Multiple choice

Let x be the least number which when divided by 8, 12, 20, 28, 35 leaves a remainder of 5 in each case, then the sum of digits of x is:

  1. 17

  2. 14

  3. 11

  4. 15
Reveal answer Fill a bubble to check yourself
A Correct answer
AI explanation

To leave a remainder of 5 in each case, the number x must be exactly 5 more than a common multiple of 8, 12, 20, 28, and 35. The least common multiple of these divisors is 840. Adding 5 gives the least such number, x = 845, and the sum of its digits is 8 + 4 + 5 = 17.

Keep practicing — related questions