SSC CGL Quant – Mixture & Alligation – Tier II Level · Marathon

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SSC CGL Quant – Mixture & Alligation – 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.

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1.  
A cask holds 60 litres of wine. 6 litres are drawn off and replaced with water, and this is done twice in all. How much water is in the cask now?

Correct Answer: B [11.4 litres]

Explanation:

Wine left = 60 × (9/10)² = 48.6 L → water = 11.4 L.

2.  
From a vessel full of pure wine, 4 litres are drawn off and replaced with water three times. Wine : water is now 27 : 37. How much does the vessel hold?

Correct Answer: A [16 litres]

Explanation:

Wine fraction 27/64 = (3/4)³ → 4 L is 1/4 of the vessel → 16 L.

3.  
A container has 40 litres of milk. 4 litres are taken out and replaced with water; this is done twice. What is milk : water now?

Correct Answer: C [81 : 19]

Explanation:

Milk = 40 × 0.81 = 32.4, water = 7.6 → 81 : 19.

4.  
A can has milk and water in the ratio 7 : 5. When 9 litres of the mixture is drawn off and the can is filled with water, the ratio becomes 7 : 9. How many litres did the can hold?

Correct Answer: D [36 litres]

Explanation:

Milk fraction 7/12 → 7/16, so 3/4 of the mixture stayed → 9 L is 1/4 → 36 L.

5.  
Three grades of sugar at ₹ 36, ₹ 42 and ₹ 54 per kg are mixed to get a mixture worth ₹ 45 per kg. Which ratio works?

Correct Answer: A [3 : 3 : 4]

Explanation:

(108 + 126 + 216)/10 = 450/10 = 45 ✓.

6.  
Alloy A has gold and copper in the ratio 7 : 2 and alloy B in the ratio 7 : 11. In what ratio must A and B be melted to get gold : copper = 7 : 8?

Correct Answer: C [1 : 4]

Explanation:

Gold fractions on total 90: 70, 35; target 42 → A : B = (42 − 35) : (70 − 42) = 7 : 28 = 1 : 4.

7.  
A grocer mixes sugar at ₹ 42 per kg with sugar at ₹ 52 per kg and sells the mixture at ₹ 54 per kg, gaining 12.5%. If he uses 20 kg of the cheaper sugar, how much of the dearer sugar does he use?

Correct Answer: D [30 kg]

Explanation:

CP = 54/1.125 = 48. Cross: (52 − 48) : (48 − 42) = 4 : 6 = 2 : 3 → 20 : 30.

8.  
Statement-basedWhich of the following is/are correct?
I. In repeated replacement the pure liquid falls by the same quantity each time.
II. After two replacements of 1/4 of the vessel, 56.25% of the pure liquid remains.
III. In alligation, water is treated as having value 0.

Correct Answer: B [II and III only]

Explanation:

I is false (it falls by the same fraction).

9.  
A container has 50 litres of a 40% acid solution. Some of it is taken out and replaced with pure acid, and the strength becomes 52%. How much was taken out?

Correct Answer: A [10 litres]

Explanation:

Acid: 20 − 0.4x + x = 26 → 0.6x = 6 → x = 10 L.

10.  
A truck covers 210 km in 4 hours, partly at 40 km/h and partly at 60 km/h. How far does it travel at 60 km/h?

Correct Answer: D [150 km]

Explanation:

Mean speed 52.5. Times (60 − 52.5) : (52.5 − 40) = 3 : 5 → 1.5 h and 2.5 h → 60 × 2.5 = 150 km.

➤ 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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