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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. Gross Profit formula
x - x - x(sq. rt 2)
The probability of event occurring is...
Gross Profit = Selling Price - Cost
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.

2. 3rd Rule of Probability: Conditional Probability
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.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
s Sq. rt (x^r)
347

3. 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.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Organize into a grid.
(total A) / (total B)
The total amount before any deductions

4. Indistinguishable events how to find the number of permutations

5. What to do with equations that have fractions
16.6%
Divide 4999 by 15 => 333 integers
Any multiplication involving an even number creates an even product.
Immediately try factoring/simplifying when possible

6. 5/6 = what %
Any multiplication involving an even number creates an even product.
83.3%
Principal (1 + interest/number times compounded)^(t)(n)
The probability of event occurring is...

7. Odd Factors
If the outcome of one event affects the outcome of the other event.
Principal (1 + interest/number times compounded)^(t)(n)
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.
Odd numbers only have ___________

8. Sq. rt(2)
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 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.
x - x - x(sq. rt 2)
1.4

9. Intersecting Sets
gcd(m,n)*lcm(m,n) = mn
| A union B| = |A| + |B| - |A intersect B|
1
Any multiplication involving an even number creates an even product.

10. Properties of 0
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
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)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
1st Rule of Probability: Basic Rule is what?

11. gcd(m,n)*lcm(m,n)
p/100 = is/of
Even
Organize into a grid.
gcd(m,n)*lcm(m,n) = mn

12. gcd(m,n)
______ |m-n|
The total amount before any deductions
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
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

13. Average Rate: Average A per B
principle (interest rate - in decimal form) (time - in years)
Balancing
(total A) / (total B)
Find simple interest then look for the answer that is a little bigger

14. Three triangle length patterns
Immediately UNFACTOR or vice versa
If the outcome of one event affects the outcome of the other event.
Odd numbers only have ___________
3-4-5 - 5-12-13 - 9-12-15

15. How to check whether number is multiple of 9
3 - 6 - 9 - 12
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
(amount of change) / (original amount)
Sum of digits is multiple of 9

16. 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
4/3 TT r ^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.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Sum of digits is multiple of 3

17. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
Immediately try factoring/simplifying when possible
$11 - 025
(n-1)!
Find simple interest then look for the answer that is a little bigger

18. 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.
gcd(m,n)*lcm(m,n) = mn
1st Rule of Probability: Basic Rule is what?
(x-n(n)y-n)
Purchase price

19. Price purchased for by wholesaler
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.
Purchase price
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Organize into a grid.

20. The number of outcomes that result in A divided by the total number of possible outcomes.
4/3 TT r ^3
The probability of event occurring is...
Last two digits are multiple of 4 or the number can be divided by 2 twice.
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.

21. How to check whether a number is a multiple of 4.
83.3%
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Find all prime factors
$11 - 025

22. How to check whether a number is a multiple of 12.
Sum of digits is multiple of 3 - last two digits multiple of 4.
Odd
Any multiplication involving an even number creates an even product.
gcd(m,n)*lcm(m,n) = mn

23. Set Problems formula
Exterior angle d is equal to the sum of the two remote interior angles a and b
4/3 TT r ^3
y2 - y1 / x2 - x1
(x-n(n)y-n)

24. 1/6 = what %
Minor arc = 2(inscribed angle)
180(n-2)
1.7
16.6%

25. Percent Formula
p/100 = is/of
Find all prime factors
(n-1)!
22

26. 4th rule of Probability
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)
x - x - x(sq. rt 2)
P(E) + P(F) - P(E and F)
Find simple interest then look for the answer that is a little bigger

27. How to find the slope.
y2 - y1 / x2 - x1
Immediately UNFACTOR or vice versa
______ |m-n|
22

28. 2n+1 - 2n+3 - 2n+5
Exterior angle d is equal to the sum of the two remote interior angles a and b
(sum of bases)(height) / 2
Figure out the probability for each individual event. Multiply the individual probabilities together.
Odd

29. Number added or deleted
12^3
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Immediately try factoring/simplifying when possible
(total distance) / (total time)

30. Combined Events: E and F
Find simple interest then look for the answer that is a little bigger
P(E)P(F)
Principal (1 + interest/number times compounded)^(t)(n)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

31. How to check for a prime number.

32. Inscribed Angle - Minor Arc
principle (interest rate - in decimal form) (time - in years)
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.
Minor arc = 2(inscribed angle)
A = P(1 + r) ^n

33. How to find all divisors of a number
83.3%
Find all prime factors
______ |m-n|
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.

34. Prime Factorization to find Greatest Common Factor
Sum of digits is multiple of 9
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
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
| A union B| = |A| + |B| - |A intersect B|

35. Compound interest formula
(total distance) / (total time)
Principal (1 + interest/number times compounded)^(t)(n)
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
2 steps

36. 45-45-90 triangle basic lengths of sides
x - x - x(sq. rt 2)
Odd
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)
(x-n(n)y-n)

37. Percent increase = ?
(amount of change) / (original amount)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
(x-n(n)y-n)
| A union B| = |A| + |B| - |A intersect B|

38. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
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.
P(E) + P(F) - P(E and F)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
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.

39. Odd and Even rule.
(x-n(n)y-n)
Divide 4999 by 15 => 333 integers
Any multiplication involving an even number creates an even product.
83.3%

40. How to check whether a number is a multiple of 6
Sum of digits is multiple of 9
Gross Profit = Selling Price - Cost
D or E
Number is a multiple of 3 and 2

41. Permutations: Order Matters
1 - P(E)
x - x - x(sq. rt 2)
n! / (n - r)!
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

42. Compound interest rule
1
Find simple interest then look for the answer that is a little bigger
at least 3 steps
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

43. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
(n-1)!
Sum of digits is multiple of 3 - last two digits multiple of 4.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

44. How do you multiply roots together.
A = P(1 + r) ^n
1st Rule of Probability: Basic Rule is what?
The probability of event occurring is...
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

45. Quadratic formula
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
p/100 = is/of
-b +- sq. rt(b^2 - 4ac) / 2a
sum = (average)(number of terms)

46. Net
The amount after deductions
s Sq. rt (x^r)
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
Divide 4999 by 15 => 333 integers

47. What does the Sum of the angles in a Regular Polygon formula look like?
p/100 = is/of
180(n-2)
A = P(1 + r) ^n
D or E

48. Combined Events: Not E = P(not E) = ?
sum = (average)(number of terms)
1 - P(E)
Figure out the probability for each individual event. Multiply the individual probabilities together.
D or E

49. To determine the number of integers less than 5000 that are evenly divisible by 15...?
sum = (average)(number of terms)
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
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Divide 4999 by 15 => 333 integers

50. Sq. rt(3)
Minor arc = 2(inscribed angle)
1.7
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Figure out the probability for each individual event. Multiply the individual probabilities together.