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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. How to check whether number is multiple of 9
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
83.3%
Sum of digits is multiple of 9
1

2. The average of consecutive numbers
347
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
market value
Figure out the probability for each individual event. Multiply the individual probabilities together.

3. Intersecting Sets
p/100 = is/of
x(sq. rt 3) - x - 2x
Figure out the probability for each individual event. Multiply the individual probabilities together.
| A union B| = |A| + |B| - |A intersect B|

4. Formula for area of a Trapezoid
P(E)P(F)
14 liters
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
(sum of bases)(height) / 2

5. Work problem rule
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
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.
market value

6. Quadratic formula
Organize into a grid.
Figure out the probability for each individual event. Multiply the individual probabilities together.
The probability of event occurring is...
-b +- sq. rt(b^2 - 4ac) / 2a

7. 1/6 = what %
gcd(m,n)*lcm(m,n) = mn
16.6%
Balancing
y2 - y1 / x2 - x1

8. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
14 liters
1st Rule of Probability: Basic Rule is what?
principle (interest rate - in decimal form) (time - in years)
The total amount before any deductions

9. How to find the slope.
Sum of digits is multiple of 3 - last two digits multiple of 4.
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.
3-4-5 - 5-12-13 - 9-12-15
y2 - y1 / x2 - x1

10. Indistinguishable events how to find the number of permutations

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11. 4th rule of Probability
Minor arc = 2(inscribed angle)
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)
14 liters
at least 3 steps

12. 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.
Find simple interest then look for the answer that is a little bigger
The probability of an event occurring plus the probability of the event not occurring = 1
Organize into a grid.
-b +- sq. rt(b^2 - 4ac) / 2a

13. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
Immediately try factoring/simplifying when possible
Find all prime factors
______ |m-n|

14. Percent increase = ?
Gross Profit = Selling Price - Cost
(amount of change) / (original amount)
p/100 = is/of
12^3

15. Compound interest rule
Find simple interest then look for the answer that is a little bigger
Divide 4999 by 15 => 333 integers
The total amount before any deductions
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

16. Percent Formula
p/100 = is/of
(total distance) / (total time)
Divide 4999 by 15 => 333 integers
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

17. Multiples of 3
3 - 6 - 9 - 12
Balancing
1.4
(x-n(n)y-n)

18. Combined Events: Not E = P(not E) = ?
Sum of digits is multiple of 3 - last two digits multiple of 4.
The amount after deductions
1 - P(E)
P(E) + P(F) - P(E and F)

19. Odd Factors
Odd numbers only have ___________
0.15n + 0.08(5) = 0.1(n+5)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Principal (1 + interest/number times compounded)^(t)(n)

20. How do you multiply roots together.
14 liters
Divide 4999 by 15 => 333 integers
Find simple interest then look for the answer that is a little bigger
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

21. Triangle abc with d on the outside with a line. What does d = ?
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.
Exterior angle d is equal to the sum of the two remote interior angles a and b
1 - P(E)
A = P(1 + r) ^n

22. 1/8 = what %
16.6%
12.5%
4/3 TT r ^3
Number is a multiple of 3 and 2

23. When you see an equation in factored form in a question?
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.
-b +- sq. rt(b^2 - 4ac) / 2a
Immediately UNFACTOR or vice versa

24. Price sold for by retailer (after markup)
1.7
If the outcome of one event affects the outcome of the other event.
market value
The probability of an event occurring plus the probability of the event not occurring = 1

25. Compound interest formula
Principal (1 + interest/number times compounded)^(t)(n)
Exterior angle d is equal to the sum of the two remote interior angles a and b
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 amount after deductions

26. Sq. rt(2)
at least 3 steps
1.4
gcd(m,n)*lcm(m,n) = mn
P(event NOT occurring) = 1 - P(event occurring)

27. Gross Profit formula
principle (interest rate - in decimal form) (time - in years)
Gross Profit = Selling Price - Cost
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)
16.6%

28. Sum of consecutive numbers
Immediately try factoring/simplifying when possible
sum = (average)(number of terms)
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 number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

29. Average Rate: Average speed
Sum of digits is multiple of 9
(total distance) / (total time)
D or E
1 - P(E)

30. 2n+1 - 2n+3 - 2n+5
Odd
______ |m-n|
P(E) + P(F) - P(E and F)
Immediately try factoring/simplifying when possible

31. Always try to factor
n! / (n - r)!
1.4
always try to factor
Immediately UNFACTOR or vice versa

32. Prime Factorization to find Greatest Common Factor
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)
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.
x(sq. rt 3) - x - 2x
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

33. How to find all divisors of a number
Odd
gcd(m,n)*lcm(m,n) = mn
Gross Profit = Selling Price - Cost
Find all prime factors

34. Dependent events: When are two events said to be dependent events?
(total A) / (total B)
(total distance) / (total time)
If the outcome of one event affects the outcome of the other event.
Gross Profit = Selling Price - Cost

35. How to check whether a number is a multiple of 4.
Odd numbers only have ___________
Last two digits are multiple of 4 or the number can be divided by 2 twice.
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.
x - x - x(sq. rt 2)

36. What does the Sum of the angles in a Regular Polygon formula look like?
Find all prime factors
______ |m-n|
A = P(1 + r) ^n
180(n-2)

37. x^r/s = ?
Odd numbers only have ___________
s Sq. rt (x^r)
(total distance) / (total time)
Even

38. Three triangle length patterns
3-4-5 - 5-12-13 - 9-12-15
Find all prime factors
p/100 = is/of
| A union B| = |A| + |B| - |A intersect B|

39. Combined Events: E and F
Balancing
1/16
P(E)P(F)
Sum of digits is multiple of 9

40. Multiplication principle
Purchase price
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
Find all prime factors
Group 1 + Group 2 + Neither - Both = Total

41. Simple probability
83.3%
1.7
market value
(# of favorable outcomes) / (# of possible outcomes)

42. 0! = ?
1
Organize into a grid.
Odd numbers only have ___________
(n-1)!

43. 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?
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.
gcd(m,n)*lcm(m,n) = mn
Group 1 + Group 2 + Neither - Both = Total
0.15n + 0.08(5) = 0.1(n+5)

44. Combined Events: E or F
P(E) + P(F) - P(E and F)
______ |m-n|
x(sq. rt 3) - x - 2x
sum = (average)(number of terms)

45. 45-45-90 triangle basic lengths of sides
83.3%
x - x - x(sq. rt 2)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
1st Rule of Probability: Basic Rule is what?

46. Properties of 0
Purchase price
1.7
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

47. 5/6 = what %
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
83.3%
Number is a multiple of 3 and 2
Divide 4999 by 15 => 333 integers

48. In general - difficult questions require how many steps to solve?
______ |m-n|
at least 3 steps
Even
Principal (1 + interest/number times compounded)^(t)(n)

49. 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
Divide 4999 by 15 => 333 integers
(amount of change) / (original amount)
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
Balancing

50. Price purchased for by wholesaler
12^3
Purchase price
1 - P(E)
______ |m-n|