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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. 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.
(x-n(n)y-n)
3 - 6 - 9 - 12
Last two digits are multiple of 4 or the number can be divided by 2 twice.
1st Rule of Probability: Basic Rule is what?

2. Volume of a sphere
4/3 TT r ^3
2 steps
3-4-5 - 5-12-13 - 9-12-15
P(E)P(F)

3. How to check for a prime number.

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4. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
y2 - y1 / x2 - x1
2 steps
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
principle (interest rate - in decimal form) (time - in years)

5. Trial Problems: look at the probability of NOT OCCURRING
(amount of change) / (original amount)
If the outcome of one event affects the outcome of the other event.
P(event NOT occurring) = 1 - P(event occurring)
Gross Profit = Selling Price - Cost

6. Simple probability
(# of favorable outcomes) / (# of possible outcomes)
12.5%
Minor arc = 2(inscribed angle)
Immediately UNFACTOR or vice versa

7. Indistinguishable events how to find the number of permutations

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8. Average Rate: Average A per B
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
market value
| A union B| = |A| + |B| - |A intersect B|
(total A) / (total B)

9. x^r/s = ?
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
1 - P(E)
Odd numbers only have ___________
s Sq. rt (x^r)

10. Gross Profit formula
3-4-5 - 5-12-13 - 9-12-15
Gross Profit = Selling Price - Cost
s Sq. rt (x^r)
P(E) + P(F) - P(E and F)

11. To determine multiple-event probability where each individual event must occur in a certain way.
4/3 TT r ^3
Sum of digits is multiple of 9
Figure out the probability for each individual event. Multiply the individual probabilities together.
$11 - 025

12. 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
12.5%
Immediately UNFACTOR or vice versa
22

13. How to check whether a number is a multiple of 3.
(total A) / (total B)
D or E
Sum of digits is multiple of 3
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

14. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
| A union B| = |A| + |B| - |A intersect B|
D or E
s Sq. rt (x^r)
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.

15. Gross
| A union B| = |A| + |B| - |A intersect B|
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.
A = P(1 + r) ^n

16. Set Problems formula
12.5%
Odd numbers only have ___________
(x-n(n)y-n)
A = P(1 + r) ^n

17. 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.
(n-1)!
Find all prime factors
1.7

18. How to check whether a number is a multiple of 4.
(n-1)!
sum = (average)(number of terms)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
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.

19. Intersecting Sets
| A union B| = |A| + |B| - |A intersect B|
(amount of change) / (original amount)
12.5%
P(E)P(F)

20. How to check whether number is multiple of 9
(total A) / (total B)
D or E
The amount after deductions
Sum of digits is multiple of 9

21. Dependent events: When are two events said to be dependent events?
Gross Profit = Selling Price - Cost
3 - 6 - 9 - 12
y2 - y1 / x2 - x1
If the outcome of one event affects the outcome of the other event.

22. 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.
Organize into a grid.
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.
1st Rule of Probability: Basic Rule is what?
22

23. (1/4)^2
12.5%
0.15n + 0.08(5) = 0.1(n+5)
sum = (average)(number of terms)
1/16

24. 0! = ?
$11 - 025
The probability of an event occurring plus the probability of the event not occurring = 1
1
The total amount before any deductions

25. Inscribed Angle - Minor Arc
14 liters
Odd numbers only have ___________
Minor arc = 2(inscribed angle)
347

26. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
3-4-5 - 5-12-13 - 9-12-15
(n-1)!
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Immediately UNFACTOR or vice versa

27. What does the Sum of the angles in a Regular Polygon formula look like?
347
p/100 = is/of
180(n-2)
Find simple interest then look for the answer that is a little bigger

28. 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
Last two digits are multiple of 4 or the number can be divided by 2 twice.
y2 - y1 / x2 - x1
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.
gcd(m,n)*lcm(m,n) = mn

29. Net
The amount after deductions
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
3 - 6 - 9 - 12
Last two digits are multiple of 4 or the number can be divided by 2 twice.

30. 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. 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
Exterior angle d is equal to the sum of the two remote interior angles a and b
Find simple interest then look for the answer that is a little bigger

31. 1/6 = what %
(x-n(n)y-n)
16.6%
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)

32. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
(sum of bases)(height) / 2
Immediately UNFACTOR or vice versa
The probability of an event occurring plus the probability of the event not occurring = 1

33. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
1.4
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.
347

34. Odd Factors
1 - P(E)
Odd numbers only have ___________
Immediately UNFACTOR or vice versa
Exterior angle d is equal to the sum of the two remote interior angles a and b

35. Multiples of 3
principle (interest rate - in decimal form) (time - in years)
Principal (1 + interest/number times compounded)^(t)(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
3 - 6 - 9 - 12

36. 5/6 = what %
(total A) / (total 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.
at least 3 steps
83.3%

37. Sq. rt(3)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Organize into a grid.
1.7
1st Rule of Probability: Basic Rule is what?

38. To determine the number of integers less than 5000 that are evenly divisible by 15...?
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.
83.3%
Sum of digits is multiple of 9
Divide 4999 by 15 => 333 integers

39. Multiplication principle
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
sum = (average)(number of terms)
D or E

40. 1/8 = what %
at least 3 steps
(sum of bases)(height) / 2
12.5%
Group 1 + Group 2 + Neither - Both = Total

41. In general - medium questions require how many steps to solve?
2 steps
4/3 TT r ^3
3 - 6 - 9 - 12
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.

42. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
(# of favorable outcomes) / (# of possible outcomes)
$11 - 025
Group 1 + Group 2 + Neither - Both = Total
3 - 6 - 9 - 12

43. Price purchased for by wholesaler
12^3
Sum of digits is multiple of 3 - last two digits multiple of 4.
Divide 4999 by 15 => 333 integers
Purchase price

44. 4th rule of Probability
Principal (1 + interest/number times compounded)^(t)(n)
x - x - x(sq. rt 2)
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)
x(sq. rt 3) - x - 2x

45. Work problem rule
1
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.
Organize into a grid.
Last two digits are multiple of 4 or the number can be divided by 2 twice.

46. How to find the slope.
x(sq. rt 3) - x - 2x
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
y2 - y1 / x2 - x1
P(event NOT occurring) = 1 - P(event occurring)

47. Sum 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.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
P(event NOT occurring) = 1 - P(event occurring)
sum = (average)(number of terms)

48. When you see an equation in factored form in a question?
Immediately UNFACTOR or vice versa
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Find all prime factors
Even

49. How to find all divisors of a number
P(E)P(F)
Sum of digits is multiple of 3
Find all prime factors
Gross Profit = Selling Price - Cost

50. Number added or deleted
P(E)P(F)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
83.3%
Sum of digits is multiple of 9