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. How to find the slope.
Purchase price
y2 - y1 / x2 - x1
83.3%
-b +- sq. rt(b^2 - 4ac) / 2a

2. How to check whether a number is a multiple of 12.
Sum of digits is multiple of 3 - last two digits multiple of 4.
83.3%
sum = (average)(number of terms)
______ |m-n|

3. How to check whether a number is a multiple of 4.
The amount after deductions
Last two digits are multiple of 4 or the number can be divided by 2 twice.
1st Rule of Probability: Basic Rule is what?
3 - 6 - 9 - 12

4. 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.
Purchase price
Find simple interest then look for the answer that is a little bigger
Even

5. 3rd Rule of Probability: Conditional Probability
The amount after deductions
P(E)P(F)
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.
83.3%

6. Formula for Mixed Group problems (involving Both/Neither)
3-4-5 - 5-12-13 - 9-12-15
Organize into a grid.
Group 1 + Group 2 + Neither - Both = Total
Balancing

7. Net
180(n-2)
The amount after deductions
22
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)

8. Prime Factorization to find Greatest Common Factor
Immediately try factoring/simplifying when possible
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
(sum of bases)(height) / 2
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

9. Compound interest rule
0.15n + 0.08(5) = 0.1(n+5)
Divide 4999 by 15 => 333 integers
1
Find simple interest then look for the answer that is a little bigger

10. 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

11. Work problem rule
Odd numbers only have ___________
Odd
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
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.

12. x^r/s = ?
1 - P(E)
s Sq. rt (x^r)
(# of favorable outcomes) / (# of possible outcomes)
Odd

13. How many liters of a solution that is 15% salt must be added to 5 liters of a solution that is 8% salt so that the resulting mixture is 10% salt?
Find simple interest then look for the answer that is a little bigger
0.15n + 0.08(5) = 0.1(n+5)
A = P(1 + r) ^n
If the outcome of one event affects the outcome of the other event.

14. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
Last two digits are multiple of 4 or the number can be divided by 2 twice.
A = P(1 + r) ^n
1st Rule of Probability: Basic Rule is what?
347

15. Odd and Even rule.
Immediately try factoring/simplifying when possible
Any multiplication involving an even number creates an even product.
If the outcome of one event affects the outcome of the other event.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

16. Set Problems formula
1.4
If the outcome of one event affects the outcome of the other event.
(x-n(n)y-n)
Even

17. 2nd Rule of Probability: P(E) = 1 - P(not 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.
The probability of an event occurring plus the probability of the event not occurring = 1
market value
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

18. Average Rate: Average A per B
1/16
$11 - 025
Principal (1 + interest/number times compounded)^(t)(n)
(total A) / (total B)

19. gcd(m,n)
______ |m-n|
Group 1 + Group 2 + Neither - Both = Total
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
12.5%

20. 45-45-90 triangle basic lengths of sides
Balancing
x - x - x(sq. rt 2)
1.4
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. Combined Events: E and F
D or E
P(E)P(F)
Find simple interest then look for the answer that is a little bigger
0.15n + 0.08(5) = 0.1(n+5)

22. Compound interest formula
3-4-5 - 5-12-13 - 9-12-15
Odd
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.
Principal (1 + interest/number times compounded)^(t)(n)

23. In general - difficult questions require how many steps to solve?
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.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
at least 3 steps
P(E)P(F)

24. Sq. rt(2)
gcd(m,n)*lcm(m,n) = mn
1.4
4/3 TT r ^3
0.15n + 0.08(5) = 0.1(n+5)

25. gcd(m,n)*lcm(m,n)
gcd(m,n)*lcm(m,n) = mn
1
180(n-2)
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

26. Trial Problems: look at the probability of NOT OCCURRING
sum = (average)(number of terms)
(n-1)!
gcd(m,n)*lcm(m,n) = mn
P(event NOT occurring) = 1 - P(event occurring)

27. (1/4)^2
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
s Sq. rt (x^r)
1/16

28. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
1/16
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Balancing
The probability of an event occurring plus the probability of the event not occurring = 1

29. Percent increase = ?
The probability of event occurring is...
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.
(amount of change) / (original amount)

30. Price purchased for by wholesaler
Purchase price
22
p/100 = is/of
Sum of digits is multiple of 9

31. How to check whether number is multiple of 9
1/16
Sum of digits is multiple of 9
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.
1st Rule of Probability: Basic Rule is what?

32. Average Rate: Average speed
The probability of event occurring is...
Group 1 + Group 2 + Neither - Both = Total
(total distance) / (total time)
p/100 = is/of

33. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
principle (interest rate - in decimal form) (time - in years)
______ |m-n|
Odd numbers only have ___________
Group 1 + Group 2 + Neither - Both = Total

34. Percent Formula
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/100 = is/of
16.6%
Number is a multiple of 3 and 2

35. 0! = ?
Balancing
market value
1
Find simple interest then look for the answer that is a little bigger

36. Combined Events: Not E = P(not E) = ?
14 liters
-b +- sq. rt(b^2 - 4ac) / 2a
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.
1 - P(E)

37. Gross
-b +- sq. rt(b^2 - 4ac) / 2a
The total amount before any deductions
1.4
gcd(m,n)*lcm(m,n) = mn

38. Multiplication principle
Exterior angle d is equal to the sum of the two remote interior angles a and b
(total distance) / (total time)
Odd
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

39. 30-60-90 triangle basic lengths of sides
Figure out the probability for each individual event. Multiply the individual probabilities together.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
x(sq. rt 3) - x - 2x
83.3%

40. Gross Profit formula
1st Rule of Probability: Basic Rule is what?
Number is a multiple of 3 and 2
Balancing
Gross Profit = Selling Price - Cost

41. Quadratic formula
Even
Balancing
-b +- sq. rt(b^2 - 4ac) / 2a
P(E)P(F)

42. When you see an equation in factored form in a question?
sum = (average)(number of terms)
Immediately UNFACTOR or vice versa
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
P(E) + P(F) - P(E and F)

43. Properties of 0
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Purchase price
______ |m-n|
14 liters

44. Number added or deleted
at least 3 steps
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
n! / (n - r)!
Minor arc = 2(inscribed angle)

45. 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?
1 - P(E)
Find all prime factors
180(n-2)
14 liters

46. What does the Sum of the angles in a Regular Polygon formula look like?
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
180(n-2)
gcd(m,n)*lcm(m,n) = mn
| A union B| = |A| + |B| - |A intersect B|

47. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Group 1 + Group 2 + Neither - Both = Total
Divide 4999 by 15 => 333 integers
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1/16

48. The number of outcomes that result in A divided by the total number of possible outcomes.
y2 - y1 / x2 - x1
The probability of event occurring is...
Last two digits are multiple of 4 or the number can be divided by 2 twice.
market value

49. Price sold for by retailer (after markup)
1
market value
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Minor arc = 2(inscribed angle)

50. 1/6 = what %
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
(amount of change) / (original amount)
16.6%
______ |m-n|