Multiple choice

In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine relationship between two quantities and choose the appropriate option: Quantity I: A vessel contains 24 litres of a mixture of milk and water, the quantity of milk was 64% of total mixture. A few litres of mixture was taken out and replaced by same amount of water. This process is repeated two more times and quantity of milk becomes 27 % only. How many litres of mixture is taken out every time? Quantity II: A vessel contains 36 liters of mixture of milk and water in the ratio 4:5. What amount of milk mixed into the vessel so that ratio of milk and water becomes 5:4?

  1. Quantity I > Quantity II

  2. Quantity I ≤ Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I < Quantity II

  5. Quantity I = Quantity II or no relation
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Quantity I: Using dilution formula, final milk = initial milk * (1 - x/24)^3 where x is amount removed each time. 15.36 * (1 - x/24)^3 = 6.48, solving gives (1 - x/24) = 0.75, so x = 6 liters. Quantity II: 36L in 4:5 ratio means 16L milk and 20L water. To get 5:4 ratio, let m be milk added: (16+m)/20 = 5/4, solving gives m = 9 liters. Since 6 < 9, Quantity I < Quantity II is correct.

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