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# If x = 2 and y = –1, which one of the following expressions is greates

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Joined: 02 Sep 2009
Posts: 58400
If x = 2 and y = –1, which one of the following expressions is greates  [#permalink]

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10 Apr 2019, 23:18
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Difficulty:

25% (medium)

Question Stats:

71% (00:31) correct 29% (00:40) wrong based on 34 sessions

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If x = 2 and y = –1, which one of the following expressions is greatest?

(A) x + y
(B) xy
(C) –x + y
(D) x – y – 1
(E) –x – y

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If x = 2 and y = –1, which one of the following expressions is greates  [#permalink]

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Updated on: 11 Apr 2019, 03:06
Bunuel wrote:
If x = 2 and y = –1, which one of the following expressions is greatest?

(A) x + y
(B) xy
(C) –x + y
(D) x – y – 1
(E) –x – y

(A) x + y= 1
(B) xy= -2
(C) –x + y= -3
(D) x – y – 1 = 2
(E) –x – y= -3
IMO D is greatest

Originally posted by Archit3110 on 11 Apr 2019, 00:56.
Last edited by Archit3110 on 11 Apr 2019, 03:06, edited 1 time in total.
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Re: If x = 2 and y = –1, which one of the following expressions is greates  [#permalink]

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11 Apr 2019, 03:00
Archit3110 wrote:
Bunuel wrote:
If x = 2 and y = –1, which one of the following expressions is greatest?

(A) x + y
(B) xy
(C) –x + y
(D) x – y – 1
(E) –x – y

(A) x + y= 1
(B) xy= -2
(C) –x + y= -3
(D) x – y – 1 = 0
(E) –x – y= -3
IMO A is greatest

y=-1
so isn't D=2 ?
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Re: If x = 2 and y = –1, which one of the following expressions is greates  [#permalink]

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11 Apr 2019, 06:16
Bunuel wrote:
If x = 2 and y = –1, which one of the following expressions is greatest?

(A) x + y
(B) xy
(C) –x + y
(D) x – y – 1
(E) –x – y

Simple substitution is good enough for this question

However logically also one can see the following observations

(A) x + y = +ve + (-ve) i.e. <x
(B) xy = -ve so OUT
(C) –x + y = -ve+ (-ve ) = -ve OUT
(D) x – y – 1 = +ve - (-ve) -1 = +ve + +ve - 1 POSSIBLE
(E) –x – y = -ve - (-ve ) = -ve because x has higher absolute value than y so OUT

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Re: If x = 2 and y = –1, which one of the following expressions is greates   [#permalink] 11 Apr 2019, 06:16
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