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

#### Options

1

2

6

0

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#### Solution

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.

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