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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. Compound interest rule
12^3
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Find simple interest then look for the answer that is a little bigger
p/100 = is/of

2. 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.
1st Rule of Probability: Basic Rule is what?
16.6%
Any multiplication involving an even number creates an even product.
The probability of an event occurring plus the probability of the event not occurring = 1

3. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
x - x - x(sq. rt 2)
0.15n + 0.08(5) = 0.1(n+5)
D or E
Figure out the probability for each individual event. Multiply the individual probabilities together.

4. Simple probability
3-4-5 - 5-12-13 - 9-12-15
(# of favorable outcomes) / (# of possible outcomes)
market value
Number is a multiple of 3 and 2

5. In general - medium questions require how many steps to solve?
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Balancing
2 steps
x(sq. rt 3) - x - 2x

6. (1/4)^2
Last two digits are multiple of 4 or the number can be divided by 2 twice.
principle (interest rate - in decimal form) (time - in years)
1/16
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)

7. Combined Events: Not E = P(not E) = ?
0.15n + 0.08(5) = 0.1(n+5)
1 - P(E)
p/100 = is/of
12.5%

8. 3^3 x 4^3 = ?
12^3
Immediately UNFACTOR or vice versa
Minor arc = 2(inscribed angle)
x - x - x(sq. rt 2)

9. Properties of 0
Divide 4999 by 15 => 333 integers
market value
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
14 liters

10. In general - difficult questions require how many steps to solve?
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
at least 3 steps
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.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

11. Work problem rule
-b +- sq. rt(b^2 - 4ac) / 2a
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.
gcd(m,n)*lcm(m,n) = mn
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. Sum of consecutive numbers
principle (interest rate - in decimal form) (time - in years)
sum = (average)(number of terms)
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 AND event B occurring is the probability of event A times the probability of event B - given that A has already occurred.

13. 2n - 2n+2 - 2n+4
Find all prime factors
s Sq. rt (x^r)
1.4
Even

14. Intersecting Sets
(amount of change) / (original amount)
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.
| A union B| = |A| + |B| - |A intersect B|
22

15. Volume of a sphere
Gross Profit = Selling Price - Cost
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
4/3 TT r ^3
always try to factor

16. Price sold for by retailer (after markup)
14 liters
Sum of digits is multiple of 3
market value
(amount of change) / (original amount)

17. x^r/s = ?
Sum of digits is multiple of 3
22
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
s Sq. rt (x^r)

18. Always try to factor
always try to factor
$11 - 025
s Sq. rt (x^r)
Sum of digits is multiple of 3 - last two digits multiple of 4.

19. To determine multiple-event probability where each individual event must occur in a certain way.
| A union B| = |A| + |B| - |A intersect B|
Figure out the probability for each individual event. Multiply the individual probabilities together.
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
1 - P(E)

20. How to check for a prime number.

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21. Multiples of 3
3 - 6 - 9 - 12
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)
(total distance) / (total time)

22. What to do with equations that have fractions
Immediately try factoring/simplifying when possible
(sum of bases)(height) / 2
Exterior angle d is equal to the sum of the two remote interior angles a and b
Divide 4999 by 15 => 333 integers

23. How to find the slope.
D or E
Organize into a grid.
y2 - y1 / x2 - x1
(# of favorable outcomes) / (# of possible outcomes)

24. Three triangle length patterns
3-4-5 - 5-12-13 - 9-12-15
-b +- sq. rt(b^2 - 4ac) / 2a
(x-n(n)y-n)
Divide 4999 by 15 => 333 integers

25. gcd(m,n)*lcm(m,n)
p/100 = is/of
Sum of digits is multiple of 3 - last two digits multiple of 4.
s Sq. rt (x^r)
gcd(m,n)*lcm(m,n) = mn

26. Sq. rt(2)
Principal (1 + interest/number times compounded)^(t)(n)
1.4
n! / (n - r)!
The probability of event occurring is...

27. Permutations: Order Matters
Any multiplication involving an even number creates an even product.
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
n! / (n - r)!
p/100 = is/of

28. Formula for Mixed Group problems (involving Both/Neither)
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
Group 1 + Group 2 + Neither - Both = Total
Minor arc = 2(inscribed angle)

29. Indistinguishable events how to find the number of permutations

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30. Average Rate: Average A per B
(total A) / (total B)
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
(# of favorable outcomes) / (# of possible outcomes)
Even

31. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
Any multiplication involving an even number creates an even product.
(sum of bases)(height) / 2
347
4/3 TT r ^3

32. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
22
Exterior angle d is equal to the sum of the two remote interior angles a and b
(n-1)!

33. Price purchased for by wholesaler
Purchase price
Any multiplication involving an even number creates an even product.
Immediately try factoring/simplifying when possible
12^3

34. 1/6 = what %
market value
16.6%
Sum of digits is multiple of 3
Minor arc = 2(inscribed angle)

35. Gross
16.6%
The total amount before any deductions
347
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.

36. 2n+1 - 2n+3 - 2n+5
The probability of an event occurring plus the probability of the event not occurring = 1
Odd
s Sq. rt (x^r)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

37. 3rd Rule of Probability: Conditional Probability
Balancing
Number is a multiple of 3 and 2
The total amount before any deductions
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.

38. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
$11 - 025
The amount after deductions
83.3%
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)

39. Dependent events: When are two events said to be dependent events?
Exterior angle d is equal to the sum of the two remote interior angles a and b
market value
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.
If the outcome of one event affects the outcome of the other event.

40. How to find all divisors of a number
Find all prime factors
(x-n(n)y-n)
1
The probability of event occurring is...

41. When you see an equation in factored form in a question?
P(event NOT occurring) = 1 - P(event occurring)
$11 - 025
Organize into a grid.
Immediately UNFACTOR or vice versa

42. The number of outcomes that result in A divided by the total number of possible outcomes.
p/100 = is/of
16.6%
The probability of event occurring is...
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

43. The number of ways independent events can occur together.
Sum of digits is multiple of 3
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Balancing
(n-1)!

44. Combined Events: E and F
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.
principle (interest rate - in decimal form) (time - in years)
P(E)P(F)
3 - 6 - 9 - 12

45. How to check whether a number is a multiple of 4.
1/16
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Minor arc = 2(inscribed angle)
(x-n(n)y-n)

46. How to check whether a number is a multiple of 12.
Odd numbers only have ___________
Sum of digits is multiple of 3 - last two digits multiple of 4.
14 liters
Immediately try factoring/simplifying when possible

47. Number added or deleted
gcd(m,n)*lcm(m,n) = mn
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Sum of digits is multiple of 9
x - x - x(sq. rt 2)

48. Percent Formula
Divide 4999 by 15 => 333 integers
p/100 = is/of
The total amount before any deductions
Sum of digits is multiple of 9

49. Net
(amount of change) / (original amount)
0.15n + 0.08(5) = 0.1(n+5)
The amount after deductions
1.7

50. Set Problems formula
Immediately UNFACTOR or vice versa
Even
(sum of bases)(height) / 2
(x-n(n)y-n)