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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If S^2 > T^2 , which of the following must be true?  Question banks Downloads My Bookmarks Reviews Important topics
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If S^2 > T^2 , which of the following must be true? [#permalink]
Expert's post 00:00

Question Stats: 65% (00:50) correct 34% (00:57) wrong based on 32 sessions
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]
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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

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]
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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

Note: squared value is equivalent to absolute value.

The best answer is D. Target Test Prep Representative Status: Head GRE Instructor
Affiliations: Target Test Prep
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Re: If S^2 > T^2 , which of the following must be true? [#permalink]
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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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# Jeffrey Miller

Head of GRE Instruction

Jeff@TargetTestPrep.com

See why Target Test Prep is the top rated GRE quant course on GRE Prep Club. Read Our Reviews Re: If S^2 > T^2 , which of the following must be true?   [#permalink] 22 Jul 2018, 17:30
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