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Question
If the number 7254 * 98 is divisible by 22, the digit at * is ______.
Options
1
2
6
0
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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