in 5 days; then total work requires
A. 80 man-days B. 90 man-days
C. 100 man-days D. 120 man-days
Correct Answer: C
Explanation:
Work done = 6 × 5 = 30 man-days
30% = 30
100% = 100 man-days
15. A and B together complete work in 8 days. A alone takes 24 days. B alone takes
A. 10 B. 12
C. 14 D. 16
Correct Answer: B
Explanation:
B rate = 1/8 − 1/24
= 2/24
= 1/12
SSC CGL Time and Work MCQs
16. 8 workers work for 10 days. Equivalent work by 12 workers requires
A. 12 B. 14
C. 15 D. 16
Correct Answer: C
Explanation:
18 × 10 = 12 × D
D=15
17. A is 40% more efficient than B. If A finishes work in 15 days, B finishes in
A. 20 B. 21
C. 22 D. 24
Correct Answer: B
Explanation:
Efficiency=1.4
Time =15×1.4=21
18. A completes work in 16 days. After working for 8 days, B joins, and the remaining work is completed in 4 days. B alone takes
A. 12 B. 14
C. 16 D. 20
Correct Answer: C
Explanation:
Half work left.
(A+B) rate=1/8
A rate=1/16
B rate=1/16
Time=16 days
19. A, B, and C complete work in 12, 18, and 36 days, respectively. Together they finish in
A. 6 B. 6.5
C. 7 D. 8
Correct Answer: A
Explanation:
Rate =1/12+1/18+1/36 =1/6
Time=6 days
20. A alone completes a work in 30 days. After working for 12 days, he is replaced by B, who completes the remaining work in 9 days. B alone would complete the whole work in
A. 12 B. 15
C. 18 D. 20
Correct Answer: B
Explanation:
A completes
12/30=2/5
Remaining 3/5
B completes 3/5 in 9 days
Whole work = 9 × 5/3
=15 days
SSC CGL Time and Work MCQs
SSC CGL Quantitative Aptitude Topics
- Number System
- Decimals
- Fractions
- Percentages
- Ratio & proportion
- Square roots
- Averages
- Interest (simple & compound)
- Profit & loss
- Discount
- Partnerships
- Mixture & Alligation
- Time & speed & distance
- Time & work.
- Advanced math includes basic algebraic identities
- Elementary surds
- Graphs of linear equations
- Triangles
- Circles
- Regular polygons, right prisms, cones, cylinders, spheres
- Trigonometry.
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