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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. Combined Events: Not E = P(not E) = ?
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
$11 - 025
1 - P(E)
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.

2. 4th rule of Probability
(amount of change) / (original amount)
D or E
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)
4/3 TT r ^3

3. Inscribed Angle - Minor Arc
83.3%
22
$11 - 025
Minor arc = 2(inscribed angle)

4. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
The probability of an event occurring plus the probability of the event not occurring = 1
Sum of digits is multiple of 3
D or E

5. 30-60-90 triangle basic lengths of sides
Figure out the probability for each individual event. Multiply the individual probabilities together.
x(sq. rt 3) - x - 2x
1
The amount after deductions

6. Price purchased for by wholesaler
1.4
Purchase price
sum = (average)(number of terms)
Sum of digits is multiple of 3

7. Average Rate: Average speed
1.7
1.4
2 steps
(total distance) / (total time)

8. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
always try to factor
Even
A = P(1 + r) ^n
Figure out the probability for each individual event. Multiply the individual probabilities together.

9. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
Divide 4999 by 15 => 333 integers
Gross Profit = Selling Price - Cost
22
(x-n(n)y-n)

10. Number added or deleted
12.5%
Group 1 + Group 2 + Neither - Both = Total
12^3
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

11. 5/6 = what %
x(sq. rt 3) - x - 2x
P(event NOT occurring) = 1 - P(event occurring)
Sum of digits is multiple of 9
83.3%

12. 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
Balancing
Find simple interest then look for the answer that is a little bigger
Gross Profit = Selling Price - Cost
12^3

13. Indistinguishable events how to find the number of permutations

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14. 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
3 - 6 - 9 - 12
Group 1 + Group 2 + Neither - Both = Total
347
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. x^r/s = ?
s Sq. rt (x^r)
12^3
______ |m-n|
Figure out the probability for each individual event. Multiply the individual probabilities together.

16. Quadratic formula
x - x - x(sq. rt 2)
P(event NOT occurring) = 1 - P(event occurring)
-b +- sq. rt(b^2 - 4ac) / 2a
P(E) + P(F) - P(E and F)

17. How to check whether a number is a multiple of 3.
Sum of digits is multiple of 3
2 steps
Figure out the probability for each individual event. Multiply the individual probabilities together.
Even

18. 1/6 = what %
1.7
16.6%
Sum of digits is multiple of 3
3 - 6 - 9 - 12

19. Gross
Minor arc = 2(inscribed angle)
sum = (average)(number of terms)
Purchase price
The total amount before any deductions

20. 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.
14 liters
Organize into a grid.
Immediately try factoring/simplifying when possible
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

21. 2nd Rule of Probability: P(E) = 1 - P(not E)
The probability of an event occurring plus the probability of the event not occurring = 1
gcd(m,n)*lcm(m,n) = mn
$11 - 025
Odd

22. Percent Formula
Group 1 + Group 2 + Neither - Both = Total
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
p/100 = is/of
n! / (n - r)!

23. 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.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Sum of digits is multiple of 9
market value

24. How to find all divisors of a number
principle (interest rate - in decimal form) (time - in years)
0.15n + 0.08(5) = 0.1(n+5)
The probability of event occurring is...
Find all prime factors

25. What does the Sum of the angles in a Regular Polygon formula look like?
12^3
Gross Profit = Selling Price - Cost
180(n-2)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

26. How to check whether a number is a multiple of 12.
Sum of digits is multiple of 3 - last two digits multiple of 4.
1/16
y2 - y1 / x2 - x1
Sum of digits is multiple of 3

27. What to do with equations that have fractions
4/3 TT r ^3
Immediately try factoring/simplifying when possible
Purchase price
-b +- sq. rt(b^2 - 4ac) / 2a

28. Permutations: Order Matters
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.
P(event NOT occurring) = 1 - P(event occurring)
16.6%
n! / (n - r)!

29. Formula for area of a Trapezoid
(sum of bases)(height) / 2
P(event NOT occurring) = 1 - P(event occurring)
always try to factor
3-4-5 - 5-12-13 - 9-12-15

30. 3^3 x 4^3 = ?
P(E) + P(F) - P(E and F)
22
12^3
Number is a multiple of 3 and 2

31. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
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 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
3-4-5 - 5-12-13 - 9-12-15
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

32. (1/4)^2
at least 3 steps
Even
Minor arc = 2(inscribed angle)
1/16

33. Dependent events: When are two events said to be dependent events?
Organize into a grid.
P(E)P(F)
always try to factor
If the outcome of one event affects the outcome of the other event.

34. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
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
Sum of digits is multiple of 9
(total distance) / (total time)
principle (interest rate - in decimal form) (time - in years)

35. Compound interest rule
Find simple interest then look for the answer that is a little bigger
Any multiplication involving an even number creates an even product.
at least 3 steps
Balancing

36. Intersecting Sets
x(sq. rt 3) - x - 2x
| A union B| = |A| + |B| - |A intersect B|
D or E
1 - P(E)

37. Gross Profit formula
Gross Profit = Selling Price - Cost
Minor arc = 2(inscribed angle)
s Sq. rt (x^r)
(sum of bases)(height) / 2

38. Price sold for by retailer (after markup)
1.7
Group 1 + Group 2 + Neither - Both = Total
market value
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

39. Multiplication principle
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(E) + P(F) - P(E and F)
Odd
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.

40. Average Rate: Average A per B
1.7
83.3%
(total A) / (total B)
Sum of digits is multiple of 3

41. How to check whether number is multiple of 9
3 - 6 - 9 - 12
s Sq. rt (x^r)
Sum of digits is multiple of 9
Immediately UNFACTOR or vice versa

42. Odd Factors
1 - P(E)
Principal (1 + interest/number times compounded)^(t)(n)
Odd numbers only have ___________
-b +- sq. rt(b^2 - 4ac) / 2a

43. Three triangle length patterns
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
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
3-4-5 - 5-12-13 - 9-12-15

44. 3rd Rule of Probability: Conditional Probability
Minor arc = 2(inscribed angle)
gcd(m,n)*lcm(m,n) = mn
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.
The probability of an event occurring plus the probability of the event not occurring = 1

45. Compound interest formula
The probability of event occurring is...
Odd numbers only have ___________
| A union B| = |A| + |B| - |A intersect B|
Principal (1 + interest/number times compounded)^(t)(n)

46. Set Problems formula
P(event NOT occurring) = 1 - P(event occurring)
Number is a multiple of 3 and 2
3-4-5 - 5-12-13 - 9-12-15
(x-n(n)y-n)

47. The average of consecutive numbers
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.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Immediately try factoring/simplifying when possible
The total amount before any deductions

48. 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
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Figure out the probability for each individual event. Multiply the individual probabilities together.
14 liters

49. How to find the slope.
y2 - y1 / x2 - x1
347
-b +- sq. rt(b^2 - 4ac) / 2a
Odd numbers only have ___________

50. 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?
22
1.4
12^3