SSC CGL Quant – Time & Work, Pipes & Cisterns – Level 1 · Warm-up · Tier I Level

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SSC CGL Quant – Time & Work, Pipes & Cisterns – Level 1 · Warm-up · Tier I Level – 12 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 finish a job in 14 days and B in 21 days. In how many days can they finish it together?

Correct Answer: A [8⅖ days]

Explanation:

LCM 42: A 3, B 2 → 5 units/day → 42/5 = 8⅖ days.

2.  
A can do a work in 24 days and B in 40 days. Working together, they finish it in:

Correct Answer: C [15 days]

Explanation:

LCM 120: A 5, B 3 → 8/day → 15 days.

3.  
A and B together finish a job in 12 days. A alone can do it in 21 days. How long will B alone take?

Correct Answer: B [28 days]

Explanation:

aT/(a − T) = 21 × 12/9 = 28 days.

4.  
A is three times as efficient as B. B alone takes 36 days to do a job. How long will they take together?

Correct Answer: D [9 days]

Explanation:

A takes 12 days; rates 3 : 1 → 36 units/4 per day = 9 days.

5.  
12 men can complete a work in 25 days. In how many days can 20 men complete it?

Correct Answer: B [15 days]

Explanation:

M₁D₁ = M₂D₂: 12 × 25 = 300 = 20 × 15.

6.  
Two pipes can fill a tank in 8 hours and 12 hours respectively. If both are opened together, the tank is filled in:

Correct Answer: D [4 h 48 min]

Explanation:

8 × 12/20 = 4.8 h = 4 h 48 min.

7.  
A pipe fills a tank in 12 hours and another pipe empties it in 20 hours. If both are opened on an empty tank, it is filled in:

Correct Answer: C [30 hours]

Explanation:

LCM 60: +5 − 3 = +2 per hour → 30 hours.

8.  
A does 1/4 of a work in 5 days. How many days will he take to do the whole work alone?

Correct Answer: A [20 days]

Explanation:

1/4 in 5 days → whole in 4 × 5 = 20 days.

9.  
Fill in the blankIf A is 50% more efficient than B, then A needs ___ of the time B needs for the same work.

Correct Answer: A [2/3]

Explanation:

Efficiency 3 : 2 → time 2 : 3.

10.  
A can do a job in 6 days and B in 12 days. They do it together and are paid ₹ 1,800. What is A's share?

Correct Answer: B [₹ 1,200]

Explanation:

Rates 2 : 1 (LCM 12) → A gets 2/3 of 1,800 = 1,200.

11.  
Statement-basedWhich of the following is/are correct?
I. If A and B each take 10 days alone, together they take 5 days.
II. If an inlet and an outlet are opened together, the tank can never be filled.

Correct Answer: C [Only I]

Explanation:

I: 10 × 10/20 = 5. II is false – the tank fills if the inlet is faster.

12.  
Match the followingMatch the expressions with their meanings (a, b = days alone; T = days together):
P. 1/a Q. ab/(a + b) R. aT/(a − T)
1. B's days alone from the team's days 2. one day's work of a worker 3. days for two together

Correct Answer: D [P-2, Q-3, R-1]

Explanation:

1/a is the daily rate; ab/(a + b) is together; aT/(a − T) is the missing partner.

➤ 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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