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 check whether a number is a multiple of 12.
Sum of digits is multiple of 3 - last two digits multiple of 4.
2 steps
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
P(E) + P(F) - P(E and F)

2. Formula for Mixed Group problems (involving Both/Neither)
(# of favorable outcomes) / (# of possible outcomes)
Balancing
1 - P(E)
Group 1 + Group 2 + Neither - Both = Total

3. Trial Problems: look at the probability of NOT OCCURRING
3 - 6 - 9 - 12
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(event NOT occurring) = 1 - P(event occurring)
12.5%

4. Odd Factors
Odd numbers only have ___________
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.
1.7
principle (interest rate - in decimal form) (time - in years)

5. Dependent events: When are two events said to be dependent events?
If the outcome of one event affects the outcome of the other event.
Group 1 + Group 2 + Neither - Both = Total
Last two digits are multiple of 4 or the number can be divided by 2 twice.
gcd(m,n)*lcm(m,n) = mn

6. The average of consecutive numbers
n! / (n - r)!
22
Immediately UNFACTOR or vice versa
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

7. What does the Sum of the angles in a Regular Polygon formula look like?
180(n-2)
(sum of bases)(height) / 2
(amount of change) / (original amount)
Any multiplication involving an even number creates an even product.

8. Net
Even
Sum of digits is multiple of 3
The amount after deductions
Last two digits are multiple of 4 or the number can be divided by 2 twice.

9. Prime Factorization to find Greatest Common Factor
market value
Balancing
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
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

10. Gross Profit formula
Sum of digits is multiple of 3
Gross Profit = Selling Price - Cost
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.
83.3%

11. 1/6 = what %
gcd(m,n)*lcm(m,n) = mn
16.6%
Sum of digits is multiple of 3 - last two digits multiple of 4.
(sum of bases)(height) / 2

12. 45-45-90 triangle basic lengths of sides
s Sq. rt (x^r)
16.6%
Principal (1 + interest/number times compounded)^(t)(n)
x - x - x(sq. rt 2)

13. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
Balancing
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
22
P(E) + P(F) - P(E and F)

14. Number added or deleted
Odd numbers only have ___________
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Immediately try factoring/simplifying when possible
p/100 = is/of

15. When you see an equation in factored form in a question?
Number is a multiple of 3 and 2
Exterior angle d is equal to the sum of the two remote interior angles a and b
P(E) + P(F) - P(E and F)
Immediately UNFACTOR or vice versa

16. Intersecting Sets
The probability of event occurring is...
$11 - 025
| A union B| = |A| + |B| - |A intersect B|
Number is a multiple of 3 and 2

17. 3^3 x 4^3 = ?
______ |m-n|
12^3
1st Rule of Probability: Basic Rule is what?
D or E

18. In general - difficult questions require how many steps to solve?
at least 3 steps
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.
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.
Gross Profit = Selling Price - Cost

19. 2n - 2n+2 - 2n+4
n! / (n - r)!
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.
market value
Even

20. gcd(m,n)*lcm(m,n)
gcd(m,n)*lcm(m,n) = mn
180(n-2)
Odd numbers only have ___________
Sum of digits is multiple of 3

21. Average Rate: Average speed
The probability of an event occurring plus the probability of the event not occurring = 1
| A union B| = |A| + |B| - |A intersect B|
1st Rule of Probability: Basic Rule is what?
(total distance) / (total time)

22. Combined Events: Not E = P(not E) = ?
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)
1 - P(E)
D or E

23. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
principle (interest rate - in decimal form) (time - in years)
P(event NOT occurring) = 1 - P(event occurring)
Divide 4999 by 15 => 333 integers

24. 30-60-90 triangle basic lengths of sides
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.
Even
gcd(m,n)*lcm(m,n) = mn
x(sq. rt 3) - x - 2x

25. Sq. rt(3)
Exterior angle d is equal to the sum of the two remote interior angles a and b
1.7
The probability of event occurring is...
(sum of bases)(height) / 2

26. The number of outcomes that result in A divided by the total number of possible outcomes.
The probability of event occurring is...
Sum of digits is multiple of 9
4/3 TT r ^3
market value

27. 2n+1 - 2n+3 - 2n+5
A = P(1 + r) ^n
Odd
1.7
(n-1)!

28. Odd and Even rule.
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
Any multiplication involving an even number creates an even product.
always try to factor
If the outcome of one event affects the outcome of the other event.

29. 3rd Rule of Probability: Conditional Probability
Divide 4999 by 15 => 333 integers
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.
Sum of digits is multiple of 9
x(sq. rt 3) - x - 2x

30. Average Rate: Average A per B
(total A) / (total B)
(total distance) / (total time)
P(E)P(F)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

31. Sq. rt(2)
If the outcome of one event affects the outcome of the other event.
Find all prime factors
(sum of bases)(height) / 2
1.4

32. Quadratic formula
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.
Even
The probability of event occurring is...
-b +- sq. rt(b^2 - 4ac) / 2a

33. 5/6 = what %
(x-n(n)y-n)
(sum of bases)(height) / 2
83.3%
P(E) + P(F) - P(E and F)

34. How to find all divisors of a number
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.
(sum of bases)(height) / 2
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Find all prime factors

35. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
Minor arc = 2(inscribed angle)
$11 - 025
Odd
16.6%

36. gcd(m,n)
______ |m-n|
4/3 TT r ^3
$11 - 025
180(n-2)

37. How to find the slope.
| A union B| = |A| + |B| - |A intersect B|
(total A) / (total B)
y2 - y1 / x2 - x1
3-4-5 - 5-12-13 - 9-12-15

38. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
x(sq. rt 3) - x - 2x
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
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.

39. Formula for area of a Trapezoid
2 steps
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 bases)(height) / 2
P(E)P(F)

40. Compound interest rule
Find simple interest then look for the answer that is a little bigger
(# of favorable outcomes) / (# of possible outcomes)
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
14 liters

41. Triangle abc with d on the outside with a line. What does d = ?
(total distance) / (total time)
(x-n(n)y-n)
x(sq. rt 3) - x - 2x
Exterior angle d is equal to the sum of the two remote interior angles a and b

42. Compound interest formula
x - x - x(sq. rt 2)
Principal (1 + interest/number times compounded)^(t)(n)
Odd numbers only have ___________
______ |m-n|

43. 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

44. Price sold for by retailer (after markup)
market value
The probability of an event occurring plus the probability of the event not occurring = 1
Minor arc = 2(inscribed angle)
22

45. Volume of a sphere
4/3 TT r ^3
$11 - 025
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
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)

46. What to do with equations that have fractions
gcd(m,n)*lcm(m,n) = mn
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
P(E) + P(F) - P(E and F)
Immediately try factoring/simplifying when possible

47. Gross
The total amount before any deductions
Gross Profit = Selling Price - Cost
3 - 6 - 9 - 12
x - x - x(sq. rt 2)

48. How to check whether a number is a multiple of 3.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
| A union B| = |A| + |B| - |A intersect B|
Sum of digits is multiple of 3
12^3

49. How do you multiply roots together.
Immediately try factoring/simplifying when possible
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Divide 4999 by 15 => 333 integers
Sum of digits is multiple of 3 - last two digits multiple of 4.

50. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
12^3
P(E) + P(F) - P(E and F)
347
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.