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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

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by BTGmoderatorDC » Mon Nov 23, 2020 4:34 pm

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C

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Difficulty—

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
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Re: 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

by swerve » Tue Nov 24, 2020 12:24 pm
BTGmoderatorDC wrote: ↑
Mon Nov 23, 2020 4:34 pm
 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
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Re: 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

by Scott@TargetTestPrep » Mon Nov 30, 2020 10:43 am
BTGmoderatorDC wrote: ↑
Mon Nov 23, 2020 4:34 pm
 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

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Re: 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

by Scott@TargetTestPrep » Sat Dec 05, 2020 3:21 pm
BTGmoderatorDC wrote: ↑
Mon Nov 23, 2020 4:34 pm
 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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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