SSC CGL Quant – Time & Work, Pipes & Cisterns – Tier II Level · Marathon

← Back

SSC CGL Quant – Time & Work, Pipes & Cisterns – Tier II Level · Marathon – 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.

Get daily current affairs & exam alerts – follow us YouTube WhatsApp Channel Telegram Channel Facebook Page Instagram
Share with friends & study groups
Link to this page from your website / blog (HTML code)
1.  
A can do a work in 9 days and B in 12 days. They work on alternate days, A starting. In how many days is the work finished?

Correct Answer: B [10¼ days]

Explanation:

LCM 36: A 4, B 3; 5 cycles = 10 days, 35 units; day 11 A does 1 unit in 1/4 day → 10¼ days.

2.  
In the previous situation (A 9 days, B 12 days, alternate days), if B starts instead, the work is finished in:

Correct Answer: C [10⅓ days]

Explanation:

35 units in 10 days; day 11 is B's: 1 unit at 3/day = 1/3 day → 10⅓ days.

3.  
Pipes A and B can fill a tank in 6 hours and 4 hours. They are opened alternately for 1 hour each, A first. In how many hours is the tank full?

Correct Answer: A [5 hours]

Explanation:

LCM 12: A 2, B 3 → 2 cycles (4 h) give 10; hour 5 (A) gives 2 more → exactly 5 hours.

4.  
A can do a work in 20 days and B in 30 days. A starts the work and B joins him after 5 days. In how many days in all is the work finished?

Correct Answer: D [14 days]

Explanation:

LCM 60: A 3/day → 15 in 5 days; 45 left at 5/day = 9 days → 14 days in all.

5.  
A, B and C can do a job in 9, 12 and 36 days. They start together, but C leaves 4 days before the work is finished. In how many days is the work finished?

Correct Answer: D [5 days]

Explanation:

LCM 36: A 4, B 3, C 1 per day.

6.  
A can do a job in 24 days. After working 6 days at his normal rate, he increases his efficiency by 50%. In how many days in all does he finish?

Correct Answer: A [18 days]

Explanation:

24 units at 1/day: 6 done; 18 left at 1.5/day = 12 days → 18 days.

7.  
10 men working 6 hours a day dig a 240 m trench in 12 days. In how many days will 15 men working 8 hours a day dig a 400 m trench?

Correct Answer: C [10 days]

Explanation:

10 × 12 × 6/240 = 15 × D × 8/400 → D = 10 days.

8.  
Statement-basedWhich of the following is/are correct?
I. If A and B together take T days, each of them alone takes more than T days.
II. If A and B each take 10 days alone, working on alternate days they finish in 10 days.
III. A leak that makes a pipe of a hours take b hours empties a full tank in ab/(b − a) hours.

Correct Answer: B [All three]

Explanation:

I: rates are positive. II: each day does 1/10 → 10 days.

9.  
A and B can do a job in 10 and 15 days and are paid ₹ 6,000 for it. They start together; A leaves after 3 days and B finishes. What is A's share?

Correct Answer: D [₹ 1,800]

Explanation:

LCM 30: A 3, B 2. A worked 3 days = 9 units of 30 → 9/30 × 6,000 = 1,800.

10.  
A pipe fills a tank in 4 hours. When the tank is half full, a leak develops and the rest of the filling takes 1 hour more than usual. In how many hours can the leak alone empty a full tank?

Correct Answer: B [12 hours]

Explanation:

Normally the second half takes 2 h; it took 3 h → net 1/6 per hour.

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

📘 TNPSC திறனறிவும் மனக்கணக்கு நுண்ணறிவும் (Aptitude & Mental Ability) – முழுமையான பாடநூல்
Here you get the answer with a one-line explanation. TNPSC திறனறிவு & காரணவியல் சிலபஸ் முழுவதும் · 14 அத்தியாயங்கள் + 2 அலகு மாதிரித் தேர்வுகள் · 357 பயிற்சி வினாக்கள் படிப்படியான தீர்வுடன் · மாதிரித் தாள்கள் (50 வினாக்கள்) · 14 மனவரைபடங்கள் · சூத்திரச் சுருக்கம், கணக்கு அட்டவணைகள்
Get the book – ₹199 ₹399 →
Score: 0 Answered: 0 / 0