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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. When you see an equation in factored form in a question?
1st Rule of Probability: Basic Rule is what?
Immediately UNFACTOR or vice versa
$11 - 025
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.

2. Quadratic formula
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)
1/16
-b +- sq. rt(b^2 - 4ac) / 2a
1

3. Compound interest rule
Exterior angle d is equal to the sum of the two remote interior angles a and b
x - x - x(sq. rt 2)
Divide 4999 by 15 => 333 integers
Find simple interest then look for the answer that is a little bigger

4. How to find the slope.
D or E
16.6%
y2 - y1 / x2 - x1
x - x - x(sq. rt 2)

5. Formula for area of a Trapezoid
x(sq. rt 3) - x - 2x
12.5%
Minor arc = 2(inscribed angle)
(sum of bases)(height) / 2

6. Sum of consecutive numbers
Purchase price
Organize into a grid.
sum = (average)(number of terms)
always try to factor

7. 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?
Find simple interest then look for the answer that is a little bigger
347
0.15n + 0.08(5) = 0.1(n+5)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

8. Prime Factorization to find Greatest Common Factor
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
p/100 = is/of
n! / (n - r)!
principle (interest rate - in decimal form) (time - in years)

9. Price sold for by retailer (after markup)
market value
principle (interest rate - in decimal form) (time - in years)
$11 - 025
347

10. How to check whether a number is a multiple of 6
principle (interest rate - in decimal form) (time - in years)
Number is a multiple of 3 and 2
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.

11. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
The probability of an event occurring plus the probability of the event not occurring = 1
(total A) / (total B)
22
1.4

12. Combined Events: E or F
The total amount before any deductions
(total A) / (total B)
sum = (average)(number of terms)
P(E) + P(F) - P(E and F)

13. Indistinguishable events how to find the number of permutations

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14. Odd and Even rule.
P(E)P(F)
Any multiplication involving an even number creates an even product.
x(sq. rt 3) - x - 2x
Minor arc = 2(inscribed angle)

15. Percent increase = ?
(amount of change) / (original amount)
s Sq. rt (x^r)
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)
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

16. Gross Profit formula
Immediately try factoring/simplifying when possible
Last two digits are multiple of 4 or the number can be divided by 2 twice.
principle (interest rate - in decimal form) (time - in years)
Gross Profit = Selling Price - Cost

17. 2nd Rule of Probability: P(E) = 1 - P(not E)
Find simple interest then look for the answer that is a little bigger
Divide 4999 by 15 => 333 integers
Organize into a grid.
The probability of an event occurring plus the probability of the event not occurring = 1

18. What does the Sum of the angles in a Regular Polygon formula look like?
______ |m-n|
22
Odd numbers only have ___________
180(n-2)

19. Multiples of 3
$11 - 025
3 - 6 - 9 - 12
P(event NOT occurring) = 1 - P(event occurring)
22

20. Price purchased for by wholesaler
at least 3 steps
$11 - 025
Purchase price
always try to factor

21. The number of outcomes that result in A divided by the total number of possible outcomes.
The probability of event occurring is...
Sum of digits is multiple of 3 - last two digits multiple of 4.
(x-n(n)y-n)
Any multiplication involving an even number creates an even product.

22. In general - medium questions require how many steps to solve?
A = P(1 + r) ^n
83.3%
2 steps
P(E)P(F)

23. Triangle abc with d on the outside with a line. What does d = ?
Find all prime factors
Exterior angle d is equal to the sum of the two remote interior angles a and b
16.6%
sum = (average)(number of terms)

24. Gross
The total amount before any deductions
22
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
The probability of event occurring is...

25. 2n+1 - 2n+3 - 2n+5
at least 3 steps
Organize into a grid.
(total distance) / (total time)
Odd

26. Sq. rt(2)
The probability of an event occurring plus the probability of the event not occurring = 1
1.4
(sum of bases)(height) / 2
83.3%

27. Dependent events: When are two events said to be dependent events?
12.5%
sum = (average)(number of terms)
If the outcome of one event affects the outcome of the other event.
Odd numbers only have ___________

28. The number of ways independent events can occur together.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Odd
| A union B| = |A| + |B| - |A intersect B|
180(n-2)

29. Three triangle length patterns
If the outcome of one event affects the outcome of the other event.
3-4-5 - 5-12-13 - 9-12-15
Figure out the probability for each individual event. Multiply the individual probabilities together.
Number is a multiple of 3 and 2

30. How to check whether a number is a multiple of 4.
Find simple interest then look for the answer that is a little bigger
83.3%
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Last two digits are multiple of 4 or the number can be divided by 2 twice.

31. 2n - 2n+2 - 2n+4
If the outcome of one event affects the outcome of the other event.
Even
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

32. How many liters of a solution that is 10% alcohol by volume must be added to 2 liters of a solution that is 50% alcohol by volume to create a solution that is 15% alcohol by volume?
Sum of digits is multiple of 3
14 liters
3-4-5 - 5-12-13 - 9-12-15
sum = (average)(number of terms)

33. gcd(m,n)*lcm(m,n)
Divide 4999 by 15 => 333 integers
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
1.7
gcd(m,n)*lcm(m,n) = mn

34. Volume of a sphere
(amount of change) / (original amount)
4/3 TT r ^3
always try to factor
gcd(m,n)*lcm(m,n) = mn

35. Percent Formula
p/100 = is/of
12^3
3-4-5 - 5-12-13 - 9-12-15
1 - P(E)

36. x^r/s = ?
s Sq. rt (x^r)
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
14 liters
Sum of digits is multiple of 9

37. 5/6 = what %
| A union B| = |A| + |B| - |A intersect B|
market value
83.3%
Gross Profit = Selling Price - Cost

38. The average of consecutive numbers
______ |m-n|
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 occurring is...
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

39. 0! = ?
The probability of event occurring is...
(total distance) / (total time)
2 steps
1

40. Multiplication principle
(x-n(n)y-n)
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
always try to factor
market value

41. 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)
The total amount before any deductions
3-4-5 - 5-12-13 - 9-12-15
n! / (n - r)!

42. Average Rate: Average speed
(total distance) / (total time)
Sum of digits is multiple of 3
1st Rule of Probability: Basic Rule is what?
1.7

43. Combined Events: Not E = P(not E) = ?
3 - 6 - 9 - 12
Minor arc = 2(inscribed angle)
at least 3 steps
1 - P(E)

44. Number added or deleted
P(E) + P(F) - P(E and F)
1 - P(E)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
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.

45. What to do with equations that have fractions
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)
s Sq. rt (x^r)
Sum of digits is multiple of 9
Immediately try factoring/simplifying when possible

46. 3^3 x 4^3 = ?
12^3
The amount after deductions
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)
Find simple interest then look for the answer that is a little bigger

47. Formula for Mixed Group problems (involving Both/Neither)
Sum of digits is multiple of 3 - last two digits multiple of 4.
Group 1 + Group 2 + Neither - Both = Total
Any multiplication involving an even number creates an even product.
180(n-2)

48. Trial Problems: look at the probability of NOT OCCURRING
Gross Profit = Selling Price - Cost
P(event NOT occurring) = 1 - P(event occurring)
12^3
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.

49. Odd Factors
Odd numbers only have ___________
s Sq. rt (x^r)
The total amount before any deductions
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.

50. (1/4)^2
180(n-2)
1/16
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
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.