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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. Compound interest rule
Find simple interest then look for the answer that is a little bigger
Figure out the probability for each individual event. Multiply the individual probabilities together.
gcd(m,n)*lcm(m,n) = mn
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.

2. Combined Events: E or F
P(E) + P(F) - P(E and F)
n! / (n - r)!
$11 - 025
4/3 TT r ^3

3. Sq. rt(3)
Sum of digits is multiple of 9
1.7
Divide 4999 by 15 => 333 integers
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.

4. Dependent events: When are two events said to be dependent events?
1 - P(E)
1
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
If the outcome of one event affects the outcome of the other event.

5. Triangle abc with d on the outside with a line. What does d = ?
(total distance) / (total time)
(n-1)!
The total amount before any deductions
Exterior angle d is equal to the sum of the two remote interior angles a and b

6. 45-45-90 triangle basic lengths of sides
market value
x - x - x(sq. rt 2)
sum = (average)(number of terms)
347

7. What does the Sum of the angles in a Regular Polygon formula look like?
Purchase price
1 - P(E)
180(n-2)
P(event NOT occurring) = 1 - P(event occurring)

8. When you see an equation in factored form in a question?
347
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
$11 - 025
Immediately UNFACTOR or vice versa

9. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
(n-1)!
Number is a multiple of 3 and 2
(sum of bases)(height) / 2
P(event NOT occurring) = 1 - P(event occurring)

10. 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?
Organize into a grid.
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)
y2 - y1 / x2 - x1
0.15n + 0.08(5) = 0.1(n+5)

11. Three triangle length patterns
gcd(m,n)*lcm(m,n) = mn
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
3-4-5 - 5-12-13 - 9-12-15
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. 3rd Rule of Probability: Conditional Probability
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.
1.4
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.

13. 30-60-90 triangle basic lengths of sides
always try to factor
principle (interest rate - in decimal form) (time - in years)
Group 1 + Group 2 + Neither - Both = Total
x(sq. rt 3) - x - 2x

14. 2n - 2n+2 - 2n+4
Gross Profit = Selling Price - Cost
Even
(sum of bases)(height) / 2
The probability of an event occurring plus the probability of the event not occurring = 1

15. How to check for a prime number.

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16. Always try to factor
always try to factor
1.4
14 liters
2 steps

17. Lowest Common Multiple 60: 2 x 2 x 3 x 5 - 72: 2 x 2 x 2 x 3 x 3 - LCM: 2 x 2 x 2 x 3 x 3 x 5
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.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
gcd(m,n)*lcm(m,n) = mn
16.6%

18. Price sold for by retailer (after markup)
at least 3 steps
2 steps
Even
market value

19. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
The probability of an event occurring plus the probability of the event not occurring = 1
1 - P(E)
The total amount before any deductions
347

20. 2nd Rule of Probability: P(E) = 1 - P(not E)
Odd numbers only have ___________
The amount after deductions
-b +- sq. rt(b^2 - 4ac) / 2a
The probability of an event occurring plus the probability of the event not occurring = 1

21. How to find all divisors of a number
Odd numbers only have ___________
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
Odd
Find all prime factors

22. Compound interest formula
Principal (1 + interest/number times compounded)^(t)(n)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
-b +- sq. rt(b^2 - 4ac) / 2a

23. gcd(m,n)*lcm(m,n)
(total A) / (total B)
gcd(m,n)*lcm(m,n) = mn
Number is a multiple of 3 and 2
Figure out the probability for each individual event. Multiply the individual probabilities together.

24. What to do with equations that have fractions
Immediately try factoring/simplifying when possible
Figure out the probability for each individual event. Multiply the individual probabilities together.
Group 1 + Group 2 + Neither - Both = Total
| A union B| = |A| + |B| - |A intersect B|

25. To determine the number of integers less than 5000 that are evenly divisible by 15...?
x - x - x(sq. rt 2)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Divide 4999 by 15 => 333 integers
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.

26. Volume of a sphere
4/3 TT r ^3
Divide 4999 by 15 => 333 integers
Sum of digits is multiple of 3
P(E) + P(F) - P(E and F)

27. Trial Problems: look at the probability of NOT OCCURRING
always try to factor
Odd
P(event NOT occurring) = 1 - P(event occurring)
Minor arc = 2(inscribed angle)

28. Indistinguishable events how to find the number of permutations

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29. Formula for area of a Trapezoid
| A union B| = |A| + |B| - |A intersect B|
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
(sum of bases)(height) / 2
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

30. x^r/s = ?
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)
Sum of digits is multiple of 9
s Sq. rt (x^r)
______ |m-n|

31. Gross Profit formula
Gross Profit = Selling Price - Cost
2 steps
Exterior angle d is equal to the sum of the two remote interior angles a and b
16.6%

32. Properties of 0
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1/16
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

33. Net
The amount after deductions
83.3%
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 = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

34. Average Rate: Average A per B
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.
D or E
(total A) / (total B)
The amount after deductions

35. Prime Factorization to find Greatest Common Factor
Exterior angle d is equal to the sum of the two remote interior angles a and b
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 distance) / (total time)
p/100 = is/of

36. How to find the slope.
y2 - y1 / x2 - x1
(amount of change) / (original amount)
p/100 = is/of
P(E) + P(F) - P(E and F)

37. To determine multiple-event probability where each individual event must occur in a certain way.
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.
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.
Gross Profit = Selling Price - Cost
Figure out the probability for each individual event. Multiply the individual probabilities together.

38. Percent Formula
p/100 = is/of
Number is a multiple of 3 and 2
Odd numbers only have ___________
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

39. Multiplication principle
x(sq. rt 3) - x - 2x
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(E)P(F)
Exterior angle d is equal to the sum of the two remote interior angles a and b

40. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
Exterior angle d is equal to the sum of the two remote interior angles a and b
Immediately UNFACTOR or vice versa
n! / (n - r)!

41. 3^3 x 4^3 = ?
The total amount before any deductions
12^3
(total A) / (total B)
P(E) + P(F) - P(E and F)

42. The number of outcomes that result in A divided by the total number of possible outcomes.
The probability of event occurring is...
1.7
Sum of digits is multiple of 9
(# of favorable outcomes) / (# of possible outcomes)

43. Percent increase = ?
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
(amount of change) / (original amount)
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.
(# of favorable outcomes) / (# of possible outcomes)

44. Set Problems formula
180(n-2)
Group 1 + Group 2 + Neither - Both = Total
P(E) + P(F) - P(E and F)
(x-n(n)y-n)

45. 1/6 = what %
16.6%
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(E)P(F)
12^3

46. 1/8 = what %
12.5%
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 amount after deductions
The total amount before any deductions

47. Work problem rule
A = P(1 + r) ^n
1
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.
at least 3 steps

48. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
Balancing
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.
22
y2 - y1 / x2 - x1

49. 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.
(sum of bases)(height) / 2
Balancing
The probability of event occurring is...

50. How to check whether a number is a multiple of 4.
P(E)P(F)
1 - P(E)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Immediately UNFACTOR or vice versa