Alligation or Mixtures MCQ Set 1

Showing question 1 to 5 of total 30 MCQs

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Question No: 1

Rajesh has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Rajesh spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Rajesh add?

1. 3/5
2. 1/2
3. 1/4
4. 2/7

Answer: C

Explanation

Question No: 2

Chaman has two big cans of wine and water mixture. Chaman mixes the contents of both the cans in a big container. The new mixture has half water and half wine. In what quantity did Chaman mix contents of Can 1 and 2 if Can 2 has wine to water ratio of 2:3 and Can 1 has wine to water ratio 5:3?

1. 5:3
2. 4:5
3. 5:4
4. 2:5

Answer: B

Explanation

Question No: 3

A milkman had water and milk mixture in a can with water to milk ratio 5:7. He accidently spills 9 liters of the mixture. He then fills the can with water equal in quantity to spilled mixture. This makes the water to milk ratio 9:7. How much milk did the can initially have?

1. 21 liters
2. 24 liters
3. 16 liters
4. 20 liters

Answer: A

Explanation

Approach 1 — Direct Solving

Here milk : water = 7:5

That means quality of milk be 7 or

multiple 7

Only option A i.e. 21 is multiple of 7.

You can check by putting 21 as quantity of milk

Approach 2 — By solving

Water to Milk 5: 7

Let common factor be K, so water SK liters and Milk

Now, when we remove 9 liters mixture,

Now, 9 liter water is added,

So Water quantity SK-3.75+9 = 5K+5.25

Milk quantity 7K-5.25

K = 3

Amount of milk initially = 7k = 7 × 3 = 21

Question No: 4

Sunil started a juice (lemon syrup + water) counter. Initially he had 140 liter juice which had 30% water in it. He sold 20 liters of the juice. Then he added equal amount of lemon syrup and water. Now the ratio of water to lemon syrup became 1:2. How much water was added later on?

1. 9 liters
2. 12 liters
3. 14 liters
4. 20 liters

Answer: B

Explanation

Initial amount of lemon syrup 100% juice -30% water 70% syrup

Sunil sold 20 liter juice, so now he has 140-20 120 liter juice.

In this 1201 juice, the ratio will be same i.e.30% water and 70% syrup

So, amount of syrup 70% of 120

Amount 120-84 36

Now, let Sunil add 'A' liters of lemon syrup and 'A' liters of water.

As per given condition,

A = 12 Liters = Amount of water added

Question No: 5

Rohit buys some rice at Rs. 10.40 per kg. He mixes it with some rice having price Rs. 8.8 per kg. The final mixture becomes 15kg in weight and with total worth Rs. 146.40. What is the quantity of rice priced at Rs. 8.8 per kg?

1. 9 kg
2. 10 kg
3. 5 kg
4. 6 kg

Answer: D

Explanation

Price of 15kgfinal mixture Rs. 146.40

So, Price of1 mixture 146.40/15 Rs. 9.76

So, ratio of quantities 1 rice type 2 rice 0.64 : 0.96

Now total mixture is of 15 kg.

Let common factor be K, so rice quantities would be 2K and 3k

2K+3K 15

Quantities of rice at Rs. 8.8 2K 2 &× 3 = 6kg