Is x greater than 2? (You may assume y is not equal to zero.)

Question

(1) x/y is greater than 2.
(2) 1/y is less than 1.

merajul · Answer

(1) x/y >2 => x>2y, Since we don’t know whether y is integer & >0 , So cannot come to a conclusion. INSUFFICIENT

(2) 1/y<1 => y>1, We don’t know the value of x. Irrelevant . INSUFFICIENT.

Adding (1) + (2) , we get x>2 . SUFFICIENT.

Answer C.

niks18 · Answer

Statement 1 : \frac{x}{y}>2 , this implies if y<0 , then x<0 and if 01 , then x>2 , so we will have a Yes for our question stem. Hence insufficient Statement 2 : this implies that either y<0 or y>1 but nothing mentioned about x . Insufficient Combining 1 & 2 we don't know whether y is positive or negative. if y is positive then x>2 but if y is negative then x<2 . Hence insufficient Option E

Adityagmatclub · Answer

(1) x/y >2 => It can be possible by number of values for x and y. so statement 1 does not give sufficient answer. So cannot come to a conclusion. INSUFFICIENT.

(2) 1/y<1 => It does not give any information about value of X. Irrelevant . INSUFFICIENT.

Adding (1) + (2) , now Y is greater than 1, so X should be greater than 2 if X/Y >2 we get x>2 . SUFFICIENT.

Answer C

niks18 · Answer

Hi Adityagmatclub & merajul in your solution, you have assumed that y>0 but the question doesn't mention that neither any of the statements so if y=-1 , then \frac{1}{y}=-1<1 and \frac{x}{y}>2 will imply that x<-2 . Hence we have a NO for our question stem but if y=2 , then \frac{1}{y}=0.5<1 and \frac{x}{y}>2 will imply x>4 . so we have a YES for our question stem. Hence IMO answer should be E

merajul · Answer

niks18 You are right. Should be E. Silly Mistake.

PK32 · Answer

From statement 1 we can deduce that x>2Y ; But we are no sure about value of Y so insufficient.

From Statement 2 we can deduce that y>1;But we are not sure about the value of x

so using both statement we can find the answer for the values of X

So answer is C

Is x greater than 2? (You may assume y is not equal to zero.)

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GMAT Data Sufficiency (DS) Questions

Is x greater than 2? (You may assume y is not equal to zero.)

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