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:2x
A PERFECT SQUARE
23 -29
3·3n = 3^{n+1}
15

2. Prime Numbers:3x
31 -37
41 -43 -47
Express as 2k + 3m = t. 1. If k is a multiple of 3 - then so is t and we have a yes. => S 2. If m is a multiple of 3 - we don't know. => I A/1 Alone.
PERFECT CUBES

3. If estimating a root with a coefficient - _____ .
The same sign as the base
71 -73 -79
Put the coefficient under the radical to get a better approximation
16

4. v3˜
The average of an EVEN number of consecutive integers will NEVER be an integer.
[(last - first) / increment] + 1
1.7
A PERFECT SQUARE

5. Prime Numbers:4x
A PERFECT SQUARE
2 -3 -5 -7
16
41 -43 -47

6. Let N be an integer. If you add a multiple of N to a non-multiple of N - the result is ________.
A non-multiple of N.
23 -29
25
Express as 2k + 3m = t. 1. If k is a multiple of 3 - then so is t and we have a yes. => S 2. If m is a multiple of 3 - we don't know. => I A/1 Alone.

7. v625=
25
ONLY the nonnegative root of the numberUNLIKE
If gcd(k1 -n) ? 1 or gcd(k2 -n) ? 1 - this proves insufficiency.
A PERFECT SQUARE

8. Any integer with an ODD number of total factors must be _______.
[(last - first) / increment] + 1
A PERFECT SQUARE
61 -67
A MULTIPLE

9. 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 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
83 -89
A PERFECT SQUARE

10. Prime Numbers:7x
15
[(last - first) / increment] + 1
71 -73 -79
Put the coefficient under the radical to get a better approximation

11. In an evenly spaced set - the sum of the terms is equal to ____.
1. The smallest or largest element 2. The increment 3. The number of items in the set
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 the set times the number of elements in the set
A PERFECT SQUARE

12. v256=
61 -67
16
2.5
The average of an ODD number of consecutive integers will ALWAYS be an integer.

13. Prime Numbers:6x
The average of the set times the number of elements in the set
2 -3 -5 -7
If gcd(k1 -n) ? 1 or gcd(k2 -n) ? 1 - this proves insufficiency.
61 -67

14. 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

15. The sum of any two primes will be ____ - unless ______.
The average of an EVEN number of consecutive integers will NEVER be an integer.
The average of the set times the number of elements in the set
PERFECT CUBES
The sum of any two primes will be even - unless one of the two primes is 2.

16. Prime factors of _____ must come in pairs of three.
Break the number into prime powers: 216 = 2 2 2 3 3 * 3 = 2³ · 3³ = 6³ - so ³v216 = ³v6³ = 6
1.4
PERFECT CUBES
The middle number

17. On data sufficiency - ALWAYS _______ algebraic expressions when you can. ESPECIALLY for divisibility.
1.4
If gcd(k1 -n) ? 1 or gcd(k2 -n) ? 1 - this proves insufficiency.
Set up prime columns. -- z 6 12 15 2 --2¹ 2² 3 --3¹ 3¹ 3¹ 5 ---------5¹
FACTOR

18. 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.
Put the coefficient under the radical to get a better approximation
A non-multiple of N.
16

19. Prime Numbers:5x
A non-multiple of N.
53 -59
13
If 2 cannot be one of the primes in the sum - the sum must be even.

20. Prime Numbers:8x
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
The PRODUCT of n consecutive integers is divisible by n!.
83 -89
N is a divisor of x+y

21. v225=
Break the number into prime powers: 216 = 2 2 2 3 3 * 3 = 2³ · 3³ = 6³ - so ³v216 = ³v6³ = 6
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.
ONLY the nonnegative root of the numberUNLIKE
15

22. If the problem states/assumes that a number is an integer - check to see if you can use _______.
Prime factorization
A MULTIPLE
15
EVEN

23. The prime factorization of __________ contains only EVEN powers of primes.
A PERFECT SQUARE
The PRODUCT of n consecutive integers is divisible by n!.
83 -89
The average of an ODD number of consecutive integers will ALWAYS be an integer.

24. 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
Put the coefficient under the radical to get a better approximation
83 -89

25. N! is _____ of all integers from 1 to N.
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
1.4
A PERFECT SQUARE
A MULTIPLE

26. Positive integers with more than two factors are ____.
15
A PERFECT SQUARE
Never prime
The PRODUCT of n consecutive integers is divisible by n!.

27. In an evenly spaced set - the mean and median are equal to the _____ of _________.
A PERFECT SQUARE
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
In an evenly spaced set - the mean and median are equal to the average of the first and the last number.
97

28. The average of an EVEN number of consecutive integers will ________ be an integer.
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
16
The average of an EVEN number of consecutive integers will NEVER be an integer.

29. How to find the sum of consecutive integers:
[(last - first) / increment] + 1
A PERFECT SQUARE
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.
If gcd(k1 -n) ? 1 or gcd(k2 -n) ? 1 - this proves insufficiency.

