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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. Permutations: Order Matters
Odd
n! / (n - r)!
Sum of digits is multiple of 9
Balancing

2. gcd(m,n)
P(event NOT occurring) = 1 - P(event occurring)
______ |m-n|
1.7
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

3. What to do with equations that have fractions
3-4-5 - 5-12-13 - 9-12-15
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
12^3

4. How to check whether a number is a multiple of 4.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
16.6%
s Sq. rt (x^r)
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.

5. How to check whether a number is a multiple of 6
Immediately UNFACTOR or vice versa
3 - 6 - 9 - 12
Number is a multiple of 3 and 2
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

6. 2n - 2n+2 - 2n+4
Immediately try factoring/simplifying when possible
Odd
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Even

7. The average of consecutive numbers
market value
(total distance) / (total time)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
83.3%

8. How to find the slope.
Immediately UNFACTOR or vice versa
Purchase price
D or E
y2 - y1 / x2 - x1

9. Number added or deleted
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.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Odd numbers only have ___________
180(n-2)

10. Compound interest formula
Principal (1 + interest/number times compounded)^(t)(n)
Figure out the probability for each individual event. Multiply the individual probabilities together.
14 liters
Even

11. Percent increase = ?
P(E) + P(F) - P(E and F)
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
(amount of change) / (original amount)
3-4-5 - 5-12-13 - 9-12-15

12. In general - medium questions require how many steps to solve?
Sum of digits is multiple of 9
If the outcome of one event affects the outcome of the other event.
2 steps
______ |m-n|

13. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
P(event NOT occurring) = 1 - P(event occurring)
22
n! / (n - r)!
s Sq. rt (x^r)

14. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
The probability of event occurring is...
1st Rule of Probability: Basic Rule is what?
principle (interest rate - in decimal form) (time - in years)

15. When you see an equation in factored form in a question?
(total A) / (total B)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Immediately UNFACTOR or vice versa
22

16. (1/4)^2
1/16
Immediately try factoring/simplifying when possible
1 - P(E)
| A union B| = |A| + |B| - |A intersect B|

17. Indistinguishable events how to find the number of permutations

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18. How to check for a prime number.

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19. Three triangle length patterns
Figure out the probability for each individual event. Multiply the individual probabilities together.
Immediately UNFACTOR or vice versa
3-4-5 - 5-12-13 - 9-12-15
| A union B| = |A| + |B| - |A intersect B|

20. In general - difficult questions require how many steps to solve?
at least 3 steps
(n-1)!
______ |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.

21. Work problem rule
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.
P(E) + P(F) - P(E and F)
market value
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.

22. Properties of 0
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
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
(sum of bases)(height) / 2
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

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

24. Set Problems formula
12^3
s Sq. rt (x^r)
(total A) / (total B)
(x-n(n)y-n)

25. Triangle abc with d on the outside with a line. What does d = ?
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Exterior angle d is equal to the sum of the two remote interior angles a and b
(sum of bases)(height) / 2
Last two digits are multiple of 4 or the number can be divided by 2 twice.

26. Combined Events: E and F
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
14 liters
P(E)P(F)
The total amount before any deductions

27. How to check whether number is multiple of 9
1st Rule of Probability: Basic Rule is what?
Sum of digits is multiple of 9
4/3 TT r ^3
Divide 4999 by 15 => 333 integers

28. How do you multiply roots together.
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 number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
principle (interest rate - in decimal form) (time - in years)

29. Combined Events: E or F
x - x - x(sq. rt 2)
Odd
Sum of digits is multiple of 3
P(E) + P(F) - P(E and F)

30. 1/6 = what %
22
16.6%
______ |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.

31. Probability and Geometry.
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
14 liters
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
Sum of digits is multiple of 9

32. Gross
s Sq. rt (x^r)
The total amount before any deductions
p/100 = is/of
(x-n(n)y-n)

33. Price sold for by retailer (after markup)
market value
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
Last two digits are multiple of 4 or the number can be divided by 2 twice.
n! / (n - r)!

34. Intersecting Sets
| A union B| = |A| + |B| - |A intersect B|
(sum of bases)(height) / 2
2 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

35. Sum of consecutive numbers
Find all prime factors
sum = (average)(number of terms)
p/100 = is/of
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

36. How to find all divisors of a number
The amount after deductions
Find all prime factors
22
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

37. Formula for Mixed Group problems (involving Both/Neither)
principle (interest rate - in decimal form) (time - in years)
(# of favorable outcomes) / (# of possible outcomes)
Group 1 + Group 2 + Neither - Both = Total
$11 - 025

38. 3^3 x 4^3 = ?
3 - 6 - 9 - 12
12^3
Number is a multiple of 3 and 2
16.6%

39. What does the Sum of the angles in a Regular Polygon formula look like?
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
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.
180(n-2)
Find simple interest then look for the answer that is a little bigger

40. 5/6 = what %
(total A) / (total B)
83.3%
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
22

41. 30-60-90 triangle basic lengths of sides
The amount after deductions
x(sq. rt 3) - x - 2x
P(event NOT occurring) = 1 - P(event occurring)
1/16

42. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
14 liters
$11 - 025
1st Rule of Probability: Basic Rule is what?
Number is a multiple of 3 and 2

43. Sq. rt(2)
| A union B| = |A| + |B| - |A intersect B|
1.4
14 liters
x - x - x(sq. rt 2)

44. The number of outcomes that result in A divided by the total number of possible outcomes.
The probability of event occurring is...
1 - P(E)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
180(n-2)

45. Average Rate: Average speed
Gross Profit = Selling Price - Cost
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)
(total distance) / (total time)

46. 0! = ?
The probability of event occurring is...
(# of favorable outcomes) / (# of possible outcomes)
Exterior angle d is equal to the sum of the two remote interior angles a and b
1

47. Quadratic formula
Find all prime factors
3 - 6 - 9 - 12
-b +- sq. rt(b^2 - 4ac) / 2a
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

48. Net
s Sq. rt (x^r)
x(sq. rt 3) - x - 2x
The amount after deductions
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

49. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
(total distance) / (total time)
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.
83.3%
(n-1)!

50. Average Rate: Average A per B
(total A) / (total 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.
Immediately UNFACTOR or vice versa
Immediately try factoring/simplifying when possible