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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. Price purchased for by wholesaler
market value
Purchase price
sum = (average)(number of terms)
p/100 = is/of

2. 2n - 2n+2 - 2n+4
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Even
Sum of digits is multiple of 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.

3. Simple probability
-b +- sq. rt(b^2 - 4ac) / 2a
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.
12^3
(# of favorable outcomes) / (# of possible outcomes)

4. In general - difficult questions require how many steps to solve?
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 probability of an event occurring plus the probability of the event not occurring = 1
A = P(1 + r) ^n
at least 3 steps

5. Gross Profit formula
Gross Profit = Selling Price - Cost
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
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.
| A union B| = |A| + |B| - |A intersect B|

6. (1/4)^2
1/16
12^3
3-4-5 - 5-12-13 - 9-12-15
(x-n(n)y-n)

7. Set Problems formula
3-4-5 - 5-12-13 - 9-12-15
The total amount before any deductions
(x-n(n)y-n)
1/16

8. 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.
83.3%
Balancing
Even
Organize into a grid.

9. Prime Factorization to find Greatest Common Factor
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.
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
The probability of event occurring is...

10. Sum of consecutive numbers
2 steps
sum = (average)(number of terms)
A = P(1 + r) ^n
(total A) / (total B)

11. 3rd Rule of Probability: Conditional Probability
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.
Exterior angle d is equal to the sum of the two remote interior angles a and b
x(sq. rt 3) - x - 2x
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.

12. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
Odd
gcd(m,n)*lcm(m,n) = mn
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

13. Combined Events: Not E = P(not E) = ?
Group 1 + Group 2 + Neither - Both = Total
1 - P(E)
x(sq. rt 3) - x - 2x
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

14. 30-60-90 triangle basic lengths of sides
A = P(1 + r) ^n
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
x(sq. rt 3) - x - 2x
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

15. What to do with equations that have fractions
Immediately try factoring/simplifying when possible
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 event A AND event B occurring is the probability of event A times the probability of event B - given that A has already occurred.
market value

16. The number of ways independent events can occur together.
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.
(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.
Gross Profit = Selling Price - Cost

17. 2nd Rule of Probability: P(E) = 1 - P(not E)
(total A) / (total B)
y2 - y1 / x2 - x1
The probability of an event occurring plus the probability of the event not occurring = 1
Last two digits are multiple of 4 or the number can be divided by 2 twice.

18. 1/6 = what %
principle (interest rate - in decimal form) (time - in years)
16.6%
1 - P(E)
12.5%

19. Multiples of 3
3 - 6 - 9 - 12
12.5%
Gross Profit = Selling Price - Cost
Immediately try factoring/simplifying when possible

20. 1/8 = what %
x - x - x(sq. rt 2)
12.5%
D or E
(x-n(n)y-n)

21. How to find the slope.
1 - P(E)
The amount after deductions
y2 - y1 / x2 - x1
347

22. Formula for Mixed Group problems (involving Both/Neither)
Group 1 + Group 2 + Neither - Both = Total
Balancing
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
at least 3 steps

23. How to check whether a number is a multiple of 12.
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.
Sum of digits is multiple of 3 - last two digits multiple of 4.
$11 - 025
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

24. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
Immediately try factoring/simplifying when possible
x(sq. rt 3) - x - 2x
Principal (1 + interest/number times compounded)^(t)(n)
A = P(1 + r) ^n

25. 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?
1.4
4/3 TT r ^3
0.15n + 0.08(5) = 0.1(n+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

26. What does the Sum of the angles in a Regular Polygon formula look like?
22
180(n-2)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
347

27. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
Sum of digits is multiple of 3 - last two digits multiple of 4.
market value
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Immediately UNFACTOR or vice versa

28. Volume of a sphere
Balancing
4/3 TT r ^3
at least 3 steps
| A union B| = |A| + |B| - |A intersect B|

29. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
Find all prime factors
Even
347
If the outcome of one event affects the outcome of the other event.

30. 5/6 = what %
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
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.
Any multiplication involving an even number creates an even product.
83.3%

31. 45-45-90 triangle basic lengths of sides
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
x - x - x(sq. rt 2)
347

32. How to check whether a number is a multiple of 3.
Odd numbers only have ___________
Even
180(n-2)
Sum of digits is multiple of 3

33. 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.
If the outcome of one event affects the outcome of the other event.
14 liters
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

34. Indistinguishable events how to find the number of permutations

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35. The number of outcomes that result in A divided by the total number of possible outcomes.
(total distance) / (total time)
Organize into a grid.
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
The probability of event occurring is...

36. Always try to factor
1 - P(E)
always try to factor
1.4
The total amount before any deductions

37. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
$11 - 025
market value
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

38. Compound interest formula
Find all prime factors
Exterior angle d is equal to the sum of the two remote interior angles a and b
Principal (1 + interest/number times compounded)^(t)(n)
Sum of digits is multiple of 3

39. Average Rate: Average A per B
If the outcome of one event affects the outcome of the other event.
(total A) / (total B)
Find all prime factors
Sum of digits is multiple of 9

40. x^r/s = ?
Exterior angle d is equal to the sum of the two remote interior angles a and b
Group 1 + Group 2 + Neither - Both = Total
s Sq. rt (x^r)
Principal (1 + interest/number times compounded)^(t)(n)

41. Work problem rule
14 liters
| A union B| = |A| + |B| - |A intersect B|
p/100 = is/of
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.

42. 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?
Any multiplication involving an even number creates an even product.
Find simple interest then look for the answer that is a little bigger
14 liters
Balancing

43. 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
1st Rule of Probability: Basic Rule is what?
Balancing

44. Formula for area of a Trapezoid
$11 - 025
(sum of bases)(height) / 2
P(E) + P(F) - P(E and F)
The total amount before any deductions

45. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
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.
22
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Immediately try factoring/simplifying when possible

46. When you see an equation in factored form in a question?
Minor arc = 2(inscribed angle)
Immediately UNFACTOR or vice versa
always try to factor
0.15n + 0.08(5) = 0.1(n+5)

47. Odd and Even rule.
sum = (average)(number of terms)
Any multiplication involving an even number creates an even product.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1.4

48. 4th rule of Probability
P(E)P(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)
Immediately UNFACTOR or vice versa
3 - 6 - 9 - 12

49. Average Rate: Average speed
(total distance) / (total time)
Odd numbers only have ___________
Balancing
Sum of digits is multiple of 3 - last two digits multiple of 4.

50. 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
(total distance) / (total time)
Exterior angle d is equal to the sum of the two remote interior angles a and b
1.4

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GMAT Quantitative General

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