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If S^2 > T^2 , which of the following must be true?

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If S^2 > T^2 , which of the following must be true? [#permalink] New post 18 Jul 2018, 17:11
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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) \(ST < 0\)

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[Reveal] Spoiler: OA

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Re: If S^2 > T^2 , which of the following must be true? [#permalink] New post 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) \(ST < 0\)

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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] New post 19 Jul 2018, 12:30
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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) \(ST < 0\)

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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] New post 22 Jul 2018, 17:30
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Expert's post
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) \(ST < 0\)


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?   [#permalink] 22 Jul 2018, 17:30
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If S^2 > T^2 , which of the following must be true?

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