Test your basic knowledge |

GMAT Quantitative General

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. 0! = ?
Sum of digits is multiple of 9
If the outcome of one event affects the outcome of the other event.
Minor arc = 2(inscribed angle)
1

2. Properties of 0
1. Start by writing each number as product of primes. 2. Write so that each new prime factor begins in the same place. 3. Greatest Common Factor is found by multiplying all factors appearing in BOTH lists
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
If the outcome of one event affects the outcome of the other event.
D or E

3. Price purchased for by wholesaler
12^3
$11 - 025
Sum of digits is multiple of 3 - last two digits multiple of 4.
Purchase price

4. 5/6 = what %
347
D or E
3-4-5 - 5-12-13 - 9-12-15
83.3%

5. 2nd Rule of Probability: P(E) = 1 - P(not E)
Odd
The probability of an event occurring plus the probability of the event not occurring = 1
1
3-4-5 - 5-12-13 - 9-12-15

6. x^r/s = ?
______ |m-n|
P(event NOT occurring) = 1 - P(event occurring)
(sum of bases)(height) / 2
s Sq. rt (x^r)

7. Percent Formula
14 liters
Sum of digits is multiple of 3
P(event NOT occurring) = 1 - P(event occurring)
p/100 = is/of

8. 3^3 x 4^3 = ?
1. Start by writing each number as a product of primes. 2. Write so that each new prime factor begins in the same place. 3. Lowest common multiple is found by multiplying all factors in either list.
x(sq. rt 3) - x - 2x
Last two digits are multiple of 4 or the number can be divided by 2 twice.
12^3

9. Triangle abc with d on the outside with a line. What does d = ?
Exterior angle d is equal to the sum of the two remote interior angles a and b
at least 3 steps
(# of favorable outcomes) / (# of possible outcomes)
0.15n + 0.08(5) = 0.1(n+5)

10. How to check whether a number is a multiple of 12.
1. Start by writing each number as a product of primes. 2. Write so that each new prime factor begins in the same place. 3. Lowest common multiple is found by multiplying all factors in either list.
gcd(m,n)*lcm(m,n) = mn
Figure out the probability for each individual event. Multiply the individual probabilities together.
Sum of digits is multiple of 3 - last two digits multiple of 4.

11. 1. A and B < A or B 2. A or B > Individual probabilities of A - B 3. P(A and B) = P(A) x P(B) <-- 'fewer options' 4. P(A or B) = P(A) + P(B) <-- 'more options' - Probability of multiple events rules.
347
(x-n(n)y-n)
1st Rule of Probability: Basic Rule is what?
Immediately try factoring/simplifying when possible

12. Work problem rule
P(E)P(F)
Consider work done in one hour. Inverse of the time it takes everyone working together = Sum of the inverse of the times it would take each person working individually.
sum = (average)(number of terms)
market value

13. gcd(m,n)
(n-1)!
1
If the outcome of one event affects the outcome of the other event.
______ |m-n|

14. Dependent events: When are two events said to be dependent events?
n! / (n - r)!
2 steps
If the outcome of one event affects the outcome of the other event.
The amount after deductions

15. Volume of a sphere
Gross Profit = Selling Price - Cost
1. Start by writing each number as product of primes. 2. Write so that each new prime factor begins in the same place. 3. Greatest Common Factor is found by multiplying all factors appearing in BOTH lists
4/3 TT r ^3
Find all prime factors

16. Multiples of 3
3 - 6 - 9 - 12
Principal (1 + interest/number times compounded)^(t)(n)
Even
Sum of digits is multiple of 3 - last two digits multiple of 4.

17. 1/8 = what %
3-4-5 - 5-12-13 - 9-12-15
12.5%
p/100 = is/of
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

18. Odd and Even rule.
1.7
Any multiplication involving an even number creates an even product.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
(amount of change) / (original amount)

19. Compound interest rule
1/16
Find simple interest then look for the answer that is a little bigger
83.3%
180(n-2)

20. Three triangle length patterns
Odd numbers only have ___________
3-4-5 - 5-12-13 - 9-12-15
If a point is chosen at random within a space with an area - volume - or length of Y and a space with a respective area - volume - or length of X lies within Y - the probability of choosing a random point within Y is the area - volume - or length of
Balancing

21. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Odd numbers only have ___________
Divide 4999 by 15 => 333 integers
Sum of digits is multiple of 3
(amount of change) / (original amount)

22. In general - medium questions require how many steps to solve?
3 - 6 - 9 - 12
2 steps
x - x - x(sq. rt 2)
P(E)P(F)

23. Average Rate: Average A per B
(total A) / (total B)
principle (interest rate - in decimal form) (time - in years)
x(sq. rt 3) - x - 2x
Number is a multiple of 3 and 2

24. Formula for Mixed Group problems (involving Both/Neither)
Find all prime factors
2 steps
Group 1 + Group 2 + Neither - Both = Total
if a first object may be chosen in m ways and a second object may be chosen in n ways - then there are mn ways of choosing both objects

25. Multiplication principle
Consider work done in one hour. Inverse of the time it takes everyone working together = Sum of the inverse of the times it would take each person working individually.
if a first object may be chosen in m ways and a second object may be chosen in n ways - then there are mn ways of choosing both objects
180(n-2)
the probability of event A AND event B occurring is the probability of event A times the probability of event B - given that A has already occurred.

