x and y are integers less than 60 such that x is equal to the sum of the squares of two distinct prime numbers, and y

[BTGmoderatorDC]

x and y are integers less than 60 such that x is equal to the sum of the squares of two distinct prime numbers, and y is a multiple of 17. Which of the following could be the value of x – y?

A. –19
B. –7
C. 0
D. 4
E. 9


OA C

Source: Princeton Review

[swerve]

x and y are integers less than 60 such that x is equal to the sum of the squares of two distinct prime numbers, and y is a multiple of 17. Which of the following could be the value of x – y?

A. –19
B. –7
C. 0
D. 4
E. 9


OA C

Source: Princeton Review

Plug in numbers.
\(y=17, 34, 51\)
\(x= pn_1^2+ pn_2^2, y=17Q\)

Anything higher is \(>60\)
\(2\) as first number:
\(4+9 = 13, 4+25 = 29, 4+49 = 53\)

\(3\) as first number:
\(9+25 = 34\)
\(9+49 = 58\)
Anything higher is \(>60\)

\(34\) should immediately pop out as being a possible value of both \(x\) and \(y\), thus \(x-y\) could \(= 0\).

Therefore, C

[Scott@TargetTestPrep]

x and y are integers less than 60 such that x is equal to the sum of the squares of two distinct prime numbers, and y is a multiple of 17. Which of the following could be the value of x – y?

A. –19
B. –7
C. 0
D. 4
E. 9


OA C

Source: Princeton Review

Solution:

If x = 3^2 + 5^2 = 34 and y = 34, we see that x - y could be 34 - 34 = 0.

Answer: C

[Scott@TargetTestPrep]

x and y are integers less than 60 such that x is equal to the sum of the squares of two distinct prime numbers, and y is a multiple of 17. Which of the following could be the value of x – y?

A. –19
B. –7
C. 0
D. 4
E. 9


OA C

Solution:

If x = 3^2 + 5^2 = 34 and y = 34, we see that x - y could be 34 - 34 = 0.

Answer: C