Question
The number X4531Y, where X and Y are single-digit numbers, is divisible by 72. Then X - Y is equal to
Answer: Option E
:
E
If a number is divisible by 72, it is divisible by 8 and 9. To be divisible by 8, the number formed by the last three digits should be divisible by 8. Therefore, 31Y should be divisible by 8⇒ Y = 2. To be divisible by 9, the sum of the digits of the number should be divisible by 9⇒ X = 3. Therefore, X-Y = 1
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:
E
If a number is divisible by 72, it is divisible by 8 and 9. To be divisible by 8, the number formed by the last three digits should be divisible by 8. Therefore, 31Y should be divisible by 8⇒ Y = 2. To be divisible by 9, the sum of the digits of the number should be divisible by 9⇒ X = 3. Therefore, X-Y = 1
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