If the six digit number 4x573y is divisible by 72 then the value of (x + y) is:
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e. 8
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Concept |
Understanding |
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 |
Number 4x573y is divisible by 72 |
Last 3 digits 73y must be divisible by 8: Hence, y = 6 Divisibility by 9: [4 + x + 5 + 7 + 3 + 6] should be Divisible by 9. [25 + x] should be Divisible by 9. Hence, x = 2 Hence, (x + y) = 6 + 2 = 8 |