Which of the following number is neither divisible by 3 nor by 11?
Show answer & explanation
Correct answer: C
Explanation
Given:
Numbers = 3234, 2871, 4567, 3003
According to the formulas:
Divisibility by 3 → The sum of the digits is divisible by 3.
Divisibility by 11 → (Sum of digits at odd places) − (Sum of digits at even places) is a multiple of 11.
3234 → Sum = 3+2+3+4 = 12 (Divisible by 3)
2871 → Sum = 2+8+7+1 = 18 (Divisible by 3)
4567 → Sum = 4+5+6+7 = 22 (Not divisible by 3)
Check for 11: (4+6) − (5+7) = 10 − 12 = −2 ⇒ Not divisible by either.
3003 → Sum = 3+0+0+3 = 6 (Divisible by 3)