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

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Carcass
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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 S2>T2 , which of the following must be true?

(A) S>T

(B) S2>T

(C) ST>0

(D) |S|>|T|

(E) ST<0

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D
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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 S2>T2 , which of the following must be true?

(A) S>T

(B) S2>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. √S2=|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 S2>T2 , which of the following must be true?

(A) S>T

(B) S2>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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Carcass wrote:
If S2>T2 , which of the following must be true?

(A) S>T

(B) S2>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] New post   14 Oct 2024, 13:05
Under which circumstance would B not be true?
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Re: If S^2 > T^2 , which of the following must be true? [#permalink]
14 Oct 2024, 13:05
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