Question

If the number 7254*98 is divisible by 22, the digit at * is

(A) 1 (B) 2 (C) 6 (D) 0

Answer 1

(C) 6

Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, then the original number.

7 – 2 + 5 – 4 + * – 9 + 8 = (5 + *)

For the given number 7254 * 98 to be divisible by 11,

(5 + *) must also be divisible by 11

So, 5 + * = 11

Therefore * = 11 – 5

= 6