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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. Quadratic formula
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
-b +- sq. rt(b^2 - 4ac) / 2a
Sum of digits is multiple of 3
n! / (n - r)!

2. Compound interest rule
Find simple interest then look for the answer that is a little bigger
(total A) / (total B)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Organize into a grid.

3. Intersecting Sets
(amount of change) / (original amount)
(x-n(n)y-n)
| A union B| = |A| + |B| - |A intersect B|
Last two digits are multiple of 4 or the number can be divided by 2 twice.

4. Always try to factor
The amount after deductions
sum = (average)(number of terms)
A = P(1 + r) ^n
always try to factor

5. What to do with equations that have fractions
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.
Immediately try factoring/simplifying when possible
1
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

6. Price sold for by retailer (after markup)
3 - 6 - 9 - 12
y2 - y1 / x2 - x1
market value
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

7. 2n - 2n+2 - 2n+4
12.5%
Even
Group 1 + Group 2 + Neither - Both = Total
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

8. 3^3 x 4^3 = ?
22
-b +- sq. rt(b^2 - 4ac) / 2a
12^3
(total distance) / (total time)

9. Combined Events: E or F
3 - 6 - 9 - 12
Purchase price
(# of favorable outcomes) / (# of possible outcomes)
P(E) + P(F) - P(E and F)

10. Percent increase = ?
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.
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)

11. Permutations: Order Matters
n! / (n - r)!
D or E
P(event NOT occurring) = 1 - P(event occurring)
Odd numbers only have ___________

12. What does the Sum of the angles in a Regular Polygon formula look like?
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.
180(n-2)
3-4-5 - 5-12-13 - 9-12-15
Exterior angle d is equal to the sum of the two remote interior angles a and b

13. Sq. rt(2)
n! / (n - r)!
| A union B| = |A| + |B| - |A intersect B|
1.4
Sum of digits is multiple of 3

14. Gross Profit formula
x - x - x(sq. rt 2)
(sum of bases)(height) / 2
Gross Profit = Selling Price - Cost
(total A) / (total B)

15. Odd and Even rule.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
(x-n(n)y-n)
1 - P(E)
Any multiplication involving an even number creates an even product.

16. gcd(m,n)
2 steps
______ |m-n|
Gross Profit = Selling Price - Cost
14 liters

17. Price purchased for by wholesaler
principle (interest rate - in decimal form) (time - in years)
Purchase price
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(sq. rt 3) - x - 2x

18. Volume of a sphere
Minor arc = 2(inscribed angle)
14 liters
4/3 TT r ^3
The probability of event occurring is...

19. 5/6 = what %
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.
The amount after deductions
83.3%

20. 45-45-90 triangle basic lengths of sides
Even
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
x - x - x(sq. rt 2)
(sum of bases)(height) / 2

21. 0! = ?
83.3%
P(event NOT occurring) = 1 - P(event occurring)
p/100 = is/of
1

22. Simple probability
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.
(# of favorable outcomes) / (# of possible outcomes)
sum = (average)(number of terms)
16.6%

23. x^r/s = ?
0.15n + 0.08(5) = 0.1(n+5)
s Sq. rt (x^r)
The probability of event occurring is...
180(n-2)

24. Prime Factorization to find Greatest Common Factor
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
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
2 steps
market value

25. 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.
P(E)P(F)
(n-1)!
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.

26. 2nd Rule of Probability: P(E) = 1 - P(not E)
gcd(m,n)*lcm(m,n) = mn
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.
16.6%
The probability of an event occurring plus the probability of the event not occurring = 1

27. Triangle abc with d on the outside with a line. What does d = ?
Exterior angle d is equal to the sum of the two remote interior angles a and b
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
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
22

28. To determine multiple-event probability where each individual event must occur in a certain way.
Figure out the probability for each individual event. Multiply the individual probabilities together.
0.15n + 0.08(5) = 0.1(n+5)
P(E)P(F)
(sum of bases)(height) / 2

29. Properties of 0
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
12^3
D or E
Even

30. The number of outcomes that result in A divided by the total number of possible outcomes.
1.4
(sum of bases)(height) / 2
Immediately UNFACTOR or vice versa
The probability of event occurring is...

31. How to find the slope.
y2 - y1 / x2 - x1
P(E)P(F)
n! / (n - r)!
P(event NOT occurring) = 1 - P(event occurring)

32. 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?
P(event NOT occurring) = 1 - P(event occurring)
Any multiplication involving an even number creates an even product.
3 - 6 - 9 - 12
0.15n + 0.08(5) = 0.1(n+5)

33. Indistinguishable events how to find the number of permutations

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34. (1/4)^2
n! / (n - r)!
Purchase price
The amount after deductions
1/16

35. 1/6 = what %
16.6%
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
83.3%
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

36. Number added or deleted
Group 1 + Group 2 + Neither - Both = Total
Any multiplication involving an even number creates an even product.
x(sq. rt 3) - x - 2x
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

37. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
A = P(1 + r) ^n
(total distance) / (total time)
Exterior angle d is equal to the sum of the two remote interior angles a and b
347

38. Sq. rt(3)
Gross Profit = Selling Price - Cost
1.7
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)

39. How to check whether a number is a multiple of 3.
Immediately try factoring/simplifying when possible
Sum of digits is multiple of 3
1.7
(amount of change) / (original amount)

40. Net
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
The amount after deductions
Organize into a grid.
Find all prime factors

41. Percent Formula
(# of favorable outcomes) / (# of possible outcomes)
p/100 = is/of
always try to factor
Purchase price

42. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
-b +- sq. rt(b^2 - 4ac) / 2a
(n-1)!
16.6%
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

43. How to check whether number is multiple of 9
gcd(m,n)*lcm(m,n) = mn
Purchase price
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
Sum of digits is multiple of 9

44. Formula for Mixed Group problems (involving Both/Neither)
Group 1 + Group 2 + Neither - Both = Total
22
0.15n + 0.08(5) = 0.1(n+5)
x - x - x(sq. rt 2)

45. How to check for a prime number.

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46. Set Problems formula
The total amount before any deductions
(x-n(n)y-n)
principle (interest rate - in decimal form) (time - in years)
3 - 6 - 9 - 12

47. Odd Factors
Odd numbers only have ___________
P(E) + P(F) - P(E and F)
4/3 TT r ^3
22

48. Sum of consecutive numbers
Any multiplication involving an even number creates an even product.
sum = (average)(number of terms)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
12^3

49. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
Any multiplication involving an even number creates an even product.
(total A) / (total B)
(n-1)!
D or E

50. The number of ways independent events can occur together.
p/100 = is/of
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
s Sq. rt (x^r)
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.