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Is x an integer? -- x is evenly divisible by 1/2

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Is x an integer? -- x is evenly divisible by 1/2 [#permalink] New post 03 Dec 2010, 04:40
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Hello :)
could you please help to solve this problem!
i'm solving some GMAT sample exam, but today i found this problem:

1. Is x an integer?
-- x is evenly divisible by 1/2.
-- x is evenly divisible by 2.

i dont understand what is the meaning of this quotation?

what is "evenly divisible by 1/2 or 2" mean, could you show me some more example and describe it to me more.

Thanks
Farshid
[Reveal] Spoiler: OA
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Re: Is x an integer? [#permalink] New post 03 Dec 2010, 04:58
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fghasemi wrote:
Hello :)
could you please help to solve this problem!
i'm solving some GMAT sample exam, but today i found this problem:

1. Is x an integer?
-- x is evenly divisible by 1/2.
-- x is evenly divisible by 2.

i dont understand what is the meaning of this quotation?

what is "evenly divisible by 1/2 or 2" mean, could you show me some more example and describe it to me more.

Thanks
Farshid


Welcome to Gmat Club Farshid,

Can you please post PS questions in the PS subforum: gmat-problem-solving-ps-140/ and DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

No posting of PS/DS questions is allowed in the main Math forum.

Back to the question.

Is x an integer?
(1) x is evenly divisible by 1/2.
(2) x is evenly divisible by 2.

This is not a good question. Definitely not a GMAT type.

On GMAT when we are told that a is divisible by b (or which is the same: "a is multiple of b", or "b is a factor of a"), we can say that:
1. a is an integer;
2. b is an integer;
3. \frac{a}{b}=integer.

So the terms "divisible", "multiple", "factor" ("divisor") are used only about integers (at least on GMAT).

So, you won't see statement like "x is evenly divisible by 1/2" on GMAT.

Suppose that the intended meaning of this question was as below:

Is x an integer?
(1) x divided by 1/2 is an integer --> now, if x=1 (1 divided by 1/2 equals to 2) then the answer to the question will be YES but if x=0.5 (0.5 divided by 1/2 equals to 1) then the answer to the question will be NO. Not sufficient.

(2) x is evenly divisible by 2 --> directly tells us that x is an even integer. Sufficient.

Answer: B, (so answer A is also incorrect).

For more on number theory check: math-number-theory-88376.html

Hope it helps.
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Re: Is x an integer?   [#permalink] 03 Dec 2010, 04:58
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