If an 8-digit number 179x091y is divisible by 88, the value of (5x – 8y) is?
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e. 4
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Concept |
Understanding/Application |
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For divisibility by 88, number should be divisible by 11 and 8 both. |
179x091y is divisible by 88:
For divisible by 8 last 3 digit of the number (91y) must be divisible by 8. So, the value of y can be 2. For divisibility by 11, difference of sum of digits at odd place and sum of digits at even place must be zero or divisible by 11. So, (11) – (16 + x + y) = 0 or multiple of 11 Only one value of x that is x = 4 will satisfy the equation. By putting y = 2 and x = 4 Hence, 5x – 8y = 5 × 4 – 8 × 2 = 4 |