MCQ: Mixtures and Alligations - 1 - SSC CGL MCQ

# MCQ: Mixtures and Alligations - 1 - SSC CGL MCQ

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## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Mixtures and Alligations - 1

MCQ: Mixtures and Alligations - 1 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Mixtures and Alligations - 1 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Mixtures and Alligations - 1 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 - 1 below.
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MCQ: Mixtures and Alligations - 1 - Question 1

### A person deposited Rs. 48000 at 10% p.a. simple interest for 2 years and Rs. X at 10% p.a. simple interest for 4 years. If his overall interest is 25% of the overall amount, what is the value of X?

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

Interest of 2 years at 10% p.a. = 10% × 2 = 20%
Interest of 4 years at 10% p.a. = 10% × 4 = 40%

15% : 5% = 3 : 1

Hence, Option B is correct.

MCQ: Mixtures and Alligations - 1 - Question 2

### Vishal deposited Rs. X at 10% p.a. compound interest for 2 years and Rs. Y at 20% p.a. compound interest for 2 years. If his overall interest is 35% of the overall amount, what is X : Y?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 2

Interest of 2 years at 10% p.a.

Interest of 2 years at 20% p.a.

X : Y = 9 : 14
Hence, Option B is correct.

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MCQ: Mixtures and Alligations - 1 - Question 3

### Virat bought 160 bats at the same price. He sold some of them at 15% loss and the rest at 25% profit. If he earns neither profit nor loss, how many bats did he sell at 15% loss?

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

At 15% loss : At 25% profit = 25% : 15% = 5 : 3

Hence, Option C is correct.

MCQ: Mixtures and Alligations - 1 - Question 4

A man buys 2 different articles for Rs. 5,800. He sells one at 10% loss and the other at 20% loss. If he incurred an overall loss of 12.50%, at what price did he buy the one that he sold at 20% loss?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 4

CP → Sold at 10% loss : Sold at 20% loss = 7.50% : 2.50% = 3 : 1

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

MCQ: Mixtures and Alligations - 1 - Question 5

The percentage of juice in Mixture A and Mixture B is 40% and 70% respectively. In what ratio should both the mixtures be mixed to get a mixture with 50% juice?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 5

So the answer = 20% : 10% = 2 : 1
Hence, Option B is correct.

MCQ: Mixtures and Alligations - 1 - Question 6

If X kilogram rice costing Rs. 100/kg is mixed with Y kilogram rice costing Rs. 40/kg to get a mixture costing Rs. 80/kg, what is X : Y?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 6

Reqd. ratio = 40 : 20 = 2 : 1
Hence, Option B is correct.

MCQ: Mixtures and Alligations - 1 - Question 7

The cost of milk is Rs. 50/liter. In what ratio milk and water should be mixed so that a profit of 25% can be made on selling the mixture at the cost price?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 7

SP of the mixture = 50

Reqd. ratio = 40 : 10 = 4 : 1
Hence, Option C is correct.

MCQ: Mixtures and Alligations - 1 - Question 8

Samrat deposited Rs. X at 5% p.a. simple interest for 2 years and Rs. Y at 20% p.a. simple interest for 2 years. If his overall interest is 30% of the overall amount, what is X : Y?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 8

Interest of 2 years at 5% p.a. = 2 × 5 = 10%
Interest of 2 years at 20% p.a. = 2 × 20 = 40%

X : Y = 10% : 20% = 1 : 2
Hence, Option B is correct.

MCQ: Mixtures and Alligations - 1 - Question 9

500 gram spirit solution has 50% spirit in it. What quantity of spirit must be mixed with the solution to get a solution of 75% spirit?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 9

25 : 25 = 1 : 1

Hence, Option D is correct.

MCQ: Mixtures and Alligations - 1 - Question 10

Mercury is 13.50 times as heavy as water and Gold is 21 times as heavy as water. Both the elements are mixed and the resultant mixture becomes 18 times as heavy as water. What is the ratio of Mercury to Gold in the resultant mixture?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 10

Reqd. ratio = 3 : 4.50 = 2 : 3
Hence, Option C is correct.

MCQ: Mixtures and Alligations - 1 - Question 11

X kilogram tea costing Rs. 180/kg is mixed with X kilogram tea costing Rs. 240/kg. What is the cost (per kg) of the mixture?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 11

Hence, Option C is correct.

MCQ: Mixtures and Alligations - 1 - Question 12

A mixture contains 85% milk and another mixture contains 60% milk. In what ratio should both the mixture be mixed to get 72% milk in the resultant mixture?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 12

Reqd. ratio = 12% : 13% = 12 : 13
Hence, Option A is correct.

MCQ: Mixtures and Alligations - 1 - Question 13

In what proportion should pulses costing Rs. 48/kg mixed with pulses costing Rs. 120/kg to make mixture costing Rs. 80/kg?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 13

Reqd. ratio = 40 : 32 = 5 : 4
Hence, Option C is correct.

MCQ: Mixtures and Alligations - 1 - Question 14

In a 45 liters mixture of milk and water the ratio of milk to water is 7 : 3. How much water should be added so that the ratio of milk to water becomes 3 : 7 in the resultant mixture?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 14

Added water = 1

Initial mixture : added water

Hence, Option C is correct.

MCQ: Mixtures and Alligations - 1 - Question 15

There are two acids with concentrations of 40% and 42%. In what proportion both the acids should be mixed to get an acid with concentrations of 41.20%?

Detailed Solution for MCQ: Mixtures and Alligations - 1 - Question 15

Reqd. ratio = 0.80% : 1.20% = 2 : 3
Hence, Option C is correct.

## Quantitative Aptitude for SSC CGL

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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests