Multiple choice

Each question below contains a statement followed by Quantity I and Quantity II. Find both to find the relationship among them. Mark your answer accordingly. Quantity I: A man can row at a speed of 8 kmph in still water. He goes to a certain upstream point and back to the starting point in a river flowing at 4 kmph. Average speed of man for the total journey. Quantity II: Speed of a cyclist, cycling in a circular ground of radius 7 kilometer, if he takes 4 hour to complete one full round of the ground.

  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: Upstream speed = 8-4 = 4 kmph, Downstream speed = 8+4 = 12 kmph. Average speed for round trip = 2 × product/sum = 2 × 4 × 12 / 16 = 96/16 = 6 kmph. Quantity II: Circumference = 2π × 7 = 14π km. Speed = 14π / 4 = 3.5π ≈ 11 kmph. Since 11 > 6, Quantity II > Quantity I, so Option C is correct.

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