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GMAT Quant practice questions - Number Properties (Fundamentals)
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GMAT Number Properties: FundamentalsJeff Sackmann / GMAT HACKS
January 2013
Contents
1 Introduction 2
2 Difficulty Levels 3
3 Problem Solving 4
4 Data Sufficiency 14
5 Answer Key 20
6 Explanations 23
1
, Jeff Sackmann
www.gmathacks.com
1 Introduction
This document contains nothing but GMAT Number Properties questions–100
of them, to be exact. Number Properties is one of the most challenging topics
on the test, since many questions can’t be solved algebraically. There are plenty
of techniques you can learn to make these questions more clear-cut (and those
are discussed in the explanations), but most test-takers never learn them.
As in all of my GMAT preparation resources, you’ll find these questions
indexed by difficulty.
For further, more specific practice, I have produced several other resources
that may help you. I’ve also created a 100-question set called ”Exponents and
Roots,” which covers exactly that material, including dozens of questions that
force you to master every last exponent-related rule the GMAT will test you
on. You’ll also find many Number Properties questions in my general sets,
”Problem Solving: Fundamentals” and ”Data Sufficiency: Fundamentals.”
Also, Total GMAT Math has several chapters (along with focused practice)
on Number Properties and related issues, including individual chapters on prime
numbers, factors, multiples, evens and odds, consecutive numbers, and more. If
you find you are struggling with the mechanics of these problems, your time is
probably better spent with Total GMAT Math than in doing dozens and dozens
of practice problems, hoping to pick up those skills along the way.
As far as strategy is concerned, there are dozens of articles at gmathacks.com
to help you with your strategic approach to Arithmetic questions. Most impor-
tantly, you should make sure you understand every practice problem you do. It
doesn’t matter if you get it right the first time–what matters is whether you’ll
get it right the next time you see it, because the next time you see it could be
on the GMAT.
With that in mind, carefully analyze the explanations. Redo questions that
took you too long the first time around. Review questions over multiple sessions,
rather than cramming for eight hours straight each Saturday. These basic study
skills may not feel like the key to GMAT preparation, but they are the difference
between those people who reach their score goals and those who never do.
Enough talking; there are 100 Number Properties questions waiting inside.
Get to work!
2
Copyright 2008-13 Jeff Sackmann
www.gmathacks.com
, Jeff Sackmann
www.gmathacks.com
2 Difficulty Levels
In general, the level 5 questions in this guide are 500- to 560-level questions.
The level 4 questions represent a broad range of difficulty from about 380 to
500.
Moderately Easy (4)
PS
3, 4, 7, 12, 16, 18, 20, 21, 27, 33, 38, 43
DS
46, 47, 48, 54, 59, 60, 61, 62, 65, 67, 69, 70, 72, 75, 77, 81, 85, 88, 89, 93, 94,
95, 96, 97, 98, 100
Moderate (5)
PS
1, 2, 5, 6, 8, 9, 10, 11, 13, 14, 15, 17, 19, 22, 23, 24, 25, 26, 28, 29, 30, 31,
32, 34, 35, 36, 37, 39, 40, 41, 42, 44, 45
DS
49, 50, 51, 52, 53, 55, 56, 57, 58, 63, 64, 66, 68, 71, 73, 74, 76, 78, 79, 80, 82,
83, 84, 86, 87, 90, 91, 92, 99
3
Copyright 2008-13 Jeff Sackmann
www.gmathacks.com
, Jeff Sackmann
www.gmathacks.com
3 Problem Solving
Note: this guide contains both an answer key (so you can quickly check your
answers) and full explanations.
96+n
1. For which of the following values of n is n NOT an integer?
(A) 4
(B) 8
(C) 9
(D) 12
(E) 16
2. When n is divided by 9, the result is an integer, and when 441 is
divided by n, the result is an integer. If 9 < n < 441, what is the
value of n?
(A) 147
(B) 121
(C) 63
(D) 49
(E) 27
3. The sum of prime numbers that are greater than 50 but less than
60 is
(A) 59
(B) 110
(C) 112
(D) 163
(E) 169
4. What is the probability that a random number selected from the
set of integers 101 through 450, inclusive, has a hundreds digit
of 3?
1
(A) 4
2
(B) 7
2
(C) 9
99
(D) 350
100
(E) 349
4
Copyright 2008-13 Jeff Sackmann
www.gmathacks.com
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