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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. Percent Formula
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
-b +- sq. rt(b^2 - 4ac) / 2a
p/100 = is/of
Balancing

2. Price purchased for by wholesaler
n! / (n - r)!
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Purchase price
Exterior angle d is equal to the sum of the two remote interior angles a and b

3. How to check whether a number is a multiple of 4.
p/100 = is/of
n! / (n - r)!
Last two digits are multiple of 4 or the number can be divided by 2 twice.
The total amount before any deductions

4. x^r/s = ?
2 steps
p/100 = is/of
The total amount before any deductions
s Sq. rt (x^r)

5. 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.
Sum of digits is multiple of 3
x - x - x(sq. rt 2)
1st Rule of Probability: Basic Rule is what?
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

6. How do you multiply roots together.
Exterior angle d is equal to the sum of the two remote interior angles a and b
sum = (average)(number of terms)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
(total distance) / (total time)

7. Compound interest formula
market value
-b +- sq. rt(b^2 - 4ac) / 2a
Principal (1 + interest/number times compounded)^(t)(n)
If the outcome of one event affects the outcome of the other event.

8. Odd and Even rule.
Any multiplication involving an even number creates an even product.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
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)
Last two digits are multiple of 4 or the number can be divided by 2 twice.

9. Set Problems formula
(# of favorable outcomes) / (# of possible outcomes)
(amount of change) / (original amount)
Any multiplication involving an even number creates an even product.
(x-n(n)y-n)

10. Sq. rt(2)
A = P(1 + r) ^n
3 - 6 - 9 - 12
y2 - y1 / x2 - x1
1.4

11. Odd Factors
(# of favorable outcomes) / (# of possible outcomes)
s Sq. rt (x^r)
Purchase price
Odd numbers only have ___________

12. To determine multiple-event probability where each individual event must occur in a certain way.
(# of favorable outcomes) / (# of possible outcomes)
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
p/100 = is/of
Figure out the probability for each individual event. Multiply the individual probabilities together.

13. Price sold for by retailer (after markup)
x(sq. rt 3) - x - 2x
Purchase price
market value
If the outcome of one event affects the outcome of the other event.

14. Percent increase = ?
Sum of digits is multiple of 3 - last two digits multiple of 4.
(amount of change) / (original amount)
12^3
Immediately UNFACTOR or vice versa

15. Three triangle length patterns
3-4-5 - 5-12-13 - 9-12-15
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
180(n-2)

16. 45-45-90 triangle basic lengths of sides
p/100 = is/of
P(E) + P(F) - P(E and F)
x - x - x(sq. rt 2)
2 steps

17. Combined Events: E or F
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.
at least 3 steps
P(E) + P(F) - P(E and F)
16.6%

18. Multiplication principle
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
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%
| A union B| = |A| + |B| - |A intersect B|

19. 30-60-90 triangle basic lengths of sides
180(n-2)
principle (interest rate - in decimal form) (time - in years)
D or E
x(sq. rt 3) - x - 2x

20. When you see an equation in factored form in a question?
Immediately UNFACTOR or vice versa
1/16
| A union B| = |A| + |B| - |A intersect B|
market value

21. Multiples of 3
1/16
1.7
3 - 6 - 9 - 12
y2 - y1 / x2 - x1

22. Combined Events: Not E = P(not E) = ?
Odd
Last two digits are multiple of 4 or the number can be divided by 2 twice.
1 - P(E)
1st Rule of Probability: Basic Rule is what?

23. 3^3 x 4^3 = ?
Purchase price
347
12^3
always try to factor

24. Combined Events: E and F
P(E)P(F)
3 - 6 - 9 - 12
Figure out the probability for each individual event. Multiply the individual probabilities together.
Sum of digits is multiple of 9

25. How to check whether number is multiple of 9
Sum of digits is multiple of 9
always try to factor
Purchase price
0.15n + 0.08(5) = 0.1(n+5)

26. 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
$11 - 025
n! / (n - r)!
Balancing
Organize into a grid.

27. Properties of 0
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
principle (interest rate - in decimal form) (time - in years)
1.7
Last two digits are multiple of 4 or the number can be divided by 2 twice.

28. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
$11 - 025
3 - 6 - 9 - 12
Find simple interest then look for the answer that is a little bigger

29. Sq. rt(3)
Principal (1 + interest/number times compounded)^(t)(n)
Number is a multiple of 3 and 2
347
1.7

30. What to do with equations that have fractions
(sum of bases)(height) / 2
Immediately try factoring/simplifying when possible
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
Even

31. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
market value
$11 - 025
83.3%
(sum of bases)(height) / 2

32. 5/6 = what %
x - x - x(sq. rt 2)
83.3%
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
market value

33. Formula for Mixed Group problems (involving Both/Neither)
Group 1 + Group 2 + Neither - Both = Total
| A union B| = |A| + |B| - |A intersect B|
Odd numbers only have ___________
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

34. Formula for area of a Trapezoid
P(event NOT occurring) = 1 - P(event occurring)
1.7
(sum of bases)(height) / 2
s Sq. rt (x^r)

35. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
If the outcome of one event affects the outcome of the other event.
D or E
180(n-2)
(total A) / (total B)

36. How to check whether a number is a multiple of 3.
A = P(1 + r) ^n
Balancing
Sum of digits is multiple of 3
market value

37. 2n+1 - 2n+3 - 2n+5
gcd(m,n)*lcm(m,n) = mn
The amount after deductions
Odd
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.

38. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
Organize into a grid.
Odd
1.7

39. In general - difficult questions require how many steps to solve?
at least 3 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
(amount of change) / (original amount)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

40. How to find all divisors of a number
Find all prime factors
market value
Last two digits are multiple of 4 or the number can be divided by 2 twice.
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.

41. How to check for a prime number.

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42. 1/8 = what %
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
x - x - x(sq. rt 2)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
12.5%

43. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
3-4-5 - 5-12-13 - 9-12-15
(# of favorable outcomes) / (# of possible outcomes)
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.

44. Net
22
The amount after deductions
2 steps
p/100 = is/of

45. The number of ways independent events can occur 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 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
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

46. Intersecting Sets
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.
| A union B| = |A| + |B| - |A intersect B|
(n-1)!
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

47. Number added or deleted
principle (interest rate - in decimal form) (time - in years)
Group 1 + Group 2 + Neither - Both = 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.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

48. Average Rate: Average A per B
Find simple interest then look for the answer that is a little bigger
(total A) / (total B)
Sum of digits is multiple of 3 - last two digits multiple of 4.
Organize into a grid.

49. (1/4)^2
1/16
$11 - 025
83.3%
Any multiplication involving an even number creates an even product.

50. Triangle abc with d on the outside with a line. What does d = ?
Exterior angle d is equal to the sum of the two remote interior angles a and b
(sum of bases)(height) / 2
The probability of event occurring is...
Sum of digits is multiple of 3 - last two digits multiple of 4.