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. x^r/s = ?
s Sq. rt (x^r)
Exterior angle d is equal to the sum of the two remote interior angles a and b
Sum of digits is multiple of 3
always try to factor

2. Gross
The total amount before any deductions
Figure out the probability for each individual event. Multiply the individual probabilities together.
Sum of digits is multiple of 3
83.3%

3. Price purchased for by wholesaler
p/100 = is/of
Principal (1 + interest/number times compounded)^(t)(n)
Even
Purchase price

4. How to find the slope.
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)
(amount of change) / (original amount)
y2 - y1 / x2 - x1
1/16

5. How to check whether number is multiple of 9
______ |m-n|
Immediately try factoring/simplifying when possible
83.3%
Sum of digits is multiple of 9

6. In general - medium questions require how many steps to solve?
Sum of digits is multiple of 9
(n-1)!
2 steps
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

7. Trial Problems: look at the probability of NOT OCCURRING
1.7
P(event NOT occurring) = 1 - P(event occurring)
347
The probability of event occurring is...

8. gcd(m,n)
______ |m-n|
P(event NOT occurring) = 1 - P(event occurring)
Sum of digits is multiple of 9
Find all prime factors

9. How to check whether a number is a multiple of 3.
Sum of digits is multiple of 3
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.
always try to factor
22

10. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
16.6%
22
P(E)P(F)

11. Probability and Geometry.
Purchase price
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
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
Exterior angle d is equal to the sum of the two remote interior angles a and b

12. Multiplication principle
x - x - x(sq. rt 2)
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
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
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.

13. 4th rule of Probability
1st Rule of Probability: Basic Rule is what?
(x-n(n)y-n)
(n-1)!
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)

14. 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

15. Odd and Even rule.
(sum of bases)(height) / 2
Any multiplication involving an even number creates an even product.
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

16. How do you multiply roots together.
Balancing
Minor arc = 2(inscribed angle)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
4/3 TT r ^3

17. 45-45-90 triangle basic lengths of sides
Purchase price
x - x - x(sq. rt 2)
1/16
______ |m-n|

18. Sq. rt(2)
1.4
Organize into a grid.
P(E) + P(F) - P(E and F)
Immediately try factoring/simplifying when possible

19. 2n+1 - 2n+3 - 2n+5
3-4-5 - 5-12-13 - 9-12-15
Odd
4/3 TT r ^3
sum = (average)(number of terms)

20. Gross Profit formula
Number is a multiple of 3 and 2
(x-n(n)y-n)
s Sq. rt (x^r)
Gross Profit = Selling Price - Cost

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. 1/6 = what %
1st Rule of Probability: Basic Rule is what?
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
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.
16.6%

23. 1/8 = what %
P(E) + P(F) - P(E and F)
12.5%
The total amount before any deductions
Group 1 + Group 2 + Neither - Both = Total

24. Average Rate: Average speed
Sum of digits is multiple of 3 - last two digits multiple of 4.
Exterior angle d is equal to the sum of the two remote interior angles a and b
1
(total distance) / (total time)

25. 2nd Rule of Probability: P(E) = 1 - P(not E)
sum = (average)(number of terms)
(n-1)!
The probability of an event occurring plus the probability of the event not occurring = 1
Figure out the probability for each individual event. Multiply the individual probabilities together.

26. 3^3 x 4^3 = ?
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 probability of an event occurring plus the probability of the event not occurring = 1
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
12^3

27. Combined Events: Not E = P(not E) = ?
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 - P(E)
180(n-2)
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. 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?
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
14 liters
x(sq. rt 3) - x - 2x
Immediately UNFACTOR or vice versa

29. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
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.
Divide 4999 by 15 => 333 integers
D or E

30. Combined Events: E and F
P(E)P(F)
n! / (n - r)!
22
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

31. Multiples of 3
(n-1)!
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.
3 - 6 - 9 - 12
s Sq. rt (x^r)

32. Average Rate: Average A per B
(total A) / (total B)
x - x - x(sq. rt 2)
Even
The probability of an event occurring plus the probability of the event not occurring = 1

33. (1/4)^2
Divide 4999 by 15 => 333 integers
1/16
1.4
Purchase price

34. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
2 steps
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
A = P(1 + r) ^n
Sum of digits is multiple of 3

35. Think of averages as what? The average of 3 - 4 - 5 - and x is 5. What is x? 3 is 2 less than 5 4 is 1 less than 5 - 5 is the average - x = 5 + 3 = 8
gcd(m,n)*lcm(m,n) = mn
principle (interest rate - in decimal form) (time - in years)
Balancing
y2 - y1 / x2 - x1

36. Set Problems formula
Balancing
1 - P(E)
at least 3 steps
(x-n(n)y-n)

37. Intersecting Sets
| A union B| = |A| + |B| - |A intersect B|
0.15n + 0.08(5) = 0.1(n+5)
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)

38. 5/6 = what %
Sum of digits is multiple of 9
83.3%
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.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

39. Sq. rt(3)
1.4
The amount after deductions
1.7
(sum of bases)(height) / 2

40. 30-60-90 triangle basic lengths of sides
Gross Profit = Selling Price - Cost
x(sq. rt 3) - x - 2x
(sum of bases)(height) / 2
A = P(1 + r) ^n

41. How to check whether a number is a multiple of 4.
2 steps
Last two digits are multiple of 4 or the number can be divided by 2 twice.
P(event NOT occurring) = 1 - P(event occurring)
Gross Profit = Selling Price - Cost

42. Volume of a sphere
347
Sum of digits is multiple of 3 - last two digits multiple of 4.
4/3 TT r ^3
x - x - x(sq. rt 2)

43. gcd(m,n)*lcm(m,n)
The amount after deductions
gcd(m,n)*lcm(m,n) = mn
p/100 = is/of
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

44. When you see an equation in factored form in a question?
12^3
Immediately UNFACTOR or vice versa
(n-1)!
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)

45. How to find all divisors of a number
Find all prime factors
Number is a multiple of 3 and 2
$11 - 025
P(E) + P(F) - P(E and F)

46. To determine the number of integers less than 5000 that are evenly divisible by 15...?
The probability of an event occurring plus the probability of the event not occurring = 1
p/100 = is/of
Divide 4999 by 15 => 333 integers
P(E)P(F)

47. 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?
2 steps
0.15n + 0.08(5) = 0.1(n+5)
______ |m-n|
Sum of digits is multiple of 3

48. Compound interest formula
Principal (1 + interest/number times compounded)^(t)(n)
Odd numbers only have ___________
The probability of event occurring is...
(x-n(n)y-n)

49. Properties of 0
Minor arc = 2(inscribed angle)
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
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Organize into a grid.

50. Number added or deleted
$11 - 025
(amount of change) / (original amount)
s Sq. rt (x^r)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)