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MCQ: Mixtures and Alligations - 2 - SSC CGL MCQ


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15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Mixtures and Alligations - 2

MCQ: Mixtures and Alligations - 2 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Mixtures and Alligations - 2 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Mixtures and Alligations - 2 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 - 2 below.
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MCQ: Mixtures and Alligations - 2 - Question 1

50-kilogram rice costing Rs. R/kg is mixed with 60-kilogram rice costing Rs. 80/kg to get a mixture costing Rs. 70/kg. What is the value of R?

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

50 × R + 60 × 80 = 70 × (50 + 60)
50 × R + 4800 = 7700 
50R = 2,900
R = 58
Hence, Option B is correct.

MCQ: Mixtures and Alligations - 2 - Question 2

3 vessels contain mixtures of milk to water in the ratio of 3 : 2, 2 : 3 and 3 : 1 respectively. If all three mixtures are poured into a big vessel, what is the ratio of milk to water in the resultant mixture?

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

Since we do not know the quantities, the answer cannot be determined.
Hence, Option D is correct.

MCQ: Mixtures and Alligations - 2 - Question 3

A person bought 300 kg of wheat at the rate of Rs. 12 per kg and 1200 kg of wheat at the rate of Rs. 16 per kg and mixed them. He sold the mixture at the rate of Rs. 16 per kg. What is his overall profit percentage?

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

Overall CP = 300 × 12 + 1200 × 16 = 22,800
Overall SP = (300 + 1200) × 16 = 24,000

Hence, Option B is correct.

MCQ: Mixtures and Alligations - 2 - Question 4

A shopkeeper has 84 kg of rice. He sold some part of it at a 12% profit and the rest of it at a 2% loss. If he earns an overall profit of 4%, what quantity does he sell at loss?

Detailed Solution for MCQ: Mixtures and Alligations - 2 - Question 4


Sold at 12% profit : Sold at 2% loss = 6% : 8% = 3 : 4

Hence, Option B is correct.

MCQ: Mixtures and Alligations - 2 - Question 5

A man has 728 pens. He sells some of these at a 2% profit and the rest at a 12% loss. If he earns an overall profit of 1%, how many pens does he sell at a 12% loss?

Detailed Solution for MCQ: Mixtures and Alligations - 2 - Question 5


Pens sold at 2% profit : Pens sold at 12% loss = 13% : 1% = 13 : 1

Hence, Option A is correct.

MCQ: Mixtures and Alligations - 2 - Question 6

M liters of milk costing Rs. 60/l is mixed with 4M liters milk costing Rs. 20/l. What is the cost (per liter) of the mixture?

Detailed Solution for MCQ: Mixtures and Alligations - 2 - Question 6


Hence, Option C is correct.

MCQ: Mixtures and Alligations - 2 - Question 7

A 120 liters mixture of milk and water contains 45% water. How many liters of water should be added so that the resultant mixture will have 60% water?

Detailed Solution for MCQ: Mixtures and Alligations - 2 - Question 7


Initial mixture : added water = 40 : 15 = 8 : 3

Hence, Option D is correct.

MCQ: Mixtures and Alligations - 2 - Question 8

A person has acid costing Rs. 30 per liter. He mixed some water in it and sold it for Rs. 40 per liter and earned 100% profit. What is the ratio of acid to water in the resultant mixture?

Detailed Solution for MCQ: Mixtures and Alligations - 2 - Question 8



Acid : Water= 20 : 10 = 2 : 1
Hence, Option B is correct.

MCQ: Mixtures and Alligations - 2 - Question 9

A 650 ml solution has 25% alcohol. How much alcohol must be mixed with the solution so that the resultant mixture has 35% alcohol?

Detailed Solution for MCQ: Mixtures and Alligations - 2 - Question 9


Initial solution : Added Alcohol = 65% : 10% = 13 : 2

Hence, Option C is correct.

MCQ: Mixtures and Alligations - 2 - Question 10

A 200 kg alloy of zinc and copper has 2/5 copper. How much copper is to be mixed with the initial mixture to make 4/5 copper in the resultant mixture?

Detailed Solution for MCQ: Mixtures and Alligations - 2 - Question 10




Initial mixture : Added copper = 20% : 40% = 1 : 2

Hence, Option D is correct.

MCQ: Mixtures and Alligations - 2 - Question 11

The cost of juice is Rs. 20/liter. In what ratio juice and water should be mixed to get a mixture costing Rs. 15/liter?

Detailed Solution for MCQ: Mixtures and Alligations - 2 - Question 11


Reqd. ratio = 15 : 5 = 3 : 1
Hence, Option B is correct.

MCQ: Mixtures and Alligations - 2 - Question 12

A man buys 2 different articles for Rs. 48,800. He sells one at 24% profit and the other at 20% profit. If he earns an overall profit of 21%, at what price did he sell the one that he sold at 24% profit?

Detailed Solution for MCQ: Mixtures and Alligations - 2 - Question 12


CP → Sold at 24% profit : Sold at 20% profit = 3% : 1% = 3 : 1

Hence, Option D is correct.

MCQ: Mixtures and Alligations - 2 - Question 13

Manish has a total of 160 coins of 10 rupees and 5 rupees. If he has a combined amount of Rs. 1280, how many 5 rupee coins does he have?

Detailed Solution for MCQ: Mixtures and Alligations - 2 - Question 13


10 rupee coins : 5 rupee coins = 480 : 230 = 3 : 2

Hence, Option C is correct.

MCQ: Mixtures and Alligations - 2 - Question 14

Mohit deposited Rs. X at 10% p.a. simple interest for 1 year and Rs. Y at 20% p.a. simple interest for 1 year. If his overall interest is 16% of the overall amount, what is X : Y?

Detailed Solution for MCQ: Mixtures and Alligations - 2 - Question 14


X : Y = 4% : 6% = 2 : 3
Hence, Option B is correct.

MCQ: Mixtures and Alligations - 2 - Question 15

A person deposited Rs. 12,000 at 10% p.a. compound interest for 2 years and Rs. R at 20% p.a. compound interest for 2 years. If his overall interest is 34.80% of the overall amount, what is the value of R?

Detailed Solution for MCQ: Mixtures and Alligations - 2 - Question 15

Interest of 2 years at 10% p.a.

Interest of 2 years at 20% p.a.

9.20% : 13.80% = 2 : 3

Hence, Option C is correct.

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