If the nine-digit number 8175x45y2 is divisible by 72, then find the largest value of y:
Show answer & explanation
Correct answer: D
Explanation
Correct Answer is option 4 i.e. 9
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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. |
Eight-digit no.: 8175x45y2 is divisible by 72
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Last 3 digits 5y2 must be divisible by 8: Hence, y = 9 or 5 or 1 Largest value of y = 9
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