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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. What to do with equations that have fractions
1 - P(E)
22
Immediately try factoring/simplifying when possible
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

2. 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
Odd numbers only have ___________
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.
Immediately try factoring/simplifying when possible
P(E) + P(F) - P(E and F)

3. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
Organize into a grid.
Sum of digits is multiple of 9
The amount after deductions

4. Triangle abc with d on the outside with a line. What does d = ?
s Sq. rt (x^r)
Exterior angle d is equal to the sum of the two remote interior angles a and b
22
| A union B| = |A| + |B| - |A intersect B|

5. Percent Formula
12^3
p/100 = is/of
(x-n(n)y-n)
4/3 TT r ^3

6. How to check whether number is multiple of 9
Sum of digits is multiple of 9
3 - 6 - 9 - 12
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
______ |m-n|

7. Combined Events: Not E = P(not E) = ?
| A union B| = |A| + |B| - |A intersect B|
347
12.5%
1 - P(E)

8. Combined Events: E or F
(x-n(n)y-n)
s Sq. rt (x^r)
always try to factor
P(E) + P(F) - P(E and F)

9. 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
3-4-5 - 5-12-13 - 9-12-15
83.3%
Sum of digits is multiple of 9

10. Simple probability
(# of favorable outcomes) / (# of possible 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.
14 liters
Immediately UNFACTOR or vice versa

11. Prime Factorization to find Greatest Common Factor
Organize into a grid.
3-4-5 - 5-12-13 - 9-12-15
x(sq. rt 3) - x - 2x
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

12. What does the Sum of the angles in a Regular Polygon formula look like?
12^3
180(n-2)
| A union B| = |A| + |B| - |A intersect B|
(total distance) / (total time)

13. Multiples of 3
3 - 6 - 9 - 12
The probability of an event occurring plus the probability of the event not occurring = 1
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
______ |m-n|

14. 3rd Rule of Probability: Conditional Probability
Any multiplication involving an even number creates an even product.
12.5%
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.
The probability of event occurring is...

15. The average of consecutive numbers
Minor arc = 2(inscribed angle)
D or E
22
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

16. In general - difficult questions require how many steps to solve?
Exterior angle d is equal to the sum of the two remote interior angles a and b
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.
Immediately UNFACTOR or vice versa
at least 3 steps

17. Price sold for by retailer (after markup)
The total amount before any deductions
$11 - 025
| A union B| = |A| + |B| - |A intersect B|
market value

18. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
Exterior angle d is equal to the sum of the two remote interior angles a and b
12^3
22
Any multiplication involving an even number creates an even product.

19. In general - medium questions require how many steps to solve?
2 steps
Number is a multiple of 3 and 2
(total A) / (total B)
P(E) + P(F) - P(E and F)

20. 1/8 = 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
Group 1 + Group 2 + Neither - Both = Total
Sum of digits is multiple of 3
12.5%

21. Combined Events: E and F
Any multiplication involving an even number creates an even product.
P(E)P(F)
16.6%
sum = (average)(number of terms)

22. How to check for a prime number.

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23. Net
12^3
Purchase price
The amount after deductions
(x-n(n)y-n)

24. Indistinguishable events how to find the number of permutations

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25. How to check whether a number is a multiple of 3.
Sum of digits is multiple of 3
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
P(E)P(F)
Find all prime factors

26. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
If the outcome of one event affects the outcome of the other event.
Gross Profit = Selling Price - Cost
x(sq. rt 3) - x - 2x

27. When you see an equation in factored form in a question?
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Immediately UNFACTOR or vice versa
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.
p/100 = is/of

28. Price purchased for by wholesaler
1/16
Purchase price
Odd
1st Rule of Probability: Basic Rule is what?

29. Compound interest rule
Sum of digits is multiple of 9
x - x - x(sq. rt 2)
Find simple interest then look for the answer that is a little bigger
Sum of digits is multiple of 3

30. How to find all divisors of a number
3 - 6 - 9 - 12
______ |m-n|
Find all prime factors
principle (interest rate - in decimal form) (time - in years)

31. Set Problems formula
Even
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
(x-n(n)y-n)
22

32. Sq. rt(2)
P(E) + P(F) - P(E and F)
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
market value

33. Percent increase = ?
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
1/16
sum = (average)(number of terms)
(amount of change) / (original amount)

34. Volume of a sphere
4/3 TT r ^3
Divide 4999 by 15 => 333 integers
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)
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.

35. 1/6 = what %
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 simple interest then look for the answer that is a little bigger
16.6%

36. 2nd Rule of Probability: P(E) = 1 - P(not E)
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
P(event NOT occurring) = 1 - P(event occurring)
The probability of an event occurring plus the probability of the event not occurring = 1
3 - 6 - 9 - 12

37. Odd Factors
y2 - y1 / x2 - x1
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.
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

38. Always try to factor
Figure out the probability for each individual event. Multiply the individual probabilities together.
always try to factor
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)
Even

39. Compound interest formula
Principal (1 + interest/number times compounded)^(t)(n)
(x-n(n)y-n)
x - x - x(sq. rt 2)
(total distance) / (total time)

40. Three triangle length patterns
(# of favorable outcomes) / (# of possible outcomes)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
3-4-5 - 5-12-13 - 9-12-15
A = P(1 + r) ^n

41. 3^3 x 4^3 = ?
P(E)P(F)
12^3
1st Rule of Probability: Basic Rule is what?
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

42. Permutations: Order Matters
n! / (n - r)!
______ |m-n|
-b +- sq. rt(b^2 - 4ac) / 2a
Figure out the probability for each individual event. Multiply the individual probabilities together.

43. Formula for area of a Trapezoid
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.
n! / (n - r)!
180(n-2)
(sum of bases)(height) / 2

44. How to check whether a number is a multiple of 6
______ |m-n|
Number is a multiple of 3 and 2
Any multiplication involving an even number creates an even product.
2 steps

45. How do you multiply roots together.
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.
x - x - x(sq. rt 2)
16.6%
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

46. Probability and Geometry.
Sum of digits is multiple of 3 - last two digits multiple of 4.
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
2 steps
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

47. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
gcd(m,n)*lcm(m,n) = mn
Minor arc = 2(inscribed angle)
0.15n + 0.08(5) = 0.1(n+5)
principle (interest rate - in decimal form) (time - in years)

48. 4th rule of Probability
| A union B| = |A| + |B| - |A intersect B|
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)
$11 - 025
14 liters

49. Gross
If the outcome of one event affects the outcome of the other event.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
The total amount before any deductions
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

50. Work problem rule
(n-1)!
Number is a multiple of 3 and 2
83.3%
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.