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. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
The total amount before any deductions
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Sum of digits is multiple of 3

2. Percent Formula
Sum of digits is multiple of 3 - last two digits multiple of 4.
1.7
p/100 = is/of
D or E

3. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
If the outcome of one event affects the outcome of the other event.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
14 liters
principle (interest rate - in decimal form) (time - in years)

4. gcd(m,n)
______ |m-n|
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.
1.4
P(E)P(F)

5. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
Gross Profit = Selling Price - Cost
n! / (n - r)!
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
p/100 = is/of

6. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
Number is a multiple of 3 and 2
A = P(1 + r) ^n
Principal (1 + interest/number times compounded)^(t)(n)
(total A) / (total B)

7. Multiples of 3
Group 1 + Group 2 + Neither - Both = Total
Any multiplication involving an even number creates an even product.
3 - 6 - 9 - 12
-b +- sq. rt(b^2 - 4ac) / 2a

8. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Divide 4999 by 15 => 333 integers
Odd numbers only have ___________
12^3
-b +- sq. rt(b^2 - 4ac) / 2a

9. 45-45-90 triangle basic lengths of sides
0.15n + 0.08(5) = 0.1(n+5)
x(sq. rt 3) - x - 2x
16.6%
x - x - x(sq. rt 2)

10. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
12^3
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
347
$11 - 025

11. Three triangle length patterns
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.
3-4-5 - 5-12-13 - 9-12-15
If the outcome of one event affects the outcome of the other event.
(total A) / (total B)

12. Gross Profit formula
______ |m-n|
(total distance) / (total time)
Gross Profit = Selling Price - Cost
Organize into a grid.

13. 3^3 x 4^3 = ?
gcd(m,n)*lcm(m,n) = mn
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
-b +- sq. rt(b^2 - 4ac) / 2a
12^3

14. Quadratic formula
x(sq. rt 3) - x - 2x
-b +- sq. rt(b^2 - 4ac) / 2a
A = P(1 + r) ^n
4/3 TT r ^3

15. The number of ways independent events can occur together.
2 steps
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Purchase price
Find simple interest then look for the answer that is a little bigger

16. 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
Balancing
P(E)P(F)
Divide 4999 by 15 => 333 integers
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.

17. 1/8 = what %
4/3 TT r ^3
12.5%
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.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

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
sum = (average)(number of terms)
22

19. Number added or deleted
Last two digits are multiple of 4 or the number can be divided by 2 twice.
22
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
1st Rule of Probability: Basic Rule is what?

20. Properties of 0
P(E) + P(F) - P(E and F)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
14 liters
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

21. How to check whether a number is a multiple of 3.
Sum of digits is multiple of 3
Principal (1 + interest/number times compounded)^(t)(n)
The total amount before any deductions
Number is a multiple of 3 and 2

22. 0! = ?
347
1
n! / (n - r)!
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

23. Dependent events: When are two events said to be dependent events?
The amount after deductions
If the outcome of one event affects the outcome of the other event.
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.
P(event NOT occurring) = 1 - P(event occurring)

24. Formula for Mixed Group problems (involving Both/Neither)
P(E)P(F)
Group 1 + Group 2 + Neither - Both = Total
1st Rule of Probability: Basic Rule is what?
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

25. Triangle abc with d on the outside with a line. What does d = ?
1
Group 1 + Group 2 + Neither - Both = Total
Exterior angle d is equal to the sum of the two remote interior angles a and b
347

26. 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.
1st Rule of Probability: Basic Rule is what?
Number is a multiple of 3 and 2
P(E) + P(F) - P(E and F)
The probability of event occurring is...

27. To determine multiple-event probability where each individual event must occur in a certain way.
principle (interest rate - in decimal form) (time - in years)
Figure out the probability for each individual event. Multiply the individual probabilities together.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Even

28. Price purchased for by wholesaler
Purchase price
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
(sum of bases)(height) / 2
3-4-5 - 5-12-13 - 9-12-15

29. Average Rate: Average A per B
Minor arc = 2(inscribed angle)
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.
n! / (n - r)!
(total A) / (total B)

30. Work problem rule
If the outcome of one event affects the outcome of the other event.
Immediately try factoring/simplifying when possible
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.
2 steps

31. Formula for area of a Trapezoid
4/3 TT r ^3
n! / (n - r)!
(sum of bases)(height) / 2
Minor arc = 2(inscribed angle)

32. How to check whether a number is a multiple of 6
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
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
Number is a multiple of 3 and 2

33. Price sold for by retailer (after markup)
(total distance) / (total time)
Purchase price
12.5%
market value

34. 3rd Rule of Probability: Conditional Probability
sum = (average)(number of terms)
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.
14 liters
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

35. 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?
P(E) + P(F) - P(E and F)
3 - 6 - 9 - 12
Balancing
14 liters

36. 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?
1
Number is a multiple of 3 and 2
Find all prime factors
0.15n + 0.08(5) = 0.1(n+5)

37. Multiplication principle
3 - 6 - 9 - 12
| A union B| = |A| + |B| - |A intersect B|
s Sq. rt (x^r)
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

38. What does the Sum of the angles in a Regular Polygon formula look like?
12.5%
180(n-2)
83.3%
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

39. In general - difficult questions require how many steps to solve?
at least 3 steps
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.
x - x - x(sq. rt 2)

40. 4th rule of Probability
A = P(1 + r) ^n
always try to factor
1.7
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)

41. Gross
4/3 TT r ^3
(total distance) / (total time)
1/16
The total amount before any deductions

42. How to check whether a number is a multiple of 4.
P(E)P(F)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
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

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. Combined Events: Not E = P(not E) = ?
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Minor arc = 2(inscribed angle)
Odd
1 - P(E)

45. How to check whether number is multiple of 9
3-4-5 - 5-12-13 - 9-12-15
D or E
Sum of digits is multiple of 9
Find simple interest then look for the answer that is a little bigger

46. Odd Factors
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
1.7
Odd numbers only have ___________
Sum of digits is multiple of 3 - last two digits multiple of 4.

47. Set Problems formula
(x-n(n)y-n)
12^3
Find all prime factors
3-4-5 - 5-12-13 - 9-12-15

48. 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

49. Compound interest rule
The probability of event occurring is...
Find simple interest then look for the answer that is a little bigger
at least 3 steps
Group 1 + Group 2 + Neither - Both = Total

50. 5/6 = what %
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)
83.3%
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.