amorphous wrote:
If the integer x is divisible by 3 but not by 2, then which one of the following is never a integer?
A \(\frac{x+1}{2}\)
B \(\frac{x}{7}\)
C \(\frac{x^2}{3}\)
D \(\frac{x^3}{3}\)
E \(\frac{x}{24}\)
source: orbit test prep
Here,
As the question tells us that x is not divisible by 2 then we have to look the denominator any even value divisible by 2 will give the answer.
But here we are left with 2 option. Option A and Option E
In option A , the number \(\frac{x+1}{2}\) will be divisible by 2, since the numerator: x + 1 = Even number (since x is odd, so Odd + 1 = even number and it will be divisible by 2)
So we are left with option E
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