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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. The number of outcomes that result in A divided by the total number of possible outcomes.
The probability of event occurring is...
Find all prime factors
Purchase price
1.4

2. Trial Problems: look at the probability of NOT OCCURRING
P(event NOT occurring) = 1 - P(event occurring)
Figure out the probability for each individual event. Multiply the individual probabilities together.
x(sq. rt 3) - x - 2x
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

3. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
principle (interest rate - in decimal form) (time - in years)
4/3 TT r ^3
1st Rule of Probability: Basic Rule is what?
Group 1 + Group 2 + Neither - Both = Total

4. Combined Events: Not E = P(not E) = ?
Sum of digits is multiple of 3
1 - P(E)
(x-n(n)y-n)
Minor arc = 2(inscribed angle)

5. How to check for a prime number.

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6. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
$11 - 025
Sum of digits is multiple of 9
Even
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

7. Average Rate: Average speed
The probability of an event occurring plus the probability of the event not occurring = 1
3 - 6 - 9 - 12
(total distance) / (total time)
14 liters

8. Dependent events: When are two events said to be dependent events?
If the outcome of one event affects the outcome of the other event.
______ |m-n|
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.

9. To determine multiple-event probability where each individual event must occur in a certain way.
Odd
Figure out the probability for each individual event. Multiply the individual probabilities together.
(sum of bases)(height) / 2
The total amount before any deductions

10. Net
y2 - y1 / x2 - x1
1/16
Organize into a grid.
The amount after deductions

11. 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.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
(amount of change) / (original amount)
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)

12. 2n+1 - 2n+3 - 2n+5
y2 - y1 / x2 - x1
Odd
Minor arc = 2(inscribed angle)
347

13. Indistinguishable events how to find the number of permutations

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14. In general - difficult questions require how many steps to solve?
(# of favorable outcomes) / (# of possible outcomes)
at least 3 steps
Group 1 + Group 2 + Neither - Both = Total
market value

15. 3rd Rule of Probability: Conditional Probability
Group 1 + Group 2 + Neither - Both = Total
1 - P(E)
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.
Immediately try factoring/simplifying when possible

16. 30-60-90 triangle basic lengths of sides
(total distance) / (total time)
x(sq. rt 3) - x - 2x
Sum of digits is multiple of 3 - last two digits multiple of 4.
Odd numbers only have ___________

17. Price purchased for by wholesaler
p/100 = is/of
Purchase price
gcd(m,n)*lcm(m,n) = mn
The amount after deductions

18. 2n - 2n+2 - 2n+4
Even
| A union B| = |A| + |B| - |A intersect B|
4/3 TT r ^3
A = P(1 + r) ^n

19. 5/6 = what %
Find simple interest then look for the answer that is a little bigger
______ |m-n|
P(event NOT occurring) = 1 - P(event occurring)
83.3%

20. The average of consecutive numbers
1/16
Find simple interest then look for the answer that is a little bigger
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

21. Gross
Sum of digits is multiple of 9
Organize into a grid.
The total amount before any deductions
Group 1 + Group 2 + Neither - Both = Total

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.
14 liters
Immediately UNFACTOR or vice versa
2 steps

23. Gross Profit formula
Find simple interest then look for the answer that is a little bigger
(total distance) / (total time)
1.4
Gross Profit = Selling Price - Cost

24. 1/6 = what %
sum = (average)(number of terms)
16.6%
Last two digits are multiple of 4 or the number can be divided by 2 twice.
4/3 TT r ^3

25. How to find all divisors of a number
Figure out the probability for each individual event. Multiply the individual probabilities together.
(n-1)!
Find all prime factors
1

26. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
(sum of bases)(height) / 2
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
D or E
p/100 = is/of

27. In general - medium questions require how many steps to solve?
-b +- sq. rt(b^2 - 4ac) / 2a
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
2 steps
A = P(1 + r) ^n

28. Average Rate: Average A per B
(total A) / (total B)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
sum = (average)(number of terms)
(n-1)!

29. x^r/s = ?
s Sq. rt (x^r)
3-4-5 - 5-12-13 - 9-12-15
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
(x-n(n)y-n)

30. (1/4)^2
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
1
1/16
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

31. 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
Organize into a grid.
A = P(1 + r) ^n
The total amount before any deductions

32. Multiples of 3
(sum of bases)(height) / 2
3 - 6 - 9 - 12
0.15n + 0.08(5) = 0.1(n+5)
Principal (1 + interest/number times compounded)^(t)(n)

33. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
14 liters
1/16
347
Find simple interest then look for the answer that is a little bigger

34. What to do with equations that have fractions
83.3%
Any multiplication involving an even number creates an even product.
347
Immediately try factoring/simplifying when possible

35. What does the Sum of the angles in a Regular Polygon formula look like?
Principal (1 + interest/number times compounded)^(t)(n)
347
(amount of change) / (original amount)
180(n-2)

36. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
Even
Balancing
(n-1)!
market value

37. 1/8 = what %
12.5%
always try to factor
n! / (n - r)!
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

38. Number added or deleted
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
3-4-5 - 5-12-13 - 9-12-15
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
principle (interest rate - in decimal form) (time - in years)

39. Prime Factorization to find Greatest Common Factor
Balancing
n! / (n - r)!
(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

40. Intersecting Sets
| A union B| = |A| + |B| - |A intersect B|
Figure out the probability for each individual event. Multiply the individual probabilities together.
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
12^3

41. How do you multiply roots together.
83.3%
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
180(n-2)
A = P(1 + r) ^n

42. 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.
Purchase price
A = P(1 + r) ^n
3-4-5 - 5-12-13 - 9-12-15

43. Price sold for by retailer (after markup)
Any multiplication involving an even number creates an even product.
1/16
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
market value

44. Percent increase = ?
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.
Sum of digits is multiple of 3 - last two digits multiple of 4.
P(E) + P(F) - P(E and F)
(amount of change) / (original amount)

45. Sq. rt(2)
1.4
y2 - y1 / x2 - x1
Sum of digits is multiple of 9
Even

46. gcd(m,n)*lcm(m,n)
gcd(m,n)*lcm(m,n) = mn
The probability of an event occurring plus the probability of the event not occurring = 1
Sum of digits is multiple of 3 - last two digits multiple of 4.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

47. Probability and Geometry.
(sum of bases)(height) / 2
Purchase price
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
A = P(1 + r) ^n

48. Think of averages as what? The average of 3 - 4 - 5 - and x is 5. What is x? 3 is 2 less than 5 4 is 1 less than 5 - 5 is the average - x = 5 + 3 = 8
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
0.15n + 0.08(5) = 0.1(n+5)
Balancing
Even

49. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Gross Profit = Selling Price - Cost
(x-n(n)y-n)
Divide 4999 by 15 => 333 integers
gcd(m,n)*lcm(m,n) = mn

50. How to check whether number is multiple of 9
Gross Profit = Selling Price - Cost
347
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Sum of digits is multiple of 9