SSC CGL Quant – Mixture & Alligation – Level 3 · Challenge

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SSC CGL Quant – Mixture & Alligation – 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.  
Rice of three kinds costing ₹ 20, ₹ 25 and ₹ 35 per kg is mixed to get a mixture worth ₹ 28 per kg. Which of the following can be the mixing ratio?

Correct Answer: C [1 : 2 : 2]

Explanation:

Test: (20 + 50 + 70)/5 = 28 ✓.

2.  
A vessel holds 35 litres of milk and water in the ratio 5 : 2. 14 litres of the mixture is taken out and replaced with water. What is the new ratio of milk to water?

Correct Answer: B [3 : 4]

Explanation:

14 L is 2/5 of the vessel → milk 25 → 15; water 10 → 6 + 14 = 20 → 15 : 20 = 3 : 4.

3.  
A jar has milk and water in the ratio 4 : 1. What fraction of the mixture must be drawn off and replaced with water to make the ratio 1 : 1?

Correct Answer: D [3/8]

Explanation:

Milk fraction 4/5 must become 1/2: kept part = (1/2)/(4/5) = 5/8 → draw off 3/8.

4.  
Sugar at ₹ 42 per kg and ₹ 54 per kg is mixed in the ratio 3 : 1, and the mixture is sold at ₹ 54 per kg. What is the profit per cent?

Correct Answer: A [20%]

Explanation:

CP = (126 + 54)/4 = 45 → profit 9 on 45 = 20%.

5.  
Two vessels contain milk and water in the ratios 3 : 2 and 7 : 3. In what ratio should they be mixed to get milk : water = 2 : 1?

Correct Answer: C [1 : 2]

Explanation:

Equal totals 30: milk 18 and 21; target 20.

6.  
Odd one outThree of these mixtures cost ₹ 50 per kg. Which one does not?

Correct Answer: B [₹ 44 and ₹ 56 in the ratio 2 : 1]

Explanation:

(88 + 56)/3 = 48; the others give exactly 50.

7.  
Data tableA shop blends three teas:
Blend A: 12 kg at ₹ 150/kg Blend B: 8 kg at ₹ 200/kg Blend C: 20 kg at ₹ 180/kg
What is the cost per kg of the whole blend?

Correct Answer: A [₹ 175]

Explanation:

(1,800 + 1,600 + 3,600)/40 = 7,000/40 = 175.

8.  
From 50 litres of a 20% sugar solution, 10 litres are taken out and replaced with 10 litres of a 50% sugar solution. What is the new strength?

Correct Answer: D [26%]

Explanation:

Sugar = 40 × 0.2 + 10 × 0.5 = 8 + 5 = 13 L in 50 L → 26%.

9.  
Three vessels of 8 L, 6 L and 5 L hold milk and water in the ratios 3 : 1, 2 : 1 and 3 : 2. All three are emptied into one large vessel. The ratio of milk to water in it is:

Correct Answer: C [13 : 6]

Explanation:

Milk 6 + 4 + 3 = 13 L, water 2 + 2 + 2 = 6 L → 13 : 6.

10.  
40 kg of fresh grapes contain 80% water. They are dried until the water is 20% of the weight. What is the weight of the dried grapes?

Correct Answer: B [10 kg]

Explanation:

Pulp = 20% of 40 = 8 kg stays.

➤ 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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