Question : What is the least value of x + y, if the 10-digit number 780x533y24 is divisible by 88?
Option 1: 4
Option 2: 3
Option 3: 1
Option 4: 2
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Correct Answer: 2
Solution :
Given: A 10-digit number 780x533y24 is divisible by 88.
Then, it must be divisible by 11 and 8.
According to the divisibility rules,
$\mathrm{y}24$ must be divisible by 8.
$(7+0+5+3+2)–(8+x+3+y+4)=0$ or multiple of 11.
⇒ $2–(x+y)=0$ or multiple of 11.
(It can not be a multiple of 11. Hence, should be zero).
⇒ $x+y=2$
Hence, the correct answer is 2.
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