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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. Gross Profit formula
Gross Profit = Selling Price - Cost
3 - 6 - 9 - 12
Divide 4999 by 15 => 333 integers
347

2. To determine multiple-event probability where each individual event must occur in a certain way.
(amount of change) / (original amount)
The probability of an event occurring plus the probability of the event not occurring = 1
Figure out the probability for each individual event. Multiply the individual probabilities together.
The probability of event occurring is...

3. Multiplication principle
market value
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
p/100 = is/of
P(event NOT occurring) = 1 - P(event occurring)

4. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
D or E
Exterior angle d is equal to the sum of the two remote interior angles a and b
(# of favorable outcomes) / (# of possible outcomes)

5. Permutations: Order Matters
P(event NOT occurring) = 1 - P(event occurring)
n! / (n - r)!
12^3
s Sq. rt (x^r)

6. Prime Factorization to find Greatest Common Factor
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
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
180(n-2)
Sum of digits is multiple of 9

7. How to check whether number is multiple of 9
(total distance) / (total time)
Sum of digits is multiple of 9
Minor arc = 2(inscribed angle)
s Sq. rt (x^r)

8. 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)
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.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
D or E

9. 3^3 x 4^3 = ?
P(E) + P(F) - P(E and F)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
sum = (average)(number of terms)
12^3

10. Gross
The total amount before any deductions
at least 3 steps
P(event NOT occurring) = 1 - P(event occurring)
The probability of an event occurring plus the probability of the event not occurring = 1

11. How to find all divisors of a number
always try to factor
s Sq. rt (x^r)
Find all prime factors
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.

12. 4th rule of Probability
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-n(n)y-n)
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

13. Percent Formula
p/100 = is/of
1st Rule of Probability: Basic Rule is what?
sum = (average)(number of terms)
Gross Profit = Selling Price - Cost

14. Set Problems formula
Find simple interest then look for the answer that is a little bigger
(x-n(n)y-n)
The probability of an event occurring plus the probability of the event not occurring = 1
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.

15. Sq. rt(2)
1.4
(n-1)!
22
n! / (n - r)!

16. 2n - 2n+2 - 2n+4
Odd
Even
D or E
Exterior angle d is equal to the sum of the two remote interior angles a and b

17. Simple probability
(# of favorable outcomes) / (# of possible outcomes)
Find simple interest then look for the answer that is a little bigger
1/16
347

18. Properties of 0
sum = (average)(number of terms)
0.15n + 0.08(5) = 0.1(n+5)
Odd numbers only have ___________
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

19. 30-60-90 triangle basic lengths of sides
Odd
Organize into a grid.
x(sq. rt 3) - x - 2x
4/3 TT r ^3

20. 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
Divide 4999 by 15 => 333 integers
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.
1 - P(E)
-b +- sq. rt(b^2 - 4ac) / 2a

21. The average of consecutive numbers
2 steps
(# of favorable outcomes) / (# of possible outcomes)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
-b +- sq. rt(b^2 - 4ac) / 2a

22. Formula for Mixed Group problems (involving Both/Neither)
Group 1 + Group 2 + Neither - Both = Total
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
P(E)P(F)
s Sq. rt (x^r)

23. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
Any multiplication involving an even number creates an even product.
22
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
Principal (1 + interest/number times compounded)^(t)(n)

24. How to check whether a number is a multiple of 3.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Sum of digits is multiple of 3
(total A) / (total B)
gcd(m,n)*lcm(m,n) = mn

25. When you see an equation in factored form in a question?
always try to factor
22
Sum of digits is multiple of 9
Immediately UNFACTOR or vice versa

26. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
1 - P(E)
Balancing
A = P(1 + r) ^n
Sum of digits is multiple of 9

27. gcd(m,n)*lcm(m,n)
(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.
gcd(m,n)*lcm(m,n) = mn
1st Rule of Probability: Basic Rule is what?

28. Compound interest formula
A = P(1 + r) ^n
Minor arc = 2(inscribed angle)
Principal (1 + interest/number times compounded)^(t)(n)
Organize into a grid.

29. 2nd Rule of Probability: P(E) = 1 - P(not E)
2 steps
| A union B| = |A| + |B| - |A intersect B|
The probability of an event occurring plus the probability of the event not occurring = 1
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

30. gcd(m,n)
______ |m-n|
Any multiplication involving an even number creates an even product.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
n! / (n - r)!

31. Work problem rule
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.
Sum of digits is multiple of 9
The amount after deductions
180(n-2)

32. How to check whether a number is a multiple of 12.
Sum of digits is multiple of 3 - last two digits multiple of 4.
Divide 4999 by 15 => 333 integers
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

33. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
$11 - 025
Gross Profit = Selling Price - Cost
Sum of digits is multiple of 3
If the outcome of one event affects the outcome of the other event.

34. 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
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
0.15n + 0.08(5) = 0.1(n+5)
1.7

35. The number of outcomes that result in A divided by the total number of possible outcomes.
at least 3 steps
Find all prime factors
12^3
The probability of event occurring is...

36. (1/4)^2
Balancing
A = P(1 + r) ^n
1/16
Number is a multiple of 3 and 2

37. Compound interest rule
Find simple interest then look for the answer that is a little bigger
Even
1.4
14 liters

38. 2n+1 - 2n+3 - 2n+5
1st Rule of Probability: Basic Rule is what?
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Odd
always try to factor

39. Triangle abc with d on the outside with a line. What does d = ?
Exterior angle d is equal to the sum of the two remote interior angles a and b
p/100 = is/of
(n-1)!
Odd

40. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
Exterior angle d is equal to the sum of the two remote interior angles a and b
1.4
principle (interest rate - in decimal form) (time - in years)
The total amount before any deductions

41. Net
| A union B| = |A| + |B| - |A intersect B|
If the outcome of one event affects the outcome of the other event.
16.6%
The amount after deductions

42. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
x - x - x(sq. rt 2)
2 steps
The probability of event occurring is...

43. Quadratic formula
Immediately UNFACTOR or vice versa
Odd numbers only have ___________
-b +- sq. rt(b^2 - 4ac) / 2a
Odd

44. Sq. rt(3)
Principal (1 + interest/number times compounded)^(t)(n)
Exterior angle d is equal to the sum of the two remote interior angles a and b
1.7
Figure out the probability for each individual event. Multiply the individual probabilities together.

45. Dependent events: When are two events said to be dependent events?
Even
always try to factor
4/3 TT r ^3
If the outcome of one event affects the outcome of the other event.

46. Average Rate: Average speed
12^3
(total distance) / (total time)
83.3%
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.

47. Odd Factors
______ |m-n|
Odd numbers only have ___________
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.
x(sq. rt 3) - x - 2x

48. Trial Problems: look at the probability of NOT OCCURRING
P(event NOT occurring) = 1 - P(event occurring)
P(E)P(F)
sum = (average)(number of terms)
Any multiplication involving an even number creates an even product.

49. 0! = ?
4/3 TT r ^3
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
1
p/100 = is/of

50. 45-45-90 triangle basic lengths of sides
Even
Number is a multiple of 3 and 2
x - x - x(sq. rt 2)
Gross Profit = Selling Price - Cost