Test your basic knowledge |

GMAT Number Properties

Subjects : gmat, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. Prime Numbers:3x
A non-multiple of N.
PERFECT CUBES
83 -89
31 -37

2. For ODD ROOTS - the root has ______.
The same sign as the base
The sum of EVEN INTEGERS between 99 and 301 is the sum of EVEN INTEGERS between 100 and 300 - or the sum of the 50th EVEN INTEGER through the 150th EVEN INTEGER.To get this sum: -Find the sum of the FIRST 150 even integers (ie 2 times the sum of the
61 -67
If gcd(k1 -n) ? 1 or gcd(k2 -n) ? 1 - this proves insufficiency.

3. v225=
23 -29
41 -43 -47
15
In an evenly spaced set - the average and the median are equal.

4. Prime Numbers:9x
NEVER CONTRADICT ONE ANOTHER
ONLY the nonnegative root of the numberUNLIKE
97
3·3n = 3^{n+1}

5. Positive integers with only two factors must be ___.
16
Prime
A non-multiple of N.
25

6. Prime Numbers:1x
23 -29
The sum of EVEN INTEGERS between 99 and 301 is the sum of EVEN INTEGERS between 100 and 300 - or the sum of the 50th EVEN INTEGER through the 150th EVEN INTEGER.To get this sum: -Find the sum of the FIRST 150 even integers (ie 2 times the sum of the
61 -67
11 -13 -17 -19

7. How to test for sufficiency: If p is an integer - is p/n an integer? (1) k1p/n is an integer(2) k2p/n is an integer
If gcd(k1 -n) ? 1 or gcd(k2 -n) ? 1 - this proves insufficiency.
The sum of EVEN INTEGERS between 99 and 301 is the sum of EVEN INTEGERS between 100 and 300 - or the sum of the 50th EVEN INTEGER through the 150th EVEN INTEGER.To get this sum: -Find the sum of the FIRST 150 even integers (ie 2 times the sum of the
ODD
A MULTIPLE

8. All perfect squares have a(n) _________ number of total factors.
13
11 -13 -17 -19
15
ODD

9. The average of an EVEN number of consecutive integers will ________ be an integer.
The average of an EVEN number of consecutive integers will NEVER be an integer.
[(last - first) / increment] + 1
53 -59
Never prime

10. Prime Numbers:2x
23 -29
1.7
FACTOR
In an evenly spaced set - the mean and median are equal to the average of the first and the last number.

11. v3˜
Look at the numbers from 1 to 30 - inclusive - that have at least one factor of 3 and count up how many each has: 3-1; 6-1; 9-2; 12-1; 15-1; 18-2; 21-1; 24-1; 27-3; 30-1 - The answer is 14.
1.7
1. The smallest or largest element 2. The increment 3. The number of items in the set
NEVER CONTRADICT ONE ANOTHER

12. In an evenly spaced set - the mean and median are equal to the _____ of _________.
In an evenly spaced set - the mean and median are equal to the average of the first and the last number.
2.5
N is a divisor of x+y
31 -37

13. Prime Numbers:4x
41 -43 -47
ODD
Prime
1.4

14. Let N be an integer. If you add two non-multiples of N - the result could be _______.
23 -29
The SUM of n consecutive integers is divisible by n if n is odd - but not if n is even.
Either a multiple of N or a non-multiple of N
The average of an ODD number of consecutive integers will ALWAYS be an integer.

15. ³v216 =
The SUM of n consecutive integers is divisible by n if n is odd - but not if n is even.
Break the number into prime powers: 216 = 2 2 2 3 3 * 3 = 2³ · 3³ = 6³ - so ³v216 = ³v6³ = 6
Set up prime columns. -- z 6 12 15 2 --2¹ 2² 3 --3¹ 3¹ 3¹ 5 ---------5¹
16

16. Prime Numbers:6x
The same sign as the base
Prime
FACTOR
61 -67

17. v5˜
The average of the set times the number of elements in the set
2.5
61 -67
A PERFECT SQUARE

18. Prime Numbers:7x
71 -73 -79
3·3n = 3^{n+1}
23 -29
PERFECT CUBES

19. Prime Numbers:0x
PERFECT CUBES
NEVER CONTRADICT ONE ANOTHER
2 -3 -5 -7
A MULTIPLE

20. How to solve: For any positive integer n - the sum of the 1st n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 301? (A) 10 -100 (B) 20 -200 (C) 22 -650 (D) 40 -200 (E) 45 -150
The sum of EVEN INTEGERS between 99 and 301 is the sum of EVEN INTEGERS between 100 and 300 - or the sum of the 50th EVEN INTEGER through the 150th EVEN INTEGER.To get this sum: -Find the sum of the FIRST 150 even integers (ie 2 times the sum of the
25
1.7
Look at the numbers from 1 to 30 - inclusive - that have at least one factor of 3 and count up how many each has: 3-1; 6-1; 9-2; 12-1; 15-1; 18-2; 21-1; 24-1; 27-3; 30-1 - The answer is 14.

