JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

A number is selected at random from the first twenty-five natural numbers. If it is a composite number then it is divided by 5. But if it is not a composite number, it is divided by 2. The probability that there will be no remainder in the division is

Answer: (C)

Solution

Composite numbers in –: — 15 of them; the other 10 ( and the primes ) are not composite. - Composite and divisible by 5: — 4, so

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Question ID VK-109952