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. Sum of consecutive numbers
market value
sum = (average)(number of terms)
P(E)P(F)
Group 1 + Group 2 + Neither - Both = Total

2. Gross Profit formula
______ |m-n|
1
Gross Profit = Selling Price - Cost
P(event NOT occurring) = 1 - P(event occurring)

3. 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
P(event NOT occurring) = 1 - P(event occurring)
Balancing
(sum of bases)(height) / 2
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

4. How to check whether number is multiple of 9
Sum of digits is multiple of 9
4/3 TT r ^3
1.7
Odd numbers only have ___________

5. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
P(E) + P(F) - P(E and F)
347
x(sq. rt 3) - x - 2x
A = P(1 + r) ^n

6. Prime Factorization to find Greatest Common Factor
(sum of bases)(height) / 2
p/100 = is/of
Immediately try factoring/simplifying when possible
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

7. How to check whether a number is a multiple of 3.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Sum of digits is multiple of 3
Figure out the probability for each individual event. Multiply the individual probabilities together.
The total amount before any deductions

8. How to find all divisors of a number
(# of favorable outcomes) / (# of possible outcomes)
The amount after deductions
Sum of digits is multiple of 9
Find all prime factors

9. Percent increase = ?
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
(amount of change) / (original amount)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

10. Number added or deleted
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original 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
(amount of change) / (original amount)
1 - P(E)

11. Combined Events: Not E = P(not E) = ?
1 - P(E)
Balancing
83.3%
(total A) / (total B)

12. Odd Factors
A = P(1 + r) ^n
Figure out the probability for each individual event. Multiply the individual probabilities together.
Odd numbers only have ___________
1.4

13. Net
| A union B| = |A| + |B| - |A intersect B|
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
The amount after deductions
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

14. 3^3 x 4^3 = ?
Find simple interest then look for the answer that is a little bigger
83.3%
Odd
12^3

15. How to check whether a number is a multiple of 4.
Any multiplication involving an even number creates an even product.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Sum of digits is multiple of 3 - last two digits multiple of 4.
Immediately UNFACTOR or vice versa

16. What to do with equations that have fractions
P(E) + P(F) - P(E and F)
(amount of change) / (original amount)
s Sq. rt (x^r)
Immediately try factoring/simplifying when possible

17. 45-45-90 triangle basic lengths of sides
22
16.6%
3-4-5 - 5-12-13 - 9-12-15
x - x - x(sq. rt 2)

18. Sq. rt(3)
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
1.7
22
-b +- sq. rt(b^2 - 4ac) / 2a

19. 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.
x(sq. rt 3) - x - 2x
1st Rule of Probability: Basic Rule is what?
Odd
The probability of event occurring is...

20. In general - medium questions require how many steps to solve?
-b +- sq. rt(b^2 - 4ac) / 2a
y2 - y1 / x2 - x1
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
2 steps

21. Price purchased for by wholesaler
Purchase price
(# of favorable outcomes) / (# of possible outcomes)
1st Rule of Probability: Basic Rule is what?
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

22. gcd(m,n)*lcm(m,n)
gcd(m,n)*lcm(m,n) = mn
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)
3 - 6 - 9 - 12
If the outcome of one event affects the outcome of the other event.

23. x^r/s = ?
(# of favorable outcomes) / (# of possible outcomes)
Sum of digits is multiple of 3 - last two digits multiple of 4.
Even
s Sq. rt (x^r)

24. 1/6 = what %
Minor arc = 2(inscribed angle)
16.6%
12^3
(n-1)!

25. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
3 - 6 - 9 - 12
1.4
The amount after deductions

26. Compound interest rule
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
If the outcome of one event affects the outcome of the other event.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Find simple interest then look for the answer that is a little bigger

27. Quadratic formula
Last two digits are multiple of 4 or the number can be divided by 2 twice.
-b +- sq. rt(b^2 - 4ac) / 2a
P(E) + P(F) - P(E and F)
always try to factor

28. How to check whether a number is a multiple of 12.
Minor arc = 2(inscribed angle)
If the outcome of one event affects the outcome of the other event.
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.
Sum of digits is multiple of 3 - last two digits multiple of 4.

29. 5/6 = what %
sum = (average)(number of terms)
22
83.3%
D or E

30. Price sold for by retailer (after markup)
y2 - y1 / x2 - x1
The total amount before any deductions
market value
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.

31. To determine the number of integers less than 5000 that are evenly divisible by 15...?
always try to factor
Minor arc = 2(inscribed angle)
Divide 4999 by 15 => 333 integers
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

32. Odd and Even rule.
1 - P(E)
Figure out the probability for each individual event. Multiply the individual probabilities together.
Any multiplication involving an even number creates an even product.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

33. Compound interest formula
Principal (1 + interest/number times compounded)^(t)(n)
Immediately UNFACTOR or vice versa
Any multiplication involving an even number creates an even product.
gcd(m,n)*lcm(m,n) = mn

34. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
Purchase price
Odd
gcd(m,n)*lcm(m,n) = mn
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

35. 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?
Number is a multiple of 3 and 2
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.
n! / (n - r)!
14 liters

36. 30-60-90 triangle basic lengths of sides
x(sq. rt 3) - x - 2x
$11 - 025
Gross Profit = Selling Price - Cost
Sum of digits is multiple of 3 - last two digits multiple of 4.

37. Formula for Mixed Group problems (involving Both/Neither)
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)
(total A) / (total B)
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
Group 1 + Group 2 + Neither - Both = Total

38. Multiples of 3
The probability of an event occurring plus the probability of the event not occurring = 1
sum = (average)(number of terms)
Immediately UNFACTOR or vice versa
3 - 6 - 9 - 12

39. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
14 liters
22
The total amount before any deductions
Immediately try factoring/simplifying when possible

40. 0! = ?
market value
180(n-2)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1

41. gcd(m,n)
(x-n(n)y-n)
P(E) + P(F) - P(E and F)
______ |m-n|
Balancing

42. What does the Sum of the angles in a Regular Polygon formula look like?
Exterior angle d is equal to the sum of the two remote interior angles a and b
The probability of an event occurring plus the probability of the event not occurring = 1
gcd(m,n)*lcm(m,n) = mn
180(n-2)

43. Combined Events: E and F
P(E)P(F)
1.4
1
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

44. Simple probability
P(E)P(F)
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.
Sum of digits is multiple of 3
(# of favorable outcomes) / (# of possible outcomes)

45. Multiplication principle
| A union B| = |A| + |B| - |A intersect B|
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.
(x-n(n)y-n)
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

46. Set Problems formula
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
at least 3 steps
The probability of event occurring is...
(x-n(n)y-n)

47. 2nd Rule of Probability: P(E) = 1 - P(not E)
Purchase price
The probability of an event occurring plus the probability of the event not occurring = 1
Find simple interest then look for the answer that is a little bigger
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

48. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
at least 3 steps
Immediately try factoring/simplifying when possible
y2 - y1 / x2 - x1
D or E

49. Trial Problems: look at the probability of NOT OCCURRING
P(E)P(F)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Minor arc = 2(inscribed angle)
P(event NOT occurring) = 1 - P(event occurring)

50. (1/4)^2
Exterior angle d is equal to the sum of the two remote interior angles a and b
1/16
12^3
Find simple interest then look for the answer that is a little bigger