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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 find the slope.
Immediately try factoring/simplifying when possible
y2 - y1 / x2 - x1
P(E) + P(F) - P(E and F)
p/100 = is/of

2. Compound interest rule
gcd(m,n)*lcm(m,n) = mn
Find simple interest then look for the answer that is a little bigger
Any multiplication involving an even number creates an even product.
P(E)P(F)

3. 2n - 2n+2 - 2n+4
D or E
1 - P(E)
Even
Figure out the probability for each individual event. Multiply the individual probabilities together.

4. Odd Factors
Exterior angle d is equal to the sum of the two remote interior angles a and b
2 steps
1 - P(E)
Odd numbers only have ___________

5. Average Rate: Average speed
(total distance) / (total time)
The probability of an event occurring plus the probability of the event not occurring = 1
4/3 TT r ^3
Organize into a grid.

6. 1/8 = what %
3-4-5 - 5-12-13 - 9-12-15
(# of favorable outcomes) / (# of possible outcomes)
Odd numbers only have ___________
12.5%

7. The average of consecutive numbers
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
(x-n(n)y-n)
$11 - 025
14 liters

8. How to find all divisors of a number
(x-n(n)y-n)
Find all prime factors
Balancing
Any multiplication involving an even number creates an even product.

9. How to check for a prime number.

10. Triangle abc with d on the outside with a line. What does d = ?
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
Exterior angle d is equal to the sum of the two remote interior angles a and b
principle (interest rate - in decimal form) (time - in years)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

11. 3^3 x 4^3 = ?
(x-n(n)y-n)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
1
12^3

12. Compound interest formula
Find simple interest then look for the answer that is a little bigger
Principal (1 + interest/number times compounded)^(t)(n)
$11 - 025
16.6%

13. How to check whether a number is a multiple of 4.
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 probability of event occurring is...
Last two digits are multiple of 4 or the number can be divided by 2 twice.
12^3

14. 45-45-90 triangle basic lengths of sides
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
x - x - x(sq. rt 2)
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 A) / (total B)

15. 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.
Group 1 + Group 2 + Neither - Both = Total
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.
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
Organize into a grid.

16. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
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
Sum of digits is multiple of 3
(n-1)!

17. Price purchased for by wholesaler
Organize into a grid.
Figure out the probability for each individual event. Multiply the individual probabilities together.
Purchase price
22

18. When you see an equation in factored form in a question?
Immediately UNFACTOR or vice versa
Purchase price
Principal (1 + interest/number times compounded)^(t)(n)
principle (interest rate - in decimal form) (time - in years)

19. 2nd Rule of Probability: P(E) = 1 - P(not E)
(# of favorable outcomes) / (# of possible outcomes)
Minor arc = 2(inscribed angle)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
The probability of an event occurring plus the probability of the event not occurring = 1

20. Price sold for by retailer (after markup)
Sum of digits is multiple of 3
market value
1 - P(E)
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.

21. Sq. rt(3)
1.7
Even
Sum of digits is multiple of 3
1.4

22. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
Immediately UNFACTOR or vice versa
P(E) + P(F) - P(E and F)
22
4/3 TT r ^3

23. Sq. rt(2)
Odd
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
1.4

24. Prime Factorization to find Greatest Common Factor
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
gcd(m,n)*lcm(m,n) = mn
p/100 = is/of

25. Probability and Geometry.
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
The probability of event occurring is...
83.3%
Figure out the probability for each individual event. Multiply the individual probabilities together.

26. 2n+1 - 2n+3 - 2n+5
1
Odd
3 - 6 - 9 - 12
Even

27. gcd(m,n)*lcm(m,n)
Figure out the probability for each individual event. Multiply the individual probabilities together.
gcd(m,n)*lcm(m,n) = mn
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.
always try to factor

28. 0! = ?
347
1
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.
22

29. What to do with equations that have fractions
0.15n + 0.08(5) = 0.1(n+5)
y2 - y1 / x2 - x1
P(E) + P(F) - P(E and F)
Immediately try factoring/simplifying when possible

30. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
(total A) / (total B)
P(E)P(F)
x - x - x(sq. rt 2)

31. gcd(m,n)
______ |m-n|
Even
Find simple interest then look for the answer that is a little bigger
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

32. In general - difficult questions require how many steps to solve?
at least 3 steps
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
The probability of event occurring is...
s Sq. rt (x^r)

33. Intersecting Sets
| A union B| = |A| + |B| - |A intersect B|
Sum of digits is multiple of 3
gcd(m,n)*lcm(m,n) = mn
Sum of digits is multiple of 3 - last two digits multiple of 4.

34. How to check whether a number is a multiple of 12.
Gross Profit = Selling Price - Cost
(n-1)!
Figure out the probability for each individual event. Multiply the individual probabilities together.
Sum of digits is multiple of 3 - last two digits multiple of 4.

35. Properties of 0
12^3
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

36. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
1st Rule of Probability: Basic Rule is what?
A = P(1 + r) ^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.
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

37. Gross
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 total amount before any deductions
Any multiplication involving an even number creates an even product.

38. 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.
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
1.4
The probability of event occurring is...

39. Inscribed Angle - Minor Arc
Number is a multiple of 3 and 2
$11 - 025
Minor arc = 2(inscribed angle)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

40. 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.
Gross Profit = Selling Price - Cost
Principal (1 + interest/number times compounded)^(t)(n)
1st Rule of Probability: Basic Rule is what?
347

41. To determine the number of integers less than 5000 that are evenly divisible by 15...?
market value
-b +- sq. rt(b^2 - 4ac) / 2a
Divide 4999 by 15 => 333 integers
The probability of event occurring is...

42. Formula for area of a Trapezoid
Sum of digits is multiple of 3 - last two digits multiple of 4.
(sum of bases)(height) / 2
Figure out the probability for each individual event. Multiply the individual probabilities together.
Immediately UNFACTOR or vice versa

43. Odd and Even rule.
Any multiplication involving an even number creates an even product.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
3-4-5 - 5-12-13 - 9-12-15
$11 - 025

44. Multiplication principle
14 liters
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 simple interest then look for the answer that is a little bigger
x - x - x(sq. rt 2)

45. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
180(n-2)
Gross Profit = Selling Price - Cost
principle (interest rate - in decimal form) (time - in years)
at least 3 steps

46. How to check whether a number is a multiple of 6
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
Exterior angle d is equal to the sum of the two remote interior angles a and b
Number is a multiple of 3 and 2
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

47. (1/4)^2
Gross Profit = Selling Price - Cost
Principal (1 + interest/number times compounded)^(t)(n)
1/16
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.

48. 3rd Rule of Probability: Conditional 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.
(# of favorable outcomes) / (# of possible outcomes)
1st Rule of Probability: Basic Rule is what?
A = P(1 + r) ^n

49. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
22
principle (interest rate - in decimal form) (time - in years)
x(sq. rt 3) - x - 2x
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

50. 4th rule of Probability
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. 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.
Minor arc = 2(inscribed angle)
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