# If 67235x8y6 is divisible by 88, then find the value of y for which x

| If 67235x8y6 is divisible by 88, then find the value of y for which x is maximum.

A. 1

B. 5

C. 7

D. 9

### Right Answer is: D

#### SOLUTION

For the number to be divisible by 88 it should be divisible by 8 and 11 both.

For divisibility by 8, last three digits should be divisible by 8.

Here, 8y6 is divisible by 8 when y = 1, 5, 9

For divisibility by 11, difference between the sum of digits at odd places and sum of digits at even places should be divisible by 11 or 0.

(6+2 + 5+ 8 +6) – (7+3+x +y) = 17 – x – y

For y = 1; x = 5

for y = 5; x= 1

for y= 9; x = 8

So, x = 8 is maximum when y = 9

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If 67235x8y6 is divisible by 88, then find the value of y for which x

If 67235x8y6 is divisible by 88, then find the value of y for which x