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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. Gross Profit formula
(n-1)!
Odd numbers only have ___________
(sum of bases)(height) / 2
Gross Profit = Selling Price - Cost

2. Work problem rule
347
22
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.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

3. Sq. rt(2)
-b +- sq. rt(b^2 - 4ac) / 2a
market value
14 liters
1.4

4. Percent increase = ?
3-4-5 - 5-12-13 - 9-12-15
(amount of change) / (original amount)
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|

5. Dependent events: When are two events said to be dependent events?
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
If the outcome of one event affects the outcome of the other event.
principle (interest rate - in decimal form) (time - in years)
3-4-5 - 5-12-13 - 9-12-15

6. How to check whether number is multiple of 9
$11 - 025
Sum of digits is multiple of 9
Even
A = P(1 + r) ^n

7. Compound interest rule
Find simple interest then look for the answer that is a little bigger
If the outcome of one event affects the outcome of the other event.
12^3
P(E) + P(F) - P(E and F)

8. Permutations: Order Matters
Group 1 + Group 2 + Neither - Both = Total
n! / (n - r)!
The probability of event occurring is...
Odd

9. How to check whether a number is a multiple of 3.
12.5%
Sum of digits is multiple of 3
4/3 TT r ^3
3-4-5 - 5-12-13 - 9-12-15

10. Set Problems formula
(x-n(n)y-n)
-b +- sq. rt(b^2 - 4ac) / 2a
p/100 = is/of
Odd

11. 3^3 x 4^3 = ?
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.
12^3
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Immediately try factoring/simplifying when possible

12. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
(x-n(n)y-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.

13. Percent Formula
p/100 = is/of
The probability of event occurring is...
1
-b +- sq. rt(b^2 - 4ac) / 2a

14. 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?
(x-n(n)y-n)
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
0.15n + 0.08(5) = 0.1(n+5)

15. How to check for a prime number.

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16. Gross
12.5%
16.6%
The total amount before any deductions
Odd

17. Combined Events: E or F
P(E) + P(F) - P(E and F)
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.
3-4-5 - 5-12-13 - 9-12-15
The amount after deductions

18. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
Odd
Sum of digits is multiple of 3 - last two digits multiple of 4.
P(E) + P(F) - P(E and F)
principle (interest rate - in decimal form) (time - in years)

19. How do you multiply roots together.
0.15n + 0.08(5) = 0.1(n+5)
If the outcome of one event affects the outcome of the other event.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Last two digits are multiple of 4 or the number can be divided by 2 twice.

20. 2n+1 - 2n+3 - 2n+5
P(E)P(F)
Find simple interest then look for the answer that is a little bigger
Odd
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

21. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
1st Rule of Probability: Basic Rule is what?
Balancing
The amount after deductions
(n-1)!

22. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Divide 4999 by 15 => 333 integers
2 steps
P(E) + P(F) - P(E and F)
Find all prime factors

23. Prime Factorization to find Greatest Common Factor
Odd numbers only have ___________
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
A = P(1 + r) ^n
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

24. The average of consecutive numbers
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
1
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
D or E

25. 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.
1.4
sum = (average)(number of terms)
1.7
Organize into a grid.

26. What to do with equations that have fractions
(# of favorable outcomes) / (# of possible outcomes)
Immediately try factoring/simplifying when possible
always try to factor
1.7

27. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
The total amount before any deductions
347
4/3 TT r ^3
Even

28. 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?
14 liters
1 - P(E)
Odd numbers only have ___________
1/16

29. 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
Odd
Balancing
22
The total amount before any deductions

30. 1/8 = what %
at least 3 steps
Find simple interest then look for the answer that is a little bigger
12.5%
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

31. Multiplication principle
gcd(m,n)*lcm(m,n) = mn
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
Group 1 + Group 2 + Neither - Both = 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

32. Number added or deleted
Odd
(# of favorable outcomes) / (# of possible outcomes)
(total A) / (total B)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

33. Simple probability
(# of favorable outcomes) / (# of possible outcomes)
A = P(1 + r) ^n
gcd(m,n)*lcm(m,n) = mn
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.

34. Three triangle length patterns
(# of favorable outcomes) / (# of possible outcomes)
Odd
Any multiplication involving an even number creates an even product.
3-4-5 - 5-12-13 - 9-12-15

35. 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.
Immediately UNFACTOR or vice versa
14 liters
347

36. Net
Balancing
Principal (1 + interest/number times compounded)^(t)(n)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
The amount after deductions

37. 4th rule of 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.
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)
347
Group 1 + Group 2 + Neither - Both = Total

38. Probability and Geometry.
12.5%
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 3 - last two digits multiple of 4.
Group 1 + Group 2 + Neither - Both = Total

39. 2nd Rule of Probability: P(E) = 1 - P(not E)
The probability of an event occurring plus the probability of the event not occurring = 1
Last two digits are multiple of 4 or the number can be divided by 2 twice.
x - x - x(sq. rt 2)
1

40. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
22
Number is a multiple of 3 and 2
The probability of an event occurring plus the probability of the event not occurring = 1
$11 - 025

41. 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.
1st Rule of Probability: Basic Rule is what?
principle (interest rate - in decimal form) (time - in years)
Any multiplication involving an even number creates an even product.
______ |m-n|

42. In general - medium questions require how many steps to solve?
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 3 - last two digits multiple of 4.
(n-1)!
2 steps

43. Combined Events: Not E = P(not E) = ?
1/16
sum = (average)(number of terms)
| A union B| = |A| + |B| - |A intersect B|
1 - P(E)

44. Multiples of 3
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
(sum of bases)(height) / 2
3 - 6 - 9 - 12

45. Formula for area of a Trapezoid
Immediately try factoring/simplifying when possible
Odd numbers only have ___________
(sum of bases)(height) / 2
Sum of digits is multiple of 3 - last two digits multiple of 4.

46. Properties of 0
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
22
Figure out the probability for each individual event. Multiply the individual probabilities together.
3-4-5 - 5-12-13 - 9-12-15

47. Intersecting Sets
Immediately try factoring/simplifying when possible
gcd(m,n)*lcm(m,n) = mn
Any multiplication involving an even number creates an even product.
| A union B| = |A| + |B| - |A intersect B|

48. 0! = ?
s Sq. rt (x^r)
1
A = P(1 + r) ^n
Number is a multiple of 3 and 2

49. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
(sum of bases)(height) / 2
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.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
D or E

50. Odd Factors
(sum of bases)(height) / 2
Odd numbers only have ___________
A = P(1 + r) ^n
The total amount before any deductions