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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. Triangle abc with d on the outside with a line. What does d = ?
(sum of bases)(height) / 2
$11 - 025
Exterior angle d is equal to the sum of the two remote interior angles a and b
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

2. x^r/s = ?
Any multiplication involving an even number creates an even product.
Find all prime factors
3-4-5 - 5-12-13 - 9-12-15
s Sq. rt (x^r)

3. How to check for a prime number.

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4. Combined Events: E or F
P(E) + P(F) - P(E and F)
12^3
Immediately try factoring/simplifying when possible
2 steps

5. The number of outcomes that result in A divided by the total number of possible outcomes.
The probability of event occurring is...
Gross Profit = Selling Price - Cost
n! / (n - r)!
1

6. How to check whether a number is a multiple of 4.
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.
Even
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Principal (1 + interest/number times compounded)^(t)(n)

7. Formula for Mixed Group problems (involving Both/Neither)
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.
16.6%
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Group 1 + Group 2 + Neither - Both = Total

8. Formula for area of a Trapezoid
14 liters
(# of favorable outcomes) / (# of possible outcomes)
Odd numbers only have ___________
(sum of bases)(height) / 2

9. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
Purchase price
1 - P(E)
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.

10. Gross
P(E) + P(F) - P(E and F)
Even
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
The total amount before any deductions

11. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
(x-n(n)y-n)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Number is a multiple of 3 and 2
Gross Profit = Selling Price - Cost

12. 3^3 x 4^3 = ?
12^3
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
(x-n(n)y-n)
1/16

13. In general - difficult questions require how many steps to solve?
22
Divide 4999 by 15 => 333 integers
at least 3 steps
P(E)P(F)

14. Simple probability
(# of favorable outcomes) / (# of possible outcomes)
market value
Odd numbers only have ___________
always try to factor

15. 5/6 = what %
Organize into a grid.
83.3%
Balancing
(sum of bases)(height) / 2

16. Permutations: Order Matters
______ |m-n|
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
gcd(m,n)*lcm(m,n) = mn
n! / (n - r)!

17. 0! = ?
1
1st Rule of Probability: Basic Rule is what?
Exterior angle d is equal to the sum of the two remote interior angles a and b
x(sq. rt 3) - x - 2x

18. What does the Sum of the angles in a Regular Polygon formula look like?
Principal (1 + interest/number times compounded)^(t)(n)
180(n-2)
3 - 6 - 9 - 12
1

19. Price purchased for by wholesaler
y2 - y1 / x2 - x1
22
Even
Purchase price

20. Percent increase = ?
(amount of change) / (original amount)
12^3
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Figure out the probability for each individual event. Multiply the individual probabilities together.

21. Number added or deleted
1 - P(E)
P(E) + P(F) - P(E and F)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Number is a multiple of 3 and 2

22. How to find the slope.
Immediately try factoring/simplifying when possible
Even
gcd(m,n)*lcm(m,n) = mn
y2 - y1 / x2 - x1

23. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
Purchase price
sum = (average)(number of terms)
A = P(1 + r) ^n
22

24. 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.
Exterior angle d is equal to the sum of the two remote interior angles a and b
347
16.6%
Organize into a grid.

25. Price sold for by retailer (after markup)
(sum of bases)(height) / 2
market value
sum = (average)(number of terms)
Principal (1 + interest/number times compounded)^(t)(n)

26. Volume of a sphere
x - x - x(sq. rt 2)
P(E)P(F)
Sum of digits is multiple of 3
4/3 TT r ^3

27. Compound interest formula
Principal (1 + interest/number times compounded)^(t)(n)
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 the outcome of one event affects the outcome of the other event.
1 - P(E)

28. Inscribed Angle - Minor Arc
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
$11 - 025
347
Minor arc = 2(inscribed angle)

29. Set Problems formula
(x-n(n)y-n)
180(n-2)
1st Rule of Probability: Basic Rule is what?
$11 - 025

30. gcd(m,n)*lcm(m,n)
Any multiplication involving an even number creates an even product.
gcd(m,n)*lcm(m,n) = mn
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
principle (interest rate - in decimal form) (time - in years)

31. 30-60-90 triangle basic lengths of sides
x(sq. rt 3) - x - 2x
Last two digits are multiple of 4 or the number can be divided by 2 twice.
14 liters
s Sq. rt (x^r)

32. Prime Factorization to find Greatest Common Factor
D or E
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
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Number is a multiple of 3 and 2

33. Odd and Even rule.
Any multiplication involving an even number creates an even product.
D or E
-b +- sq. rt(b^2 - 4ac) / 2a
market value

34. Compound interest rule
1.7
Find simple interest then look for the answer that is a little bigger
12^3
3 - 6 - 9 - 12

35. The average of consecutive numbers
P(E)P(F)
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
The probability of an event occurring plus the probability of the event not occurring = 1

36. Dependent events: When are two events said to be dependent events?
If the outcome of one event affects the outcome of the other event.
12.5%
1.4
180(n-2)

37. 2nd Rule of Probability: P(E) = 1 - P(not E)
3 - 6 - 9 - 12
p/100 = is/of
(total distance) / (total time)
The probability of an event occurring plus the probability of the event not occurring = 1

38. When you see an equation in factored form in a question?
Immediately UNFACTOR or vice versa
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
Odd
s Sq. rt (x^r)

39. 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
Find all prime factors
Organize into a grid.
p/100 = is/of

40. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
16.6%
347
P(event NOT occurring) = 1 - P(event occurring)
Immediately UNFACTOR or vice versa

41. What to do with equations that have fractions
Divide 4999 by 15 => 333 integers
Immediately try factoring/simplifying when possible
gcd(m,n)*lcm(m,n) = mn
347

42. Average Rate: Average speed
(total distance) / (total time)
1
The probability of an event occurring plus the probability of the event not occurring = 1
Group 1 + Group 2 + Neither - Both = Total

43. How to find all divisors of a number
1 - P(E)
at least 3 steps
Find simple interest then look for the answer that is a little bigger
Find all prime factors

44. 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
The amount after deductions
Balancing
(total distance) / (total time)
1/16

45. The number of ways independent events can occur together.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
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.
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.

46. 2n - 2n+2 - 2n+4
14 liters
x - x - x(sq. rt 2)
-b +- sq. rt(b^2 - 4ac) / 2a
Even

47. Gross Profit formula
principle (interest rate - in decimal form) (time - in years)
Gross Profit = Selling Price - Cost
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 try factoring/simplifying when possible

48. 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?
0.15n + 0.08(5) = 0.1(n+5)
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
P(E) + P(F) - P(E and F)

49. Net
Minor arc = 2(inscribed angle)
The amount after deductions
If the outcome of one event affects the outcome of the other event.
3 - 6 - 9 - 12

50. Average Rate: Average A per B
4/3 TT r ^3
(total A) / (total 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
Exterior angle d is equal to the sum of the two remote interior angles a and b