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GMAT Quantitative General

Subjects : gmat, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. When you see an equation in factored form in a question?
Immediately UNFACTOR or vice versa
The total amount before any deductions
(total A) / (total B)
(# of favorable outcomes) / (# of possible outcomes)

2. Price purchased for by wholesaler
83.3%
Sum of digits is multiple of 3
Purchase price
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

3. Percent Formula
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.
1/16
p/100 = is/of
Sum of digits is multiple of 3

4. gcd(m,n)*lcm(m,n)
The amount after deductions
12.5%
Last two digits are multiple of 4 or the number can be divided by 2 twice.
gcd(m,n)*lcm(m,n) = mn

5. Simple probability
(# of favorable outcomes) / (# of possible outcomes)
14 liters
| A union B| = |A| + |B| - |A intersect B|
Exterior angle d is equal to the sum of the two remote interior angles a and b

6. Sq. rt(3)
The total amount before any deductions
| A union B| = |A| + |B| - |A intersect B|
1.7
(sum of bases)(height) / 2

7. Permutations: Order Matters
| A union B| = |A| + |B| - |A intersect B|
n! / (n - r)!
22
1st Rule of Probability: Basic Rule is what?

8. How to check whether a number is a multiple of 12.
22
Divide 4999 by 15 => 333 integers
Sum of digits is multiple of 3 - last two digits multiple of 4.
x(sq. rt 3) - x - 2x

9. The number of outcomes that result in A divided by the total number of possible outcomes.
The probability of event occurring is...
at least 3 steps
s Sq. rt (x^r)
1

10. Probability and Geometry.
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
Figure out the probability for each individual event. Multiply the individual probabilities together.
(x-n(n)y-n)
market value

11. How to check for a prime number.

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12. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
Find simple interest then look for the answer that is a little bigger
2 steps
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Sum of digits is multiple of 3 - last two digits multiple of 4.

13. Formula for Mixed Group problems (involving Both/Neither)
always try to factor
Group 1 + Group 2 + Neither - Both = 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
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

14. 3^3 x 4^3 = ?
12^3
principle (interest rate - in decimal form) (time - in years)
-b +- sq. rt(b^2 - 4ac) / 2a
Group 1 + Group 2 + Neither - Both = Total

15. Odd and Even rule.
x(sq. rt 3) - x - 2x
Any multiplication involving an even number creates an even product.
1
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

16. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
Group 1 + Group 2 + Neither - Both = Total
x(sq. rt 3) - x - 2x
4/3 TT r ^3
347

17. 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
3 - 6 - 9 - 12
Balancing
Sum of digits is multiple of 3
P(event NOT occurring) = 1 - P(event occurring)

18. 2nd Rule of Probability: P(E) = 1 - P(not E)
(sum of bases)(height) / 2
$11 - 025
1st Rule of Probability: Basic Rule is what?
The probability of an event occurring plus the probability of the event not occurring = 1

19. 45-45-90 triangle basic lengths of sides
Find all prime factors
x - x - x(sq. rt 2)
4/3 TT r ^3
Immediately UNFACTOR or vice versa

20. Multiplication principle
A = P(1 + r) ^n
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
principle (interest rate - in decimal form) (time - in years)

21. Combined Events: E and F
The probability of event occurring is...
(sum of bases)(height) / 2
P(E)P(F)
1.7

22. Indistinguishable events how to find the number of permutations

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23. How to check whether a number is a multiple of 4.
1.4
2 steps
y2 - y1 / x2 - x1
Last two digits are multiple of 4 or the number can be divided by 2 twice.

24. 0! = ?
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.
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
D or E

25. Volume of a sphere
The amount after deductions
Sum of digits is multiple of 3
x(sq. rt 3) - x - 2x
4/3 TT r ^3

26. 2n - 2n+2 - 2n+4
n! / (n - r)!
Any multiplication involving an even number creates an even product.
Even
If the outcome of one event affects the outcome of the other event.

27. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
(total distance) / (total time)
Divide 4999 by 15 => 333 integers
Sum of digits is multiple of 3

28. How to check whether a number is a multiple of 3.
Number is a multiple of 3 and 2
Sum of digits is multiple of 3
Odd
(total distance) / (total time)

29. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
D or E
(sum of bases)(height) / 2
principle (interest rate - in decimal form) (time - in years)
If the outcome of one event affects the outcome of the other event.

30. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
principle (interest rate - in decimal form) (time - in years)
1/16
A = P(1 + r) ^n

31. Set Problems formula
1.4
P(E) + P(F) - P(E and F)
(x-n(n)y-n)
22

32. Formula for area of a Trapezoid
(sum of bases)(height) / 2
Figure out the probability for each individual event. Multiply the individual probabilities together.
0.15n + 0.08(5) = 0.1(n+5)
y2 - y1 / x2 - x1

33. Dependent events: When are two events said to be dependent events?
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)
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.
4/3 TT r ^3

34. 1/6 = what %
Immediately try factoring/simplifying when possible
(# of favorable outcomes) / (# of possible outcomes)
16.6%
x - x - x(sq. rt 2)

35. Net
1.7
14 liters
The amount after deductions
Gross Profit = Selling Price - Cost

36. What to do with equations that have fractions
12.5%
Immediately try factoring/simplifying when possible
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

37. 5/6 = what %
x - x - x(sq. rt 2)
83.3%
The probability of an event occurring plus the probability of the event not occurring = 1
1 - P(E)

38. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
(n-1)!
y2 - y1 / x2 - x1
principle (interest rate - in decimal form) (time - in years)

39. 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?
Any multiplication involving an even number creates an even product.
1/16
0.15n + 0.08(5) = 0.1(n+5)
n! / (n - r)!

40. Multiples of 3
A = P(1 + r) ^n
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
3 - 6 - 9 - 12
Purchase price

41. Compound interest formula
Sum of digits is multiple of 9
Principal (1 + interest/number times compounded)^(t)(n)
(amount of change) / (original amount)
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)

42. Properties of 0
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
market value
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
| A union B| = |A| + |B| - |A intersect B|

43. In general - difficult questions require how many steps to solve?
at least 3 steps
Last two digits are multiple of 4 or the number can be divided by 2 twice.
12^3
x - x - x(sq. rt 2)

44. 1/8 = what %
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.
12.5%
If the outcome of one event affects the outcome of the other event.
______ |m-n|

45. Average Rate: Average speed
1st Rule of Probability: Basic Rule is what?
Group 1 + Group 2 + Neither - Both = Total
(total distance) / (total time)
always try to factor

46. Gross
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 total amount before any deductions
14 liters
(amount of change) / (original amount)

47. What does the Sum of the angles in a Regular Polygon formula look like?
n! / (n - r)!
x - x - x(sq. rt 2)
(total A) / (total B)
180(n-2)

48. Percent increase = ?
(amount of change) / (original amount)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Immediately UNFACTOR or vice versa

49. 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.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
12.5%
(total A) / (total B)
Organize into a grid.

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

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GMAT Quantitative General

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