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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. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
12.5%
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.
Purchase price
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

2. Average Rate: Average A per B
347
0.15n + 0.08(5) = 0.1(n+5)
Immediately UNFACTOR or vice versa
(total A) / (total B)

3. Sq. rt(2)
sum = (average)(number of terms)
(amount of change) / (original amount)
1.4
y2 - y1 / x2 - x1

4. How to check whether a number is a multiple of 12.
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.
(x-n(n)y-n)
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 3 - last two digits multiple of 4.

5. How to check whether a number is a multiple of 4.
The amount after deductions
market value
P(event NOT occurring) = 1 - P(event occurring)
Last two digits are multiple of 4 or the number can be divided by 2 twice.

6. 1/6 = what %
12.5%
1 - P(E)
Number is a multiple of 3 and 2
16.6%

7. Number added or deleted
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Find simple interest then look for the answer that is a little bigger
Divide 4999 by 15 => 333 integers
Group 1 + Group 2 + Neither - Both = Total

8. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
gcd(m,n)*lcm(m,n) = mn
principle (interest rate - in decimal form) (time - in years)
Find simple interest then look for the answer that is a little bigger
(total distance) / (total time)

9. 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.
12.5%
(sum of bases)(height) / 2
$11 - 025
1st Rule of Probability: Basic Rule is what?

10. Formula for Mixed Group problems (involving Both/Neither)
Number is a multiple of 3 and 2
Group 1 + Group 2 + Neither - Both = Total
The probability of an event occurring plus the probability of the event not occurring = 1
1st Rule of Probability: Basic Rule is what?

11. How to check whether a number is a multiple of 3.
Balancing
y2 - y1 / x2 - x1
Sum of digits is multiple of 3
Immediately UNFACTOR or vice versa

12. 2nd Rule of Probability: P(E) = 1 - P(not E)
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.
83.3%
The probability of an event occurring plus the probability of the event not occurring = 1
Sum of digits is multiple of 3 - last two digits multiple of 4.

13. In general - medium questions require how many steps to solve?
Principal (1 + interest/number times compounded)^(t)(n)
3 - 6 - 9 - 12
2 steps
n! / (n - r)!

14. Always try to factor
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
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
P(E)P(F)
always try to factor

15. 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
at least 3 steps
(# of favorable outcomes) / (# of possible outcomes)
Exterior angle d is equal to the sum of the two remote interior angles a and b
Balancing

16. Odd and Even rule.
1.4
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Organize into a grid.
Any multiplication involving an even number creates an even product.

17. Volume of a sphere
4/3 TT r ^3
The probability of an event occurring plus the probability of the event not occurring = 1
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.
Minor arc = 2(inscribed angle)

18. Simple probability
(# of favorable outcomes) / (# of possible outcomes)
Balancing
83.3%
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.

19. 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.
(total A) / (total B)
Gross Profit = Selling Price - Cost
Any multiplication involving an even number creates an even product.

20. Percent increase = ?
(amount of change) / (original amount)
gcd(m,n)*lcm(m,n) = mn
A = P(1 + r) ^n
Odd numbers only have ___________

21. The number of outcomes that result in A divided by the total number of possible outcomes.
Find all prime factors
The probability of event occurring is...
Odd
22

22. 30-60-90 triangle basic lengths of sides
Principal (1 + interest/number times compounded)^(t)(n)
Figure out the probability for each individual event. Multiply the individual probabilities together.
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.

23. 1/8 = what %
Principal (1 + interest/number times compounded)^(t)(n)
12.5%
If the outcome of one event affects the outcome of the other event.
Odd numbers only have ___________

24. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
(n-1)!
Gross Profit = Selling Price - Cost
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Figure out the probability for each individual event. Multiply the individual probabilities together.

25. Triangle abc with d on the outside with a line. What does d = ?
Group 1 + Group 2 + Neither - Both = Total
83.3%
Exterior angle d is equal to the sum of the two remote interior angles a and b
3 - 6 - 9 - 12

26. Permutations: Order Matters
x(sq. rt 3) - x - 2x
n! / (n - r)!
347
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

27. Multiples of 3
(total distance) / (total time)
Number is a multiple of 3 and 2
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
3 - 6 - 9 - 12

28. Average Rate: Average speed
(total distance) / (total time)
Sum of digits is multiple of 3
s Sq. rt (x^r)
14 liters

29. Combined Events: E and F
P(E)P(F)
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
Last two digits are multiple of 4 or the number can be divided by 2 twice.
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.

30. Multiplication principle
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
P(E) + P(F) - P(E and F)
| A union B| = |A| + |B| - |A intersect B|
1st Rule of Probability: Basic Rule is what?

31. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
0.15n + 0.08(5) = 0.1(n+5)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
16.6%
347

32. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
22
3 - 6 - 9 - 12
Balancing
x - x - x(sq. rt 2)

33. 2n - 2n+2 - 2n+4
Divide 4999 by 15 => 333 integers
Sum of digits is multiple of 3
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.
Even

34. Quadratic formula
______ |m-n|
-b +- sq. rt(b^2 - 4ac) / 2a
x - x - x(sq. rt 2)
P(event NOT occurring) = 1 - P(event occurring)

35. Properties of 0
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Exterior angle d is equal to the sum of the two remote interior angles a and b
The probability of event occurring is...
(sum of bases)(height) / 2

36. Gross Profit formula
12^3
Gross Profit = Selling Price - Cost
P(E)P(F)
3-4-5 - 5-12-13 - 9-12-15

37. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
$11 - 025
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.
1.7

38. Odd Factors
(n-1)!
Odd numbers only have ___________
D or E
Divide 4999 by 15 => 333 integers

39. 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)
P(E) + P(F) - P(E and F)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1.4

40. Sq. rt(3)
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.
1.7
Organize into a grid.
Minor arc = 2(inscribed angle)

41. How to find the slope.
y2 - y1 / x2 - x1
Find simple interest then look for the answer that is a little bigger
market value
0.15n + 0.08(5) = 0.1(n+5)

42. 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?
The probability of event occurring is...
(total distance) / (total time)
0.15n + 0.08(5) = 0.1(n+5)
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)

43. Price purchased for by wholesaler
16.6%
| A union B| = |A| + |B| - |A intersect B|
Purchase price
If the outcome of one event affects the outcome of the other event.

44. Sum of consecutive numbers
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
(total distance) / (total time)
gcd(m,n)*lcm(m,n) = mn
sum = (average)(number of terms)

45. Probability and Geometry.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
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
| A union B| = |A| + |B| - |A intersect B|
1/16

46. To determine multiple-event probability where each individual event must occur in a certain way.
Organize into a grid.
y2 - y1 / x2 - x1
Figure out the probability for each individual event. Multiply the individual probabilities together.
The amount after deductions

47. In general - difficult questions require how many steps to solve?
(amount of change) / (original amount)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each 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.
at least 3 steps

48. Intersecting Sets
Figure out the probability for each individual event. Multiply the individual probabilities together.
D or E
| A union B| = |A| + |B| - |A intersect B|
If the outcome of one event affects the outcome of the other event.

49. Percent Formula
Balancing
p/100 = is/of
The probability of event occurring is...
The total amount before any deductions

50. When you see an equation in factored form in a question?
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)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Immediately UNFACTOR or vice versa