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. Intersecting Sets
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
gcd(m,n)*lcm(m,n) = mn
| A union B| = |A| + |B| - |A intersect B|
Find all prime factors

2. (1/4)^2
1/16
4/3 TT r ^3
Figure out the probability for each individual event. Multiply the individual probabilities together.
n! / (n - r)!

3. 2n+1 - 2n+3 - 2n+5
Odd
(sum of bases)(height) / 2
Immediately UNFACTOR or vice versa
Organize into a grid.

4. Formula for Mixed Group problems (involving Both/Neither)
Odd numbers only have ___________
sum = (average)(number of terms)
Group 1 + Group 2 + Neither - Both = Total
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

5. Average Rate: Average A per B
Sum of digits is multiple of 3 - last two digits multiple of 4.
(total A) / (total B)
Principal (1 + interest/number times compounded)^(t)(n)
Number is a multiple of 3 and 2

6. How to check for a prime number.

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

7. How to check whether a number is a multiple of 3.
Any multiplication involving an even number creates an even product.
Balancing
sum = (average)(number of terms)
Sum of digits is multiple of 3

8. Percent increase = ?
always try to factor
P(E) + P(F) - P(E and F)
(amount of change) / (original amount)
Gross Profit = Selling Price - Cost

9. Simple probability
Group 1 + Group 2 + Neither - Both = Total
(total distance) / (total time)
(# of favorable outcomes) / (# of possible outcomes)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

10. Work problem rule
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 of digits is multiple of 3
$11 - 025
Sum of digits is multiple of 9

11. Set Problems formula
(x-n(n)y-n)
The probability of an event occurring plus the probability of the event not occurring = 1
0.15n + 0.08(5) = 0.1(n+5)
The probability of event occurring is...

12. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
If the outcome of one event affects the outcome of the other event.
A = P(1 + r) ^n
(amount of change) / (original amount)
y2 - y1 / x2 - x1

13. What to do with equations that have fractions
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Immediately try factoring/simplifying when possible
y2 - y1 / x2 - x1

14. Indistinguishable events how to find the number of permutations

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

15. gcd(m,n)*lcm(m,n)
Exterior angle d is equal to the sum of the two remote interior angles a and b
12.5%
gcd(m,n)*lcm(m,n) = mn
p/100 = is/of

16. Combined Events: E or F
Odd numbers only have ___________
P(E) + P(F) - P(E and F)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Odd

17. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
Check each prime number up to the approximate square root of the number. If you haven't found a number less than or equal to the square root of the number - then the number is prime.
The probability of event A OR B occurring is the probability of event A occurring plus the probability of event B occurring minus the probability of both events occurring. P(A or B) = P(A) +P(B) - P(A and B)
Divide 4999 by 15 => 333 integers

18. 1/6 = what %
p/100 = is/of
16.6%
Sum of digits is multiple of 3 - last two digits multiple of 4.
Immediately try factoring/simplifying when possible

19. 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?
at least 3 steps
14 liters
-b +- sq. rt(b^2 - 4ac) / 2a
p/100 = is/of

20. 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
If the outcome of one event affects the outcome of the other event.
P(E)P(F)
at least 3 steps

21. x^r/s = ?
______ |m-n|
Divide 4999 by 15 => 333 integers
(sum of bases)(height) / 2
s Sq. rt (x^r)

22. What does the Sum of the angles in a Regular Polygon formula look like?
180(n-2)
Find all prime factors
Minor arc = 2(inscribed angle)
12^3

23. 0! = ?
1
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
P(event NOT occurring) = 1 - P(event occurring)
Last two digits are multiple of 4 or the number can be divided by 2 twice.

24. In general - difficult questions require how many steps to solve?
Sum of digits is multiple of 9
x - x - x(sq. rt 2)
Check each prime number up to the approximate square root of the number. If you haven't found a number less than or equal to the square root of the number - then the number is prime.
at least 3 steps

25. Multiplication principle
always try to factor
at least 3 steps
1 - P(E)
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

26. Sq. rt(3)
1.7
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
12^3
4/3 TT r ^3

27. How do you multiply roots together.
Odd
Principal (1 + interest/number times compounded)^(t)(n)
D or E
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

28. Volume of a sphere
Immediately try factoring/simplifying when possible
Check each prime number up to the approximate square root of the number. If you haven't found a number less than or equal to the square root of the number - then the number is prime.
4/3 TT r ^3
1 - P(E)

29. 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.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
The probability of event occurring is...
The total amount before any deductions
Organize into a grid.

30. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
(# of favorable outcomes) / (# of possible outcomes)
Sum of digits is multiple of 9
Group 1 + Group 2 + Neither - Both = Total

31. Number added or deleted
2 steps
market value
Group 1 + Group 2 + Neither - Both = Total
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

32. Compound interest formula
Principal (1 + interest/number times compounded)^(t)(n)
Immediately UNFACTOR or vice versa
sum = (average)(number of terms)
D or E

33. In general - medium questions require how many steps to solve?
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.
2 steps
Sum of digits is multiple of 9

34. 5/6 = what %
83.3%
P(E)P(F)
1/16
If the outcome of one event affects the outcome of the other event.

35. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
Principal (1 + interest/number times compounded)^(t)(n)
Immediately UNFACTOR or vice versa
14 liters
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

36. How to find the slope.
D or E
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
y2 - y1 / x2 - x1
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

37. Odd Factors
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Odd numbers only have ___________
4/3 TT r ^3
(total distance) / (total time)

38. 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?
Any multiplication involving an even number creates an even product.
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.
1/16
0.15n + 0.08(5) = 0.1(n+5)

39. Price sold for by retailer (after markup)
market value
12.5%
1/16
The probability of event A OR B occurring is the probability of event A occurring plus the probability of event B occurring minus the probability of both events occurring. P(A or B) = P(A) +P(B) - P(A and B)

40. Sum of consecutive numbers
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
Find all prime factors
14 liters
sum = (average)(number of terms)

41. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
3 - 6 - 9 - 12
principle (interest rate - in decimal form) (time - in years)
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
| A union B| = |A| + |B| - |A intersect B|

42. 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
(amount of change) / (original amount)
A = P(1 + r) ^n
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.
Sum of digits is multiple of 9

43. Combined Events: E and F
12^3
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.
Organize into a grid.
P(E)P(F)

44. Trial Problems: look at the probability of NOT OCCURRING
x(sq. rt 3) - x - 2x
x - x - x(sq. rt 2)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
P(event NOT occurring) = 1 - P(event occurring)

45. 1/8 = what %
Purchase price
12.5%
n! / (n - r)!
______ |m-n|

46. 30-60-90 triangle basic lengths of sides
x(sq. rt 3) - x - 2x
Figure out the probability for each individual event. Multiply the individual probabilities together.
3 - 6 - 9 - 12
1

47. The number of ways independent events can occur together.
(amount of change) / (original amount)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
-b +- sq. rt(b^2 - 4ac) / 2a

48. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Immediately try factoring/simplifying when possible
12^3
Divide 4999 by 15 => 333 integers
$11 - 025

49. How to check whether a number is a multiple of 12.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Even
Sum of digits is multiple of 3 - last two digits multiple of 4.
-b +- sq. rt(b^2 - 4ac) / 2a

50. Prime Factorization to find Greatest Common Factor
Exterior angle d is equal to the sum of the two remote interior angles a and b
P(event NOT occurring) = 1 - P(event occurring)
| A union B| = |A| + |B| - |A intersect B|
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

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