Question

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

Options

• 1

• 2

• 6

• 0

Answer 1

If the number 7254 * 98 is divisible by 22, the digit at * is 6.

Explanation:

7254 * 98 is divisible by 22, if it is divisible by both 2 and 11.

Given number is even, therefore it is divisible by 2.

7254 * 98 is divisible by 11, if (7 + 5 + * + 8) – (2 + 4 + 9) or (20 + *) – 15 or 5 + * is divisible by 11.

∴ The digit at * should be filled by 6.