# GMAT Quant Practice #4:

by on July 25th, 2013

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.

Happy GMATing!

## Practice Problem 4A

If n is positive, is n an integer?

1) ≠ integer

2) <1

## Solution

Question Stem Analysis:

We know that n is positive. The question is whether n is an integer.

Statement One Alone:

≠ integer

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:

<1

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?

A) 3
B) 9
C) 27
D) 81
E) 243

Note: