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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. Multiples of 3
3 - 6 - 9 - 12
Figure out the probability for each individual event. Multiply the individual probabilities together.
(total A) / (total B)
Principal (1 + interest/number times compounded)^(t)(n)

2. How to check whether number is multiple of 9
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)
n! / (n - r)!
Sum of digits is multiple of 9
14 liters

3. Compound interest rule
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.
Find simple interest then look for the answer that is a little bigger
$11 - 025
Sum of digits is multiple of 3

4. Gross Profit formula
Gross Profit = Selling Price - Cost
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)
Number is a multiple of 3 and 2
1.4

5. 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
-b +- sq. rt(b^2 - 4ac) / 2a
Organize into a grid.
Last two digits are multiple of 4 or the number can be divided by 2 twice.

6. 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.
The probability of event occurring is...
12^3
1 - P(E)

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.
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
Even
1st Rule of Probability: Basic Rule is what?
P(event NOT occurring) = 1 - P(event occurring)

8. 2n+1 - 2n+3 - 2n+5
Principal (1 + interest/number times compounded)^(t)(n)
Odd
always try to factor
3 - 6 - 9 - 12

9. Gross
The total amount before any deductions
1st Rule of Probability: Basic Rule is what?
16.6%
Gross Profit = Selling Price - Cost

10. gcd(m,n)*lcm(m,n)
gcd(m,n)*lcm(m,n) = mn
Odd numbers only have ___________
16.6%
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

11. The number of outcomes that result in A divided by the total number of possible outcomes.
1
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 event occurring is...
n! / (n - r)!

12. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
market value
$11 - 025
83.3%
347

13. Simple probability
(# of favorable outcomes) / (# of possible outcomes)
always try to factor
347
P(event NOT occurring) = 1 - P(event occurring)

14. The number of ways independent events can occur together.
| A union B| = |A| + |B| - |A intersect B|
sum = (average)(number of terms)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
x(sq. rt 3) - x - 2x

15. Volume of a sphere
83.3%
Any multiplication involving an even number creates an even product.
(n-1)!
4/3 TT r ^3

16. Percent Formula
p/100 = is/of
Sum of digits is multiple of 9
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.
s Sq. rt (x^r)

17. 2n - 2n+2 - 2n+4
p/100 = is/of
Even
If the outcome of one event affects the outcome of the other event.
Odd

18. What to do with equations that have fractions
sum = (average)(number of terms)
1
Immediately try factoring/simplifying when possible
(total distance) / (total time)

19. Properties of 0
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
A = P(1 + r) ^n
1.4
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

20. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
Odd numbers only have ___________
y2 - y1 / x2 - x1
Sum of digits is multiple of 9

21. Price sold for by retailer (after markup)
sum = (average)(number of terms)
market value
(x-n(n)y-n)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

22. Sum of consecutive numbers
sum = (average)(number of terms)
2 steps
1 - P(E)
(n-1)!

23. gcd(m,n)
Immediately try factoring/simplifying when possible
1.7
1/16
______ |m-n|

24. Indistinguishable events how to find the number of permutations

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25. How to find all divisors of a number
2 steps
Find all prime factors
Find simple interest then look for the answer that is a little bigger
(# of favorable outcomes) / (# of possible outcomes)

26. 1/8 = what %
Minor arc = 2(inscribed angle)
Group 1 + Group 2 + Neither - Both = Total
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.
12.5%

27. The average of consecutive numbers
1st Rule of Probability: Basic Rule is what?
-b +- sq. rt(b^2 - 4ac) / 2a
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

28. Compound interest formula
Principal (1 + interest/number times compounded)^(t)(n)
Number is a multiple of 3 and 2
1
x(sq. rt 3) - x - 2x

29. 3rd Rule of Probability: Conditional Probability
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Even
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.
market value

30. Formula for Mixed Group problems (involving Both/Neither)
Sum of digits is multiple of 3
Group 1 + Group 2 + Neither - Both = Total
always try to factor
1.4

31. 1/6 = what %
Balancing
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.
180(n-2)
16.6%

32. Dependent events: When are two events said to be dependent events?
always try to factor
If the outcome of one event affects the outcome of the other event.
(# of favorable outcomes) / (# of possible outcomes)
x - x - x(sq. rt 2)

33. Quadratic formula
Any multiplication involving an even number creates an even product.
12.5%
n! / (n - r)!
-b +- sq. rt(b^2 - 4ac) / 2a

34. In general - difficult questions require how many steps to solve?
(total distance) / (total time)
Group 1 + Group 2 + Neither - Both = Total
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.
at least 3 steps

35. Work problem rule
p/100 = is/of
3 - 6 - 9 - 12
(amount of change) / (original amount)
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.

36. Net
22
The amount after deductions
The probability of event occurring is...
y2 - y1 / x2 - x1

37. How to check whether a number is a multiple of 3.
Immediately UNFACTOR or vice versa
14 liters
P(event NOT occurring) = 1 - P(event occurring)
Sum of digits is multiple of 3

38. How to find the slope.
p/100 = is/of
market value
y2 - y1 / x2 - x1
(total distance) / (total time)

39. 0! = ?
$11 - 025
Balancing
(n-1)!
1

40. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
n! / (n - r)!
$11 - 025
D or E
1/16

41. 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 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
Gross Profit = Selling Price - Cost
12.5%
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.

42. 4th rule of Probability
Odd numbers only have ___________
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)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
1.4

43. 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.
Even
2 steps
x(sq. rt 3) - x - 2x
Organize into a grid.

44. Formula for area of a Trapezoid
Gross Profit = Selling Price - Cost
(sum of bases)(height) / 2
1.4
1

45. x^r/s = ?
1
2 steps
at least 3 steps
s Sq. rt (x^r)

46. What does the Sum of the angles in a Regular Polygon formula look like?
180(n-2)
Gross Profit = Selling Price - Cost
y2 - y1 / x2 - x1
| A union B| = |A| + |B| - |A intersect B|

47. Price purchased for by wholesaler
The probability of event occurring is...
n! / (n - r)!
Purchase price
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.

48. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
(n-1)!
14 liters
n! / (n - r)!
347

49. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Divide 4999 by 15 => 333 integers
Minor arc = 2(inscribed angle)
market value
Gross Profit = Selling Price - Cost

50. To determine multiple-event probability where each individual event must occur in a certain way.
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
Figure out the probability for each individual event. Multiply the individual probabilities together.
______ |m-n|