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If (x-5)(y+2) = 0 which of the following must be true?

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If (x-5)(y+2) = 0 which of the following must be true? [#permalink] New post 31 Jan 2013, 06:41
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If (x-5)(y+2) = 0 which of the following must be true?

(A) x = y
(B) x > y
(C) x < y
(D) xy = -10
(E) None of the above
[Reveal] Spoiler: OA

Last edited by Bunuel on 31 Jan 2013, 06:50, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Please help me to solve this question [#permalink] New post 31 Jan 2013, 06:55
Expert's post
sananoor wrote:
if (x-5)(y+2)=0 which of the following must be true?

(A)X=Y
(b) X>Y
(C)X<Y
(d)XY=-10
e.none of th above


If (x-5)(y+2) = 0 which of the following must be true?

(A) x = y
(B) x > y
(C) x < y
(D) xy = -10
(E) None of the above

From (x-5)(y+2) = 0 it follows that either x=5 or y=-2.

(A) x = y --> not necessarily true. Consider x=5 and y=0.
(B) x > y --> not necessarily true. Consider x=5 and y=10.
(C) x < y --> not necessarily true. Consider x=5 and y=0.
(D) xy = -10 --> not necessarily true. Consider x=5 and y=0.

Thus, none of the statements must be true.

Answer: E.

Hope it's clear.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rule #3 (the name of a topic MUST be the first 40 characters (~the first two sentences) of the question).
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Re: If (x-5)(y+2) = 0 which of the following must be true? [#permalink] New post 31 Jan 2013, 08:10
i didnt get this how u consider X and Y values when it is given in the question
If (x-5)(y+2) this means that X = 5 and Y = -2
thus XY = -10 and X > Y..:(
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Re: If (x-5)(y+2) = 0 which of the following must be true? [#permalink] New post 31 Jan 2013, 08:20
Expert's post
sananoor wrote:
i didnt get this how u consider X and Y values when it is given in the question
If (x-5)(y+2) this means that X = 5 and Y = -2
thus XY = -10 and X > Y..:(


(x-5)(y+2) = 0 means that EITHER x=5 OR y=-2. For example, if x=5, then y can be any number. The same way, if y=-2, then x can be any number.
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PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: If (x-5)(y+2) = 0 which of the following must be true? [#permalink] New post 31 Jan 2013, 16:08
Bunuel wrote:
sananoor wrote:
i didnt get this how u consider X and Y values when it is given in the question
If (x-5)(y+2) this means that X = 5 and Y = -2
thus XY = -10 and X > Y..:(


(x-5)(y+2) = 0 means that EITHER x=5 OR y=-2. For example, if x=5, then y can be any number. The same way, if y=-2, then x can be any number.



Bunuel, although your solution is perfect, I would just point out a rewording suggestion on your last comment. (x-5)(y+2) =0 means that x = 5 OR y =-2 (without the EITHER). Obviously both equalities COULD happen simultaneously, but they don't HAVE TO happen simultaneously in order for the equation in stem to be valid
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Re: If (x-5)(y+2) = 0 which of the following must be true?   [#permalink] 31 Jan 2013, 16:08
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