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. 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
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.
$11 - 025
at least 3 steps
22

2. Dependent events: When are two events said to be dependent events?
Exterior angle d is equal to the sum of the two remote interior angles a and b
If the outcome of one event affects the outcome of the other event.
3-4-5 - 5-12-13 - 9-12-15
Immediately UNFACTOR or vice versa

3. Percent increase = ?
(amount of change) / (original amount)
Number is a multiple of 3 and 2
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
D or E

4. 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

5. Average Rate: Average A per B
Odd numbers only have ___________
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)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

6. Price sold for by retailer (after markup)
Gross Profit = Selling Price - Cost
4/3 TT r ^3
market value
P(E) + P(F) - P(E and F)

7. How to check whether a number is a multiple of 3.
Sum of digits is multiple of 3
-b +- sq. rt(b^2 - 4ac) / 2a
P(E)P(F)
4/3 TT r ^3

8. Price purchased for by wholesaler
(total distance) / (total time)
$11 - 025
1 - P(E)
Purchase price

9. Prime Factorization to find Greatest Common Factor
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
Immediately UNFACTOR or vice versa
3 - 6 - 9 - 12
y2 - y1 / x2 - x1

10. 1. A and B < A or B 2. A or B > Individual probabilities of A - B 3. P(A and B) = P(A) x P(B) <-- 'fewer options' 4. P(A or B) = P(A) + P(B) <-- 'more options' - Probability of multiple events rules.
16.6%
(total A) / (total B)
1st Rule of Probability: Basic Rule is what?
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

11. 0! = ?
P(event NOT occurring) = 1 - P(event occurring)
Sum of digits is multiple of 3
x - x - x(sq. rt 2)
1

12. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
p/100 = is/of
A = P(1 + r) ^n
| A union B| = |A| + |B| - |A intersect B|
market value

13. What does the Sum of the angles in a Regular Polygon formula look like?
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.
180(n-2)
4/3 TT r ^3
22

14. Always try to factor
s Sq. rt (x^r)
If the outcome of one event affects the outcome of the other event.
always try to factor
16.6%

15. gcd(m,n)
______ |m-n|
0.15n + 0.08(5) = 0.1(n+5)
Exterior angle d is equal to the sum of the two remote interior angles a and b
gcd(m,n)*lcm(m,n) = mn

16. 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.
347
Principal (1 + interest/number times compounded)^(t)(n)
n! / (n - r)!

17. Simple probability
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.
(# of favorable outcomes) / (# of possible outcomes)
______ |m-n|
always try to factor

18. Trial Problems: look at the probability of NOT OCCURRING
P(event NOT occurring) = 1 - P(event occurring)
Any multiplication involving an even number creates an even product.
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.
3-4-5 - 5-12-13 - 9-12-15

19. 2nd Rule of Probability: P(E) = 1 - P(not E)
The probability of an event occurring plus the probability of the event not occurring = 1
3 - 6 - 9 - 12
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.
Minor arc = 2(inscribed angle)

20. 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.
12^3
-b +- sq. rt(b^2 - 4ac) / 2a
The probability of an event occurring plus the probability of the event not occurring = 1

21. 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

22. 5/6 = what %
83.3%
P(E)P(F)
Minor arc = 2(inscribed angle)
Organize into a grid.

23. Volume of a sphere
347
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
4/3 TT r ^3
(total distance) / (total time)

24. 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?
Gross Profit = Selling Price - Cost
Balancing
s Sq. rt (x^r)
14 liters

25. Multiples of 3
12.5%
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.
3 - 6 - 9 - 12
P(E)P(F)

26. Percent Formula
Balancing
p/100 = is/of
1st Rule of Probability: Basic Rule is what?
1.4

27. Permutations: Order Matters
n! / (n - r)!
(sum of bases)(height) / 2
3 - 6 - 9 - 12
gcd(m,n)*lcm(m,n) = mn

28. 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
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
(amount of change) / (original amount)
y2 - y1 / x2 - x1

29. x^r/s = ?
The amount after deductions
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
s Sq. rt (x^r)
| A union B| = |A| + |B| - |A intersect B|

30. Properties of 0
always try to factor
0.15n + 0.08(5) = 0.1(n+5)
Exterior angle d is equal to the sum of the two remote interior angles a and b
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

31. Work problem rule
at least 3 steps
D or E
22
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.

32. Sq. rt(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.
1.7
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
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

33. Gross
gcd(m,n)*lcm(m,n) = mn
1.7
12.5%
The total amount before any deductions

34. Average Rate: Average speed
Number is a multiple of 3 and 2
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
(total distance) / (total time)

35. Sq. rt(2)
1.4
The amount after deductions
(n-1)!
always try to factor

36. 4th rule of Probability
16.6%
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)
3-4-5 - 5-12-13 - 9-12-15
3 - 6 - 9 - 12

37. How to find the slope.
(amount of change) / (original amount)
4/3 TT r ^3
y2 - y1 / x2 - x1
(# of favorable outcomes) / (# of possible outcomes)

38. 2n+1 - 2n+3 - 2n+5
gcd(m,n)*lcm(m,n) = mn
Odd
Group 1 + Group 2 + Neither - Both = Total
Principal (1 + interest/number times compounded)^(t)(n)

39. Combined Events: E and F
D or E
sum = (average)(number of terms)
s Sq. rt (x^r)
P(E)P(F)

40. What to do with equations that have fractions
Immediately try factoring/simplifying when possible
Odd numbers only have ___________
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
12^3

41. 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.
2 steps
| A union B| = |A| + |B| - |A intersect B|
$11 - 025

42. In general - difficult questions require how many steps to solve?
1st Rule of Probability: Basic Rule is what?
P(event NOT occurring) = 1 - P(event occurring)
Find all prime factors
at least 3 steps

43. Odd Factors
Minor arc = 2(inscribed angle)
Odd numbers only have ___________
(# of favorable outcomes) / (# of possible outcomes)
x(sq. rt 3) - x - 2x

44. When you see an equation in factored form in a question?
1
| A union B| = |A| + |B| - |A intersect B|
Immediately UNFACTOR or vice versa
P(event NOT occurring) = 1 - P(event occurring)

45. How to check whether number is multiple of 9
(total distance) / (total time)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Sum of digits is multiple of 9
principle (interest rate - in decimal form) (time - in years)

46. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
The probability of event occurring is...
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.
Sum of digits is multiple of 3 - last two digits multiple of 4.
D or E

47. How to check whether a number is a multiple of 6
12^3
Group 1 + Group 2 + Neither - Both = Total
Number is a multiple of 3 and 2
P(event NOT occurring) = 1 - P(event occurring)

48. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
16.6%
x(sq. rt 3) - x - 2x
If the outcome of one event affects the outcome of the other event.
principle (interest rate - in decimal form) (time - in years)

49. 3^3 x 4^3 = ?
Sum of digits is multiple of 9
12^3
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

50. Quadratic formula
Exterior angle d is equal to the sum of the two remote interior angles a and b
-b +- sq. rt(b^2 - 4ac) / 2a
always try to factor
Sum of digits is multiple of 3 - last two digits multiple of 4.