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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 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.
Even
1/16

2. Net
The amount after deductions
The probability of event occurring is...
1
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

3. When you see an equation in factored form in a question?
-b +- sq. rt(b^2 - 4ac) / 2a
Immediately UNFACTOR or vice versa
Sum of digits is multiple of 3
D or E

4. In general - medium questions require how many steps to solve?
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.
1.7
2 steps
The amount after deductions

5. What to do with equations that have fractions
1st Rule of Probability: Basic Rule is what?
12^3
Immediately try factoring/simplifying when possible
(total distance) / (total time)

6. Intersecting Sets
| A union B| = |A| + |B| - |A intersect B|
180(n-2)
4/3 TT r ^3
P(event NOT occurring) = 1 - P(event occurring)

7. Odd and Even rule.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
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
Figure out the probability for each individual event. Multiply the individual probabilities together.
Any multiplication involving an even number creates an even product.

8. Sq. rt(2)
1.4
83.3%
14 liters
Immediately UNFACTOR or vice versa

9. Simple probability
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.
(# of favorable outcomes) / (# of possible outcomes)
12^3
(amount of change) / (original amount)

10. 3^3 x 4^3 = ?
Gross Profit = Selling Price - Cost
1/16
D or E
12^3

11. 2n - 2n+2 - 2n+4
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
4/3 TT r ^3
Even
14 liters

12. Percent Formula
Odd numbers only have ___________
p/100 = is/of
Principal (1 + interest/number times compounded)^(t)(n)
3-4-5 - 5-12-13 - 9-12-15

13. Multiplication principle
Gross Profit = Selling Price - Cost
Sum of digits is multiple of 3 - last two digits multiple of 4.
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
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

14. Quadratic formula
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.
______ |m-n|
-b +- sq. rt(b^2 - 4ac) / 2a
x - x - x(sq. rt 2)

15. Dependent events: When are two events said to be dependent events?
0.15n + 0.08(5) = 0.1(n+5)
| A union B| = |A| + |B| - |A intersect B|
D or E
If the outcome of one event affects the outcome of the other event.

16. Three triangle length patterns
180(n-2)
y2 - y1 / x2 - x1
3-4-5 - 5-12-13 - 9-12-15
s Sq. rt (x^r)

17. How to check whether a number is a multiple of 6
Any multiplication involving an even number creates an even product.
Number is a multiple of 3 and 2
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

18. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
4/3 TT r ^3
347
Even
n! / (n - r)!

19. 2nd Rule of Probability: P(E) = 1 - P(not E)
A = P(1 + r) ^n
The probability of an event occurring plus the probability of the event not occurring = 1
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 amount after deductions

20. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
market value
A = P(1 + r) ^n
1st Rule of Probability: Basic Rule is what?
(sum of bases)(height) / 2

21. How to check whether number is multiple of 9
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.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Sum of digits is multiple of 9
P(E)P(F)

22. Triangle abc with d on the outside with a line. What does d = ?
The total amount before any deductions
16.6%
Exterior angle d is equal to the sum of the two remote interior angles a and b
14 liters

23. Compound interest rule
14 liters
Find simple interest then look for the answer that is a little bigger
P(event NOT occurring) = 1 - P(event occurring)
1st Rule of Probability: Basic Rule is what?

24. 1/6 = what %
16.6%
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
Divide 4999 by 15 => 333 integers
Even

25. Price purchased for by wholesaler
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
Purchase price
Sum of digits is multiple of 3
P(E)P(F)

26. Sum of consecutive numbers
Find all prime factors
sum = (average)(number of terms)
P(E)P(F)
-b +- sq. rt(b^2 - 4ac) / 2a

27. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
D or E
principle (interest rate - in decimal form) (time - in years)
P(event NOT occurring) = 1 - P(event occurring)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

28. How to find all divisors of a number
x - x - x(sq. rt 2)
Find all prime factors
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
1st Rule of Probability: Basic Rule is what?

29. Properties of 0
The probability of event occurring is...
1.7
(n-1)!
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

30. How to find the slope.
y2 - y1 / x2 - x1
| A union B| = |A| + |B| - |A intersect B|
14 liters
Immediately UNFACTOR or vice versa

31. Work problem rule
Odd numbers only have ___________
(total A) / (total B)
(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.

32. 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
(n-1)!
Odd numbers only have ___________
Balancing
(amount of change) / (original amount)

33. Percent increase = ?
(amount of change) / (original amount)
1 - P(E)
Gross Profit = Selling Price - Cost
| A union B| = |A| + |B| - |A intersect B|

34. x^r/s = ?
Sum of digits is multiple of 3 - last two digits multiple of 4.
The total amount before any deductions
s Sq. rt (x^r)
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.

35. Probability and Geometry.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
P(E) + P(F) - P(E and F)
Exterior angle d is equal to the sum of the two remote interior angles a and 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

36. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
Exterior angle d is equal to the sum of the two remote interior angles a and b
D or E
Purchase price
P(event NOT occurring) = 1 - P(event occurring)

37. Set Problems formula
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
(x-n(n)y-n)
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.

38. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
(amount of change) / (original amount)
Find simple interest then look for the answer that is a little bigger
(n-1)!
1.4

39. 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.
(total distance) / (total time)
180(n-2)
1st Rule of Probability: Basic Rule is what?
Even

40. Combined Events: Not E = P(not E) = ?
1 - P(E)
always try to factor
22
Sum of digits is multiple of 3 - last two digits multiple of 4.

41. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
$11 - 025
x(sq. rt 3) - x - 2x
market value
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

42. 30-60-90 triangle basic lengths of sides
2 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.
at least 3 steps
x(sq. rt 3) - x - 2x

43. Price sold for by retailer (after markup)
market value
The amount after deductions
The total amount before any deductions
P(E) + P(F) - P(E and F)

44. To determine the number of integers less than 5000 that are evenly divisible by 15...?
D or E
Divide 4999 by 15 => 333 integers
______ |m-n|
2 steps

45. 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
The probability of an event occurring plus the probability of the event not occurring = 1
Principal (1 + interest/number times compounded)^(t)(n)
22
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.

46. Formula for Mixed Group problems (involving Both/Neither)
s Sq. rt (x^r)
Figure out the probability for each individual event. Multiply the individual probabilities together.
Even
Group 1 + Group 2 + Neither - Both = Total

47. What does the Sum of the angles in a Regular Polygon formula look like?
Gross Profit = Selling Price - Cost
market value
180(n-2)
D or E

48. Formula for area of a Trapezoid
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)
n! / (n - r)!
(sum of bases)(height) / 2

49. Odd Factors
Odd numbers only have ___________
180(n-2)
y2 - y1 / x2 - x1
x(sq. rt 3) - x - 2x

50. Volume of a sphere
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Principal (1 + interest/number times compounded)^(t)(n)
Group 1 + Group 2 + Neither - Both = Total
4/3 TT r ^3