Alligations and Mixtures Quiz Set 011 | Maths Aptitude Quiz Questions and Mock Test on Alligations and Mixtures Set 11 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

A 200 liter mixture of milk and water contains 64% milk. How many more liters of water should be added so that the proportions of milk and water become equal?

56 liter.

57 liter.

55 liter.

59 liter.

Soln.
Ans: a

The volume of milk will remain same at ${64 × 200}/100$ = 128 liters. The amount of water at present is 200 - 128 = 72 liters. We need to make the volume of water equal to that of the milk. So we have to add 128 - 72 = 56 liters of water.

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Question 2

Two types of petrols having the prices per liter as Rs. 13 and Rs. 5 are mixed in the ratio 2 : 14. What is the price of the mixture per liter?

Rs. 6 per liter.

Rs. 7 per liter.

Rs. 5 per liter.

Rs. 9 per liter.

Soln.
Ans: a

If a sample n₁ has an average price of A₁, and another sample n₂ has an average price of A₂, then the price of the mixture, A, is determined by the alligation formula as: n₁(A - A₁) = n₂(A₂ - A). Putting A₂ = 5, A₁ = 13, n1 = 2, n2 = 14, we have 2 × (A - 13) = 14 × (5 - A), from where we get A = Rs. 6 per liter.

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Question 3

An electronics shop sold 8 TV sets at a 8% profit, and 2 Coolers at 3% profit. What is the average percentage profit earned by the shop?

7%.

8%.

6%.

10%.

Soln.
Ans: a

We shall use the alligation formula. If a sample n₁ has an average property of A₁, and another sample n₂ has an average property of A₂, then the average property of the mixture, A, is determined by the alligation formula as: n₁(A - A₁) = n₂(A₂ - A). Putting A₂ = 3, A₁ = 8, n1 = 8, n2 = 2, we have 8 × (A - 8) = 2 × (3 - A), from where we get A = 7%. The "property" in the alligation formula could be percentage, speed, weight, price, etc.,

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Question 4

A milkman has 3 liters of 2% curd, and 2 liters of 12% curd. If he mixes equal quantities of the two curd samples, then what is the percentage curd in the mixture?

6%.

7%.

5%.

9%.

Soln.
Ans: a

We shall use the alligation formula. If a sample n₁ has an average property of A₁, and another sample n₂ has an average property of A₂, then the average property of the mixture, A, is determined by the alligation formula as: n₁(A - A₁) = n₂(A₂ - A). Putting A₂ = 12, A₁ = 2, n1 = 3, n2 = 2, we have 3 × (A - 2) = 2 × (12 - A), from where we get A = 6%. The "property" in the alligation formula could be percentage, speed, weight, price, etc.,

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Question 5

A milkman has 12 liters of 15% curd, and 6 liters of 12% curd. If he mixes equal quantities of the two curd samples, then what is the percentage curd in the mixture?

13.5%.

15%.

13%.

17%.

Soln.
Ans: a

Quantities are equal, so answer = (15/100 + 12/100) X 100 = 27/2 = 13.5%

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