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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. Trial Problems: look at the probability of NOT OCCURRING
Sum of digits is multiple of 3 - last two digits multiple of 4.
1.4
y2 - y1 / x2 - x1
P(event NOT occurring) = 1 - P(event occurring)

2. How do you multiply roots together.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
n! / (n - r)!
Divide 4999 by 15 => 333 integers
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

3. 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.
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
3 - 6 - 9 - 12

4. gcd(m,n)
gcd(m,n)*lcm(m,n) = mn
Divide 4999 by 15 => 333 integers
______ |m-n|
Sum of digits is multiple of 3

5. How to check whether number is multiple of 9
12^3
4/3 TT r ^3
1
Sum of digits is multiple of 9

6. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
The probability of an event occurring plus the probability of the event not occurring = 1
3 - 6 - 9 - 12
market value

7. Price sold for by retailer (after markup)
market value
14 liters
P(E) + P(F) - P(E and F)
Group 1 + Group 2 + Neither - Both = Total

8. 2n - 2n+2 - 2n+4
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
12.5%
Even
83.3%

9. Triangle abc with d on the outside with a line. What does d = ?
(amount of change) / (original amount)
(n-1)!
Exterior angle d is equal to the sum of the two remote interior angles a and b
Odd numbers only have ___________

10. Dependent events: When are two events said to be dependent events?
1/16
gcd(m,n)*lcm(m,n) = mn
1st Rule of Probability: Basic Rule is what?
If the outcome of one event affects the outcome of the other event.

11. Combined Events: E and F
P(E)P(F)
(total distance) / (total time)
The amount after deductions
P(E) + P(F) - P(E and F)

12. The average of consecutive numbers
Number is a multiple of 3 and 2
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
(n-1)!
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

13. Permutations: Order Matters
If the outcome of one event affects the outcome of the other event.
(total distance) / (total time)
n! / (n - r)!
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

14. Combined Events: E or F
P(E) + P(F) - P(E and F)
1 - P(E)
n! / (n - r)!
1st Rule of Probability: Basic Rule is what?

15. To determine multiple-event probability where each individual event must occur in a certain way.
always try to factor
16.6%
(# of favorable outcomes) / (# of possible outcomes)
Figure out the probability for each individual event. Multiply the individual probabilities together.

16. Percent Formula
p/100 = is/of
Find all prime factors
(n-1)!
x - x - x(sq. rt 2)

17. Odd and Even rule.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
1 - P(E)
Even
Any multiplication involving an even number creates an even product.

18. Percent increase = ?
1 - P(E)
(amount of change) / (original amount)
Odd
Organize into a grid.

19. Multiplication principle
347
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 - x - x(sq. rt 2)
180(n-2)

20. 2n+1 - 2n+3 - 2n+5
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.
Even
14 liters
Odd

21. Compound interest formula
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Principal (1 + interest/number times compounded)^(t)(n)
12^3
always try to factor

22. Average Rate: Average speed
P(event NOT occurring) = 1 - P(event occurring)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
(total distance) / (total time)
12^3

23. 30-60-90 triangle basic lengths of sides
Odd
x(sq. rt 3) - x - 2x
Principal (1 + interest/number times compounded)^(t)(n)
Divide 4999 by 15 => 333 integers

24. How to check whether a number is a multiple of 3.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Group 1 + Group 2 + Neither - Both = Total
n! / (n - r)!
Sum of digits is multiple of 3

25. How to find all divisors of a number
The total amount before any deductions
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.
Find all prime factors
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

26. How to check for a prime number.

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27. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
(total A) / (total B)
1 - P(E)
12.5%

28. Sum of consecutive numbers
Exterior angle d is equal to the sum of the two remote interior angles a and b
Immediately UNFACTOR or vice versa
sum = (average)(number of terms)
83.3%

29. 2nd Rule of Probability: P(E) = 1 - P(not E)
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 probability of an event occurring plus the probability of the event not occurring = 1
(total A) / (total B)
The total amount before any deductions

30. Average Rate: Average A per B
(sum of bases)(height) / 2
at least 3 steps
Minor arc = 2(inscribed angle)
(total A) / (total B)

31. Odd Factors
Odd numbers only have ___________
347
sum = (average)(number of terms)
always try to factor

32. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
The amount after deductions
A = P(1 + r) ^n
Balancing
Minor arc = 2(inscribed angle)

33. Inscribed Angle - Minor Arc
always try to factor
3 - 6 - 9 - 12
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
Minor arc = 2(inscribed angle)

34. 1/8 = what %
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1.7
(total distance) / (total time)
12.5%

35. Price purchased for by wholesaler
Organize into a grid.
Purchase price
14 liters
The probability of an event occurring plus the probability of the event not occurring = 1

36. What to do with equations that have fractions
P(E)P(F)
1st Rule of Probability: Basic Rule is what?
347
Immediately try factoring/simplifying when possible

37. Compound interest rule
market value
x(sq. rt 3) - x - 2x
Find simple interest then look for the answer that is a little bigger
Odd

38. x^r/s = ?
Gross Profit = Selling Price - Cost
The probability of an event occurring plus the probability of the event not occurring = 1
$11 - 025
s Sq. rt (x^r)

39. How to check whether a number is a multiple of 6
1
Organize into a grid.
Number is a multiple of 3 and 2
The probability of an event occurring plus the probability of the event not occurring = 1

40. Net
0.15n + 0.08(5) = 0.1(n+5)
The amount after deductions
x - x - x(sq. rt 2)
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.

41. Sq. rt(3)
y2 - y1 / x2 - x1
1.7
3 - 6 - 9 - 12
(n-1)!

42. Gross
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
The total amount before any deductions
1.4
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

43. Properties of 0
1
1.7
P(E)P(F)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

44. Sq. rt(2)
16.6%
market value
Find simple interest then look for the answer that is a little bigger
1.4

45. How to check whether a number is a multiple of 12.
(amount of change) / (original amount)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Sum of digits is multiple of 3 - last two digits multiple of 4.
$11 - 025

46. Combined Events: Not E = P(not E) = ?
Organize into a grid.
1 - P(E)
(x-n(n)y-n)
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. Indistinguishable events how to find the number of permutations

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48. Three triangle length patterns
3-4-5 - 5-12-13 - 9-12-15
(total A) / (total B)
Balancing
(x-n(n)y-n)

49. Formula for area of a Trapezoid
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
347
16.6%
(sum of bases)(height) / 2

50. Volume of a sphere
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1.4
4/3 TT r ^3
Immediately UNFACTOR or vice versa