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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. 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)
1 - P(E)
Gross Profit = Selling Price - Cost

2. 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
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Gross Profit = Selling Price - Cost
1.7

3. Average Rate: Average speed
22
1
Exterior angle d is equal to the sum of the two remote interior angles a and b
(total distance) / (total time)

4. The number of outcomes that result in A divided by the total number of possible outcomes.
The probability of event occurring is...
Immediately try factoring/simplifying when possible
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.

5. Quadratic formula
Any multiplication involving an even number creates an even product.
Figure out the probability for each individual event. Multiply the individual probabilities together.
-b +- sq. rt(b^2 - 4ac) / 2a
Sum of digits is multiple of 9

6. How to check whether a number is a multiple of 12.
1 - P(E)
4/3 TT r ^3
Sum of digits is multiple of 3 - last two digits multiple of 4.
$11 - 025

7. 4th rule of Probability
Purchase price
12.5%
The probability of an event occurring plus the probability of the event not occurring = 1
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)

8. Combined Events: E or F
If the outcome of one event affects the outcome of the other event.
1/16
P(E) + P(F) - P(E and F)
Odd

9. Sq. rt(2)
1.4
Odd numbers only have ___________
sum = (average)(number of terms)
1.7

10. How to check whether a number is a multiple of 4.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
p/100 = is/of
x(sq. rt 3) - x - 2x
(# of favorable outcomes) / (# of possible outcomes)

11. x^r/s = ?
347
s Sq. rt (x^r)
p/100 = is/of
(x-n(n)y-n)

12. 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.
Find simple interest then look for the answer that is a little bigger
Immediately try factoring/simplifying when possible
Group 1 + Group 2 + Neither - Both = Total
1st Rule of Probability: Basic Rule is what?

13. 2nd Rule of Probability: P(E) = 1 - P(not E)
Minor arc = 2(inscribed angle)
-b +- sq. rt(b^2 - 4ac) / 2a
The probability of an event occurring plus the probability of the event not occurring = 1
at least 3 steps

14. 3^3 x 4^3 = ?
______ |m-n|
Principal (1 + interest/number times compounded)^(t)(n)
P(event NOT occurring) = 1 - P(event occurring)
12^3

15. Triangle abc with d on the outside with a line. What does d = ?
| A union B| = |A| + |B| - |A intersect B|
(total distance) / (total time)
1 - P(E)
Exterior angle d is equal to the sum of the two remote interior angles a and b

16. Sq. rt(3)
1.7
Gross Profit = Selling Price - Cost
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Sum of digits is multiple of 9

17. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
(amount of change) / (original amount)
s Sq. rt (x^r)
Even
22

18. 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
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.
14 liters
Find simple interest then look for the answer that is a little bigger
x(sq. rt 3) - x - 2x

19. Always try to factor
______ |m-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
A = P(1 + r) ^n
always try to factor

20. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
n! / (n - r)!
s Sq. rt (x^r)
Divide 4999 by 15 => 333 integers

21. Indistinguishable events how to find the number of permutations

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22. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
Organize into a grid.
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
principle (interest rate - in decimal form) (time - in years)
1st Rule of Probability: Basic Rule is what?

23. In general - difficult questions require how many steps to solve?
always try to factor
at least 3 steps
Immediately UNFACTOR or vice versa
1.4

24. Gross
Minor arc = 2(inscribed angle)
always try to factor
Sum of digits is multiple of 9
The total amount before any deductions

25. Sum of consecutive numbers
The probability of an event occurring plus the probability of the event not occurring = 1
Sum of digits is multiple of 9
sum = (average)(number of terms)
P(E) + P(F) - P(E and F)

26. Number added or deleted
Find simple interest then look for the answer that is a little bigger
Find all prime factors
Figure out the probability for each individual event. Multiply the individual probabilities together.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

27. Gross Profit formula
3 - 6 - 9 - 12
Group 1 + Group 2 + Neither - Both = Total
Immediately try factoring/simplifying when possible
Gross Profit = Selling Price - Cost

28. 2n+1 - 2n+3 - 2n+5
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.
The probability of an event occurring plus the probability of the event not occurring = 1
Odd
Sum of digits is multiple of 3 - last two digits multiple of 4.

29. Properties of 0
Sum of digits is multiple of 9
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
principle (interest rate - in decimal form) (time - in years)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

30. The average of consecutive numbers
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
(total A) / (total B)
Divide 4999 by 15 => 333 integers
3 - 6 - 9 - 12

31. Percent Formula
Sum of digits is multiple of 9
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.
p/100 = is/of
2 steps

32. Volume of a sphere
Immediately UNFACTOR or vice versa
4/3 TT r ^3
The total amount before any deductions
Figure out the probability for each individual event. Multiply the individual probabilities together.

33. Three triangle length patterns
n! / (n - r)!
P(event NOT occurring) = 1 - P(event occurring)
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
3-4-5 - 5-12-13 - 9-12-15

34. Multiplication principle
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
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 3 - last two digits multiple of 4.
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

35. (1/4)^2
1/16
______ |m-n|
2 steps
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

36. Set Problems formula
gcd(m,n)*lcm(m,n) = mn
y2 - y1 / x2 - x1
1
(x-n(n)y-n)

37. How to check whether a number is a multiple of 6
Immediately try factoring/simplifying when possible
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)
Immediately UNFACTOR or vice versa
Number is a multiple of 3 and 2

38. 45-45-90 triangle basic lengths of sides
y2 - y1 / x2 - x1
Figure out the probability for each individual event. Multiply the individual probabilities together.
x - x - x(sq. rt 2)
Immediately UNFACTOR or vice versa

39. How to find all divisors of a number
(total A) / (total B)
-b +- sq. rt(b^2 - 4ac) / 2a
Purchase price
Find all prime factors

40. To determine multiple-event probability where each individual event must occur in a certain way.
Purchase price
Odd numbers only have ___________
gcd(m,n)*lcm(m,n) = mn
Figure out the probability for each individual event. Multiply the individual probabilities together.

41. Odd Factors
Odd numbers only have ___________
22
(x-n(n)y-n)
83.3%

42. Trial Problems: look at the probability of NOT OCCURRING
P(event NOT occurring) = 1 - P(event occurring)
A = P(1 + r) ^n
14 liters
at least 3 steps

43. Formula for area of a Trapezoid
(sum of bases)(height) / 2
market value
(n-1)!
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

44. Dependent events: When are two events said to be dependent events?
If the outcome of one event affects the outcome of the other event.
at least 3 steps
(sum of bases)(height) / 2
Divide 4999 by 15 => 333 integers

45. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Divide 4999 by 15 => 333 integers
always try to factor
Balancing
Find simple interest then look for the answer that is a little bigger

46. Simple probability
180(n-2)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
(# of favorable outcomes) / (# of possible outcomes)

47. Intersecting Sets
| A union B| = |A| + |B| - |A intersect B|
gcd(m,n)*lcm(m,n) = mn
market value
83.3%

48. How to check whether a number is a multiple of 3.
Sum of digits is multiple of 3
at least 3 steps
1st Rule of Probability: Basic Rule is what?
0.15n + 0.08(5) = 0.1(n+5)

49. What does the Sum of the angles in a Regular Polygon formula look like?
Figure out the probability for each individual event. Multiply the individual probabilities together.
Odd
180(n-2)
Number is a multiple of 3 and 2

50. In general - medium questions require how many steps to solve?
Odd
2 steps
at least 3 steps
(x-n(n)y-n)