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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. 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
Balancing
The amount after deductions
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
-b +- sq. rt(b^2 - 4ac) / 2a

2. gcd(m,n)
principle (interest rate - in decimal form) (time - in years)
The probability of an event occurring plus the probability of the event not occurring = 1
Organize into a grid.
______ |m-n|

3. 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.
Immediately UNFACTOR or vice versa
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.
Principal (1 + interest/number times compounded)^(t)(n)
1st Rule of Probability: Basic Rule is what?

4. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
Minor arc = 2(inscribed angle)
The probability of event occurring is...
principle (interest rate - in decimal form) (time - in years)

5. 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?
2 steps
4/3 TT r ^3
0.15n + 0.08(5) = 0.1(n+5)
Sum of digits is multiple of 9

6. 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.
-b +- sq. rt(b^2 - 4ac) / 2a
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.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

7. 1/6 = what %
16.6%
-b +- sq. rt(b^2 - 4ac) / 2a
Purchase price
Find simple interest then look for the answer that is a little bigger

8. Combined Events: E or F
0.15n + 0.08(5) = 0.1(n+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.
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) - P(E and F)

9. Set Problems formula
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.
0.15n + 0.08(5) = 0.1(n+5)
(x-n(n)y-n)

10. The number of ways independent events can occur together.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Balancing
Purchase price
12^3

11. 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
Exterior angle d is equal to the sum of the two remote interior angles a and 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.
1
D or E

12. Combined Events: E and F
(x-n(n)y-n)
Even
P(E)P(F)
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

13. Sum of consecutive numbers
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
sum = (average)(number of terms)
180(n-2)
Immediately try factoring/simplifying when possible

14. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
4/3 TT r ^3
Minor arc = 2(inscribed angle)
principle (interest rate - in decimal form) (time - in years)
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. Gross Profit formula
Balancing
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Group 1 + Group 2 + Neither - Both = Total
Gross Profit = Selling Price - Cost

16. Price purchased for by wholesaler
-b +- sq. rt(b^2 - 4ac) / 2a
180(n-2)
Organize into a grid.
Purchase price

17. Intersecting Sets
(# of favorable outcomes) / (# of possible outcomes)
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)
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.
| A union B| = |A| + |B| - |A intersect B|

18. How to check for a prime number.

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19. Sq. rt(2)
1.4
n! / (n - r)!
market value
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

20. 0! = ?
1
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.
The probability of event occurring is...
Sum of digits is multiple of 3 - last two digits multiple of 4.

21. Permutations: Order Matters
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
n! / (n - r)!
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
gcd(m,n)*lcm(m,n) = mn

22. What does the Sum of the angles in a Regular Polygon formula look like?
180(n-2)
0.15n + 0.08(5) = 0.1(n+5)
Immediately try factoring/simplifying when possible
16.6%

23. Volume of a sphere
$11 - 025
Sum of digits is multiple of 3 - last two digits multiple of 4.
4/3 TT r ^3
The probability of event occurring is...

24. Multiples of 3
3 - 6 - 9 - 12
2 steps
1/16
Number is a multiple of 3 and 2

25. In general - difficult questions require how many steps to solve?
principle (interest rate - in decimal form) (time - in years)
at least 3 steps
3-4-5 - 5-12-13 - 9-12-15
D or E

26. Simple probability
s Sq. rt (x^r)
D or E
$11 - 025
(# of favorable outcomes) / (# of possible outcomes)

27. Triangle abc with d on the outside with a line. What does d = ?
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
12.5%
Exterior angle d is equal to the sum of the two remote interior angles a and b
Minor arc = 2(inscribed angle)

28. To determine multiple-event probability where each individual event must occur in a certain way.
always try to factor
-b +- sq. rt(b^2 - 4ac) / 2a
1 - P(E)
Figure out the probability for each individual event. Multiply the individual probabilities together.

29. Three triangle length patterns
Sum of digits is multiple of 3 - last two digits multiple of 4.
s Sq. rt (x^r)
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.
3-4-5 - 5-12-13 - 9-12-15

30. To determine the number of integers less than 5000 that are evenly divisible by 15...?
1.4
Divide 4999 by 15 => 333 integers
(x-n(n)y-n)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

31. Average Rate: Average speed
3 - 6 - 9 - 12
(total distance) / (total time)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
1

32. 2n+1 - 2n+3 - 2n+5
(total A) / (total B)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
4/3 TT r ^3
Odd

33. (1/4)^2
Immediately try factoring/simplifying when possible
Minor arc = 2(inscribed angle)
1/16
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.

34. 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
gcd(m,n)*lcm(m,n) = mn
(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.

35. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
347
12.5%
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
The probability of an event occurring plus the probability of the event not occurring = 1

36. The number of outcomes that result in A divided by the total number of possible outcomes.
1/16
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
If the outcome of one event affects the outcome of the other event.
The probability of event occurring is...

37. Probability and Geometry.
sum = (average)(number of terms)
(# of favorable outcomes) / (# of possible outcomes)
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
always try to factor

38. Average Rate: Average A per B
y2 - y1 / x2 - x1
12.5%
(total A) / (total B)
P(E) + P(F) - P(E and F)

39. Compound interest formula
4/3 TT r ^3
180(n-2)
Principal (1 + interest/number times compounded)^(t)(n)
1/16

40. 3^3 x 4^3 = ?
(n-1)!
12^3
Purchase price
s Sq. rt (x^r)

41. Odd Factors
Odd numbers only have ___________
Immediately UNFACTOR or vice versa
3 - 6 - 9 - 12
1.4

42. How do you multiply roots together.
gcd(m,n)*lcm(m,n) = mn
Immediately UNFACTOR or vice versa
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
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.

43. Formula for area of a Trapezoid
Immediately UNFACTOR or vice versa
market value
83.3%
(sum of bases)(height) / 2

44. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
(n-1)!
x(sq. rt 3) - x - 2x
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.
Minor arc = 2(inscribed angle)

45. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
(amount of change) / (original amount)
1 - P(E)

46. Odd and Even rule.
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.
Any multiplication involving an even number creates an even product.
Even
D or E

47. How to check whether a number is a multiple of 3.
22
12.5%
Sum of digits is multiple of 3
______ |m-n|

48. Sq. rt(3)
1
1 - P(E)
Gross Profit = Selling Price - Cost
1.7

49. gcd(m,n)*lcm(m,n)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1.4
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.

50. Net
22
p/100 = is/of
The amount after deductions
If the outcome of one event affects the outcome of the other event.