21. Positive integers with more than two factors are ____.
71 -73 -79
Never prime
Set up prime columns. -- z 6 12 15 2 --2¹ 2² 3 --3¹ 3¹ 3¹ 5 ---------5¹
2 -3 -5 -7

22. The formula for finding the number of consecutive multiples in a set is _______.
[(last - first) / increment] + 1
A PERFECT SQUARE
14
25

23. Prime Numbers:5x
53 -59
61 -67
In an evenly spaced set - the mean and median are equal to the average of the first and the last number.
Break the number into prime powers: 216 = 2 2 2 3 3 * 3 = 2³ · 3³ = 6³ - so ³v216 = ³v6³ = 6

24. On data sufficiency - ALWAYS _______ algebraic expressions when you can. ESPECIALLY for divisibility.
The sum of any two primes will be even - unless one of the two primes is 2.
FACTOR
In an evenly spaced set - the mean and median are equal to the average of the first and the last number.
Either a multiple of N or a non-multiple of N

25. How to solve: If p is the product of the integers from 1 to 30 - inclusive - what is the greatest integer n for which 3n is a factor of p?
Look at the numbers from 1 to 30 - inclusive - that have at least one factor of 3 and count up how many each has: 3-1; 6-1; 9-2; 12-1; 15-1; 18-2; 21-1; 24-1; 27-3; 30-1 - The answer is 14.
The middle number
11 -13 -17 -19
FACTOR

26. In an evenly spaced set - the sum of the terms is equal to ____.
A PERFECT SQUARE
The average of the set times the number of elements in the set
53 -59
N is a divisor of x+y

27. All evenly spaced sets are fully defined if:1. _____ 2. _____ 3. _____ are known.
If gcd(k1 -n) ? 1 or gcd(k2 -n) ? 1 - this proves insufficiency.
25
13
1. The smallest or largest element 2. The increment 3. The number of items in the set

28. Any integer with an ODD number of total factors must be _______.
ODD
A PERFECT SQUARE
71 -73 -79
Set up prime columns. -- z 6 12 15 2 --2¹ 2² 3 --3¹ 3¹ 3¹ 5 ---------5¹

29. If 2 cannot be one of the primes in the sum - the sum must be _____.
If 2 cannot be one of the primes in the sum - the sum must be even.
NEVER CONTRADICT ONE ANOTHER
Look at the numbers from 1 to 30 - inclusive - that have at least one factor of 3 and count up how many each has: 3-1; 6-1; 9-2; 12-1; 15-1; 18-2; 21-1; 24-1; 27-3; 30-1 - The answer is 14.
The average of an ODD number of consecutive integers will ALWAYS be an integer.

30. If N is a divisor of x and y - then _______.
ONLY the nonnegative root of the numberUNLIKE
N is a divisor of x+y
61 -67
Either a multiple of N or a non-multiple of N

31. How to solve: If k - m - and t are positive integers and k/6 + m/4 = t/12 - do t and 12 have a common factor greater than 1? 1. k is a multiple of 3 2. m is a multiple of 3

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

32. When we take an EVEN ROOT - a radical sign means ________. This is _____ even exponents.
ONLY the nonnegative root of the numberUNLIKE
EVEN
15
53 -59

33. If estimating a root with a coefficient - _____ .
71 -73 -79
A PERFECT SQUARE
The SUM of n consecutive integers is divisible by n if n is odd - but not if n is even.
Put the coefficient under the radical to get a better approximation

34. 3n + 3n + 3n = _____ = ______
FACTOR
3·3n = 3^{n+1}
ONLY the nonnegative root of the numberUNLIKE
Prime

35. If the problem states/assumes that a number is an integer - check to see if you can use _______.
1.4
N is a divisor of x+y
Prime factorization
NEVER CONTRADICT ONE ANOTHER

36. v625=
A PERFECT SQUARE
11 -13 -17 -19
In an evenly spaced set - the mean and median are equal to the average of the first and the last number.
25

37. The prime factorization of __________ contains only EVEN powers of primes.
97
ONLY the nonnegative root of the numberUNLIKE
A PERFECT SQUARE
53 -59

38. v2˜
1.4
2 -3 -5 -7
PERFECT CUBES
A PERFECT SQUARE

39. The sum of any two primes will be ____ - unless ______.
FACTOR
31 -37
The SUM of n consecutive integers is divisible by n if n is odd - but not if n is even.
The sum of any two primes will be even - unless one of the two primes is 2.

