Question

Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.

Quantity A - Quantity of milk in the mixture. Container contains 300 liter pure milk. 2 / 5 of the milk is taken out and replaced with water. Now, 3 / 12 is taken out and again water is mixed.

Quantity B - Number of 2 legged animals. Total number of animals is 215 while the total number of legs of animals is 550. (There are only two legged and four legged animals)

1. Quantity A ≥ Quantity B
2. Quantity A ≤ Quantity B
3. Quantity A = Quantity B or no relationship can be established
4. Quantity A > Quantity B
5. Quantity A < Quantity B

Answer 1

Correct Answer - Option 5 : Quantity A < Quantity B

Quantity A -

Initial amount of milk = 300

Final amount = (1 - 2 / 5) × (1 - 3 / 12) × 300 = 135

Quantity B -

Let two legged animals be x

2x + 4 × (215 - x) = 550

⇒ 860 - 550 = 2x

⇒ x = 155

Hence, Quantity A < Quantity B