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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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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BTGmoderatorDC
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Plug in numbers.BTGmoderatorDC wrote: ↑Mon Nov 23, 2020 4:34 pmx 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
\(y=17, 34, 51\)
\(x= pn_1^2+ pn_2^2, y=17Q\)
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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Solution:BTGmoderatorDC wrote: ↑Mon Nov 23, 2020 4:34 pmx 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
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
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GMAT/MBA Expert
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Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7245
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
Solution:BTGmoderatorDC wrote: ↑Mon Nov 23, 2020 4:34 pmx 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
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]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
