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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. 0! = ?
1
| 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.
-b +- sq. rt(b^2 - 4ac) / 2a

2. Percent Formula
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
(amount of change) / (original amount)
The total amount before any deductions
p/100 = is/of

3. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
Sum of digits is multiple of 9
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 number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

4. x^r/s = ?
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
Immediately try factoring/simplifying when possible
s Sq. rt (x^r)
Minor arc = 2(inscribed angle)

5. The number of ways independent events can occur together.
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 number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
(amount of change) / (original amount)
always try to factor

6. Intersecting Sets
| A union B| = |A| + |B| - |A intersect B|
Immediately try factoring/simplifying when possible
The total amount before any deductions
(sum of bases)(height) / 2

7. 1/8 = what %
Even
If the outcome of one event affects the outcome of the other event.
market value
12.5%

8. Sq. rt(2)
1.4
Gross Profit = Selling Price - Cost
1.7
Figure out the probability for each individual event. Multiply the individual probabilities together.

9. 2n - 2n+2 - 2n+4
P(event NOT occurring) = 1 - P(event occurring)
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.
14 liters
Even

10. Simple probability
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.
(# of favorable outcomes) / (# of possible outcomes)
16.6%

11. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Divide 4999 by 15 => 333 integers
12^3
x - x - x(sq. rt 2)
0.15n + 0.08(5) = 0.1(n+5)

12. How to check whether a number is a multiple of 3.
Divide 4999 by 15 => 333 integers
Sum of digits is multiple of 3
Balancing
22

13. Sq. rt(3)
Immediately UNFACTOR or vice versa
P(event NOT occurring) = 1 - P(event occurring)
1.7
P(E)P(F)

14. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
3-4-5 - 5-12-13 - 9-12-15
2 steps
(n-1)!
(# of favorable outcomes) / (# of possible outcomes)

15. Compound interest formula
| A union B| = |A| + |B| - |A intersect B|
Purchase price
180(n-2)
Principal (1 + interest/number times compounded)^(t)(n)

16. Three triangle length patterns
3-4-5 - 5-12-13 - 9-12-15
The total amount before any deductions
______ |m-n|
(total A) / (total B)

17. Indistinguishable events how to find the number of permutations

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18. How do you multiply roots together.
x - x - x(sq. rt 2)
Sum of digits is multiple of 9
Organize into a grid.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

19. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
22
Group 1 + Group 2 + Neither - Both = Total
12.5%
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

20. To determine multiple-event probability where each individual event must occur in a certain way.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Group 1 + Group 2 + Neither - Both = Total
Figure out the probability for each individual event. Multiply the individual probabilities together.
The probability of event occurring is...

21. 1/6 = what %
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
16.6%
P(E)P(F)
D or E

22. In general - medium questions require how many steps to solve?
(sum of bases)(height) / 2
2 steps
n! / (n - r)!
(total distance) / (total time)

23. Average Rate: Average speed
(total distance) / (total time)
P(E) + P(F) - P(E and F)
2 steps
Odd

24. Odd Factors
(total A) / (total B)
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.
______ |m-n|
Odd numbers only have ___________

25. 4th rule of Probability
Number is a multiple of 3 and 2
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
16.6%

26. How to find all divisors of a number
1.7
Purchase price
A = P(1 + r) ^n
Find all prime factors

27. Prime Factorization to find Greatest Common Factor
(amount of change) / (original amount)
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. 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
Minor arc = 2(inscribed angle)

28. Properties of 0
The total amount before any deductions
The probability of event occurring is...
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
3-4-5 - 5-12-13 - 9-12-15

29. Set Problems formula
y2 - y1 / x2 - x1
Any multiplication involving an even number creates an even product.
The total amount before any deductions
(x-n(n)y-n)

30. How to check whether number is multiple of 9
Immediately UNFACTOR or vice versa
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 9
1.4

31. Combined Events: E or F
Any multiplication involving an even number creates an even product.
y2 - y1 / x2 - x1
s Sq. rt (x^r)
P(E) + P(F) - P(E and F)

32. Dependent events: When are two events said to be dependent events?
If the outcome of one event affects the outcome of the other event.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
16.6%
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.

33. 30-60-90 triangle basic lengths of sides
Last two digits are multiple of 4 or the number can be divided by 2 twice.
3-4-5 - 5-12-13 - 9-12-15
x(sq. rt 3) - x - 2x
Balancing

34. How to check whether a number is a multiple of 6
x - x - x(sq. rt 2)
Number is a multiple of 3 and 2
The probability of an event occurring plus the probability of the event not occurring = 1
Odd numbers only have ___________

35. Percent increase = ?
at least 3 steps
Sum of digits is multiple of 9
Any multiplication involving an even number creates an even product.
(amount of change) / (original amount)

36. Average Rate: Average A per B
22
The total amount before any deductions
(total A) / (total B)
A = P(1 + r) ^n

37. The average of consecutive numbers
Balancing
14 liters
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
The probability of event occurring is...

38. How to check for a prime number.

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39. 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.
14 liters
Immediately try factoring/simplifying when possible
1st Rule of Probability: Basic Rule is what?
Minor arc = 2(inscribed angle)

40. Price purchased for by wholesaler
Purchase price
Any multiplication involving an even number creates an even product.
D or E
P(E) + P(F) - P(E and F)

41. What to do with equations that have fractions
x - x - x(sq. rt 2)
Any multiplication involving an even number creates an even product.
Immediately try factoring/simplifying when possible
1 - P(E)

42. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Organize into a grid.
D or E
12.5%

43. Inscribed Angle - Minor Arc
Sum of digits is multiple of 9
1st Rule of Probability: Basic Rule is what?
Minor arc = 2(inscribed angle)
The total amount before any deductions

44. (1/4)^2
P(E) + P(F) - P(E and F)
1/16
4/3 TT r ^3
Immediately try factoring/simplifying when possible

45. In general - difficult questions require how many steps to solve?
(total distance) / (total time)
at least 3 steps
Any multiplication involving an even number creates an even product.
x(sq. rt 3) - x - 2x

46. Combined Events: E and F
347
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)
P(E)P(F)
Immediately UNFACTOR or vice versa

47. 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
1.7
Odd numbers only have ___________
p/100 = is/of
Balancing

48. Formula for area of a Trapezoid
Find all prime factors
(sum of bases)(height) / 2
s Sq. rt (x^r)
Figure out the probability for each individual event. Multiply the individual probabilities together.

49. 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.
Find all prime factors
Odd numbers only have ___________
The probability of an event occurring plus the probability of the event not occurring = 1

50. gcd(m,n)*lcm(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
Immediately try factoring/simplifying when possible
A = P(1 + r) ^n
gcd(m,n)*lcm(m,n) = mn