Test your basic knowledge |

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. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
(n-1)!
x - x - x(sq. rt 2)
Even
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.

2. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
$11 - 025
Figure out the probability for each individual event. Multiply the individual probabilities together.
The probability of an event occurring plus the probability of the event not occurring = 1

3. Intersecting Sets
| A union B| = |A| + |B| - |A intersect B|
Group 1 + Group 2 + Neither - Both = Total
always try to factor
______ |m-n|

4. Combined Events: Not E = P(not E) = ?
1 - P(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
1st Rule of Probability: Basic Rule is what?
Immediately try factoring/simplifying when possible

5. Compound interest formula
1.4
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
1st Rule of Probability: Basic Rule is what?
Principal (1 + interest/number times compounded)^(t)(n)

6. gcd(m,n)*lcm(m,n)
3 - 6 - 9 - 12
(amount of change) / (original amount)
gcd(m,n)*lcm(m,n) = mn
Odd numbers only have ___________

7. Average Rate: Average A per B
(total A) / (total B)
(sum of bases)(height) / 2
The probability of an event occurring plus the probability of the event not occurring = 1
x - x - x(sq. rt 2)

8. What to do with equations that have fractions
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 try factoring/simplifying when possible
0.15n + 0.08(5) = 0.1(n+5)
3-4-5 - 5-12-13 - 9-12-15

9. 45-45-90 triangle basic lengths of sides
1.7
(total A) / (total B)
(# of favorable outcomes) / (# of possible outcomes)
x - x - x(sq. rt 2)

10. Properties of 0
P(event NOT occurring) = 1 - P(event occurring)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
The amount after deductions
1.7

11. Volume of a sphere
x(sq. rt 3) - x - 2x
4/3 TT r ^3
Gross Profit = Selling Price - Cost
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

12. In general - difficult questions require how many steps to solve?
Even
Immediately UNFACTOR or vice versa
at least 3 steps
market value

13. Odd and Even rule.
P(event NOT occurring) = 1 - P(event occurring)
A = P(1 + r) ^n
x - x - x(sq. rt 2)
Any multiplication involving an even number creates an even product.

14. How to check whether a number is a multiple of 12.
Sum of digits is multiple of 3 - last two digits multiple of 4.
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.
Gross Profit = Selling Price - Cost
(x-n(n)y-n)

15. Percent increase = ?
Last two digits are multiple of 4 or the number can be divided by 2 twice.
(amount of change) / (original amount)
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
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

16. Quadratic formula
(n-1)!
always try to factor
-b +- sq. rt(b^2 - 4ac) / 2a
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

17. Set Problems formula
(x-n(n)y-n)
1
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
y2 - y1 / x2 - x1

18. gcd(m,n)
______ |m-n|
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Gross Profit = Selling Price - Cost
x(sq. rt 3) - x - 2x

19. The number of outcomes that result in A divided by the total number of possible outcomes.
The probability of event occurring is...
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
12^3
P(E) + P(F) - P(E and F)

20. Permutations: Order Matters
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Divide 4999 by 15 => 333 integers
s Sq. rt (x^r)
n! / (n - r)!

21. Compound interest rule
gcd(m,n)*lcm(m,n) = mn
16.6%
Balancing
Find simple interest then look for the answer that is a little bigger

22. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
principle (interest rate - in decimal form) (time - in years)
Balancing
(n-1)!
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

23. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
Any multiplication involving an even number creates an even product.
(n-1)!
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
1 - P(E)

24. Trial Problems: look at the probability of NOT OCCURRING
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
3-4-5 - 5-12-13 - 9-12-15
P(event NOT occurring) = 1 - P(event occurring)
14 liters

25. Percent Formula
The amount after deductions
347
Find simple interest then look for the answer that is a little bigger
p/100 = is/of

26. How do you multiply roots together.
Even
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1/16
The probability of event occurring is...

27. 1/8 = what %
P(E) + P(F) - P(E and F)
y2 - y1 / x2 - x1
12.5%
Purchase price

28. How to check whether a number is a multiple of 6
Balancing
2 steps
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

29. Gross Profit formula
Gross Profit = Selling Price - Cost
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.
Sum of digits is multiple of 3
n! / (n - r)!

30. 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.
Organize into a grid.
Minor arc = 2(inscribed angle)
0.15n + 0.08(5) = 0.1(n+5)

31. How to find the slope.
1 - P(E)
3-4-5 - 5-12-13 - 9-12-15
y2 - y1 / x2 - x1
A = P(1 + r) ^n

32. What does the Sum of the angles in a Regular Polygon formula look like?
| A union B| = |A| + |B| - |A intersect B|
(total A) / (total B)
Gross Profit = Selling Price - Cost
180(n-2)

33. To determine multiple-event probability where each individual event must occur in a certain way.
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
Figure out the probability for each individual event. Multiply the individual probabilities together.
______ |m-n|
Divide 4999 by 15 => 333 integers

34. 30-60-90 triangle basic lengths of sides
x - x - x(sq. rt 2)
x(sq. rt 3) - x - 2x
12^3
Immediately UNFACTOR or vice versa

35. How to check whether a number is a multiple of 4.
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.
The amount after deductions
14 liters

36. Average Rate: Average speed
A = P(1 + r) ^n
Even
1/16
(total distance) / (total time)

37. 5/6 = what %
| A union B| = |A| + |B| - |A intersect B|
83.3%
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.
Principal (1 + interest/number times compounded)^(t)(n)

38. Sq. rt(2)
Find simple interest then look for the answer that is a little bigger
If the outcome of one event affects the outcome of the other event.
1.4
Even

39. Combined Events: E and F
(x-n(n)y-n)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
P(E)P(F)
Sum of digits is multiple of 3

40. Three triangle length patterns
(x-n(n)y-n)
3-4-5 - 5-12-13 - 9-12-15
Even
1.7

41. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
| A union B| = |A| + |B| - |A intersect B|
$11 - 025
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
22

42. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
Find all prime factors
22
gcd(m,n)*lcm(m,n) = mn

43. Multiples of 3
Organize into a grid.
3 - 6 - 9 - 12
market value
Number is a multiple of 3 and 2

44. 2n - 2n+2 - 2n+4
Even
P(E) + P(F) - P(E and F)
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.

45. Sq. rt(3)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1.7
Last two digits are multiple of 4 or the number can be divided by 2 twice.
gcd(m,n)*lcm(m,n) = mn

46. Odd Factors
Principal (1 + interest/number times compounded)^(t)(n)
(total A) / (total B)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Odd numbers only have ___________

47. 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
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. 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.
| A union B| = |A| + |B| - |A intersect B|

48. Always try to factor
14 liters
3 - 6 - 9 - 12
always try to factor
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

49. 0! = ?
s Sq. rt (x^r)
(# of favorable outcomes) / (# of possible outcomes)
1.7
1

50. When you see an equation in factored form in a question?
sum = (average)(number of terms)
1st Rule of Probability: Basic Rule is what?
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Immediately UNFACTOR or vice versa