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. Formula for area of a Trapezoid
Gross Profit = Selling Price - Cost
s Sq. rt (x^r)
(sum of bases)(height) / 2
Last two digits are multiple of 4 or the number can be divided by 2 twice.

2. Combined Events: E and F
sum = (average)(number of terms)
P(E)P(F)
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.
Minor arc = 2(inscribed angle)

3. 5/6 = what %
83.3%
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Odd
Purchase price

4. Average Rate: Average speed
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)
(total distance) / (total time)
Group 1 + Group 2 + Neither - Both = Total
Balancing

5. Always try to factor
always try to factor
If the outcome of one event affects the outcome of the other event.
3-4-5 - 5-12-13 - 9-12-15
(total A) / (total B)

6. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
Figure out the probability for each individual event. Multiply the individual probabilities together.
$11 - 025
Group 1 + Group 2 + Neither - Both = Total
Any multiplication involving an even number creates an even product.

7. Intersecting Sets
Minor arc = 2(inscribed angle)
2 steps
3-4-5 - 5-12-13 - 9-12-15
| A union B| = |A| + |B| - |A intersect B|

8. Combined Events: Not E = P(not E) = ?
(total A) / (total B)
Odd numbers only have ___________
p/100 = is/of
1 - P(E)

9. Price sold for by retailer (after markup)
Balancing
market value
Group 1 + Group 2 + Neither - Both = Total
(amount of change) / (original amount)

10. Percent increase = ?
Figure out the probability for each individual event. Multiply the individual probabilities together.
(amount of change) / (original amount)
1st Rule of Probability: Basic Rule is what?
| A union B| = |A| + |B| - |A intersect B|

11. 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)
4/3 TT r ^3
12.5%
347

12. 3rd Rule of Probability: Conditional Probability
1 - P(E)
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.
Any multiplication involving an even number creates an even product.
A = P(1 + r) ^n

13. Price purchased for by wholesaler
1 - P(E)
D or E
Purchase price
Odd

14. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
1.4
gcd(m,n)*lcm(m,n) = mn
347
22

15. Sum of consecutive numbers
sum = (average)(number of terms)
The amount after deductions
3-4-5 - 5-12-13 - 9-12-15
The total amount before any deductions

16. Compound interest rule
(total A) / (total 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.
Find simple interest then look for the answer that is a little bigger
n! / (n - r)!

17. How to find the slope.
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)
0.15n + 0.08(5) = 0.1(n+5)
y2 - y1 / x2 - x1

18. Odd and Even rule.
The probability of an event occurring plus the probability of the event not occurring = 1
Any multiplication involving an even number creates an even product.
n! / (n - r)!
sum = (average)(number of terms)

19. Multiplication principle
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
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Find all prime factors
(n-1)!

20. 2n+1 - 2n+3 - 2n+5
(amount of change) / (original amount)
(n-1)!
Odd
Balancing

21. 30-60-90 triangle basic lengths of sides
Divide 4999 by 15 => 333 integers
Balancing
12.5%
x(sq. rt 3) - x - 2x

22. Net
The amount after deductions
P(E) + P(F) - P(E and F)
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.
Find simple interest then look for the answer that is a little bigger

23. How to check for a prime number.

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

24. 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

25. Gross
gcd(m,n)*lcm(m,n) = mn
The total amount before any deductions
Figure out the probability for each individual event. Multiply the individual probabilities together.
-b +- sq. rt(b^2 - 4ac) / 2a

26. Sq. rt(2)
always try to factor
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
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.
1.4

27. Probability and Geometry.
$11 - 025
(n-1)!
principle (interest rate - in decimal form) (time - in years)
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

28. Multiples of 3
The total amount before any deductions
(# of favorable outcomes) / (# of possible outcomes)
3 - 6 - 9 - 12
Purchase price

29. 1/8 = what %
12.5%
0.15n + 0.08(5) = 0.1(n+5)
D or E
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

30. gcd(m,n)
market value
______ |m-n|
Balancing
Gross Profit = Selling Price - Cost

31. Set Problems formula
n! / (n - r)!
(x-n(n)y-n)
A = P(1 + r) ^n
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

32. 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?
D or E
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
p/100 = is/of
14 liters

33. 1/6 = what %
0.15n + 0.08(5) = 0.1(n+5)
Find all prime factors
3-4-5 - 5-12-13 - 9-12-15
16.6%

34. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Minor arc = 2(inscribed angle)
Divide 4999 by 15 => 333 integers
3-4-5 - 5-12-13 - 9-12-15
Sum of digits is multiple of 9

35. 45-45-90 triangle basic lengths of sides
(x-n(n)y-n)
1/16
x - x - x(sq. rt 2)
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.

36. Volume of a sphere
x - x - x(sq. rt 2)
4/3 TT r ^3
p/100 = is/of
Any multiplication involving an even number creates an even product.

37. Compound interest formula
1st Rule of Probability: Basic Rule is what?
Principal (1 + interest/number times compounded)^(t)(n)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

38. How to check whether a number is a multiple of 6
Number is a multiple of 3 and 2
y2 - y1 / x2 - x1
3 - 6 - 9 - 12
P(E)P(F)

39. x^r/s = ?
Immediately UNFACTOR or vice versa
Find all prime factors
s Sq. rt (x^r)
14 liters

40. What to do with equations that have fractions
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Immediately UNFACTOR or vice versa
Immediately try factoring/simplifying when possible
12^3

41. Three triangle length patterns
A = P(1 + r) ^n
Find all prime factors
3-4-5 - 5-12-13 - 9-12-15
-b +- sq. rt(b^2 - 4ac) / 2a

42. Combined Events: E or F
n! / (n - r)!
1
always try to factor
P(E) + P(F) - P(E and F)

43. Permutations: Order Matters
n! / (n - r)!
14 liters
Even
Find simple interest then look for the answer that is a little bigger

44. 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?
0.15n + 0.08(5) = 0.1(n+5)
(amount of change) / (original amount)
The amount after deductions
gcd(m,n)*lcm(m,n) = mn

45. In general - medium questions require how many steps to solve?
A = P(1 + r) ^n
Sum of digits is multiple of 3 - last two digits multiple of 4.
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)
2 steps

46. Formula for Mixed Group problems (involving Both/Neither)
1.4
1/16
(x-n(n)y-n)
Group 1 + Group 2 + Neither - Both = Total

47. Number added or deleted
1 - P(E)
347
principle (interest rate - in decimal form) (time - in years)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

48. What does the Sum of the angles in a Regular Polygon formula look like?
always try to factor
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
180(n-2)
The probability of event occurring is...

49. Triangle abc with d on the outside with a line. What does d = ?
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.
Organize into a grid.
Exterior angle d is equal to the sum of the two remote interior angles a and b
Sum of digits is multiple of 3

50. The average of consecutive numbers
______ |m-n|
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Group 1 + Group 2 + Neither - Both = Total
Find all prime factors