Question

If the given number 925x85 is divisible by 11, then the smallest value of x is:

• A. 2
• B. 4
• C. 1
• D. 3

Answer 1

Answer:

B. 4

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 925x85 is divisible by 11, then 9 – 2 + 5 – x + 8 – 5 = 11 ⇒ ⇒ 15 – x = 11 ⇒ x = 15 – 11 ⇒ x = 4