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!