If x is an integer, is 3x odd?

Question

(1) x + 2 is an even integer.
(2) y is an even integer such that 24/y=x

chetan2u · Answer

We know x is an integer, so we just have to check whether it is ODD or EVEN?

lets see the statements-- 
 (1) x + 2 is an even integer. 
clearly X is EVEN..
so 3x is even..
suff

(2) y is an even integer such that 24/y=x 
if y =2, x=12 so ans is NO..
if y= 8, x= 3 so ans is YES
different answers 
Insuff

A

OptimusPrepJanielle · Answer

is 3x odd?

Statement 1: x + 2 is an even integer.
Since 2 is even, hence x will also be even.
Therefore 3x = even
We have a definitive answer that 3x is not odd
Sufficient

Statement 2: y is an even integer such that 24/y=x
y = 4, x = 6 (even)
y = 8, x = 3 (odd)
Hence nothing can be said about x and therefore 3x
Insufficient

Option A

Youraisemeup · Answer

the main question here is to determine whether, x is odd.

A) x+2=e, this means x is e.
 B) y is an even integer such that 24/y=x
well, it could be that 2 or 4 is a factor of y but not 8.
It could also be that 8 is a factor.
Well.. if the first case i.e. 2 or 4 is factor but not 8, then x is even. 
If the latter i.e 8 is a factor, then x is odd.
Thus insuff.

Therefore A.

stonecold · Answer

Clearly A is sufficient
Here we negate B by taking y as 12 and 8
Hence A is the Answer

MathRevolution · Answer

If x is an integer, is 3x odd?

(1) x + 2 is an even integer.
(2) y is an even integer such that 24/y=x 
 
If we modify the original condition and the question, we can modify the question from 3x=odd? to x=odd? There is 1 variable (x) in the original condition. In order to match the number of variables to the number of equations, we need 1 more equation. Since the condition 1) and the condition 2) each has 1 equation, there is high chance that D is the correct answer.
In case of the condition 1), from x+2=even, we get x=even-2=even. The answer is no and the condition is sufficient.
In case of the condition 2), if y-2 we get 24/2=12=x=even, which is no. However, when y=8, we get 24/8=3=x=odd, which is yes. Therefore, the condition is not sufficient.
The correct answer, thus, is A.

l For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.

If x is an integer, is 3x odd?

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GMAT Data Sufficiency (DS) Questions

If x is an integer, is 3x odd?

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