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HCF & LCM · Question 52 of 63

Question 52

MediumOriginal question

Two meshing gears have 24 and 36 teeth. A tooth on each is marked, and the two marked teeth are touching. How many full turns must the smaller gear make before the marked teeth touch again for the first time?

Options for question 52

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. The marks meet again after LCM⁡(24,36)=72\operatorname{LCM}(24, 36) = 72 teeth have passed.

  2. Turns of the smaller gear = 72÷24=372 \div 24 = 3.

Worth noting

72 is the number of teeth that pass, not the number of turns. The larger gear makes 72÷36=272 \div 36 = 2 turns.

Concept
LCM for gears
Typical time
60 s
Your time
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