x can take any values between 1 and 3 ( both included), y can take any values between 2 and 4 ( both included).

Please note x and y can even take decimal values.

For simplification lets work with integer values only

Statement 1 3 * 2 =6 [yes, xy > 5]

But, 2 * 2 = 4 [ No, xy is not greater than 5]

We have two answers to the questions from statement 1. Hence statement 1 is not sufficient.

Options

A and

D are eliminated.

Statement 2 says x + y = 5

When x = 1, y = 4 xy <5

When x = 2, y = 3 xy >5

Here, again we have two answers to our question. Hence, statement two alone is not sufficient.

Option

B is eliminated.

Now, lets combine both the statements and check.

x = 1, y = 4 xy < 5

x = 3, y = 2 xy > 5

We do not have an definite answer. Both the statements together are also not sufficient.

Hence, option E

Regards,

Harish

_________________

Kindly consider for kudos if my post was helpful!