SSC CGL Quant – Time & Work, Pipes & Cisterns – Level 2 · Exam Level · Tier I Sprint
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Rates 2 : 1 → 3 units/hour × 6 = 18 units; slower pipe 1/hour → 18 hours.
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SSC CGL Quant – Time & Work, Pipes & Cisterns – Level 2 · Exam Level · Tier I Sprint – 15 questions, subject: Quantitative Aptitude. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.
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1.
A, B and C can do a work in 12, 24 and 36 days respectively. Working together, they finish it in:
Correct Answer: D [6 6/11 days]
Explanation:
LCM 72: 6 + 3 + 2 = 11 per day → 72/11 = 6 6/11 days.
2.
A and B can do a job in 8 days, B and C in 12 days, and A, B and C together in 6 days. In how many days can A and C together do it?
Correct Answer: C [8 days]
Explanation:
A = 1/6 − 1/12 = 1/12; C = 1/6 − 1/8 = 1/24; A + C = 3/24 = 1/8 → 8 days.
3.
A can do a job in 18 days. B is 50% more efficient than A. In how many days can they finish it together?
Correct Answer: B [7⅕ days]
Explanation:
B takes 18 × 2/3 = 12 days; together 18 × 12/30 = 7⅕ days.
4.
8 men working 9 hours a day build a wall in 20 days. How many days will 12 men working 8 hours a day take?
Correct Answer: A [15 days]
Explanation:
8 × 9 × 20/(12 × 8) = 1,440/96 = 15 days.
5.
2 men or 3 women can finish a job in 18 days. In how many days can 4 men and 3 women finish it?
Correct Answer: B [6 days]
Explanation:
1 man = 3 units, 1 woman = 2 units; job = 6 × 18 = 108; team = 12 + 6 = 18 per day → 6 days.
6.
Diagram-basedFor the tank shown, how long will it take to fill the tank?
Correct Answer: A [36 hours]
Explanation:
LCM 36: P +3, Q +2, R −4 → +1 per hour → 36 hours.
7.
Data graphThe bar chart shows how many days each of three workers needs to finish a job alone. If all three work together, how many days do they need?
Correct Answer: C [4 days]
Explanation:
LCM 60: A 6, B 5, C 4 → 15 per day → 4 days.
8.
Two-quantity comparison
Quantity I: days taken by A (6 days alone) and B (12 days alone) together
Quantity II: days taken by C (5 days alone) and D (20 days alone) together
Quantity I: days taken by A (6 days alone) and B (12 days alone) together
Quantity II: days taken by C (5 days alone) and D (20 days alone) together
Correct Answer: C [Quantity I = Quantity II]
Explanation:
QI = 72/18 = 4; QII = 100/25 = 4.
9.
A pipe can fill a tank in 5 hours. Because of a leak, it takes 6 hours. In how many hours can the leak alone empty the full tank?
Correct Answer: D [30 hours]
Explanation:
ab/(b − a) = 5 × 6/1 = 30 hours.
10.
Trick SpotterA + B take 15 days, B + C take 20 days, C + A take 30 days. Which is the fastest correct way to find the days for A, B and C together?
Correct Answer: A [LCM 60; (4 + 3 + 2) ÷ 2 = 4.5 units/day; 60 ÷ 4.5]
Explanation:
Pair-Sum Halving: team rate = half the sum of pair rates → 60/4.5 = 13⅓ days.
11.
Spot My Mistake“A takes 12 days. B is 20% more efficient, so B takes 20% less time: 12 − 2.4 = 9.6 days.” How many days does B really take?
Correct Answer: B [10 days]
Explanation:
Efficiency 6 : 5 → days 5 : 6 → B = 12 × 5/6 = 10 days.
12.
A can do a work in 15 days and B in 25 days. They work together for 5 days, then A leaves. In how many more days will B finish the work?
Correct Answer: C [11⅔ days]
Explanation:
LCM 75: A 5, B 3 → 5 days do 40 units; 35 left ÷ 3 = 11⅔ days.
13.
6 women can finish a job in 14 days. How many women are needed to finish a job twice as big in 12 days?
Correct Answer: D [14 women]
Explanation:
M₂ = 6 × 14 × 2/12 = 14 women.
14.
Assertion–Reason
A: If A is 50% more efficient than B, A takes 33⅓% fewer days than B.
R: For the same work, the number of days is inversely proportional to efficiency.
A: If A is 50% more efficient than B, A takes 33⅓% fewer days than B.
R: For the same work, the number of days is inversely proportional to efficiency.
Correct Answer: B [Both A and R are true and R explains A]
Explanation:
Efficiency 3 : 2 → days 2 : 3 → 1/3 = 33⅓% fewer.
15.
Reverse questionTwo pipes together fill a tank in 6 hours. One pipe is twice as fast as the other. How long would the slower pipe alone take?
Correct Answer: D [18 hours]
Explanation:
Rates 2 : 1 → 3 units/hour × 6 = 18 units; slower pipe 1/hour → 18 hours.
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