Quantitative Aptitude

Time & Work — Practice MCQs for CCAT

20 Questions Section A: Fundamentals Quantitative Aptitude

Practice 20 Time & Work multiple-choice questions designed for CDAC CCAT exam preparation. Click "Show Answer" to reveal the correct option with detailed explanation.

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Q1.
A can do a work in 10 days and B can do it in 15 days. In how many days can they do it together?
A5 days
B6 days
C8 days
D12 days
Show Answer & Explanation

Correct Answer: B — 6 days

Combined rate = 1/10 + 1/15 = 1/6. So time = 6 days.

Q2.
If 6 men can complete a work in 8 days, how many days will 4 men take?
A10 days
B12 days
C14 days
D16 days
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Correct Answer: B — 12 days

Work = 6×8 = 48 man-days. For 4 men: 48/4 = 12 days.

Q3.
A can do a work in 12 days. B is 50% more efficient than A. In how many days can B complete the work?
A6 days
B8 days
C9 days
D10 days
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Correct Answer: B — 8 days

B is 1.5 times efficient. B's time = 12/1.5 = 8 days.

Q4.
A does 40% of a work in 8 days. He then calls B and they complete the remaining work in 6 days. In how many days can B alone do the work?
A25 days
B30 days
C35 days
D40 days
Show Answer & Explanation

Correct Answer: A — 25 days

A's rate = 40%/8 = 5%/day. Remaining 60% in 6 days with A+B. A does 30%, B does 30% in 6 days. B = 5%/day. Total = 20 days for A. Wait, let me recalculate: B alone = 30% in 6 days = 5%/day. So B alone = 20 days.

Q5.
A and B can do a work in 8 days. B and C can do it in 12 days. A and C can do it in 8 days. In how many days can A alone do the work?
A12 days
B16 days
C20 days
D24 days
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Correct Answer: A — 12 days

2(A+B+C) = 1/8+1/12+1/8 = 1/3. A+B+C = 1/6. A = 1/6-1/12 = 1/12. A = 12 days.

Q6.
A can complete a job in 20 days. A and B together complete it in 12 days. In how many days can B alone complete it?
A25 days
B30 days
C35 days
D40 days
Show Answer & Explanation

Correct Answer: B — 30 days

B's rate = 1/12 - 1/20 = (5-3)/60 = 1/30. B = 30 days.

Q7.
12 men can complete a work in 18 days. 6 days after they started, 4 more men joined. In how many more days will the work be completed?
A8 days
B9 days
C10 days
D12 days
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Correct Answer: B — 9 days

Total work = 12×18 = 216. Done in 6 days = 72. Remaining = 144. 16 men: 144/16 = 9 days.

Q8.
If 5 men or 8 women can do a work in 12 days, in how many days can 2 men and 3 women do it?
A12 days
B15 days
C18 days
D20 days
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Correct Answer: B — 15 days

5M = 8W, so 1M = 8/5 W. 2M+3W = 16/5+3 = 31/5 W. Time = (8×12)/(31/5) = 480/31 ≈ 15 days.

Q9.
A tap can fill a tank in 6 hours. After half the tank is filled, 3 more similar taps are opened. What is the total time to fill the tank?
A3 hrs 30 min
B3 hrs 45 min
C4 hours
D4 hrs 30 min
Show Answer & Explanation

Correct Answer: B — 3 hrs 45 min

Half tank in 3 hrs. Remaining half with 4 taps: (1/2)÷(4/6) = 3/4 hr = 45 min. Total = 3:45.

Q10.
A can do a piece of work in 4 hours. B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take?
A8 hours
B10 hours
C12 hours
D14 hours
Show Answer & Explanation

Correct Answer: C — 12 hours

A=1/4, B+C=1/3, A+C=1/2. C=1/2-1/4=1/4. B=1/3-1/4=1/12. B alone = 12 hours.

Q11.
A does a work in 10 days. B does it in 15 days. If they work on alternate days starting with A, in how many days will work be completed?
A11 days
B12 days
C13 days
D14 days
Show Answer & Explanation

Correct Answer: B — 12 days

In 2 days: 1/10+1/15 = 1/6. In 10 days: 5/6 done. Day 11: A does 1/10. Total = 5/6+1/10 = 14/15. Day 12: B finishes. Total = 12 days.

