If x > y, x < 6, and y > -3, what is the largest prime number that could be equal to x + y?

[BTGmoderatorDC]

If x > y, x < 6, and y > -3, what is the largest prime number that could be equal to x + y?

A. 11
B. 13
C. 7
D. 5
E. 2



OA A

Source: Manhattan Prep

[Brent@GMATPrepNow]

If x > y, x < 6, and y > -3, what is the largest prime number that could be equal to x + y?

A. 11
B. 13
C. 7
D. 5
E. 2



OA A

Source: Manhattan Prep

The key here is to recognize that the question does NOT state that x and y are integers

Given: -3 < y < x < 6

B) 13
Let's first see if there is a way for x + y to equal 13, the greatest answer choice
Since we are told that x and y are each less than 6, there is no way for their sum to equal 13
Eliminate answer choice B

A) 11
Now let's try the second greatest answer choice, 11
Is there a way for x + y to equal 11?
You bet.
If x =5.9 and y = 5.1, then x + y = 11

Answer: A

Cheers,
Brent

[Scott@TargetTestPrep]

If x > y, x < 6, and y > -3, what is the largest prime number that could be equal to x + y?

A. 11
B. 13
C. 7
D. 5
E. 2



OA A

Source: Manhattan Prep

Since y < x and x < 6, x + y < 2x < 12. Therefore, the largest prime number that could be equal to x + y is 11 (for example, we can let x = 5.6 and y = 5.4).

(Note: Do not assume that x and y have to be integers since the problem doesn’t mention that. If it does, then the answer would be 7 by either letting x = 5 and y = 2 or x = 4 and y = 3.)

Answer: A