MCQ: Mixtures and Alligations - 3 - SSC CGL MCQ

# MCQ: Mixtures and Alligations - 3 - SSC CGL MCQ

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## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Mixtures and Alligations - 3

MCQ: Mixtures and Alligations - 3 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Mixtures and Alligations - 3 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Mixtures and Alligations - 3 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Mixtures and Alligations - 3 below.
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MCQ: Mixtures and Alligations - 3 - Question 1

### A total amount of Rs. 1200 is divided among 120 students. Each boy gets Rs. 8 and each girl gets Rs. 11. What is the number of boys?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 1

Average amount each student gets

Boys : Girls = 1 : 2

Hence, Option B is correct.

MCQ: Mixtures and Alligations - 3 - Question 2

### A mixture contains ‘X’ liters of milk and 20 liters of water and the price of the mixture is Rs. 25 per liter. If the price of pure milk is Rs. 30 per liter, what is the value of ‘X’?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 2

Milk : Water= 25 : 5 = 5 : 1

Hence, Option A is correct.

MCQ: Mixtures and Alligations - 3 - Question 3

### A man buys 2 different articles for Rs. 15,600. He sells one at 4% profit and the other at 20% profit. If he earns an overall profit of 12%, at what price did he buy the one that he sold at 20% profit?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 3

CP → Sold at 4% profit : Sold at 20% profit = 8% : 8% = 1 : 1

Hence, Option A is correct.

MCQ: Mixtures and Alligations - 3 - Question 4

How many kilograms of rice costing Rs. 30/kg should be mixed with 40 kg of rice costing Rs. 45/kg, so that there will be a profit of 25% on selling the mixture at Rs. 50/kg?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 4

Cost price of resultant rice = 50/1.25 = 40

5 : 10 = 1 : 2

Hence, Option C is correct.

MCQ: Mixtures and Alligations - 3 - Question 5

In a mixture, the ratio of milk to water is 3 : 2. If the quantity of milk is 17 liters more than the quantity of water, what is the total quantity of the mixture?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 5

Hence, Option D is correct.

MCQ: Mixtures and Alligations - 3 - Question 6

A 560 liters mixture of milk and water contains 20% water. How many liters of water should be added so that the resultant mixture will have 70% milk?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 6

Concentration of Water initially = 20%
Concentration of Added water = 100%
Water in the resultant mixture = 100% – 70% = 30%

Initial mixture : added water = 70 : 10 = 7 : 1

So the answer = None of these
Hence, Option D is correct.

MCQ: Mixtures and Alligations - 3 - Question 7

How much tea, costing Rs. 400 per kg, should be added to 150 kg of tea costing Rs. 100 per kg so that the mixture be worth Rs. 150 per kg?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 7

Tea costing Rs. 400/ kg : Tea costing Rs. 100/kg = 50 : 250 = 1 : 5

Hence, Option A is correct.

MCQ: Mixtures and Alligations - 3 - Question 8

There are two mixtures A and B of milk and water. The ratio of water to milk in Mixture A is 5 : 3 and the ratio of milk to water in Mixture B is 3 : 1. If 200 liters of both the mixtures are mixed, what is the percentage of water in the resultant mixture?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 8

Hence, Option D is correct.

MCQ: Mixtures and Alligations - 3 - Question 9

Shree bought 200 articles at the same price. He sold some of them at a 20% loss and the rest at a 40% loss. If he incurred a loss of 25%, how many articles did he sell at a 40% loss?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 9

At 20% loss : At 40% loss = 15% : 5% = 3 : 1

Hence, Option B is correct.

MCQ: Mixtures and Alligations - 3 - Question 10

In a mixture, the ratio of wine to water is 3 : 1. X% of the mixture is replaced with water. If the resultant mixture has 50% water, what is the value of X?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 10

After removing X% mixture (before adding the water) the percentage of water will remain the same.
Water in remaining mixture

Water in resultant mixture = 50%

50% : 25% = 2 : 1

Hence, Option B is correct.

MCQ: Mixtures and Alligations - 3 - Question 11

In Mixture A, the ratio of copper to silver is 5 : 11. In Mixture B, the ratio of copper to silver is 9 : 7. Both the mixtures are mixed together and the ratio of copper to silver in the resultant mixture becomes 7 : 9. What is the ratio of the quantity of Mixture A to that of Mixture B in the resultant mixture?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 11

Hence, Option A is correct.

MCQ: Mixtures and Alligations - 3 - Question 12

Vivek deposited Rs. 6,000 at 10% p.a. simple interest for 2 years and Rs. X at 20% p.a. simple interest for 2 years. If his overall interest is 25% of the overall amount, what is the value of X?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 12

Interest of 2 years at 10% p.a. = 10% × 2 = 20%
Interest of 2 years at 20% p.a. = 20% × 2 = 40%

15% : 5% = 3 : 1

Hence, Option A is correct.

MCQ: Mixtures and Alligations - 3 - Question 13

80 grams of an alloy of gold and silver contains 75% gold (by weight). How much gold should be mixed with the alloy so that there will be 80% gold in the resultant mixture?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 13

Initial alloy : Added gold = 20% : 5% = 4 : 1

Hence, Option A is correct.

MCQ: Mixtures and Alligations - 3 - Question 14

200 liters of a mixture contains 20% water and the rest is milk. How many liters of milk should be added to the mixture, so that the resultant mixture will have 90% milk?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 14

Milk in the initial mixture = 80%
Milk in the final mixture = 100% – 10% = 90%

10% : 10% = 1 : 1

Hence, Option D is correct.

MCQ: Mixtures and Alligations - 3 - Question 15

A man buys 2 different articles for Rs. 4,800. He sells one at 10% loss and the other at 10% gain. If in the whole process he neither gained nor lost, at what price did he sell the one that he sold at profit?

Detailed Solution for MCQ: Mixtures and Alligations - 3 - Question 15

CP → Sold at 10% profit : Sold at 10% loss = 10% : 10% = 1 : 1
CP of that he sold at profit

Hence, Option C is correct.

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