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.
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;
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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