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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. 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
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.
180(n-2)
1/16
4/3 TT r ^3

2. Compound interest rule
Figure out the probability for each individual event. Multiply the individual probabilities together.
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
Find simple interest then look for the answer that is a little bigger
(amount of change) / (original amount)

3. Three triangle length patterns
347
0.15n + 0.08(5) = 0.1(n+5)
3-4-5 - 5-12-13 - 9-12-15
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.

4. 1/6 = what %
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.
1
12^3
16.6%

5. Multiplication principle
Balancing
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%
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

6. Trial Problems: look at the probability of NOT OCCURRING
(amount of change) / (original amount)
Odd
The total amount before any deductions
P(event NOT occurring) = 1 - P(event occurring)

7. 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.
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.
(x-n(n)y-n)
2 steps
1st Rule of Probability: Basic Rule is what?

8. How to find all divisors of a number
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.
12^3
| A union B| = |A| + |B| - |A intersect B|
Find all prime factors

9. Multiples of 3
Immediately UNFACTOR or vice versa
3 - 6 - 9 - 12
Gross Profit = Selling Price - Cost
3-4-5 - 5-12-13 - 9-12-15

10. 0! = ?
always try to factor
Group 1 + Group 2 + Neither - Both = Total
1
Find all prime factors

11. Properties of 0
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.
$11 - 025
Group 1 + Group 2 + Neither - Both = Total

12. Combined Events: E or F
Find all prime factors
P(E) + P(F) - P(E and F)
Even
3 - 6 - 9 - 12

13. Sum of consecutive numbers
Minor arc = 2(inscribed angle)
market value
at least 3 steps
sum = (average)(number of terms)

14. Net
The amount after deductions
Minor arc = 2(inscribed angle)
Immediately UNFACTOR or vice versa
(sum of bases)(height) / 2

15. How to check whether number is multiple of 9
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Sum of digits is multiple of 9
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

16. Set Problems formula
principle (interest rate - in decimal form) (time - in years)
The total amount before any deductions
(x-n(n)y-n)
Group 1 + Group 2 + Neither - Both = Total

17. 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.
1 - P(E)
2 steps
14 liters

18. 1/8 = what %
Odd
Gross Profit = Selling Price - Cost
12.5%
(sum of bases)(height) / 2

19. How do you multiply roots together.
______ |m-n|
Sum of digits is multiple of 9
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
y2 - y1 / x2 - x1

20. How to find the slope.
y2 - y1 / x2 - x1
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Sum of digits is multiple of 3 - last two digits multiple of 4.
(amount of change) / (original amount)

21. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
Odd
If the outcome of one event affects the outcome of the other event.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
$11 - 025

22. Average Rate: Average A per B
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
(total A) / (total B)
1st Rule of Probability: Basic Rule is what?
Divide 4999 by 15 => 333 integers

23. The number of ways independent events can occur together.
Principal (1 + interest/number times compounded)^(t)(n)
Find all prime factors
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
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.

24. Sq. rt(3)
(# of favorable outcomes) / (# of possible outcomes)
1.7
1st Rule of Probability: Basic Rule is what?
3-4-5 - 5-12-13 - 9-12-15

25. Gross
Divide 4999 by 15 => 333 integers
(total A) / (total B)
347
The total amount before any deductions

26. 2nd Rule of Probability: P(E) = 1 - P(not E)
Principal (1 + interest/number times compounded)^(t)(n)
x - x - x(sq. rt 2)
Minor arc = 2(inscribed angle)
The probability of an event occurring plus the probability of the event not occurring = 1

27. Combined Events: E and F
P(E)P(F)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
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 the outcome of one event affects the outcome of the other event.

28. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
Odd numbers only have ___________
D or E
______ |m-n|
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

29. 2n+1 - 2n+3 - 2n+5
Exterior angle d is equal to the sum of the two remote interior angles a and b
(x-n(n)y-n)
83.3%
Odd

30. When you see an equation in factored form in a question?
(total distance) / (total time)
Gross Profit = Selling Price - Cost
Immediately UNFACTOR or vice versa
12.5%

31. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
Exterior angle d is equal to the sum of the two remote interior angles a and b
Principal (1 + interest/number times compounded)^(t)(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)

32. The number of outcomes that result in A divided by the total number of possible outcomes.
Group 1 + Group 2 + Neither - Both = Total
The probability of event occurring is...
Find all prime factors
The amount after deductions

33. Intersecting Sets
(x-n(n)y-n)
The amount after deductions
A = P(1 + r) ^n
| A union B| = |A| + |B| - |A intersect B|

34. 5/6 = what %
83.3%
Gross Profit = Selling Price - Cost
The probability of event occurring is...
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.

35. How to check whether a number is a multiple of 4.
1 - P(E)
2 steps
Last two digits are multiple of 4 or the number can be divided by 2 twice.
x(sq. rt 3) - x - 2x

36. How to check for a prime number.

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37. Permutations: Order Matters
P(E) + P(F) - P(E and F)
Immediately try factoring/simplifying when possible
n! / (n - r)!
Last two digits are multiple of 4 or the number can be divided by 2 twice.

38. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
principle (interest rate - in decimal form) (time - in years)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Figure out the probability for each individual event. Multiply the individual probabilities together.
The amount after deductions

39. x^r/s = ?
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
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.
s Sq. rt (x^r)
P(E) + P(F) - P(E and F)

40. Average Rate: Average speed
(total distance) / (total time)
16.6%
(total A) / (total B)
always try to factor

41. How to check whether a number is a multiple of 12.
1.7
1st Rule of Probability: Basic Rule is what?
Sum of digits is multiple of 3 - last two digits multiple of 4.
Exterior angle d is equal to the sum of the two remote interior angles a and b

42. Gross Profit formula
Gross Profit = Selling Price - Cost
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Sum of digits is multiple of 9
(total distance) / (total time)

43. Always try to factor
4/3 TT r ^3
always try to factor
1.4
Organize into a grid.

44. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Sum of digits is multiple of 9
Gross Profit = Selling Price - Cost
Immediately try factoring/simplifying when possible
Divide 4999 by 15 => 333 integers

45. gcd(m,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
______ |m-n|
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Sum of digits is multiple of 3

46. In general - difficult questions require how many steps to solve?
(# of favorable outcomes) / (# of possible outcomes)
1.7
at least 3 steps
Find all prime factors

47. Compound interest formula
Principal (1 + interest/number times compounded)^(t)(n)
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)
$11 - 025

48. 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
Balancing
1
| A union B| = |A| + |B| - |A intersect B|
22

49. Simple probability
Number is a multiple of 3 and 2
(# of favorable outcomes) / (# of possible outcomes)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
83.3%

50. Number added or deleted
3 - 6 - 9 - 12
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)
n! / (n - r)!
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)