Multiple choice

In each of the following questions (quantity) two questions are given. Solve these questions and give answer: $I. In a mixture of 40 liters, the ratio of milk and water is 4:1. How much water must be withdraw from this mixture so that the ratio of milk and water becomes 16:3?\\II. Aman crosses 45 km long Still River by swimming in 20 hours but it takes less than 55% time to him to cross the same river from the boat. What is the speed of the boat?$

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: 40L mixture in 4:1 has 32L milk, 8L water. Removing x water gives ratio 32:(8-x) = 16:3, so 96 = 128 - 16x, x = 2. Answer: 2L water removed. Quantity II: 55% of 20 hours = 11 hours. Boat takes <11 hours for 45km, so speed > 45/11 ≈ 4.09 km/h. Comparing: 2 < 4.09, so Quantity II is greater. Key distractor: Quantity I might seem larger if you miscalculate the water removal.

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