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If S^2 > T^2 , which of the following must be true?
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18 Jul 2018, 17:11
18 Jul 2018, 17:11
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Question Stats:
59% (01:02) correct
40% (01:10) wrong based on 137 sessions
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If \(S^2 > T^2\) , which of the following must be true?
(A) \(S > T\)
(B) \(S^2 > T\)
(C) \(ST > 0\)
(D) \(|S| > |T|\)
(E) \(ST < 0\)
Kudos for R.A.E
(A) \(S > T\)
(B) \(S^2 > T\)
(C) \(ST > 0\)
(D) \(|S| > |T|\)
(E) \(ST < 0\)
Kudos for R.A.E
Re: If S^2 > T^2 , which of the following must be true?
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18 Jul 2018, 19:41
18 Jul 2018, 19:41
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Carcass wrote:
If \(S^2 > T^2\) , which of the following must be true?
(A) \(S > T\)
(B) \(S^2 > T\)
(C) \(ST > 0\)
(D) \(|S| > |T|\)
(E) \(ST < 0\)
Kudos for R.A.E
(A) \(S > T\)
(B) \(S^2 > T\)
(C) \(ST > 0\)
(D) \(|S| > |T|\)
(E) \(ST < 0\)
Kudos for R.A.E
Here,
It will be option D, since The square root of a number squared is equal to the absolute value of that number
i.e. \(\sqrt{S^2} = |S|\)
option (A) does not have to be true, if S could be negative while T is positive.
option (B) does not have to be true. because if we consider fraction
Option (C) does not have to be true because S and T could have opposite signs.
OPtion (E) does not have to be true because S and T could have the same sign.
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Re: If S^2 > T^2 , which of the following must be true?
[#permalink]
19 Jul 2018, 12:30
19 Jul 2018, 12:30
1
Carcass wrote:
If \(S^2 > T^2\) , which of the following must be true?
(A) \(S > T\)
(B) \(S^2 > T\)
(C) \(ST > 0\)
(D) \(|S| > |T|\)
(E) \(ST < 0\)
Kudos for R.A.E
(A) \(S > T\)
(B) \(S^2 > T\)
(C) \(ST > 0\)
(D) \(|S| > |T|\)
(E) \(ST < 0\)
Kudos for R.A.E
Note: squared value is equivalent to absolute value.
The best answer is D.
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Re: If S^2 > T^2 , which of the following must be true?
[#permalink]
22 Jul 2018, 17:30
22 Jul 2018, 17:30
1
Expert Reply
Carcass wrote:
If \(S^2 > T^2\) , which of the following must be true?
(A) \(S > T\)
(B) \(S^2 > T\)
(C) \(ST > 0\)
(D) \(|S| > |T|\)
(E) \(ST < 0\)
(A) \(S > T\)
(B) \(S^2 > T\)
(C) \(ST > 0\)
(D) \(|S| > |T|\)
(E) \(ST < 0\)
Taking the square root of both sides, we have:
|S| > |T|
Note: If you are wondering why B is not true, take S = 2/5 and T = 1/5.
Answer: D
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Re: If S^2 > T^2 , which of the following must be true?
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05 Aug 2021, 10:15
05 Aug 2021, 10:15
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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