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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. 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.
1st Rule of Probability: Basic Rule is what?
at least 3 steps

2. In general - difficult questions require how many steps to solve?
22
at least 3 steps
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Exterior angle d is equal to the sum of the two remote interior angles a and b

3. Sq. rt(3)
1.7
market value
Find all prime factors
x(sq. rt 3) - x - 2x

4. How to check whether number is multiple of 9
Any multiplication involving an even number creates an even product.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Sum of digits is multiple of 9
180(n-2)

5. The number of outcomes that result in A divided by the total number of possible outcomes.
Find simple interest then look for the answer that is a little bigger
Sum of digits is multiple of 3
The probability of event occurring is...
s Sq. rt (x^r)

6. 2n+1 - 2n+3 - 2n+5
Odd
12.5%
Immediately try factoring/simplifying when possible
Odd numbers only have ___________

7. Inscribed Angle - Minor Arc
market value
Purchase price
Minor arc = 2(inscribed angle)
y2 - y1 / x2 - x1

8. Combined Events: Not E = P(not E) = ?
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
The amount after deductions
1 - P(E)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

9. Price purchased for by wholesaler
Purchase price
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.
Sum of digits is multiple of 3 - last two digits multiple of 4.
Divide 4999 by 15 => 333 integers

10. Average Rate: Average speed
Any multiplication involving an even number creates an even product.
Principal (1 + interest/number times compounded)^(t)(n)
Even
(total distance) / (total time)

11. 3rd Rule of Probability: Conditional Probability
Purchase price
Sum of digits is multiple of 3 - last two digits multiple of 4.
Gross Profit = Selling Price - Cost
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.

12. How to find all divisors of a number
Find all prime factors
Even
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Any multiplication involving an even number creates an even product.

13. 1/8 = what %
Sum of digits is multiple of 3
The total amount before any deductions
12.5%
(# of favorable outcomes) / (# of possible outcomes)

14. How to check whether a number is a multiple of 4.
D or E
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Sum of digits is multiple of 9
12^3

15. (1/4)^2
1/16
22
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
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.

16. Always try to factor
1/16
(x-n(n)y-n)
always try to factor
Purchase price

17. Intersecting Sets
Balancing
gcd(m,n)*lcm(m,n) = mn
| A union B| = |A| + |B| - |A intersect B|
12.5%

18. Prime Factorization to find Greatest Common Factor
83.3%
Divide 4999 by 15 => 333 integers
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
(n-1)!

19. In general - medium questions require how many steps to solve?
3 - 6 - 9 - 12
2 steps
83.3%
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

20. Compound interest formula
P(E) + P(F) - P(E and F)
Principal (1 + interest/number times compounded)^(t)(n)
1/16
Immediately UNFACTOR or vice versa

21. Average Rate: Average A per B
1/16
(total A) / (total B)
Figure out the probability for each individual event. Multiply the individual probabilities together.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

22. Three triangle length patterns
3-4-5 - 5-12-13 - 9-12-15
1
Immediately try factoring/simplifying when possible
Odd numbers only have ___________

23. How to check whether a number is a multiple of 12.
Sum of digits is multiple of 3 - last two digits multiple of 4.
gcd(m,n)*lcm(m,n) = mn
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)
Find simple interest then look for the answer that is a little bigger

24. 5/6 = what %
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Exterior angle d is equal to the sum of the two remote interior angles a and b
83.3%
1st Rule of Probability: Basic Rule is what?

25. To determine the number of integers less than 5000 that are evenly divisible by 15...?
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)
Divide 4999 by 15 => 333 integers
Purchase price
s Sq. rt (x^r)

26. To determine multiple-event probability where each individual event must occur in a certain way.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
1.7
Figure out the probability for each individual event. Multiply the individual probabilities together.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

27. How to find the slope.
The total amount before any deductions
0.15n + 0.08(5) = 0.1(n+5)
$11 - 025
y2 - y1 / x2 - x1

28. Percent Formula
p/100 = is/of
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Odd
(n-1)!

29. Net
The amount after deductions
______ |m-n|
(sum of bases)(height) / 2
(amount of change) / (original amount)

30. How do you multiply roots together.
1
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Immediately try factoring/simplifying when possible
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

31. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
Sum of digits is multiple of 9
Immediately UNFACTOR or vice versa
D or E
Any multiplication involving an even number creates an even product.

32. 1/6 = what %
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.
16.6%
2 steps
Odd

33. How to check whether a number is a multiple of 6
Number is a multiple of 3 and 2
P(E) + P(F) - P(E and F)
Find all prime factors
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

34. Odd Factors
The probability of event occurring is...
Odd numbers only have ___________
-b +- sq. rt(b^2 - 4ac) / 2a
(total distance) / (total time)

35. Lowest Common Multiple 60: 2 x 2 x 3 x 5 - 72: 2 x 2 x 2 x 3 x 3 - LCM: 2 x 2 x 2 x 3 x 3 x 5
Last two digits are multiple of 4 or the number can be divided by 2 twice.
1
Find simple interest then look for the answer that is a little bigger
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.

36. 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.
4/3 TT r ^3
Even
1.7
Organize into a grid.

37. The average of consecutive numbers
(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.
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
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

38. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
1st Rule of Probability: Basic Rule is what?
Find simple interest then look for the answer that is a little bigger
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

39. Work problem rule
P(E) + P(F) - P(E and F)
principle (interest rate - in decimal form) (time - in years)
Find all prime factors
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.

40. Combined Events: E and F
P(E)P(F)
Any multiplication involving an even number creates an even product.
(sum of bases)(height) / 2
Organize into a grid.

41. 3^3 x 4^3 = ?
12^3
Find all prime factors
180(n-2)
Odd

42. gcd(m,n)
$11 - 025
(x-n(n)y-n)
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)
______ |m-n|

43. Compound interest rule
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
Find simple interest then look for the answer that is a little bigger
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.

44. Trial Problems: look at the probability of NOT OCCURRING
1st Rule of Probability: Basic Rule is what?
P(event NOT occurring) = 1 - P(event occurring)
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.
Find simple interest then look for the answer that is a little bigger

45. 45-45-90 triangle basic lengths of sides
x - x - x(sq. rt 2)
always try to factor
The amount after deductions
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

46. 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.
always try to factor
(amount of change) / (original amount)
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)

47. 30-60-90 triangle basic lengths of sides
x(sq. rt 3) - x - 2x
347
Odd numbers only have ___________
y2 - y1 / x2 - x1

48. Price sold for by retailer (after markup)
Sum of digits is multiple of 3
market value
Odd
3-4-5 - 5-12-13 - 9-12-15

49. Gross
Purchase price
1st Rule of Probability: Basic Rule is what?
The total amount before any deductions
Gross Profit = Selling Price - Cost

50. Volume of a sphere
Purchase price
180(n-2)
4/3 TT r ^3
3 - 6 - 9 - 12