# 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.

Happy GMATing!

**Practice Problem 4A**

If

nis positive, isnan 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.

**Answer: B**

**Practice Problem 4B**

If , the expression is equal to which of the following?

A) 3

B) 9

C) 27

D) 81

E) 243

## Solution:

Note:

**Answer: E**

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