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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. Sum of consecutive numbers
(sum of bases)(height) / 2
1
sum = (average)(number of terms)
1st Rule of Probability: Basic Rule is what?

2. 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/100 = is/of
1 - P(E)
-b +- sq. rt(b^2 - 4ac) / 2a

3. Triangle abc with d on the outside with a line. What does d = ?
The probability of an event occurring plus the probability of the event not occurring = 1
| 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
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

4. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
at least 3 steps
A = P(1 + r) ^n
______ |m-n|
sum = (average)(number of terms)

5. Volume of a sphere
Odd
(sum of bases)(height) / 2
4/3 TT r ^3
12.5%

6. 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.
Group 1 + Group 2 + Neither - Both = Total
Organize into a grid.
Odd
Exterior angle d is equal to the sum of the two remote interior angles a and b

7. 30-60-90 triangle basic lengths of sides
(amount of change) / (original amount)
at least 3 steps
x(sq. rt 3) - x - 2x
1st Rule of Probability: Basic Rule is what?

8. How to check for a prime number.

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9. How to check whether number is multiple of 9
14 liters
P(E) + P(F) - P(E and F)
Sum of digits is multiple of 9
Sum of digits is multiple of 3

10. 1/6 = what %
Immediately UNFACTOR or vice versa
16.6%
22
1st Rule of Probability: Basic Rule is what?

11. Set Problems formula
P(event NOT occurring) = 1 - P(event occurring)
A = P(1 + r) ^n
Balancing
(x-n(n)y-n)

12. Simple probability
0.15n + 0.08(5) = 0.1(n+5)
Principal (1 + interest/number times compounded)^(t)(n)
(# of favorable outcomes) / (# of possible outcomes)
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.

13. 0! = ?
______ |m-n|
(# of favorable outcomes) / (# of possible outcomes)
1
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

14. Inscribed Angle - Minor Arc
Organize into a grid.
Even
P(event NOT occurring) = 1 - P(event occurring)
Minor arc = 2(inscribed angle)

15. How to find the slope.
Sum of digits is multiple of 9
P(E) + P(F) - P(E and F)
y2 - y1 / x2 - x1
-b +- sq. rt(b^2 - 4ac) / 2a

16. 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
Gross Profit = Selling Price - Cost
Exterior angle d is equal to the sum of the two remote interior angles a and b
0.15n + 0.08(5) = 0.1(n+5)
Balancing

17. x^r/s = ?
Find simple interest then look for the answer that is a little bigger
1st Rule of Probability: Basic Rule is what?
s Sq. rt (x^r)
0.15n + 0.08(5) = 0.1(n+5)

18. Number added or deleted
Purchase price
(x-n(n)y-n)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
(# of favorable outcomes) / (# of possible outcomes)

19. Gross
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Organize into a grid.
D or E
The total amount before any deductions

20. The average of consecutive numbers
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Principal (1 + interest/number times compounded)^(t)(n)
1.7
(x-n(n)y-n)

21. 1/8 = what %
Sum of digits is multiple of 3 - last two digits multiple of 4.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
12.5%
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

22. Price sold for by retailer (after markup)
P(E)P(F)
always try to factor
market value
Principal (1 + interest/number times compounded)^(t)(n)

23. How many liters of a solution that is 10% alcohol by volume must be added to 2 liters of a solution that is 50% alcohol by volume to create a solution that is 15% alcohol by volume?
14 liters
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Minor arc = 2(inscribed angle)

24. Multiples of 3
3 - 6 - 9 - 12
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.
P(E)P(F)
16.6%

25. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
347
Sum of digits is multiple of 9
principle (interest rate - in decimal form) (time - in years)

26. Quadratic formula
A = P(1 + r) ^n
Find simple interest then look for the answer that is a little bigger
x(sq. rt 3) - x - 2x
-b +- sq. rt(b^2 - 4ac) / 2a

27. In general - medium questions require how many steps to solve?
2 steps
Principal (1 + interest/number times compounded)^(t)(n)
x - x - x(sq. rt 2)
83.3%

28. Sq. rt(3)
(# of favorable outcomes) / (# of possible outcomes)
1.7
x(sq. rt 3) - x - 2x
(total A) / (total B)

29. Percent Formula
p/100 = is/of
P(event NOT occurring) = 1 - P(event occurring)
Odd
at least 3 steps

30. gcd(m,n)
______ |m-n|
principle (interest rate - in decimal form) (time - in years)
1.4
| A union B| = |A| + |B| - |A intersect B|

31. Dependent events: When are two events said to be dependent events?
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.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
If the outcome of one event affects the outcome of the other event.
1.7

32. 2n+1 - 2n+3 - 2n+5
Odd
D or E
If the outcome of one event affects the outcome of the other event.
(# of favorable outcomes) / (# of possible outcomes)

33. gcd(m,n)*lcm(m,n)
gcd(m,n)*lcm(m,n) = mn
P(event NOT occurring) = 1 - P(event occurring)
12.5%
Number is a multiple of 3 and 2

34. Odd Factors
Gross Profit = Selling Price - Cost
Odd numbers only have ___________
1.4
always try to factor

35. Percent increase = ?
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
(amount of change) / (original amount)
(x-n(n)y-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

36. What to do with equations that have fractions
16.6%
Immediately try factoring/simplifying when possible
Sum of digits is multiple of 3
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.

37. Formula for area of a Trapezoid
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.
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
(sum of bases)(height) / 2
The probability of event occurring is...

38. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
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. 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.
(n-1)!

39. (1/4)^2
Purchase price
sum = (average)(number of terms)
22
1/16

40. Sq. rt(2)
1.4
3 - 6 - 9 - 12
14 liters
market value

41. Intersecting Sets
| A union B| = |A| + |B| - |A intersect B|
______ |m-n|
(sum of bases)(height) / 2
$11 - 025

42. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
$11 - 025
The total amount before any deductions
The probability of event occurring is...
______ |m-n|

43. 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?
If the outcome of one event affects the outcome of the other event.
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.
0.15n + 0.08(5) = 0.1(n+5)
Last two digits are multiple of 4 or the number can be divided by 2 twice.

44. How do you multiply roots together.
3 - 6 - 9 - 12
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1 - P(E)
gcd(m,n)*lcm(m,n) = mn

45. Always try to factor
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
n! / (n - r)!
always try to factor
______ |m-n|

46. 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.
Gross Profit = Selling Price - Cost
P(event NOT occurring) = 1 - P(event occurring)
(total distance) / (total time)
1st Rule of Probability: Basic Rule is what?

47. Price purchased for by wholesaler
Purchase price
P(E) + P(F) - P(E and F)
The total amount before any deductions
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

48. Permutations: Order Matters
always try to factor
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Balancing
n! / (n - r)!

49. Average Rate: Average A per B
(total A) / (total B)
P(event NOT occurring) = 1 - P(event occurring)
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.
Sum of digits is multiple of 3 - last two digits multiple of 4.

50. Gross Profit formula
Gross Profit = Selling Price - Cost
P(E)P(F)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
P(event NOT occurring) = 1 - P(event occurring)

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GMAT Quantitative General

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