Is a two-digit number XY even? (1) LCM of X and Y is even (2) X is ev

A number is even if the unit's place of that number is even. We have to determine if XY is even. Hence the question essentially asks us to find if Y is even.

Rewording the question : Is Y even ?

Statement 1

LCM of X and Y is even

This statement tells us that atleast X or Y is even. But doesn't give any information if Y is even.

Ex. X = 2 Y = 3; LCM is 6

Is XY i.e. 23 even - The answer is No.

X = 2 Y = 2; LCM is 2

Is XY i.e. 22 even - The answer is Yes.

As we are getting two different answers we can eliminate A and D

Statement 2

Gives information about X, but we need information on Y.

Hence this statement is not sufficient and we can rule out B.

Combined

Doesn't provide any additional information on Y. Both the cases discussed in Statement 1 hold true, hence we can rule out C as well.

Option E