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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. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
market value
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
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

2. Odd Factors
0.15n + 0.08(5) = 0.1(n+5)
Odd numbers only have ___________
Find simple interest then look for the answer that is a little bigger
Purchase price

3. Net
The amount after deductions
(total distance) / (total time)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
12.5%

4. Gross Profit formula
Find all prime factors
3 - 6 - 9 - 12
Gross Profit = Selling Price - Cost
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

5. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Find simple interest then look for the answer that is a little bigger
P(E)P(F)
Divide 4999 by 15 => 333 integers
sum = (average)(number of terms)

6. Average Rate: Average speed
s Sq. rt (x^r)
3 - 6 - 9 - 12
Odd numbers only have ___________
(total distance) / (total time)

7. Odd and Even rule.
Exterior angle d is equal to the sum of the two remote interior angles a and b
22
0.15n + 0.08(5) = 0.1(n+5)
Any multiplication involving an even number creates an even product.

8. Quadratic formula
Organize into a grid.
-b +- sq. rt(b^2 - 4ac) / 2a
(total distance) / (total time)
The probability of event occurring is...

9. 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
Balancing
A = P(1 + r) ^n
x - x - x(sq. rt 2)

10. Average Rate: Average A per 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.
Organize into a grid.
Sum of digits is multiple of 3 - last two digits multiple of 4.
(total A) / (total B)

11. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
$11 - 025
Last two digits are multiple of 4 or the number can be divided by 2 twice.
If the outcome of one event affects the outcome of the other event.
180(n-2)

12. gcd(m,n)*lcm(m,n)
gcd(m,n)*lcm(m,n) = mn
4/3 TT r ^3
(total A) / (total B)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

13. Prime Factorization to find Greatest Common Factor
| A union B| = |A| + |B| - |A intersect B|
p/100 = is/of
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
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

14. Always try to factor
(n-1)!
always try to factor
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Organize into a grid.

15. How to check whether a number is a multiple of 12.
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 bases)(height) / 2
Sum of digits is multiple of 3
Sum of digits is multiple of 3 - last two digits multiple of 4.

16. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
P(E)P(F)
Principal (1 + interest/number times compounded)^(t)(n)
The probability of an event occurring plus the probability of the event not occurring = 1
22

17. Sum of consecutive numbers
sum = (average)(number of terms)
1st Rule of Probability: Basic Rule is what?
Any multiplication involving an even number creates an even product.
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.

18. 4th rule of Probability
Number is a multiple of 3 and 2
Minor arc = 2(inscribed angle)
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)
22

19. Work problem rule
principle (interest rate - in decimal form) (time - in years)
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.
at least 3 steps
Minor arc = 2(inscribed angle)

20. Set Problems formula
D or E
(x-n(n)y-n)
22
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

21. Dependent events: When are two events said to be dependent events?
Immediately try factoring/simplifying when possible
(sum of bases)(height) / 2
If the outcome of one event affects the outcome of the other event.
Odd

22. Three triangle length patterns
3-4-5 - 5-12-13 - 9-12-15
3 - 6 - 9 - 12
347
The probability of an event occurring plus the probability of the event not occurring = 1

23. The number of ways independent events can occur together.
n! / (n - r)!
The probability of event occurring is...
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.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

24. Permutations: Order Matters
The amount after deductions
The total amount before any deductions
Sum of digits is multiple of 3
n! / (n - r)!

25. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
(n-1)!
1st Rule of Probability: Basic Rule is what?
market value
Gross Profit = Selling Price - Cost

26. Indistinguishable events how to find the number of permutations

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27. How to check whether a number is a multiple of 3.
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.
always try to factor
Sum of digits is multiple of 3
market value

28. How to find the slope.
y2 - y1 / x2 - x1
Odd
(sum of bases)(height) / 2
(# of favorable outcomes) / (# of possible outcomes)

29. Trial Problems: look at the probability of NOT OCCURRING
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
P(event NOT occurring) = 1 - P(event occurring)
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

30. How to check for a prime number.

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31. Sq. rt(2)
Figure out the probability for each individual event. Multiply the individual probabilities together.
Immediately UNFACTOR or vice versa
1.4
Odd numbers only have ___________

32. 2n - 2n+2 - 2n+4
0.15n + 0.08(5) = 0.1(n+5)
principle (interest rate - in decimal form) (time - in years)
3-4-5 - 5-12-13 - 9-12-15
Even

33. Number added or deleted
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Principal (1 + interest/number times compounded)^(t)(n)
0.15n + 0.08(5) = 0.1(n+5)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

34. 3rd Rule of Probability: Conditional Probability
Odd
Sum of digits is multiple of 9
Odd numbers only have ___________
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. Price sold for by retailer (after markup)
market value
$11 - 025
always try to factor
3-4-5 - 5-12-13 - 9-12-15

36. 1/8 = what %
(total distance) / (total time)
12.5%
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Balancing

37. 45-45-90 triangle basic lengths of sides
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
x - x - x(sq. rt 2)
Odd numbers only have ___________
Divide 4999 by 15 => 333 integers

38. What does the Sum of the angles in a Regular Polygon formula look like?
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.
Even
180(n-2)
at least 3 steps

39. Triangle abc with d on the outside with a line. What does d = ?
The probability of event occurring is...
Find simple interest then look for the answer that is a little bigger
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
Exterior angle d is equal to the sum of the two remote interior angles a and b

40. How to check whether a number is a multiple of 6
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.
The probability of event occurring is...
Find simple interest then look for the answer that is a little bigger
Number is a multiple of 3 and 2

41. 1/6 = what %
16.6%
1.4
Sum of digits is multiple of 3 - last two digits multiple of 4.
(n-1)!

42. 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?
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
14 liters
3 - 6 - 9 - 12
Sum of digits is multiple of 3 - last two digits multiple of 4.

43. The average of consecutive numbers
at least 3 steps
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
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.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

44. Combined Events: E or F
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 an event occurring plus the probability of the event not occurring = 1
P(E) + P(F) - P(E and F)
12^3

45. In general - difficult questions require how many steps to solve?
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
P(E) + P(F) - P(E and F)
at least 3 steps
Odd numbers only have ___________

46. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
The amount after deductions
Organize into a grid.
$11 - 025

47. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
always try to factor
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
A = P(1 + r) ^n

48. 0! = ?
1
180(n-2)
The amount after deductions
Gross Profit = Selling Price - Cost

49. Simple probability
Sum of digits is multiple of 3
(# of favorable outcomes) / (# of possible outcomes)
180(n-2)
1/16

50. How do you multiply roots together.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Odd numbers only have ___________
(amount of change) / (original amount)
The amount after deductions