Test your basic knowledge |

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. To determine multiple-event probability where each individual event must occur in a certain way.
The probability of an event occurring plus the probability of the event not occurring = 1
p/100 = is/of
Figure out the probability for each individual event. Multiply the individual probabilities together.
16.6%

2. Average Rate: Average A per B
83.3%
always try to factor
Immediately try factoring/simplifying when possible
(total A) / (total B)

3. Volume of a sphere
Odd
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
(sum of bases)(height) / 2
4/3 TT r ^3

4. 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.
Organize into a grid.
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.
principle (interest rate - in decimal form) (time - in years)
Even

5. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
P(event NOT occurring) = 1 - P(event occurring)
Principal (1 + interest/number times compounded)^(t)(n)
A = P(1 + r) ^n
(# of favorable outcomes) / (# of possible outcomes)

6. Set Problems formula
3 - 6 - 9 - 12
-b +- sq. rt(b^2 - 4ac) / 2a
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-n(n)y-n)

7. Price purchased for by wholesaler
Purchase price
1.7
-b +- sq. rt(b^2 - 4ac) / 2a
Group 1 + Group 2 + Neither - Both = Total

8. Inscribed Angle - Minor Arc
Balancing
Minor arc = 2(inscribed angle)
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.
14 liters

9. 30-60-90 triangle basic lengths of sides
P(E) + P(F) - P(E and F)
x(sq. rt 3) - x - 2x
(n-1)!
The probability of an event occurring plus the probability of the event not occurring = 1

10. Gross Profit formula
Gross Profit = Selling Price - Cost
Immediately UNFACTOR or vice versa
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.
x - x - x(sq. rt 2)

11. Prime Factorization to find Greatest Common Factor
P(E) + P(F) - P(E and F)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
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
Group 1 + Group 2 + Neither - Both = Total

12. 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
Divide 4999 by 15 => 333 integers
Balancing
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.
n! / (n - r)!

13. Triangle abc with d on the outside with a line. What does d = ?
Exterior angle d is equal to the sum of the two remote interior angles a and b
12.5%
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
83.3%

14. Sum of consecutive numbers
2 steps
sum = (average)(number of terms)
1/16
always try to factor

15. (1/4)^2
(amount of change) / (original amount)
1/16
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.
Purchase price

16. Combined Events: Not E = P(not E) = ?
1 - P(E)
3-4-5 - 5-12-13 - 9-12-15
16.6%
y2 - y1 / x2 - x1

17. 45-45-90 triangle basic lengths of sides
n! / (n - r)!
16.6%
P(event NOT occurring) = 1 - P(event occurring)
x - x - x(sq. rt 2)

18. Intersecting Sets
| A union B| = |A| + |B| - |A intersect B|
The probability of an event occurring plus the probability of the event not occurring = 1
22
x(sq. rt 3) - x - 2x

19. Indistinguishable events how to find the number of permutations

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

20. What does the Sum of the angles in a Regular Polygon formula look like?
Even
The total amount before any deductions
$11 - 025
180(n-2)

21. 1/6 = what %
Divide 4999 by 15 => 333 integers
16.6%
347
at least 3 steps

22. gcd(m,n)
Number is a multiple of 3 and 2
______ |m-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.
always try to factor

23. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
The total amount before any deductions
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Principal (1 + interest/number times compounded)^(t)(n)
If the outcome of one event affects the outcome of the other event.

24. Compound interest rule
x(sq. rt 3) - x - 2x
Find simple interest then look for the answer that is a little bigger
P(E)P(F)
12^3

25. x^r/s = ?
Number is a multiple of 3 and 2
s Sq. rt (x^r)
1.4
4/3 TT r ^3

26. Percent increase = ?
y2 - y1 / x2 - x1
(amount of change) / (original amount)
1.7
$11 - 025

27. How to check whether number is multiple of 9
n! / (n - r)!
Sum of digits is multiple of 9
(total distance) / (total time)
Figure out the probability for each individual event. Multiply the individual probabilities together.

28. Gross
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
The total amount before any deductions
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
1st Rule of Probability: Basic Rule is what?

29. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
1.4
principle (interest rate - in decimal form) (time - in years)
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.
(total A) / (total B)

30. In general - medium questions require how many steps to solve?
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 total amount before any deductions
| A union B| = |A| + |B| - |A intersect B|
2 steps

31. How to find all divisors of a number
Find all prime factors
Last two digits are multiple of 4 or the number can be divided by 2 twice.
principle (interest rate - in decimal form) (time - in years)
347

32. How do you multiply roots together.
Find simple interest then look for the answer that is a little bigger
(total A) / (total B)
16.6%
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

33. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
1
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
$11 - 025
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

34. Price sold for by retailer (after markup)
P(E)P(F)
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.
(# of favorable outcomes) / (# of possible outcomes)
market value

35. 3^3 x 4^3 = ?
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
12^3
$11 - 025
D or E

36. How to find the slope.
y2 - y1 / x2 - x1
The probability of event occurring is...
Find all prime factors
Gross Profit = Selling Price - Cost

37. Properties of 0
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
347
12^3
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)

38. Dependent events: When are two events said to be dependent events?
1
(x-n(n)y-n)
If the outcome of one event affects the outcome of the other event.
The total amount before any deductions

39. 4th rule of Probability
Group 1 + Group 2 + Neither - Both = Total
n! / (n - r)!
The total amount before any deductions
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)

40. 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.
3 - 6 - 9 - 12
Odd numbers only have ___________
Number is a multiple of 3 and 2

41. Simple probability
| A union B| = |A| + |B| - |A intersect B|
16.6%
(# of favorable outcomes) / (# of possible outcomes)
Odd numbers only have ___________

42. 2n - 2n+2 - 2n+4
Purchase price
Even
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1 - P(E)

43. What to do with equations that have fractions
Immediately try factoring/simplifying when possible
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
| A union B| = |A| + |B| - |A intersect B|
14 liters

44. Odd and Even rule.
If the outcome of one event affects the outcome of the other event.
Any multiplication involving an even number creates an even product.
principle (interest rate - in decimal form) (time - in years)
x - x - x(sq. rt 2)

45. 0! = ?
sum = (average)(number of terms)
1
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
P(E)P(F)

46. 5/6 = what %
83.3%
180(n-2)
The probability of an event occurring plus the probability of the event not occurring = 1
D or E

47. Multiples of 3
gcd(m,n)*lcm(m,n) = mn
3 - 6 - 9 - 12
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.
x - x - x(sq. rt 2)

48. How to check whether a number is a multiple of 6
A = P(1 + r) ^n
2 steps
(# of favorable outcomes) / (# of possible outcomes)
Number is a multiple of 3 and 2

49. 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
(n-1)!
x(sq. rt 3) - x - 2x
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.
n! / (n - r)!

50. Number added or deleted
| A union B| = |A| + |B| - |A intersect B|
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.
Odd numbers only have ___________
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)