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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. Net
The amount after deductions
(n-1)!
1st Rule of Probability: Basic Rule is what?
83.3%

2. 30-60-90 triangle basic lengths of sides
A = P(1 + r) ^n
principle (interest rate - in decimal form) (time - in years)
12^3
x(sq. rt 3) - x - 2x

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.
market value
Sum of digits is multiple of 3
0.15n + 0.08(5) = 0.1(n+5)
1st Rule of Probability: Basic Rule is what?

4. Properties of 0
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
at least 3 steps
p/100 = is/of
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

5. Average Rate: Average A per B
Sum of digits is multiple of 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.
1/16
(total A) / (total B)

6. 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.
n! / (n - r)!
Even
x(sq. rt 3) - x - 2x

7. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
x - x - x(sq. rt 2)
The probability of an event occurring plus the probability of the event not occurring = 1
(total A) / (total B)
347

8. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
The probability of event occurring is...
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.
A = P(1 + r) ^n

9. How to find the slope.
y2 - y1 / x2 - x1
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 number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
x - x - x(sq. rt 2)

10. 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?
0.15n + 0.08(5) = 0.1(n+5)
1.4
1.7
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

11. How do you multiply roots together.
Find all prime factors
Gross Profit = Selling Price - Cost
83.3%
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

12. The number of outcomes that result in A divided by the total number of possible outcomes.
x - x - x(sq. rt 2)
The total amount before any deductions
1
The probability of event occurring is...

13. Probability and Geometry.
3-4-5 - 5-12-13 - 9-12-15
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
s Sq. rt (x^r)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

14. Some GMAT word problems involve groups with distinct 'either/or' categories (male/female - blue collar/white collar - etc.) The key is to do what with the information? 1. Find total number of possible outcomes. 2. Find the number of desired outcomes.
$11 - 025
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Organize into a grid.
always try to factor

15. Price purchased for by wholesaler
P(E)P(F)
Purchase price
(n-1)!
The probability of event occurring is...

16. 3rd Rule of Probability: Conditional Probability
(amount of change) / (original amount)
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.
(x-n(n)y-n)
0.15n + 0.08(5) = 0.1(n+5)

17. 2n+1 - 2n+3 - 2n+5
3 - 6 - 9 - 12
Odd
(total A) / (total B)
(amount of change) / (original amount)

18. Gross Profit formula
1.7
at least 3 steps
0.15n + 0.08(5) = 0.1(n+5)
Gross Profit = Selling Price - Cost

19. x^r/s = ?
| A union B| = |A| + |B| - |A intersect B|
market value
y2 - y1 / x2 - x1
s Sq. rt (x^r)

20. 3^3 x 4^3 = ?
(x-n(n)y-n)
12^3
gcd(m,n)*lcm(m,n) = mn
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

21. When you see an equation in factored form in a question?
12^3
(total distance) / (total time)
Immediately UNFACTOR or vice versa
12.5%

22. Simple probability
P(E) + P(F) - P(E and F)
3-4-5 - 5-12-13 - 9-12-15
(# of favorable outcomes) / (# of possible outcomes)
83.3%

23. 2nd Rule of Probability: P(E) = 1 - P(not E)
347
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 an event occurring plus the probability of the event not occurring = 1
D or E

24. Intersecting Sets
P(E)P(F)
n! / (n - r)!
| A union B| = |A| + |B| - |A intersect B|
Odd numbers only have ___________

25. Indistinguishable events how to find the number of permutations

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26. 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?
0.15n + 0.08(5) = 0.1(n+5)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
14 liters
The probability of an event occurring plus the probability of the event not occurring = 1

27. 0! = ?
Group 1 + Group 2 + Neither - Both = Total
-b +- sq. rt(b^2 - 4ac) / 2a
1
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

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

29. Formula for area of a Trapezoid
s Sq. rt (x^r)
Odd numbers only have ___________
(sum of bases)(height) / 2
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

30. gcd(m,n)
Find all prime factors
14 liters
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)
______ |m-n|

31. Combined Events: Not E = P(not E) = ?
Sum of digits is multiple of 3
1 - P(E)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
x(sq. rt 3) - x - 2x

32. Average Rate: Average speed
(amount of change) / (original amount)
(total distance) / (total time)
sum = (average)(number of terms)
4/3 TT r ^3

33. Combined Events: E or F
y2 - y1 / x2 - x1
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
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.
P(E) + P(F) - P(E and F)

34. Multiples of 3
3 - 6 - 9 - 12
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
y2 - y1 / x2 - x1
If the outcome of one event affects the outcome of the other event.

35. Odd Factors
Find all prime factors
1.4
Odd numbers only have ___________
Odd

36. The number of ways independent events can occur together.
Odd
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 number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
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.

37. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
4/3 TT r ^3
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
$11 - 025
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

38. How to check whether number is multiple of 9
P(E) + P(F) - P(E and F)
market value
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.
Sum of digits is multiple of 9

39. Price sold for by retailer (after markup)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
market value
Principal (1 + interest/number times compounded)^(t)(n)
347

40. 1/6 = what %
16.6%
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)
347
1.7

41. In general - difficult questions require how many steps to solve?
p/100 = is/of
Even
Balancing
at least 3 steps

42. Three triangle length patterns
3-4-5 - 5-12-13 - 9-12-15
The probability of an event occurring plus the probability of the event not occurring = 1
D or E
Odd

43. How to check for a prime number.

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44. 1/8 = what %
(sum of bases)(height) / 2
12.5%
Odd numbers only have ___________
Find all prime factors

45. Prime Factorization to find Greatest Common Factor
market value
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
Minor arc = 2(inscribed angle)
Find simple interest then look for the answer that is a little bigger

46. Multiplication principle
1/16
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
Sum of digits is multiple of 9
1.4

47. How to check whether a number is a multiple of 12.
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.
Sum of digits is multiple of 3 - last two digits multiple of 4.
Immediately UNFACTOR or vice versa
D or E

48. How to check whether a number is a multiple of 4.
Balancing
16.6%
p/100 = is/of
Last two digits are multiple of 4 or the number can be divided by 2 twice.

49. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
A = P(1 + r) ^n
22
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.
x - x - x(sq. rt 2)

50. Permutations: Order Matters
-b +- sq. rt(b^2 - 4ac) / 2a
n! / (n - r)!
P(E) + P(F) - P(E and F)
(n-1)!