If x and y are integers, is x positive? (1) x = |y| (2) x! = |x|

Question

If x and y are integers, is x positive?

(1) x = |y| 
(2) x! = |x|

varun2014 · Answer

1) for any value of y, X comes out to be +ve.. so sufficient 
2) this will be true only for X equals 1 or 2
M not sure how in case of -ve value the second statement would work

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sachin1991 · Answer

For x to be positive, x cannot take 0 as well. In the first case x can take 0 value and x is clearly negative in second case so neither of the two is sufficient to explain x is positive.

Mo2men · Answer

If x and y are integers, is x positive?

(1) x = |y|

For any negative or positive number X will be always be positive.........the answer is Yes

However, if y and x equal to 0, then X is not positve............................the answer is NO.

P.S. ZERO is Integer but neither positive nor negative.

Insufficient

(2) x! = |x|

This statement implies that x is either 1 or 2. It is always positive.

P.S.: 0! = 1 and is NOT 0

Sufficient

Answer: B

sb0541 · Answer

From Statement 1, x can be 0 or Positive Integer 
Statement is not Sufficient to confirm x > 0

From Statement 1, x can't be negative because factorial for negative numbers are not possible .
x must be a positive integer because if x = 0 then 0! = 1 = |x| = |0| is not possible .
x is a positive integer .
Statement 2 is sufficient

Answer is B .

If x and y are integers, is x positive? (1) x = |y| (2) x! = |x|

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GMAT Data Sufficiency (DS) Questions

If x and y are integers, is x positive? (1) x = |y| (2) x! = |x|

Prep Toolkit

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