Multiple choice

A number when divided by $2, 3$ or $5$ gives remainder $1$. The number is

  1. $31$
  2. $47$
  3. $49$
  4. $53$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The number must be of the form LCM(2, 3, 5) * k + 1. LCM(2, 3, 5) = 30. So the number is 30k + 1. For k=1, the number is 31.

AI explanation

Find the least common multiple of the divisors 2, 3, and 5, which is 30. Since the number leaves a common remainder of 1, it must be of the form 30k plus 1. Testing the options for multiples of 30 plus 1, 30 times 1 plus 1 equals 31.

Keep practicing — related questions