Question

What should replace * in the number 94*2357, so that number is divisible by 11?

• A. 8
• B. 7
• C. 3
• D. 1

Answer 1

Answer:

C. 3

Divisibility law of 11: If the difference of the alternating sum of digits of the number is a multiple of 11 (e.g. 2343 is divisible by 11 because 2 – 3 + 4 - 3 = 0, which is a multiple of 11). The number 94*2357 is divisible by 11, then ⇒ 9 – 4 + * – 2 + 3 – 5 + 7 = 0 ⇒ 19 + * – 11 = 0 ⇒ (*) = – 8 ⇒ or * = 11 - 8 = 3