SSC CGL Quant – Time & Work, Pipes & Cisterns – Level 3 · Challenge

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SSC CGL Quant – Time & Work, Pipes & Cisterns – Level 3 · Challenge – 10 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 can do a job in 12 days and B in 16 days. With the help of C they finish it in 4 days and are paid ₹ 3,600. What is C's share?

Correct Answer: A [₹ 1,500]

Explanation:

LCM 48: team 12/day, A 4, B 3 → C 5/day; in 4 days C does 20 of 48 units → 20/48 × 3,600 = 1,500.

2.  
Pipes A and B can fill a tank in 12 and 15 minutes respectively. Both are opened together, but B is closed after 3 minutes. In how long is the tank filled in all?

Correct Answer: C [9 min 36 s]

Explanation:

LCM 60: A 5, B 4 → 3 min give 27; 33 left at 5/min = 6.6 min → 9.6 min = 9 min 36 s.

3.  
30 men can finish a work in 40 days. After 10 days, 10 more men join. In how many more days will the work be finished?

Correct Answer: D [22½ days]

Explanation:

Work 1,200 man-days; 300 done; 900 ÷ 40 men = 22½ days.

4.  
A is 40% more efficient than B. Together they finish a job in 35 days. How long would A alone take?

Correct Answer: C [60 days]

Explanation:

Rates 7 : 5 → 12 × 35 = 420 units → A = 420/7 = 60 days.

5.  
Odd one outThree of these pairs finish a job together in exactly 10 days. Which pair does not?

Correct Answer: B [A 18 days and B 24 days]

Explanation:

18 × 24/42 = 10²⁄₇ days; the others give 10.

6.  
Arrange in orderPipes P and Q fill a tank in 6 h and 9 h; pipe R empties it in 12 h. Arrange in increasing order the times to fill the empty tank with (i) P and Q open, (ii) P and R open, (iii) Q and R open.

Correct Answer: A [(i) < (ii) < (iii)]

Explanation:

(i) 3.6 h, (ii) 12 h, (iii) 36 h.

7.  
Two pipes fill a tank in 10 h and 15 h, and a third pipe empties it in 6 h. All three are opened when the tank is half full. What happens?

Correct Answer: C [The water level does not change]

Explanation:

LCM 30: +3 +2 −5 = 0 → net rate zero, the level stays where it is.

8.  
4 men and 6 women can finish a job in 8 days, while 3 men and 7 women can finish it in 10 days. In how many days can 10 women finish it?

Correct Answer: B [40 days]

Explanation:

Solving 4m + 6w = 1/8 and 3m + 7w = 1/10 gives w = 1/400 → 10 women do 1/40 a day → 40 days.

9.  
A leak can empty a full tank in 6 hours. A tap letting in 4 litres a minute is opened, and the tank (full at the start) now empties in 8 hours. What is the capacity of the tank?

Correct Answer: A [5,760 litres]

Explanation:

The tap supplies 1/6 − 1/8 = 1/24 of the tank per hour = 240 L per hour → capacity = 240 × 24 = 5,760 L.

10.  
Pipes A and B fill a tank in 20 minutes and 30 minutes. Both are opened together, but B is closed 5 minutes before the tank is full. How long does it take to fill the tank?

Correct Answer: D [14 minutes]

Explanation:

Pretend B ran all T minutes, then remove its last 5: T/20 + (T − 5)/30 = 1 → 3T + 2T − 10 = 60 → T = 14 minutes.

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Quantitative Aptitude book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-quantitative-aptitude

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