Question : Two friends, P and Q, start running around a circular track from the same point. They run in the same direction. P runs at 6 m/sec and Q runs at b m/sec. If they cross each other at exactly two points on the circular track and b is a natural number less than 6, how many values can b take?
Option 1: 2
Option 2: 1
Option 3: 4
Option 4: 3
Correct Answer: 1
Solution :
If the ratio of their speeds is
Given: b is a natural number less than 6
Checking for
Checking for
Checking for
Checking for
Checking for
The condition is satisfied only when b = 2. So, b can take only one value.
Hence, the correct answer is 1.
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