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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. Combined Events: E or F
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)
y2 - y1 / x2 - x1
P(E) + P(F) - P(E and F)
1st Rule of Probability: Basic Rule is what?

2. gcd(m,n)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
The probability of an event occurring plus the probability of the event not occurring = 1
______ |m-n|
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. Intersecting Sets
P(E)P(F)
| A union B| = |A| + |B| - |A intersect B|
(amount of change) / (original amount)
(total distance) / (total time)

4. How to check whether a number is a multiple of 4.
1.7
(total A) / (total B)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
4/3 TT r ^3

5. Simple probability
(# of favorable outcomes) / (# of possible outcomes)
Odd numbers only have ___________
22
12.5%

6. Odd Factors
Exterior angle d is equal to the sum of the two remote interior angles a and b
Odd numbers only have ___________
(amount of change) / (original amount)
83.3%

7. 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.
1st Rule of Probability: Basic Rule is what?
Divide 4999 by 15 => 333 integers
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
2 steps

8. To determine the number of integers less than 5000 that are evenly divisible by 15...?
P(E)P(F)
Divide 4999 by 15 => 333 integers
12^3
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

9. What does the Sum of the angles in a Regular Polygon formula look like?
22
1st Rule of Probability: Basic Rule is what?
180(n-2)
3 - 6 - 9 - 12

10. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
1.4
1.7
347
(n-1)!

11. How to check whether a number is a multiple of 3.
(x-n(n)y-n)
Sum of digits is multiple of 3
2 steps
Sum of digits is multiple of 3 - last two digits multiple of 4.

12. 2nd Rule of Probability: P(E) = 1 - P(not E)
The probability of an event occurring plus the probability of the event not occurring = 1
12^3
Minor arc = 2(inscribed angle)
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.

13. Multiplication principle
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
1.7
Any multiplication involving an even number creates an even product.
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. 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.
always try to factor
x - x - x(sq. rt 2)
3 - 6 - 9 - 12

15. Combined Events: Not E = P(not E) = ?
1st Rule of Probability: Basic Rule is what?
Divide 4999 by 15 => 333 integers
1 - P(E)
market value

16. Formula for Mixed Group problems (involving Both/Neither)
Group 1 + Group 2 + Neither - Both = Total
Balancing
4/3 TT r ^3
(amount of change) / (original amount)

17. Average Rate: Average A per B
3-4-5 - 5-12-13 - 9-12-15
(total A) / (total B)
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.
Gross Profit = Selling Price - Cost

18. The number of ways independent events can occur together.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Organize into a grid.
-b +- sq. rt(b^2 - 4ac) / 2a
Last two digits are multiple of 4 or the number can be divided by 2 twice.

19. Gross
1 - P(E)
n! / (n - r)!
The probability of an event occurring plus the probability of the event not occurring = 1
The total amount before any deductions

20. To determine multiple-event probability where each individual event must occur in a certain way.
Figure out the probability for each individual event. Multiply the individual probabilities together.
(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
at least 3 steps

21. Percent Formula
p/100 = is/of
(n-1)!
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
P(event NOT occurring) = 1 - P(event occurring)

22. Odd and Even 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.
12^3
22
Any multiplication involving an even number creates an even product.

23. How to check whether a number is a multiple of 12.
p/100 = is/of
Sum of digits is multiple of 3 - last two digits multiple of 4.
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.
1/16

24. Sum of consecutive numbers
(amount of change) / (original amount)
Principal (1 + interest/number times compounded)^(t)(n)
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)
sum = (average)(number of terms)

25. Sq. rt(2)
Find simple interest then look for the answer that is a little bigger
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
1.4

26. Net
The amount after deductions
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Exterior angle d is equal to the sum of the two remote interior angles a and b
(amount of change) / (original amount)

27. Average Rate: Average speed
14 liters
(total distance) / (total time)
1 - P(E)
| A union B| = |A| + |B| - |A intersect B|

28. Prime Factorization to find Greatest Common Factor
22
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
Find simple interest then look for the answer that is a little bigger
Any multiplication involving an even number creates an even product.

29. x^r/s = ?
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
The total amount before any deductions
1.7
s Sq. rt (x^r)

30. What to do with equations that have fractions
Figure out the probability for each individual event. Multiply the individual probabilities together.
Immediately try factoring/simplifying when possible
p/100 = is/of
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

31. Multiples of 3
x - x - x(sq. rt 2)
(# of favorable outcomes) / (# of possible outcomes)
(total distance) / (total time)
3 - 6 - 9 - 12

32. How to check whether number is multiple of 9
3-4-5 - 5-12-13 - 9-12-15
12^3
1/16
Sum of digits is multiple of 9

33. Indistinguishable events how to find the number of permutations

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34. Probability and Geometry.
12.5%
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
Odd numbers only have ___________
Last two digits are multiple of 4 or the number can be divided by 2 twice.

35. 2n+1 - 2n+3 - 2n+5
Odd
x - x - x(sq. rt 2)
The probability of event occurring is...
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

36. 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?
Sum of digits is multiple of 3 - last two digits multiple of 4.
1.7
14 liters
Principal (1 + interest/number times compounded)^(t)(n)

37. 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
Balancing
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)
s Sq. rt (x^r)
2 steps

38. Three triangle length patterns
2 steps
P(E) + P(F) - P(E and F)
3-4-5 - 5-12-13 - 9-12-15
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. 3^3 x 4^3 = ?
12^3
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.
Number is a multiple of 3 and 2

40. Combined Events: E and F
P(E)P(F)
12.5%
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Sum of digits is multiple of 3

41. Price purchased for by wholesaler
______ |m-n|
Group 1 + Group 2 + Neither - Both = Total
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Purchase price

42. The number of outcomes that result in A divided by the total number of possible outcomes.
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 average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Odd
The probability of event occurring is...

43. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
D or E
______ |m-n|
1/16
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.

44. 1/6 = what %
16.6%
y2 - y1 / x2 - x1
If the outcome of one event affects the outcome of the other event.
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.

45. How to find the slope.
y2 - y1 / x2 - x1
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Minor arc = 2(inscribed angle)
D or E

46. Sq. rt(3)
y2 - y1 / x2 - x1
1
1.7
A = P(1 + r) ^n

47. How do you multiply roots together.
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
Figure out the probability for each individual event. Multiply the individual probabilities together.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1st Rule of Probability: Basic Rule is what?

48. Volume of a sphere
Even
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
Sum of digits is multiple of 9
4/3 TT r ^3

49. Always try to factor
always try to factor
(n-1)!
1 - P(E)
1.4

50. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
Gross Profit = Selling Price - Cost
14 liters
22
Group 1 + Group 2 + Neither - Both = Total