If x is positive is x divisible by 2 ?
(1) x^3+x is divisible by 4
(2) 5x+4 is divisible by 6
x>0. is x a multiple of 2 (i.e. is x an even number)?
I got B for answer.
I am working based on the assumption that x is an integer, so that the question will be within the scope of GMAT..
even + even = even
odd + even = odd
odd + odd = even
even * even = even
even * odd = even
x^3+x=4k ---> k being an integer
if x is even, (x^2+1) will be odd, multiplying both results in 4k (even).
if x is odd, (x^2+1) will be even, which also results in 4k (even)
--> insufficientStatement 2
5x+4=6w ---> w being an integer
if x is even --> 5x will be even --> even + even = even --> results in even outcome i.e. 6w (true)
if x is odd --> 5x will be odd --> odd + even = odd --> results in odd outcome i.e. cannot be 6w
So x must be even.
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