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 = (average)(number of terms)
$11 - 025
The probability of an event occurring plus the probability of the event not occurring = 1
Sum of digits is multiple of 3 - last two digits multiple of 4.

2. Work problem rule
(total A) / (total B)
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.
(total distance) / (total time)
1.4

3. Price purchased for by wholesaler
1.4
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 liters
Purchase price

4. 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.
(n-1)!
Minor arc = 2(inscribed angle)
Sum of digits is multiple of 9

5. 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

6. How to find all divisors of a number
x(sq. rt 3) - x - 2x
Find all prime factors
Find simple interest then look for the answer that is a little bigger
Odd

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

8. 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?
1.7
always try to factor
14 liters
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

9. gcd(m,n)
______ |m-n|
Principal (1 + interest/number times compounded)^(t)(n)
Sum of digits is multiple of 9
1st Rule of Probability: Basic Rule is what?

10. 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.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
180(n-2)
Any multiplication involving an even number creates an even product.

11. Price sold for by retailer (after markup)
market value
n! / (n - r)!
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.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

12. Combined Events: Not E = P(not E) = ?
(total distance) / (total time)
1 - P(E)
Gross Profit = Selling Price - Cost
principle (interest rate - in decimal form) (time - in years)

13. 3^3 x 4^3 = ?
1.7
(total A) / (total B)
12^3
1

14. 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
4/3 TT r ^3
83.3%
12^3
Balancing

15. What to do with equations that have fractions
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
Immediately try factoring/simplifying when possible
always try to factor
sum = (average)(number of terms)

16. 2n+1 - 2n+3 - 2n+5
Principal (1 + interest/number times compounded)^(t)(n)
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)
Odd
14 liters

17. 0! = ?
Figure out the probability for each individual event. Multiply the individual probabilities together.
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
1

18. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Find simple interest then look for the answer that is a little bigger
1.7
2 steps
Divide 4999 by 15 => 333 integers

19. Set Problems formula
(x-n(n)y-n)
3 - 6 - 9 - 12
Odd numbers only have ___________
Find all prime factors

20. The number of outcomes that result in A divided by the total number of possible outcomes.
The probability of event occurring is...
Gross Profit = Selling Price - Cost
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
P(E) + P(F) - P(E and F)

21. 45-45-90 triangle basic lengths of sides
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.
x - x - x(sq. rt 2)
gcd(m,n)*lcm(m,n) = mn

22. 1/8 = what %
2 steps
12.5%
at least 3 steps
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

23. 1/6 = what %
(n-1)!
16.6%
2 steps
$11 - 025

24. 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?
The probability of event occurring is...
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.
0.15n + 0.08(5) = 0.1(n+5)
Organize into a grid.

25. Average Rate: Average speed
Purchase price
83.3%
Immediately try factoring/simplifying when possible
(total distance) / (total time)

26. 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

27. How to check whether a number is a multiple of 3.
Sum of digits is multiple of 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.
P(event NOT occurring) = 1 - P(event occurring)
Sum of digits is multiple of 3 - last two digits multiple of 4.

28. Compound interest formula
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.
The amount after deductions
(n-1)!
Principal (1 + interest/number times compounded)^(t)(n)

29. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
1.7
(n-1)!
P(E)P(F)
A = P(1 + r) ^n

30. How to find the slope.
Divide 4999 by 15 => 333 integers
(sum of bases)(height) / 2
y2 - y1 / x2 - x1
0.15n + 0.08(5) = 0.1(n+5)

31. Dependent events: When are two events said to be dependent events?
Figure out the probability for each individual event. Multiply the individual probabilities together.
(total distance) / (total time)
Immediately UNFACTOR or vice versa
If the outcome of one event affects the outcome of the other event.

32. 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
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.
x(sq. rt 3) - x - 2x
______ |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.

33. Permutations: Order Matters
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.
n! / (n - r)!
Sum of digits is multiple of 9
-b +- sq. rt(b^2 - 4ac) / 2a

34. 2n - 2n+2 - 2n+4
Even
1.4
p/100 = is/of
principle (interest rate - in decimal form) (time - in years)

35. Prime Factorization to find Greatest Common Factor
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. 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
Organize into a grid.
1

36. The average of consecutive numbers
4/3 TT r ^3
P(E) + P(F) - P(E and F)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Even

37. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
$11 - 025
14 liters
x - x - x(sq. rt 2)

38. 3rd Rule of Probability: Conditional Probability
Group 1 + Group 2 + Neither - Both = Total
16.6%
2 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.

39. Volume of a sphere
______ |m-n|
Principal (1 + interest/number times compounded)^(t)(n)
4/3 TT r ^3
$11 - 025

40. Combined Events: E or F
Immediately try factoring/simplifying when possible
P(E) + P(F) - P(E and F)
at least 3 steps
______ |m-n|

41. Probability and Geometry.
p/100 = is/of
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
Find all prime factors
The probability of event occurring is...

42. In general - medium 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.
A = P(1 + r) ^n
2 steps
market value

43. How to check whether number is multiple of 9
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Sum of digits is multiple of 9
(amount of change) / (original amount)
1 - P(E)

44. Gross
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
The total amount before any deductions
gcd(m,n)*lcm(m,n) = mn
Divide 4999 by 15 => 333 integers

45. Simple probability
(sum of bases)(height) / 2
14 liters
-b +- sq. rt(b^2 - 4ac) / 2a
(# of favorable outcomes) / (# of possible outcomes)

46. 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?
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
3-4-5 - 5-12-13 - 9-12-15
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.

47. 5/6 = what %
| A union B| = |A| + |B| - |A intersect B|
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)
Organize into a grid.
83.3%

48. (1/4)^2
1/16
Exterior angle d is equal to the sum of the two remote interior angles a and b
x - x - x(sq. rt 2)
Minor arc = 2(inscribed angle)

49. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
1
347
x(sq. rt 3) - x - 2x
2 steps

50. In general - difficult questions require how many steps to solve?
2 steps
Figure out the probability for each individual event. Multiply the individual probabilities together.
The probability of event occurring is...
at least 3 steps