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TAGS: Active Member  Joined: 07 Jan 2018
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If the integer x is divisible by 3 but not by [#permalink]
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Question Stats: 77% (00:39) correct 22% (00:45) wrong based on 18 sessions
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
[Reveal] Spoiler: OA VP Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
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Re: If the integer x is divisible by 3 but not by [#permalink]
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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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GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests Manager  Joined: 06 Jun 2018
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Re: If the integer x is divisible by 3 but not by [#permalink]
1
KUDOS
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

Note : x is divisible by 2 not by 3. It means that x is not divisible by 6.

Option E.

x/24

= $$\frac{x}{4*6}$$

Thus option E is never a integer.

Hope it's clear. Re: If the integer x is divisible by 3 but not by   [#permalink] 17 Jul 2018, 08:01
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