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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. Price purchased for by wholesaler
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
0.15n + 0.08(5) = 0.1(n+5)
Purchase price
Figure out the probability for each individual event. Multiply the individual probabilities together.

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

3. Net
The amount after deductions
14 liters
180(n-2)
1/16

4. 3^3 x 4^3 = ?
Immediately UNFACTOR or vice versa
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.
12^3
83.3%

5. Average Rate: Average speed
(total distance) / (total time)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
______ |m-n|
1.7

6. 45-45-90 triangle basic lengths of sides
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.
x - x - x(sq. rt 2)
The probability of an event occurring plus the probability of the event not occurring = 1
3 - 6 - 9 - 12

7. Three triangle length patterns
Odd numbers only have ___________
3-4-5 - 5-12-13 - 9-12-15
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.
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

8. To determine multiple-event probability where each individual event must occur in a certain way.
Group 1 + Group 2 + Neither - Both = Total
Figure out the probability for each individual event. Multiply the individual probabilities together.
| A union B| = |A| + |B| - |A intersect B|
at least 3 steps

9. Sq. rt(3)
1st Rule of Probability: Basic Rule is what?
1.7
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
principle (interest rate - in decimal form) (time - in years)

10. Quadratic formula
Find all prime factors
-b +- sq. rt(b^2 - 4ac) / 2a
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.
y2 - y1 / x2 - x1

11. Sum of consecutive numbers
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.
sum = (average)(number of terms)
Minor arc = 2(inscribed angle)
1/16

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
The total amount before any deductions
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
sum = (average)(number of terms)

13. 2n - 2n+2 - 2n+4
p/100 = is/of
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.
4/3 TT r ^3
Even

14. How do you multiply roots together.
Find all prime factors
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
The probability of an event occurring plus the probability of the event not occurring = 1
Figure out the probability for each individual event. Multiply the individual probabilities together.

15. How many liters of a solution that is 15% salt must be added to 5 liters of a solution that is 8% salt so that the resulting mixture is 10% salt?
D or E
Balancing
0.15n + 0.08(5) = 0.1(n+5)
Purchase price

16. How to check whether a number is a multiple of 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.
Number is a multiple of 3 and 2
Principal (1 + interest/number times compounded)^(t)(n)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

17. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
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
Organize into a grid.
Number is a multiple of 3 and 2
$11 - 025

18. What to do with equations that have fractions
principle (interest rate - in decimal form) (time - in years)
y2 - y1 / x2 - x1
Immediately try factoring/simplifying when possible
(x-n(n)y-n)

19. Formula for area of a Trapezoid
(sum of bases)(height) / 2
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Group 1 + Group 2 + Neither - Both = Total
s Sq. rt (x^r)

20. How to check whether number is multiple of 9
Sum of digits is multiple of 9
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 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 the outcome of one event affects the outcome of the other event.

21. 4th rule of Probability
3 - 6 - 9 - 12
16.6%
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)
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.

22. 2n+1 - 2n+3 - 2n+5
sum = (average)(number of terms)
market value
83.3%
Odd

23. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
14 liters
P(event NOT occurring) = 1 - P(event occurring)
347
Divide 4999 by 15 => 333 integers

24. Price sold for by retailer (after markup)
12.5%
Group 1 + Group 2 + Neither - Both = Total
Figure out the probability for each individual event. Multiply the individual probabilities together.
market value

25. Percent increase = ?
(amount of change) / (original amount)
16.6%
Gross Profit = Selling Price - Cost
1.7

26. Inscribed Angle - Minor Arc
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.
Figure out the probability for each individual event. Multiply the individual probabilities together.
Minor arc = 2(inscribed angle)
The probability of an event occurring plus the probability of the event not occurring = 1

27. 30-60-90 triangle basic lengths of sides
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.
x(sq. rt 3) - x - 2x
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)

28. Triangle abc with d on the outside with a line. What does d = ?
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.
Exterior angle d is equal to the sum of the two remote interior angles a and b
Group 1 + Group 2 + Neither - Both = Total
If the outcome of one event affects the outcome of the other event.

29. In general - medium questions require how many steps to solve?
2 steps
12.5%
Exterior angle d is equal to the sum of the two remote interior angles a and b
83.3%

30. x^r/s = ?
A = P(1 + r) ^n
s Sq. rt (x^r)
22
Organize into a grid.

31. Odd and Even rule.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
P(E) + P(F) - P(E and F)
Gross Profit = Selling Price - Cost
Any multiplication involving an even number creates an even product.

32. How to check for a prime number.

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33. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
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.
D or E
(n-1)!

34. Percent Formula
4/3 TT r ^3
p/100 = is/of
Figure out the probability for each individual event. Multiply the individual probabilities together.
Purchase price

35. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
y2 - y1 / x2 - x1
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

36. 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.
at least 3 steps
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.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1st Rule of Probability: Basic Rule is what?

37. How to find the slope.
y2 - y1 / x2 - x1
180(n-2)
Gross Profit = Selling Price - Cost
D or E

38. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
P(event NOT occurring) = 1 - P(event occurring)
(n-1)!
3 - 6 - 9 - 12
n! / (n - r)!

39. Multiples of 3
(total A) / (total B)
D or E
3 - 6 - 9 - 12
x(sq. rt 3) - x - 2x

40. Combined Events: Not E = P(not E) = ?
The amount after deductions
sum = (average)(number of terms)
Odd
1 - P(E)

41. Compound interest rule
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 simple interest then look for the answer that is a little bigger
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.

42. How to check whether a number is a multiple of 3.
Sum of digits is multiple of 3
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
4/3 TT r ^3
Group 1 + Group 2 + Neither - Both = Total

43. Gross
always try to factor
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
22
The total amount before any deductions

44. 5/6 = what %
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.
83.3%
Last two digits are multiple of 4 or the number can be divided by 2 twice.
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. 1/6 = what %
2 steps
Divide 4999 by 15 => 333 integers
16.6%
-b +- sq. rt(b^2 - 4ac) / 2a

46. (1/4)^2
P(E) + P(F) - P(E and F)
1/16
Any multiplication involving an even number creates an even product.
Divide 4999 by 15 => 333 integers

47. Multiplication principle
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 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 liters
(# of favorable outcomes) / (# of possible outcomes)

48. The number of outcomes that result in A divided by the total number of possible outcomes.
Exterior angle d is equal to the sum of the two remote interior angles a and b
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
Balancing
The probability of event occurring is...

49. Average Rate: Average A per B
Number is a multiple of 3 and 2
Even
(total A) / (total B)
sum = (average)(number of terms)

50. To determine the number of integers less than 5000 that are evenly divisible by 15...?
y2 - y1 / x2 - x1
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 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.
Divide 4999 by 15 => 333 integers