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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. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
Even
(n-1)!
at least 3 steps
always try to factor

2. Properties of 0
x - x - x(sq. rt 2)
(n-1)!
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
12^3

3. 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
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.
The total amount before any deductions
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.
P(event NOT occurring) = 1 - P(event occurring)

4. Work problem rule
1 - P(E)
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.
(total A) / (total B)
$11 - 025

5. Multiples of 3
Odd numbers only have ___________
at least 3 steps
3 - 6 - 9 - 12
(n-1)!

6. When you see an equation in factored form in a question?
2 steps
Immediately UNFACTOR or vice versa
Find simple interest then look for the answer that is a little bigger
(sum of bases)(height) / 2

7. Net
The amount after deductions
Number is a multiple of 3 and 2
Purchase price
180(n-2)

8. Combined Events: E or F
2 steps
P(E) + P(F) - P(E and F)
D or E
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

9. 2nd Rule of Probability: P(E) = 1 - P(not E)
347
22
2 steps
The probability of an event occurring plus the probability of the event not occurring = 1

10. Inscribed Angle - Minor Arc
at least 3 steps
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
16.6%
Minor arc = 2(inscribed angle)

11. 30-60-90 triangle basic lengths of sides
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
x(sq. rt 3) - x - 2x
0.15n + 0.08(5) = 0.1(n+5)
4/3 TT r ^3

12. Permutations: Order Matters
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 number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
n! / (n - r)!
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)

13. How to check whether number is multiple of 9
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
y2 - y1 / x2 - x1
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.
Sum of digits is multiple of 9

14. Average Rate: Average speed
Immediately UNFACTOR or vice versa
(x-n(n)y-n)
Number is a multiple of 3 and 2
(total distance) / (total time)

15. What to do with equations that have fractions
Immediately try factoring/simplifying when possible
(x-n(n)y-n)
Divide 4999 by 15 => 333 integers
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.

16. 1/8 = what %
12.5%
347
y2 - y1 / x2 - x1
principle (interest rate - in decimal form) (time - in years)

17. Gross
(n-1)!
16.6%
1
The total amount before any deductions

18. 5/6 = what %
$11 - 025
83.3%
(total distance) / (total time)
at least 3 steps

19. 0! = ?
1.4
The probability of event occurring is...
1
83.3%

20. Combined Events: E and F
2 steps
1 - P(E)
The probability of an event occurring plus the probability of the event not occurring = 1
P(E)P(F)

21. Intersecting Sets
Odd numbers only have ___________
The probability of an event occurring plus the probability of the event not occurring = 1
-b +- sq. rt(b^2 - 4ac) / 2a
| A union B| = |A| + |B| - |A intersect B|

22. Sq. rt(3)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
1.7
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 number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

23. Percent Formula
y2 - y1 / x2 - x1
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/100 = is/of
Sum of digits is multiple of 3

24. How to check whether a number is a multiple of 6
at least 3 steps
Exterior angle d is equal to the sum of the two remote interior angles a and b
1st Rule of Probability: Basic Rule is what?
Number is a multiple of 3 and 2

25. Number added or deleted
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.
Figure out the probability for each individual event. Multiply the individual probabilities together.
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)

26. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
Principal (1 + interest/number times compounded)^(t)(n)
Odd numbers only have ___________
347
12.5%

27. 3^3 x 4^3 = ?
12^3
The probability of event occurring is...
14 liters
Find all prime factors

28. Prime Factorization to find Greatest Common Factor
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(event NOT occurring) = 1 - P(event occurring)
4/3 TT r ^3
P(E)P(F)

29. 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
(amount of change) / (original amount)
Immediately try factoring/simplifying when possible
Balancing
14 liters

30. 1/6 = what %
Any multiplication involving an even number creates an even product.
1.7
Find all prime factors
16.6%

31. 4th rule of Probability
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
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)
22
sum = (average)(number of terms)

32. Volume of a sphere
If the outcome of one event affects the outcome of the other event.
4/3 TT r ^3
Sum of digits is multiple of 9
Sum of digits is multiple of 3

33. Sum of consecutive numbers
sum = (average)(number of terms)
p/100 = is/of
16.6%
s Sq. rt (x^r)

34. How to check whether a number is a multiple of 12.
The total amount before any deductions
Find all prime factors
347
Sum of digits is multiple of 3 - last two digits multiple of 4.

35. Price purchased for by wholesaler
A = P(1 + r) ^n
180(n-2)
Purchase price
Minor arc = 2(inscribed angle)

36. 3rd Rule of Probability: Conditional Probability
-b +- sq. rt(b^2 - 4ac) / 2a
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.
Purchase price
1st Rule of Probability: Basic Rule is what?

37. How to check for a prime number.

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38. Gross Profit formula
16.6%
Gross Profit = Selling Price - Cost
1st Rule of Probability: Basic Rule is what?
14 liters

39. (1/4)^2
1/16
Figure out the probability for each individual event. Multiply the individual probabilities together.
3 - 6 - 9 - 12
Sum of digits is multiple of 3

40. 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.
1.7
14 liters
Find simple interest then look for the answer that is a little bigger

41. Combined Events: Not E = P(not E) = ?
1 - P(E)
A = P(1 + r) ^n
Principal (1 + interest/number times compounded)^(t)(n)
$11 - 025

42. Average Rate: Average A per B
(total A) / (total B)
s Sq. rt (x^r)
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.
12.5%

43. Set Problems formula
The probability of an event occurring plus the probability of the event not occurring = 1
(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.
y2 - y1 / x2 - x1

44. gcd(m,n)
p/100 = is/of
______ |m-n|
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.
Last two digits are multiple of 4 or the number can be divided by 2 twice.

45. Always try to factor
always try to factor
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.
Exterior angle d is equal to the sum of the two remote interior angles a and b
(# of favorable outcomes) / (# of possible outcomes)

46. Simple probability
(# of favorable outcomes) / (# of possible outcomes)
14 liters
Sum of digits is multiple of 3 - last two digits multiple of 4.
Immediately UNFACTOR or vice versa

47. 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.
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)
at least 3 steps

48. 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
Group 1 + Group 2 + Neither - Both = Total
x(sq. rt 3) - x - 2x
Even

49. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
1st Rule of Probability: Basic Rule is what?
(n-1)!

50. How to check whether a number is a multiple of 4.
p/100 = is/of
A = P(1 + r) ^n
If the outcome of one event affects the outcome of the other event.
Last two digits are multiple of 4 or the number can be divided by 2 twice.