amanvermagmat wrote:

x and y are two single digit positive integers. What is the value of sum (x+y)?

(1) The four digit number xyyx is divisible by 11.

(2) The four digit number x4y9 is divisible by 11.

Since its a value question, we need to get a definite value

Statement 1

x & y are two single digit positive integers, The four digit number xyyx is divisible by 11

1221 / 11, here sum will be 6

2332 / 11, here sum will be 10

3443 / 11, here sum will be 14

Insufficient

Statement 2

The four digit number x4y9 is divisible by 11

For this to be divisible by 11, value satisfying will be 4499 , x+y = 13

Another logic There is a rule which states for a number to be divisible by 11,Take the alternating sum of the digits in the number, read from left to right.

eg: 31415 = 3-1+4-1+5 = 10, 10 is not / by 11

31416 = 3-1+4-1+6 = 11, 11 is / by 11

x-4+y-9 / 11 = Integer

x+y -13 = 11 * I

x+y = 11 I + 13

This says that x+y =13

IMO Answer is B

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