30. Positive integers with only two factors must be ___.
In an evenly spaced set - the average and the median are equal.
A non-multiple of N.
Prime
The sum of any two primes will be even - unless one of the two primes is 2.

31. The two statements in a data sufficiency problem will _______________.
NEVER CONTRADICT ONE ANOTHER
1. The smallest or largest element 2. The increment 3. The number of items in the set
ODD
Break the number into prime powers: 216 = 2 2 2 3 3 * 3 = 2³ · 3³ = 6³ - so ³v216 = ³v6³ = 6

32. v169=
The average of an ODD number of consecutive integers will ALWAYS be an integer.
1. The smallest or largest element 2. The increment 3. The number of items in the set
71 -73 -79
13

33. How to solve: Is the integer z divisible by 6? (1) gcd(z -12) = 3 (2) gcd(z -15) = 15
The middle number
Set up prime columns. -- z 6 12 15 2 --2¹ 2² 3 --3¹ 3¹ 3¹ 5 ---------5¹
Prime factorization
1.7

34. ³v216 =
The SUM of n consecutive integers is divisible by n if n is odd - but not if n is even.
41 -43 -47
Break the number into prime powers: 216 = 2 2 2 3 3 * 3 = 2³ · 3³ = 6³ - so ³v216 = ³v6³ = 6
Put the coefficient under the radical to get a better approximation

35. Let N be an integer. If you add two non-multiples of N - the result could be _______.
If gcd(k1 -n) ? 1 or gcd(k2 -n) ? 1 - this proves insufficiency.
1.7
Either a multiple of N or a non-multiple of N
A non-multiple of N.

36. The average of an ODD number of consecutive integers will ________ be an integer.
If 2 cannot be one of the primes in the sum - the sum must be even.
Break the number into prime powers: 216 = 2 2 2 3 3 * 3 = 2³ · 3³ = 6³ - so ³v216 = ³v6³ = 6
PERFECT CUBES
The average of an ODD number of consecutive integers will ALWAYS be an integer.

37. For ODD ROOTS - the root has ______.
ONLY the nonnegative root of the numberUNLIKE
Prime
FACTOR
The same sign as the base

38. The formula for finding the number of consecutive multiples in a set is _______.
71 -73 -79
[(last - first) / increment] + 1
The sum of any two primes will be even - unless one of the two primes is 2.
15

39. All evenly spaced sets are fully defined if:1. _____ 2. _____ 3. _____ are known.
ODD
25
1. The smallest or largest element 2. The increment 3. The number of items in the set
1.7

40. The PRODUCT of n consecutive integers is divisible by ____.
The SUM of n consecutive integers is divisible by n if n is odd - but not if n is even.
NEVER CONTRADICT ONE ANOTHER
The PRODUCT of n consecutive integers is divisible by n!.
N is a divisor of x+y

41. Prime Numbers:1x
A PERFECT SQUARE
11 -13 -17 -19
The average of an EVEN number of consecutive integers will NEVER be an integer.
Prime factorization

42. In an evenly spaced set - the average can be found by finding ________.
N is a divisor of x+y
The average of the set times the number of elements in the set
The middle number
Put the coefficient under the radical to get a better approximation

43. The SUM of n consecutive integers is divisible by n if ____ - but not if ______.
PERFECT CUBES
The same sign as the base
The SUM of n consecutive integers is divisible by n if n is odd - but not if n is even.
NEVER CONTRADICT ONE ANOTHER

44. The prime factorization of a perfect square contains only ______ powers of primes.
The sum of any two primes will be even - unless one of the two primes is 2.
Either a multiple of N or a non-multiple of N
EVEN
ONLY the nonnegative root of the numberUNLIKE

45. If N is a divisor of x and y - then _______.
N is a divisor of x+y
1. The smallest or largest element 2. The increment 3. The number of items in the set
A MULTIPLE
83 -89

46. v196=
14
25
The middle number
Prime

47. v2˜
The SUM of n consecutive integers is divisible by n if n is odd - but not if n is even.
1.4
15
Prime

48. Prime Numbers:0x
Break the number into prime powers: 216 = 2 2 2 3 3 * 3 = 2³ · 3³ = 6³ - so ³v216 = ³v6³ = 6
2 -3 -5 -7
In an evenly spaced set - the mean and median are equal to the average of the first and the last number.
1.7

49. When we take an EVEN ROOT - a radical sign means ________. This is _____ even exponents.
Set up prime columns. -- z 6 12 15 2 --2¹ 2² 3 --3¹ 3¹ 3¹ 5 ---------5¹
ONLY the nonnegative root of the numberUNLIKE
1. The smallest or largest element 2. The increment 3. The number of items in the set
13

50. 3n + 3n + 3n = _____ = ______
3·3n = 3^{n+1}
EVEN
A PERFECT SQUARE
Set up prime columns. -- z 6 12 15 2 --2¹ 2² 3 --3¹ 3¹ 3¹ 5 ---------5¹

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