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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. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
Minor arc = 2(inscribed angle)
sum = (average)(number of terms)
Odd

2. Number added or deleted
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
1.4
(n-1)!
(# of favorable outcomes) / (# of possible outcomes)

3. To determine multiple-event probability where each individual event must occur in a certain way.
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.
1.4
Figure out the probability for each individual event. Multiply the individual probabilities together.
The probability of an event occurring plus the probability of the event not occurring = 1

4. 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?
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
0.15n + 0.08(5) = 0.1(n+5)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Immediately try factoring/simplifying when possible

5. 3^3 x 4^3 = ?
12^3
3 - 6 - 9 - 12
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
sum = (average)(number of terms)

6. Percent increase = ?
(# of favorable outcomes) / (# of possible outcomes)
(amount of change) / (original amount)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1.7

7. Formula for area of a Trapezoid
(sum of bases)(height) / 2
1.7
2 steps
x(sq. rt 3) - x - 2x

8. Odd Factors
12^3
Odd numbers only have ___________
3-4-5 - 5-12-13 - 9-12-15
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

9. Average Rate: Average speed
always try to factor
$11 - 025
(# of favorable outcomes) / (# of possible outcomes)
(total distance) / (total time)

10. Always try to factor
always try to factor
0.15n + 0.08(5) = 0.1(n+5)
Find all prime factors
If the outcome of one event affects the outcome of the other event.

11. 0! = ?
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.
A = P(1 + r) ^n
180(n-2)
1

12. Sum of consecutive numbers
Gross Profit = Selling Price - Cost
347
D or E
sum = (average)(number of terms)

13. How to check whether number is multiple of 9
D or E
(sum of bases)(height) / 2
1st Rule of Probability: Basic Rule is what?
Sum of digits is multiple of 9

14. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
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
Balancing
Sum of digits is multiple of 3
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

15. How do you multiply roots together.
Divide 4999 by 15 => 333 integers
Sum of digits is multiple of 9
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
347

16. Indistinguishable events how to find the number of permutations

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17. How to check whether a number is a multiple of 3.
The total amount before any deductions
Sum of digits is multiple of 3
Odd numbers only have ___________
Exterior angle d is equal to the sum of the two remote interior angles a and b

18. Trial Problems: look at the probability of NOT OCCURRING
P(event NOT occurring) = 1 - P(event occurring)
1.4
1
1st Rule of Probability: Basic Rule is what?

19. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
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
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
D or E

20. The number of outcomes that result in A divided by the total number of possible outcomes.
D or E
The probability of event occurring is...
Minor arc = 2(inscribed angle)
always try to factor

21. Price sold for by retailer (after markup)
Sum of digits is multiple of 9
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.
market value
(amount of change) / (original amount)

22. Multiples of 3
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 = (average)(number of terms)
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 - 6 - 9 - 12

23. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
(total distance) / (total time)
Even
at least 3 steps
22

24. 2n+1 - 2n+3 - 2n+5
Odd
x(sq. rt 3) - x - 2x
The probability of event occurring is...
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.

25. x^r/s = ?
Balancing
Gross Profit = Selling Price - Cost
s Sq. rt (x^r)
1.7

26. When you see an equation in factored form in a question?
Immediately UNFACTOR or vice versa
p/100 = is/of
1st Rule of Probability: Basic Rule is what?
3-4-5 - 5-12-13 - 9-12-15

27. 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.
y2 - y1 / x2 - x1
$11 - 025
Organize into a grid.
If the outcome of one event affects the outcome of the other event.

28. 45-45-90 triangle basic lengths of sides
14 liters
1/16
x - x - x(sq. rt 2)
Immediately UNFACTOR or vice versa

29. Simple probability
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.
-b +- sq. rt(b^2 - 4ac) / 2a
(# of favorable outcomes) / (# of possible outcomes)
D or E

30. (1/4)^2
2 steps
Last two digits are multiple of 4 or the number can be divided by 2 twice.
1/16
Even

31. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1st Rule of Probability: Basic Rule is what?
347
Purchase price

32. In general - difficult questions require how many steps to solve?
at least 3 steps
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
Odd numbers only have ___________

33. Probability and Geometry.
Find simple interest then look for the answer that is a little bigger
always try to factor
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 total amount before any deductions

34. Work problem rule
Sum of digits is multiple of 3 - last two digits multiple of 4.
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.
(n-1)!
P(E) + P(F) - P(E and F)

35. Permutations: Order Matters
principle (interest rate - in decimal form) (time - in years)
n! / (n - r)!
1
Divide 4999 by 15 => 333 integers

36. Gross
Find simple interest then look for the answer that is a little bigger
The total amount before any deductions
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.
(x-n(n)y-n)

37. Formula for Mixed Group problems (involving Both/Neither)
(n-1)!
$11 - 025
Group 1 + Group 2 + Neither - Both = Total
Balancing

38. Dependent events: When are two events said to be dependent events?
If the outcome of one event affects the outcome of the other event.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
______ |m-n|
Even

39. The number of ways independent events can occur together.
347
(n-1)!
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Even

40. Average Rate: Average A per B
Principal (1 + interest/number times compounded)^(t)(n)
(total A) / (total B)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
x - x - x(sq. rt 2)

41. Properties of 0
Purchase price
D or E
22
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

42. Compound interest rule
180(n-2)
Find simple interest then look for the answer that is a little bigger
Organize into a grid.
(x-n(n)y-n)

43. Combined Events: E and F
P(E)P(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.
0.15n + 0.08(5) = 0.1(n+5)
180(n-2)

44. Net
The amount after deductions
market value
180(n-2)
Divide 4999 by 15 => 333 integers

45. Inscribed Angle - Minor Arc
principle (interest rate - in decimal form) (time - in years)
Immediately try factoring/simplifying when possible
Sum of digits is multiple of 3
Minor arc = 2(inscribed angle)

46. The average of consecutive numbers
2 steps
Purchase price
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
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.

47. 1/8 = what %
347
2 steps
(x-n(n)y-n)
12.5%

48. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
3-4-5 - 5-12-13 - 9-12-15
Purchase price
Last two digits are multiple of 4 or the number can be divided by 2 twice.

49. How to check for a prime number.

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50. Sq. rt(3)
1.7
(x-n(n)y-n)
3-4-5 - 5-12-13 - 9-12-15
______ |m-n|