If the seven digit number 64x29y6 (x > y) is divisible by 72, what is the value of (2x – 3y)?
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e. 3
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Concept |
Understanding |
Application |
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For divisibility by 72, number should be divisible by 8 and 9 both. |
64x29y6 should be divisible by 8 and 9 both. |
Divisibility rule of 8, ⇒ Last three digits 9y6 should be divisible by 8. So, minimum value of y = 3 Divisibility rule of 9, Sum of digits should be divisible by 9: 6 + 4 + x + 2 + 9 + 3 + 6 should be divisible by 9: ⇒ 30 + x should be divisible by 9 So, x = 6 The value of (2x – 3y) = 12 – 9 = 3 |