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Re: If x and y are greater than 0, is x = 1 ? [#permalink]

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14 Aug 2011, 09:05

cellydan wrote:

Why 2 isn't sufficient is that X or Y can also be fractions.

X = 1/2, Y = 2

XY = 1

You are not wrong, but check there are multiple values that x can take ? As per GMAC - All numbers are real numbers if not mentioned.

If X and Y are greater than 0, is x=1? Question gives : If X and Y are greater than 0. Question asks : Is X = 1? --> Yes/No (1) x/y = 1 Since y > 0 as per question stem, so x=y x > 0 , so x can take any value - 1,2,3,etc So 1 is not sufficient (2) xy = 1 If x is equal to 1, then y is equal to 1 If x is equal to 2, then y is equal to 1/2 If x is equal to 3, then y is equal to 1/3 All are valid, but there is no unique value of x. So (2) is not sufficient

Combining 1 and 2 - xy=1 and x=y \(XY = 1\) => \(x^2 = 1\) => \(x = +1 or -1\) But question tells x is greater than 1 So\(x = 1\)is the only value x can take.

OA is C _________________

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Re: If x and y are greater than 0, is x = 1 ? [#permalink]

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10 Sep 2011, 04:00

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DeeptiM wrote:

If x and y are greater than 0, is x=1?

1) x/y=1 2) xy=1

ST 1 x/y=1 and this means x=y so x and y can be 1 , 2, 3 , 4 , ....... EX : 5/5=1 4/4=1 1000/1000=1 NOT sufficient

ST2 xy=1 and means x=1/y so x can be 1/5 so y = 5 EX" 1/5 * 5 = 1 also not sufficient

ST1 & ST2 x=y and xy=1 you can simply find that xx=1 this means x^2 = 1 so x= +1 or x= -1 and because y and x must be larger than 0 so x must be +1 sufficient

the answer is C _________________

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