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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. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
3 - 6 - 9 - 12
x(sq. rt 3) - x - 2x
Find all prime factors
D or E

2. 2n+1 - 2n+3 - 2n+5
Odd
Exterior angle d is equal to the sum of the two remote interior angles a and b
n! / (n - r)!
(amount of change) / (original amount)

3. Net
1.4
Organize into a grid.
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 amount after deductions

4. How to find the slope.
y2 - y1 / x2 - x1
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.
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.
180(n-2)

5. 3^3 x 4^3 = ?
12^3
______ |m-n|
(# of favorable outcomes) / (# of possible outcomes)
347

6. Volume of a sphere
(total A) / (total B)
347
4/3 TT r ^3
1.7

7. Prime Factorization to find Greatest Common Factor
The probability of an event occurring plus the probability of the event not occurring = 1
Organize into a grid.
at least 3 steps
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

8. 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.
Sum of digits is multiple of 9
p/100 = is/of
1.4
1st Rule of Probability: Basic Rule is what?

9. Price purchased for by wholesaler
180(n-2)
Purchase price
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.

10. Inscribed Angle - Minor Arc
Any multiplication involving an even number creates an even product.
3 - 6 - 9 - 12
14 liters
Minor arc = 2(inscribed angle)

11. Multiples of 3
3 - 6 - 9 - 12
principle (interest rate - in decimal form) (time - in years)
-b +- sq. rt(b^2 - 4ac) / 2a
Group 1 + Group 2 + Neither - Both = Total

12. Permutations: Order Matters
Purchase price
n! / (n - r)!
Odd numbers only have ___________
Immediately UNFACTOR or vice versa

13. Percent increase = ?
(amount of change) / (original amount)
3 - 6 - 9 - 12
12^3
Odd

14. The number of ways independent events can occur together.
4/3 TT r ^3
Minor arc = 2(inscribed angle)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
D or E

15. Formula for area of a Trapezoid
16.6%
(sum of bases)(height) / 2
1 - P(E)
Purchase price

16. How to check whether a number is a multiple of 4.
Exterior angle d is equal to the sum of the two remote interior angles a and b
The amount after deductions
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
Last two digits are multiple of 4 or the number can be divided by 2 twice.

17. When you see an equation in factored form in a question?
A = P(1 + r) ^n
Immediately UNFACTOR or vice versa
Immediately try factoring/simplifying when possible
Purchase price

18. To determine the number of integers less than 5000 that are evenly divisible by 15...?
P(event NOT occurring) = 1 - P(event occurring)
1st Rule of Probability: Basic Rule is what?
D or E
Divide 4999 by 15 => 333 integers

19. 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?
(sum of bases)(height) / 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 - P(E)
0.15n + 0.08(5) = 0.1(n+5)

20. How to check whether number is multiple of 9
Sum of digits is multiple of 9
Purchase price
1 - P(E)
Immediately try factoring/simplifying when possible

21. 3rd Rule of Probability: Conditional Probability
Sum of digits is multiple of 9
4/3 TT r ^3
at least 3 steps
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.

22. Set Problems formula
(x-n(n)y-n)
always try to factor
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

23. Combined Events: Not E = P(not E) = ?
1 - P(E)
x(sq. rt 3) - x - 2x
3 - 6 - 9 - 12
The probability of an event occurring plus the probability of the event not occurring = 1

24. 0! = ?
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.
1
Number is a multiple of 3 and 2
16.6%

25. Indistinguishable events how to find the number of permutations

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26. Percent Formula
Gross Profit = Selling Price - Cost
sum = (average)(number of terms)
p/100 = is/of
Even

27. The average of consecutive numbers
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
(sum of bases)(height) / 2
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

28. How to check whether a number is a multiple of 6
12^3
1/16
180(n-2)
Number is a multiple of 3 and 2

29. In general - difficult questions require how many steps to solve?
Even
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.
at least 3 steps
x - x - x(sq. rt 2)

30. What to do with equations that have fractions
3 - 6 - 9 - 12
347
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
Immediately try factoring/simplifying when possible

31. How do you multiply roots together.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
______ |m-n|
16.6%

32. Gross
The total amount before any deductions
| A union B| = |A| + |B| - |A intersect B|
Purchase price
Divide 4999 by 15 => 333 integers

33. Compound interest rule
Principal (1 + interest/number times compounded)^(t)(n)
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
always try to factor
Find simple interest then look for the answer that is a little bigger

34. Price sold for by retailer (after markup)
0.15n + 0.08(5) = 0.1(n+5)
market value
______ |m-n|
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

35. Average Rate: Average speed
1.7
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
Minor arc = 2(inscribed angle)
(total distance) / (total time)

36. Probability and Geometry.
s Sq. rt (x^r)
16.6%
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
(n-1)!

37. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
Gross Profit = Selling Price - Cost
s Sq. rt (x^r)
347
16.6%

38. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
1st Rule of Probability: Basic Rule is what?
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
x(sq. rt 3) - x - 2x
Number is a multiple of 3 and 2

39. The number of outcomes that result in A divided by the total number of possible outcomes.
The probability of event occurring is...
A = P(1 + r) ^n
Minor arc = 2(inscribed angle)
P(event NOT occurring) = 1 - P(event occurring)

40. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
always try to factor
4/3 TT r ^3
1.7
principle (interest rate - in decimal form) (time - in years)

41. Combined Events: E or F
The probability of an event occurring plus the probability of the event not occurring = 1
$11 - 025
Odd
P(E) + P(F) - P(E and F)

42. 4th rule of Probability
Odd numbers only have ___________
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)
The probability of event occurring is...

43. 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.
1
1.7
Sum of digits is multiple of 3
Organize into a grid.

44. How to check for a prime number.

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45. Sq. rt(3)
22
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.
1.7
Odd

46. 1/6 = what %
Gross Profit = Selling Price - Cost
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
16.6%
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

47. Properties of 0
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
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
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.
1 - P(E)

48. 2n - 2n+2 - 2n+4
Group 1 + Group 2 + Neither - Both = Total
(total A) / (total B)
Balancing
Even

49. Intersecting Sets
1st Rule of Probability: Basic Rule is what?
Sum of digits is multiple of 3
| A union B| = |A| + |B| - |A intersect B|
Minor arc = 2(inscribed angle)

50. Trial Problems: look at the probability of NOT OCCURRING
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.
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
The probability of an event occurring plus the probability of the event not occurring = 1
P(event NOT occurring) = 1 - P(event occurring)