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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. To determine multiple-event probability where each individual event must occur in a certain way.
P(E)P(F)
x(sq. rt 3) - x - 2x
Figure out the probability for each individual event. Multiply the individual probabilities together.
Minor arc = 2(inscribed angle)

2. gcd(m,n)*lcm(m,n)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
gcd(m,n)*lcm(m,n) = mn
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.
1.7

3. Compound interest formula
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Gross Profit = Selling Price - Cost
principle (interest rate - in decimal form) (time - in years)
Principal (1 + interest/number times compounded)^(t)(n)

4. Permutations: Order Matters
Odd numbers only have ___________
n! / (n - r)!
4/3 TT r ^3
Sum of digits is multiple of 3 - last two digits multiple of 4.

5. The average of consecutive numbers
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.
Divide 4999 by 15 => 333 integers
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
1st Rule of Probability: Basic Rule is what?

6. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
(amount of change) / (original amount)
(n-1)!
The probability of event occurring is...
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)

7. Gross
A = P(1 + r) ^n
12^3
The total amount before any deductions
x(sq. rt 3) - x - 2x

8. To determine the number of integers less than 5000 that are evenly divisible by 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.
The amount after deductions
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Divide 4999 by 15 => 333 integers

9. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
principle (interest rate - in decimal form) (time - in years)
Number is a multiple of 3 and 2
If the outcome of one event affects the outcome of the other event.
16.6%

10. Combined Events: E and F
1/16
16.6%
P(E)P(F)
Figure out the probability for each individual event. Multiply the individual probabilities together.

11. How to find all divisors of a number
Odd numbers only have ___________
p/100 = is/of
Find all prime factors
P(E)P(F)

12. What does the Sum of the angles in a Regular Polygon formula look like?
Find all prime factors
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.
180(n-2)
s Sq. rt (x^r)

13. (1/4)^2
sum = (average)(number of terms)
market value
1/16
Group 1 + Group 2 + Neither - Both = Total

14. Work problem rule
Even
180(n-2)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
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.

15. Percent Formula
The probability of event occurring is...
Divide 4999 by 15 => 333 integers
p/100 = is/of
s Sq. rt (x^r)

16. Gross Profit formula
Gross Profit = Selling Price - Cost
Minor arc = 2(inscribed angle)
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.
Immediately UNFACTOR or vice versa

17. 45-45-90 triangle basic lengths of sides
180(n-2)
x - x - x(sq. rt 2)
If the outcome of one event affects the outcome of the other event.
1.7

18. Properties of 0
Find simple interest then look for the answer that is a little bigger
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Immediately try factoring/simplifying when possible
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

19. The number of outcomes that result in A divided by the total number of possible outcomes.
Divide 4999 by 15 => 333 integers
at least 3 steps
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
The probability of event occurring is...

20. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
(x-n(n)y-n)
347
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.
(total A) / (total B)

21. Always try to factor
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
always try to factor
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
12^3

22. Average Rate: Average A per B
0.15n + 0.08(5) = 0.1(n+5)
Odd
(total A) / (total B)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

23. Intersecting Sets
s Sq. rt (x^r)
14 liters
| A union B| = |A| + |B| - |A intersect B|
Group 1 + Group 2 + Neither - Both = Total

24. When you see an equation in factored form in a question?
Immediately UNFACTOR or vice versa
$11 - 025
Find all prime factors
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.

25. 2n+1 - 2n+3 - 2n+5
(n-1)!
Odd numbers only have ___________
Balancing
Odd

26. In general - difficult questions require how many steps to solve?
Principal (1 + interest/number times compounded)^(t)(n)
at least 3 steps
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)
Purchase price

27. How to check whether a number is a multiple of 12.
Divide 4999 by 15 => 333 integers
(total A) / (total B)
Sum of digits is multiple of 3 - last two digits multiple of 4.
-b +- sq. rt(b^2 - 4ac) / 2a

28. 0! = ?
22
Figure out the probability for each individual event. Multiply the individual probabilities together.
1
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

29. Odd and Even rule.
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 probability of an event occurring plus the probability of the event not occurring = 1
(total A) / (total B)
Any multiplication involving an even number creates an even product.

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

31. 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.
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.
p/100 = is/of
Organize into a grid.
(total distance) / (total time)

32. Sq. rt(3)
1.7
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
(total A) / (total B)
Balancing

33. Quadratic formula
Sum of digits is multiple of 3 - last two digits multiple of 4.
always try to factor
The probability of an event occurring plus the probability of the event not occurring = 1
-b +- sq. rt(b^2 - 4ac) / 2a

34. Net
The amount after deductions
(# of favorable outcomes) / (# of possible outcomes)
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.
1st Rule of Probability: Basic Rule is what?

35. Average Rate: Average speed
(total distance) / (total time)
n! / (n - r)!
Group 1 + Group 2 + Neither - Both = Total
Last two digits are multiple of 4 or the number can be divided by 2 twice.

36. Multiples of 3
Organize into a grid.
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.
Figure out the probability for each individual event. Multiply the individual probabilities together.
3 - 6 - 9 - 12

37. 2nd Rule of Probability: P(E) = 1 - P(not E)
Immediately UNFACTOR or vice versa
The probability of an event occurring plus the probability of the event not occurring = 1
n! / (n - r)!
0.15n + 0.08(5) = 0.1(n+5)

38. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
1.4
A = P(1 + r) ^n
(amount of change) / (original amount)
| A union B| = |A| + |B| - |A intersect B|

39. Multiplication principle
Odd numbers only have ___________
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.
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
12.5%

40. Price purchased for by wholesaler
at least 3 steps
market value
Purchase price
| A union B| = |A| + |B| - |A intersect B|

41. Three triangle length patterns
Find simple interest then look for the answer that is a little bigger
Group 1 + Group 2 + Neither - Both = Total
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
3-4-5 - 5-12-13 - 9-12-15

42. Indistinguishable events how to find the number of permutations

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43. How do you multiply roots together.
Principal (1 + interest/number times compounded)^(t)(n)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
(total distance) / (total time)
22

44. Simple probability
always try to factor
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.
(# of favorable outcomes) / (# of possible outcomes)
12^3

45. Formula for Mixed Group problems (involving Both/Neither)
Any multiplication involving an even number creates an even product.
Sum of digits is multiple of 3
Group 1 + Group 2 + Neither - Both = Total
12.5%

46. Trial Problems: look at the probability of NOT OCCURRING
1st Rule of Probability: Basic Rule is what?
22
1.7
P(event NOT occurring) = 1 - P(event occurring)

47. How to find the slope.
y2 - y1 / x2 - x1
Odd numbers only have ___________
sum = (average)(number of terms)
Sum of digits is multiple of 3 - last two digits multiple of 4.

48. Prime Factorization to find Greatest Common Factor
market value
A = P(1 + r) ^n
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
1.4

49. Combined Events: Not E = P(not E) = ?
The probability of event occurring is...
16.6%
347
1 - P(E)

50. Volume of a sphere
s Sq. rt (x^r)
D or E
180(n-2)
4/3 TT r ^3

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GMAT Quantitative General

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