SSC CGL Quant – Mixture & Alligation – Level 1 · Warm-up · Tier I Level

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SSC CGL Quant – Mixture & Alligation – 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.  
In what ratio must rice at ₹ 32 per kg be mixed with rice at ₹ 47 per kg to get a mixture worth ₹ 41 per kg?

Correct Answer: A [2 : 3]

Explanation:

Cross: (47 − 41) : (41 − 32) = 6 : 9 = 2 : 3.

2.  
25 kg of dal at ₹ 40 per kg is mixed with 15 kg at ₹ 56 per kg. Find the cost per kg of the mixture.

Correct Answer: C [₹ 46]

Explanation:

(1,000 + 840)/40 = 1,840/40 = 46.

3.  
In what ratio must water be mixed with milk costing ₹ 54 per litre to get a mixture worth ₹ 45 per litre? (water : milk)

Correct Answer: D [1 : 5]

Explanation:

Water = ₹ 0: (54 − 45) : (45 − 0) = 9 : 45 = 1 : 5.

4.  
40 litres of a mixture has milk and water in the ratio 3 : 1. How much water must be added to make the ratio 3 : 2?

Correct Answer: B [10 litres]

Explanation:

Milk 30 L fixed = 3 parts → water must be 20 L; now 10 L → add 10 L.

5.  
In a class of 40, the boys' average is 60 and the girls' average is 70. The class average is 64. How many boys are there?

Correct Answer: A [24]

Explanation:

Boys : girls = (70 − 64) : (64 − 60) = 6 : 4 = 3 : 2 → boys = 24.

6.  
Fill in the blankIn any mixture of two kinds, the mean value always lies ___.

Correct Answer: C [between the two values]

Explanation:

A weighted average is always between the smallest and largest values (midway only for equal quantities).

7.  
How much water must be added to 50 litres of a 30% acid solution to make it a 20% solution?

Correct Answer: D [25 litres]

Explanation:

Water is Zero: 50 × (30 − 20)/20 = 25 L.

8.  
A solution has acid and water in the ratio 5 : 3. What percentage of the solution is acid?

Correct Answer: B [62.5%]

Explanation:

5/8 = 62.5%.

9.  
Equal quantities of tea at ₹ 64 per kg and ₹ 80 per kg are mixed. What is the cost of the mixture per kg?

Correct Answer: A [₹ 72]

Explanation:

Equal quantities → simple average (64 + 80)/2 = 72.

10.  
Statement-basedWhich of the following is/are correct?
I. Rice at ₹ 30 and ₹ 50 per kg can be mixed to get a mixture costing ₹ 55 per kg.
II. Equal quantities give a mean equal to the simple average of the two values.

Correct Answer: D [Only II]

Explanation:

I is impossible: 55 is not between 30 and 50.

11.  
A 20% solution and a 50% solution of sugar are mixed to get a 30% solution. In what ratio are they mixed?

Correct Answer: C [2 : 1]

Explanation:

Cross: (50 − 30) : (30 − 20) = 20 : 10 = 2 : 1.

12.  
Match the followingMatch the kind of mixing with what the alligation ratio measures:
P. Two speeds Q. Two prices per kg R. Two profit percentages
1. ratio of cost prices 2. ratio of times 3. ratio of quantities

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

Explanation:

Speed is per hour → times; price per kg → kg; profit % is per ₹ of cost → cost prices.

➤ 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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