Discussion

Explanation:

In order for x754 to be divisible by 11, 

Sum of digits at odd places (o) = 7 + 4 

Sum of digits at even places (e) = x + 5

For this number to be divisible by 11, difference of ‘o’ and ‘e’ should be divisible by 11.

∴ o – e = (7 + 4) – (x + 5) = (6 – x) should be divisible by 11.

⇒ x = 6

In order y246 to be divisible by 9, sum of its digits should be divisible by 9.

∴ y + 2 + 4 + 6 = y + 12 should be divisible by 9. 

The only number which satisfies this condition is 6. 

Hence y = 6

∴ xy = 66

Hence, option (b).

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