26. Set Problems formula
(x-n(n)y-n)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
The total amount before any deductions
Find all prime factors

27. Number added or deleted
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
If a point is chosen at random within a space with an area - volume - or length of Y and a space with a respective area - volume - or length of X lies within Y - the probability of choosing a random point within Y is the area - volume - or length of
x - x - x(sq. rt 2)

28. Compound interest formula
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Principal (1 + interest/number times compounded)^(t)(n)
Purchase price
The total amount before any deductions

29. Trial Problems: look at the probability of NOT OCCURRING
Even
P(E) + P(F) - P(E and F)
s Sq. rt (x^r)
P(event NOT occurring) = 1 - P(event occurring)

30. Price sold for by retailer (after markup)
Figure out the probability for each individual event. Multiply the individual probabilities together.
D or E
market value
(# of favorable outcomes) / (# of possible outcomes)

31. How many liters of a solution that is 15% salt must be added to 5 liters of a solution that is 8% salt so that the resulting mixture is 10% salt?
Immediately UNFACTOR or vice versa
0.15n + 0.08(5) = 0.1(n+5)
(x-n(n)y-n)
The probability of event occurring is...

32. Think of averages as what? The average of 3 - 4 - 5 - and x is 5. What is x? 3 is 2 less than 5 4 is 1 less than 5 - 5 is the average - x = 5 + 3 = 8
1 - P(E)
Balancing
P(E) + P(F) - P(E and F)
Immediately UNFACTOR or vice versa

33. Always try to factor
always try to factor
s Sq. rt (x^r)
P(E) + P(F) - P(E and F)
n! / (n - r)!

34. Average Rate: Average speed
Immediately UNFACTOR or vice versa
______ |m-n|
Consider work done in one hour. Inverse of the time it takes everyone working together = Sum of the inverse of the times it would take each person working individually.
(total distance) / (total time)

35. What to do with equations that have fractions
1st Rule of Probability: Basic Rule is what?
To find the number of distinct permutations of a set of items with indistinguishable ('repeat') items - divide the factorial of the items in the set by the product of the factorials of the number of indistinguishable elements.
Immediately try factoring/simplifying when possible
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

36. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
gcd(m,n)*lcm(m,n) = mn
Sum of digits is multiple of 3 - last two digits multiple of 4.
180(n-2)

37. Lowest Common Multiple 60: 2 x 2 x 3 x 5 - 72: 2 x 2 x 2 x 3 x 3 - LCM: 2 x 2 x 2 x 3 x 3 x 5
Divide 4999 by 15 => 333 integers
1. Start by writing each number as a product of primes. 2. Write so that each new prime factor begins in the same place. 3. Lowest common multiple is found by multiplying all factors in either list.
Odd numbers only have ___________
347

38. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
(total A) / (total B)
(n-1)!
1. Start by writing each number as a product of primes. 2. Write so that each new prime factor begins in the same place. 3. Lowest common multiple is found by multiplying all factors in either list.
y2 - y1 / x2 - x1

39. Combined Events: Not E = P(not E) = ?
Immediately try factoring/simplifying when possible
1 - P(E)
market value
3-4-5 - 5-12-13 - 9-12-15

40. The number of ways independent events can occur together.
To find the number of distinct permutations of a set of items with indistinguishable ('repeat') items - divide the factorial of the items in the set by the product of the factorials of the number of indistinguishable elements.
Consider work done in one hour. Inverse of the time it takes everyone working together = Sum of the inverse of the times it would take each person working individually.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1 - P(E)

41. Probability and Geometry.
1/16
If a point is chosen at random within a space with an area - volume - or length of Y and a space with a respective area - volume - or length of X lies within Y - the probability of choosing a random point within Y is the area - volume - or length of
1
Find all prime factors

42. Gross
The total amount before any deductions
16.6%
If a point is chosen at random within a space with an area - volume - or length of Y and a space with a respective area - volume - or length of X lies within Y - the probability of choosing a random point within Y is the area - volume - or length of
Even

43. Gross Profit formula
market value
Gross Profit = Selling Price - Cost
Consider work done in one hour. Inverse of the time it takes everyone working together = Sum of the inverse of the times it would take each person working individually.
sum = (average)(number of terms)

44. Prime Factorization to find Greatest Common Factor
1. Start by writing each number as product of primes. 2. Write so that each new prime factor begins in the same place. 3. Greatest Common Factor is found by multiplying all factors appearing in BOTH lists
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
16.6%
(# of favorable outcomes) / (# of possible outcomes)

45. To determine multiple-event probability where each individual event must occur in a certain way.
market value
(x-n(n)y-n)
83.3%
Figure out the probability for each individual event. Multiply the individual probabilities together.

46. Odd Factors
Odd numbers only have ___________
(n-1)!
(sum of bases)(height) / 2
D or E

47. What does the Sum of the angles in a Regular Polygon formula look like?
180(n-2)
The amount after deductions
Odd
1.4

48. Some GMAT word problems involve groups with distinct 'either/or' categories (male/female - blue collar/white collar - etc.) The key is to do what with the information? 1. Find total number of possible outcomes. 2. Find the number of desired outcomes.
if a first object may be chosen in m ways and a second object may be chosen in n ways - then there are mn ways of choosing both objects
Organize into a grid.
0.15n + 0.08(5) = 0.1(n+5)
The probability of event occurring is...

49. In general - difficult questions require how many steps to solve?
______ |m-n|
at least 3 steps
1/16
the probability of event A AND event B occurring is the probability of event A times the probability of event B - given that A has already occurred.

50. How many liters of a solution that is 10% alcohol by volume must be added to 2 liters of a solution that is 50% alcohol by volume to create a solution that is 15% alcohol by volume?
Even
14 liters
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
at least 3 steps

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 Quantitative General

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