GMAT Quant Practice #4:
It’s GMAT time for a lot of your right now. I’ve spoken with a number of you who are taking the exam in a few weeks.
There are many more of you who will be taking it for the first (or second, or third) time within the next 1-2 months, depending on which round you are applying to schools in.
GMAT study is probably THE most intense part of this whole journey, and I want to provide at least some small bit of support in the way of additional problems that you can use to test and sharpen your skills with.
Practice Problem 4A
If n is positive, is n an integer?
1) ≠ integer
Question Stem Analysis:
We know that n is positive. The question is whether n is an integer.
Statement One Alone:
We can substitute various values for n to see whether n must be an integer. If ≠ integer, then n is not a perfect square. But n could be a non-perfect square integer such as 2 since if then ≠ integer. The variable n could also be a fraction. For example, if then ≠ integer. Thus statement one is not sufficient.
Eliminate answer choices A and D.
Statement Two Alone:
Statement two can be simplified by squaring both sides of the inequality: < . That means that .
Since n is less than 1 and n is also positive, it should be clear that n cannot equal an integer. Statement two is sufficient.
Practice Problem 4B
If , the expression is equal to which of the following?