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If x is an integer, and 169 < x^2 < 324
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06 Aug 2014, 13:47
06 Aug 2014, 13:47
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Question Stats:
45% (00:59) correct
54% (00:44) wrong based on 88 sessions
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If x is an integer, and \(169 < x^2 < 324\), which of the following is the sum of all values of x?
(A) 61
(B) 62
(C) 75
(D) 93
(E) None of the above.
_________________
(A) 61
(B) 62
(C) 75
(D) 93
(E) None of the above.
_________________
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Re: GRE Math Challenge #1
[#permalink]
06 Aug 2014, 23:45
06 Aug 2014, 23:45
1
Correct answer is 0, Hence (E).
x = {-17,-16,-15,-14,14,15,16,17}, Sum of all values = 0
x = {-17,-16,-15,-14,14,15,16,17}, Sum of all values = 0
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Re: GRE Math Challenge #1-x is an integer, and 169 < x^2 < 324
[#permalink]
20 Dec 2017, 06:21
20 Dec 2017, 06:21
2
Expert Reply
soumya1989 wrote:
Level 170 question
If x is an integer, and \(169 < x^2 < 324\), which of the following is the sum of all values of x?
(A) 61
(B) 62
(C) 75
(D) 93
(E) None of the above.
If x is an integer, and \(169 < x^2 < 324\), which of the following is the sum of all values of x?
(A) 61
(B) 62
(C) 75
(D) 93
(E) None of the above.
We are given that 169 < x^2 < 324. That is, 13 < |x| < 18. If x is positive, x = 14, 15, 16, 17. If x is negative, x = -14, -15, -16, -17. We see that for every positive value of x, the opposite (or negative) is also a possibility. Thus, the sum of all values of x will be zero.
Answer: E
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Jeffrey Miller | Head of GMAT Instruction | Jeff@TargetTestPrep.com
Re: If x is an integer, and 169 < x^2 < 324
[#permalink]
16 Dec 2019, 11:01
16 Dec 2019, 11:01
Expert Reply
Bump for further discussion
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Re: If x is an integer, and 169 < x^2 < 324
[#permalink]
05 May 2023, 10:18
05 May 2023, 10:18
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