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. Prime Factorization to find Greatest Common Factor
22
s Sq. rt (x^r)
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
83.3%

2. 45-45-90 triangle basic lengths of sides
market value
x - x - x(sq. rt 2)
Find simple interest then look for the answer that is a little bigger
12.5%

3. Price purchased for by wholesaler
at least 3 steps
gcd(m,n)*lcm(m,n) = mn
(sum of bases)(height) / 2
Purchase price

4. Dependent events: When are two events said to be dependent events?
Purchase price
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.
1/16

5. 2nd Rule of Probability: P(E) = 1 - P(not E)
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 - P(E)
The probability of an event occurring plus the probability of the event not occurring = 1
s Sq. rt (x^r)

6. How to find all divisors of a number
P(E) + P(F) - P(E and F)
(total A) / (total B)
Find all prime factors
347

7. 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.
Group 1 + Group 2 + Neither - Both = Total
at least 3 steps
12.5%

8. Odd and Even rule.
3-4-5 - 5-12-13 - 9-12-15
Any multiplication involving an even number creates an even product.
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
at least 3 steps

9. 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
P(event NOT occurring) = 1 - P(event occurring)
Find all prime factors
Organize into a grid.

10. How to find the slope.
(total A) / (total B)
y2 - y1 / x2 - x1
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.

11. 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

12. gcd(m,n)*lcm(m,n)
Organize into a grid.
gcd(m,n)*lcm(m,n) = mn
p/100 = is/of
3 - 6 - 9 - 12

13. Average Rate: Average A per B
s Sq. rt (x^r)
P(E)P(F)
1st Rule of Probability: Basic Rule is what?
(total A) / (total B)

14. Combined Events: E or F
Group 1 + Group 2 + Neither - Both = Total
The probability of event occurring is...
P(E) + P(F) - P(E and F)
Figure out the probability for each individual event. Multiply the individual probabilities together.

15. How to check whether a number is a multiple of 3.
Sum of digits is multiple of 3
Sum of digits is multiple of 3 - last two digits multiple of 4.
347
Find simple interest then look for the answer that is a little bigger

16. Odd Factors
Odd numbers only have ___________
x - x - x(sq. rt 2)
market value
(total A) / (total B)

17. Set Problems formula
Any multiplication involving an even number creates an even product.
Find all prime factors
(x-n(n)y-n)
x(sq. rt 3) - x - 2x

18. 2n+1 - 2n+3 - 2n+5
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.
Odd
Group 1 + Group 2 + Neither - Both = Total
Sum of digits is multiple of 9

19. Sq. rt(3)
(n-1)!
1.7
180(n-2)
4/3 TT r ^3

20. (1/4)^2
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.
1/16
Balancing
16.6%

21. 4th rule of Probability
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)
Sum of digits is multiple of 3
Any multiplication involving an even number creates an even product.
12^3

22. Permutations: Order Matters
Even
sum = (average)(number of terms)
p/100 = is/of
n! / (n - r)!

23. Three triangle length patterns
3-4-5 - 5-12-13 - 9-12-15
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.
14 liters
principle (interest rate - in decimal form) (time - in years)

24. 3^3 x 4^3 = ?
12.5%
(# of favorable outcomes) / (# of possible outcomes)
12^3
16.6%

25. Combined Events: Not E = P(not E) = ?
______ |m-n|
sum = (average)(number of terms)
1 - P(E)
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.

26. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
(x-n(n)y-n)
Figure out the probability for each individual event. Multiply the individual probabilities together.
Principal (1 + interest/number times compounded)^(t)(n)
347

27. The number of outcomes that result in A divided by the total number of possible outcomes.
Immediately try factoring/simplifying when possible
______ |m-n|
The probability of event occurring is...
1st Rule of Probability: Basic Rule is what?

28. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
principle (interest rate - in decimal form) (time - in years)
Minor arc = 2(inscribed angle)
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.

29. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
P(E)P(F)
principle (interest rate - in decimal form) (time - in years)
$11 - 025
(amount of change) / (original amount)

30. Sq. rt(2)
(n-1)!
1.4
A = P(1 + r) ^n
-b +- sq. rt(b^2 - 4ac) / 2a

31. Compound interest rule
22
83.3%
The amount after deductions
Find simple interest then look for the answer that is a little bigger

32. x^r/s = ?
______ |m-n|
s Sq. rt (x^r)
n! / (n - r)!
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.

33. Formula for Mixed Group problems (involving Both/Neither)
x(sq. rt 3) - x - 2x
Group 1 + Group 2 + Neither - Both = Total
347
Gross Profit = Selling Price - Cost

34. Gross Profit formula
Gross Profit = Selling Price - Cost
Last two digits are multiple of 4 or the number can be divided by 2 twice.
(total distance) / (total time)
principle (interest rate - in decimal form) (time - in years)

35. Percent increase = ?
(amount of change) / (original amount)
1.7
Number is a multiple of 3 and 2
P(E) + P(F) - P(E and F)

36. 1/8 = what %
(sum of bases)(height) / 2
(n-1)!
s Sq. rt (x^r)
12.5%

37. 2n - 2n+2 - 2n+4
Even
Figure out the probability for each individual event. Multiply the individual probabilities together.
(# of favorable outcomes) / (# of possible outcomes)
1.4

38. In general - difficult questions require how many steps to solve?
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.
Minor arc = 2(inscribed angle)
at least 3 steps
P(E)P(F)

39. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
$11 - 025
3-4-5 - 5-12-13 - 9-12-15
(x-n(n)y-n)
Sum of digits is multiple of 3 - last two digits multiple of 4.

40. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
22
market value
x - x - x(sq. rt 2)
3 - 6 - 9 - 12

41. What to do with equations that have fractions
n! / (n - r)!
y2 - y1 / x2 - x1
Immediately try factoring/simplifying when possible
The probability of an event occurring plus the probability of the event not occurring = 1

42. 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

43. How to check whether a number is a multiple of 6
s Sq. rt (x^r)
Number is a multiple of 3 and 2
Find simple interest then look for the answer that is a little bigger
The total amount before any deductions

44. To determine the number of integers less than 5000 that are evenly divisible by 15...?
always try to factor
Divide 4999 by 15 => 333 integers
principle (interest rate - in decimal form) (time - in years)
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

45. 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
Find simple interest then look for the answer that is a little bigger
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.
1.7

46. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
P(event NOT occurring) = 1 - P(event occurring)
(n-1)!
14 liters
3-4-5 - 5-12-13 - 9-12-15

47. What does the Sum of the angles in a Regular Polygon formula look like?
14 liters
(amount of change) / (original amount)
1.4
180(n-2)

48. Average Rate: Average speed
x - x - x(sq. rt 2)
P(E)P(F)
(total distance) / (total time)
Group 1 + Group 2 + Neither - Both = Total

49. In general - medium questions require how many steps to solve?
Last two digits are multiple of 4 or the number can be divided by 2 twice.
at least 3 steps
Sum of digits is multiple of 3 - last two digits multiple of 4.
2 steps

50. Probability and Geometry.
P(event NOT occurring) = 1 - P(event occurring)
Odd numbers only have ___________
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
16.6%