Question:medium

The diameter of the wheel of a motorcycle is 70 cm. What would be its speed in kmph?

Statement 1: The ratio of revolutions to diameter is 2 : 3.
Statement 2: It makes 40 revolutions for every 10 seconds.

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Speed needs revolutions per unit TIME, not just a ratio to diameter; check which statement actually supplies a time reference.
Updated On: Jul 20, 2026
  • If the data in statement (1) alone is sufficient to answer the question, but the data in statement (2) alone is not sufficient.
  • If the data in statement (2) alone is sufficient to answer the question, but the data in statement (1) alone is not sufficient.
  • If the data in both the statements together are needed to answer the question.
  • If either statement (1) alone or statement (2) alone is sufficient to answer the question.
  • If the data in neither statement (1) nor statement (2) is sufficient to answer the question, and more data is needed.
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The Correct Option is B

Solution and Explanation

Think of this problem in two separate pieces: geometry (the circumference) and kinematics (distance per unit time). The diameter of 70 cm is already known from the question itself, so the circumference is fixed at (22/7) x 70 = 220 cm regardless of any statement.

Now look at what each statement adds. Statement 1 gives a ratio of 'revolutions' to 'diameter' as 2:3. Ratios like this only work when both quantities being compared make sense on their own scale, and 'revolutions' without saying revolutions-per-second or revolutions-per-minute is just a raw count with no time attached. You cannot build a speed (distance/time) out of a count that has no time component, so this statement is a dead end no matter how you manipulate it.

Statement 2 directly anchors revolutions to time: 40 revolutions in 10 seconds, i.e., 4 revolutions per second. Multiply revolutions per second by the circumference to get linear speed: 4 x 220 cm/s = 880 cm/s. Convert step by step: 880 cm/s = 8.8 m/s, and multiplying by 3.6 (since 1 m/s = 3.6 km/h) gives 31.68 kmph. Since this fully answers the question on its own, and statement 1 never could, the answer is (b) - statement 2 alone suffices.
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