What is the smallest positive number that leaves a remainder

What is the smallest positive number that leaves a remainder of 2 when the number is divided by 3, 4 or 5? (A) 22 (B) 42 (C) 62 (D) 82

Solution

We will proceed from the smallest given numbers in an ascending order. The number 22, when divided by 3, leaves a remainder of 1 and the number 42 is divisible by 3. Therefore, these 2 choices are incorrect.

The number 62, when divided by, 3,4 or 5 leaves a remainder of 2. Hence the option (C) is the correct answer.