40. The average of an ODD number of consecutive integers will ________ be an integer.
PERFECT CUBES
71 -73 -79
The average of an ODD number of consecutive integers will ALWAYS be an integer.
In an evenly spaced set - the average and the median are equal.

41. v256=
16
1.7
If gcd(k1 -n) ? 1 or gcd(k2 -n) ? 1 - this proves insufficiency.
31 -37

42. v196=
The sum of any two primes will be even - unless one of the two primes is 2.
The SUM of n consecutive integers is divisible by n if n is odd - but not if n is even.
A MULTIPLE
14

43. Prime factors of _____ must come in pairs of three.
97
A non-multiple of N.
1.7
PERFECT CUBES

44. How to find the sum of consecutive integers:
16
3·3n = 3^{n+1}
1. Average the first and last to find the mean. 2. Count the number of terms. 3. Multiply the mean by the number of terms.
83 -89

45. How to solve: Is the integer z divisible by 6? (1) gcd(z -12) = 3 (2) gcd(z -15) = 15
Put the coefficient under the radical to get a better approximation
Set up prime columns. -- z 6 12 15 2 --2¹ 2² 3 --3¹ 3¹ 3¹ 5 ---------5¹
EVEN
The sum of EVEN INTEGERS between 99 and 301 is the sum of EVEN INTEGERS between 100 and 300 - or the sum of the 50th EVEN INTEGER through the 150th EVEN INTEGER.To get this sum: -Find the sum of the FIRST 150 even integers (ie 2 times the sum of the

46. Prime Numbers:8x
83 -89
The sum of EVEN INTEGERS between 99 and 301 is the sum of EVEN INTEGERS between 100 and 300 - or the sum of the 50th EVEN INTEGER through the 150th EVEN INTEGER.To get this sum: -Find the sum of the FIRST 150 even integers (ie 2 times the sum of the
Put the coefficient under the radical to get a better approximation
Either a multiple of N or a non-multiple of N

47. The prime factorization of a perfect square contains only ______ powers of primes.
FACTOR
ODD
EVEN
41 -43 -47

48. Any integer with an EVEN number of total factors cannot be ______.
If 2 cannot be one of the primes in the sum - the sum must be even.
1. Average the first and last to find the mean. 2. Count the number of terms. 3. Multiply the mean by the number of terms.
A PERFECT SQUARE
41 -43 -47

49. The SUM of n consecutive integers is divisible by n if ____ - but not if ______.
The middle number
The SUM of n consecutive integers is divisible by n if n is odd - but not if n is even.
ONLY the nonnegative root of the numberUNLIKE
A MULTIPLE

50. In an evenly spaced set - the ____ and the ____ are equal.
In an evenly spaced set - the average and the median are equal.
2 -3 -5 -7
61 -67
1. The smallest or largest element 2. The increment 3. The number of items in the set

Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?

Major Subjects
Tests & Exams AP CLEP DSST GRE SAT GMAT	Certifications CISSP go to https://www.isc2.org/ PMP ITIL RHCE MCTS More...	IT Skills Android Programming Data Modeling Objective C Programming Basic Python Programming Adobe Illustrator More...	Business Skills Advertising Techniques Business Accounting Basics Business Strategy Human Resource Management Marketing Basics More...
Soft Skills Body Language People Skills Public Speaking Persuasion Job Hunting And Resumes More...	Vocabulary GRE Vocab SAT Vocab TOEFL Essential Vocab Basic English Words For All Global Words You Should Know Business English More...	Languages AP German Vocab AP Latin Vocab SAT Subject Test: French Italian Survival Norwegian Survival More...	Engineering Audio Engineering Computer Science Engineering Aerospace Engineering Chemical Engineering Structural Engineering More...
Health Sciences Basic Nursing Skills Health Science Language Fundamentals Veterinary Technology Medical Language Cardiology Clinical Surgery More...	English Grammar Fundamentals Literary And Rhetorical Vocab Elements Of Style Vocab Introduction To English Major Complete Advanced Sentences Literature Homonyms More...	Math Algebra Formulas Basic Arithmetic: Measurements Metric Conversions Geometric Properties Important Math Facts Number Sense Vocab Business Math More...	Other Major Subjects Science Economics History Law Performing-arts Cooking Logic & Reasoning Trivia

Test your basic knowledge |

GMAT Number Properties

Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?

Let me suggest you:

Browse all subjects

Browse all tests

Most popular tests

Major Subjects

Tests & Exams

Certifications

IT Skills

Business Skills

Soft Skills

Vocabulary

Languages

Engineering

Health Sciences

English

Math

Other Major Subjects

Browse all subjects

Browse all tests

Most popular tests