Mixture and Alligation Questions for NICL, SBI PO, IBPS PO, NIACL, LIC, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams

- A chemist has 10L of a solution that is 10% nitric acid by volume. He wants to dilute the solution to 4% strength by adding water. How many litres of water must be add?

A) 40L

B) 33 L

C) 25L

D) 15 L

E) 20L

- A bottle contains (3/4) of milk and the rest water. How much of the mixture must be taken away and replaced by an equal quantity of water so that the nixtude has half milk and half water?

A) 42(1/4)%

B) 33(1/3)%

C)22(1/3)%

D) 18(1/2)%

E) 21(1/2)%

- P and Q are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 resp. If equal quantities of the alloys are melted to form a third alloy R, Find the ratio of gold and copper.

A) 6 : 7

B) 7 : 5

C) 4 : 3

D) 5 : 6

E) 3 : 2

- A container has 30 L of water. If 3 L of water is replaced by 3 L of spirit and this operation is repeated twice , what will be the quantity of water in the new mixture?

A) 27.1 L

B) 25.5 L

C) 14.4 L

D) 24.3 L

E) 22 L

- Two barrels contain a mixture of ethanol and gasoline. The content of the ethanol is 60% in the first barrel and 30% in the second barrel. In what ratio must the mixtures from the first and the second barrels be taken to form a mixture containing 50% ethanol?

A) 2 : 1

B) 2 : 5

C) 1 : 3

D) 3 : 2

E) 4 : 5

- A solution of sugar syrup has 15% sugar. Another solution has 5% sugar. How many litres of the second solution must be added to 20 L of the first solution to make a solution of 20% sugar.

A) 60 L

B) 45 L

C) 50 L

D) 30 L

E) 20 L

- A person has a chemical of Rs. 25 per litre. In what ratio should water be mixed in that chemical, so that after selling the mixture at Rs. 20 per litre he may get a profit of 25%?

A) 9 : 15

B) 10 : 13

C) 16 : 9

D) 15 : 22

E) 21 : 17

- Three containers X, Y and Z are having mixtures of milk and water in the ratio 1 : 5 , 3 : 5 and 5 : 7 resp. If the capacities of the containers are in the ratio 5 : 4 : 5, then find the ratio of the milk to the water, if the mixtures of all the three containers are mixed together.

A) 44 : 119

B) 24 : 111

C) 46 : 143

D) 53 : 115

E) 55 : 157

- How many kg of sugar costing Rs. 5.75 per kg should be mixed with 75 kg of cheaper sugar costing Rs. 4.50 per kg so that the mixture is worth Rs. 5.50 per kg ?

A) 440 kg

B) 300 kg

C) 112 kg

D) 225 kg

E) 320 kg

- One test tube contains some acid and another test tube contains an equal quantity of water. To prepare a solution, 20 g of the acid is poured into the second test tube. Then, two-thirds of the so formed solution is poured from the second test tube into the first. If the fluid in the first test tube is four times that in second, what quantity of water was taken initially.

A) 150 g

B) 120 g

C) 90 g

D) 100 g

E) 150 g

**Option D**

**Solution:**Initially, let x g of water and Acid was

taken. Initially 1st process

First test tube = (x - 20) g

Second test tube = (x + 20) g

2nd process

First test tube = (x - 20) + (x + 20)*(2/3)

Second test tube = (x + 20)*(1/3)

Now,

(x -20) + (2/3)(x +20) = 4*(1/3)(x + 20)

=> x = 100 g

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