dimonya wrote:ugh, such clumsy wording "not divisible by 2 and 3"

i read it as not divisible by 6.....

should be "not divisible by 2 and/or 3"

thats how u lose marks , darn it

an official gmat problem would NEVER contain ambiguous wording such as this. if this problem were official, it would contain "...not divisible by 2 or 3?"

two things, though.

1 * first of all, even though the gmat won't contain ambiguous problem statements**, you still must know the default meaning of certain terms in problem statements. for example, "two integers" are allowed to be the same (e.g., 5 and 5 are "two integers that multiply to give a product of 25"); "or" allows the possibility that both things are true; etc.

2 * on this problem, the answer choices give away the problem's meaning, even though the wording is horrible. it's not hard to see that there are 50 numbers from 1-100 that aren't divisible by 2 (49, if the problem says "between 1 and 100"), so the fact that all choices are under 49 resolves the ambiguity.

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**the gmat will actually go out of its way to avoid ambiguity in problem statements. for instance, it will specify, every time, that you should consider "positive factors", not just "factors". etc.
because the gmat is this precise, make sure that you pay very, very close attention to the wording of problems, be very literal, and avoid making assumptions.
see OG11 data sufficiency #146 (don't post details here), on which you must actively avoid the assumption that the variable n stands for an integer.

Alara533 wrote:

mariah wrote:114. How many numbers between 1 and 100 are ...

I have a doubt here, since its mentioned between, should we include 100?
In that case, the number of multiples of 2 will be 49 and not 50!!

you are correct.
by default, "between" is exclusive of the stated endpoints of the interval. if the problem writers intend that "between" be inclusive, they'll write "inclusive".

also note that, as mentioned above, the gmat writers often go out of their way to be very clear in their wording. if the problem literally means "between 1 and 100", then the wording will often say "greater than 1 and less than 100", or something else equally explicit.