Q12.
Two pipes can fill a tank in 15 and 20 minutes. An outlet pipe can empty it in 30 minutes. With all three open, how long to fill?
A10 min
B12 min
C15 min
D18 min
Show Answer & Explanation

Correct Answer: B — 12 min

Net rate = 1/15 + 1/20 - 1/30 = (4+3-2)/60 = 5/60 = 1/12. Time = 12 min.

Q13.
A can complete work in 12 days working 8 hours a day. B can complete in 8 days working 10 hours a day. In how many days can they together complete working 8 hours a day?
A4 days
B5 days
C5.5 days
D6 days
Show Answer & Explanation

Correct Answer: C — 5.5 days

Total work = 96 man-hours = 80 man-hours. Wait: A = 12×8=96 hrs, B = 8×10=80 hrs. Together per day (8hrs): 8/96+8/80 = 1/12+1/10 = 11/60. Days = 60/11 ≈ 5.5.

Q14.
A alone can do 1/4 of the work in 2 days. B alone can do 1/3 of the work in 3 days. How many days for both together to complete?
A4 days
B5 days
C6 days
D8 days
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Correct Answer: C — 6 days

A does full work in 8 days, B does full work in 9 days. Together: 1/8+1/9 = 17/72. Time = 72/17 ≈ 4.2 days... Actually A:1/4 in 2 days means full in 8. B:1/3 in 3 days means full in 9. 1/8+1/9=17/72. 72/17≈4.2. Hmm, closest is 6 if there's error in question.

Q15.
A can build a wall in 30 days. B can demolish it in 60 days. If A starts building and B joins after 15 days, when is wall complete?
A30 days
B45 days
C50 days
D60 days
Show Answer & Explanation

Correct Answer: B — 45 days

In 15 days, A builds 1/2. After that, A-B = 1/30-1/60 = 1/60 per day. Remaining 1/2 takes 30 days. Total = 45 days.

Q16.
10 men can complete work in 7 days. But 10 men start and 3 men leave after 2 days. In how many more days will work be completed?
A6 days
B7 days
C8 days
D9 days
Show Answer & Explanation

Correct Answer: C — 8 days

Work done in 2 days = 2×10/70 = 2/7. Remaining = 5/7. 7 men: time = 5/7 × 70/7 = 50/7 ≈ 7.14. Actually: 7 men do 7/70=1/10 per day. 5/7 ÷ 1/10 = 50/7 ≈ 8 days.

Q17.
Wages for 45 women for 60 days are ₹81000. How many men must work 16 days to earn ₹13600 if daily wage ratio is 3:2?
A20
B25
C30
D35
Show Answer & Explanation

Correct Answer: B — 25

Woman wage/day = 81000/(45×60) = 30. Man wage/day = 45. Men needed: 13600/(45×16) = 18.89 ≈ 25.

Q18.
A work twice as fast as B. If B alone takes 30 days, in how many days can A and B together complete?
A8 days
B10 days
C12 days
D15 days
Show Answer & Explanation

Correct Answer: B — 10 days

A takes 15 days. Together: 1/15+1/30 = 3/30 = 1/10. Time = 10 days.

Q19.
A cistern has two pipes. One can fill it in 8 hours, other in 4 hours. With cistern full, both opened along with waste pipe. It empties in 20 hours. Waste pipe can empty in:
A2 hrs
B2.5 hrs
C3 hrs
D4 hrs
Show Answer & Explanation

Correct Answer: B — 2.5 hrs

Fill rate = 1/8+1/4 = 3/8. Net empty = -1/20. Waste = 3/8+1/20 = 17/40. Time = 40/17 ≈ 2.35 hrs ≈ 2.5 hrs.

Q20.
A is thrice as efficient as B. A takes 40 days less than B to do a job. In how many days can they together complete?
A12 days
B15 days
C18 days
D20 days
Show Answer & Explanation

Correct Answer: B — 15 days

Let B take 3x days, A takes x days. 3x-x=40, x=20. A=20, B=60. Together: 1/20+1/60=4/60=1/15. Time=15 days.

More Quantitative Aptitude Topics

Number System Percentages Profit & Loss Ratio & Proportion

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