What is the value of x so that the seven digit number 5656x52 is divisible by 72?
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e.7
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Concept |
Application |
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Divisibility rule: If a number is divisible by 72 it must be divisible by 8 and 9 Divisibility by 8: Last 3 digits must be divisible by 8. Divisibility by 9: Sum of all digits should by divisible by 9 |
Last 3 digits x52 must be divisible by 8: Hence, x = 7 or 5 If we put x = 5, then number becomes 5656552 which not divisible by 9. If we put x = 7, then number becomes 5656752 which divisible by 9. Hence, x = 7 |