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 added or deleted
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 = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Sum of digits is multiple of 3
The amount after deductions

2. x^r/s = ?
180(n-2)
The probability of an event occurring plus the probability of the event not occurring = 1
p/100 = is/of
s Sq. rt (x^r)

3. How do you multiply roots together.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
3-4-5 - 5-12-13 - 9-12-15
1 - P(E)
Last two digits are multiple of 4 or the number can be divided by 2 twice.

4. 2n - 2n+2 - 2n+4
180(n-2)
Sum of digits is multiple of 9
22
Even

5. In general - difficult questions require how many steps to solve?
0.15n + 0.08(5) = 0.1(n+5)
1st Rule of Probability: Basic Rule is what?
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
at least 3 steps

6. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Immediately UNFACTOR or vice versa
(# of favorable outcomes) / (# of possible outcomes)
22

7. Price purchased for by wholesaler
Purchase price
A = P(1 + r) ^n
Number is a multiple of 3 and 2
1 - P(E)

8. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
Group 1 + Group 2 + Neither - Both = Total
12.5%
2 steps
$11 - 025

9. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
principle (interest rate - in decimal form) (time - in years)
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
(x-n(n)y-n)

10. In general - medium questions require how many steps to solve?
gcd(m,n)*lcm(m,n) = mn
The total amount before any deductions
$11 - 025
2 steps

11. Always try to factor
The amount after deductions
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
always try to factor

12. 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?
0.15n + 0.08(5) = 0.1(n+5)
P(event NOT occurring) = 1 - P(event occurring)
x - x - x(sq. rt 2)
Sum of digits is multiple of 9

13. 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.
0.15n + 0.08(5) = 0.1(n+5)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Sum of digits is multiple of 9

14. Dependent events: When are two events said to be dependent events?
(total A) / (total B)
Gross Profit = Selling Price - Cost
If the outcome of one event affects the outcome of the other event.
Even

15. Price sold for by retailer (after markup)
The probability of event occurring is...
market value
Minor arc = 2(inscribed angle)
P(E) + P(F) - P(E and F)

16. Gross Profit formula
Gross Profit = Selling Price - Cost
Find simple interest then look for the answer that is a little bigger
(# of favorable outcomes) / (# of possible outcomes)
principle (interest rate - in decimal form) (time - in years)

17. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
1
at least 3 steps
Organize into a grid.

18. Properties of 0
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
______ |m-n|
Figure out the probability for each individual event. Multiply the individual probabilities together.
P(event NOT occurring) = 1 - P(event occurring)

19. 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

20. 5/6 = what %
83.3%
12^3
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
3-4-5 - 5-12-13 - 9-12-15

21. Trial Problems: look at the probability of NOT OCCURRING
P(event NOT occurring) = 1 - P(event occurring)
gcd(m,n)*lcm(m,n) = mn
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.

22. Simple probability
(# of favorable outcomes) / (# of possible outcomes)
Any multiplication involving an even number creates an even product.
| A union B| = |A| + |B| - |A intersect B|
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.

23. How to check whether a number is a multiple of 6
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.
Sum of digits is multiple of 3
Divide 4999 by 15 => 333 integers

24. The number of ways independent events can occur together.
Immediately try factoring/simplifying when possible
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Sum of digits is multiple of 3 - last two digits multiple of 4.
Sum of digits is multiple of 9

25. What does the Sum of the angles in a Regular Polygon formula look like?
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
Odd
3 - 6 - 9 - 12
180(n-2)

26. 2n+1 - 2n+3 - 2n+5
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
14 liters
Sum of digits is multiple of 3
Odd

27. Compound interest formula
Principal (1 + interest/number times compounded)^(t)(n)
market value
347
12.5%

28. Odd Factors
Principal (1 + interest/number times compounded)^(t)(n)
1 - P(E)
Odd numbers only have ___________
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

29. Combined Events: E or F
x(sq. rt 3) - x - 2x
sum = (average)(number of terms)
______ |m-n|
P(E) + P(F) - P(E and F)

30. Probability and Geometry.
22
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
1/16

31. Gross
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
1st Rule of Probability: Basic Rule is what?
The probability of event occurring is...
The total amount before any deductions

32. 1/6 = what %
16.6%
Odd numbers only have ___________
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Gross Profit = Selling Price - Cost

33. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
| A union B| = |A| + |B| - |A intersect B|
4/3 TT r ^3
y2 - y1 / x2 - x1

34. The number of outcomes that result in A divided by the total number of possible outcomes.
12.5%
The probability of event occurring is...
The amount after deductions
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.

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
Balancing
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
(total A) / (total B)
Principal (1 + interest/number times compounded)^(t)(n)

36. 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.
y2 - y1 / x2 - x1
Immediately UNFACTOR or vice versa
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)
1st Rule of Probability: Basic Rule is what?

37. 3^3 x 4^3 = ?
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)
12^3
(amount of change) / (original amount)
Immediately try factoring/simplifying when possible

38. Combined Events: E and F
Odd numbers only have ___________
P(E)P(F)
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)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

39. Formula for Mixed Group problems (involving Both/Neither)
Number is a multiple of 3 and 2
Group 1 + Group 2 + Neither - Both = Total
Gross Profit = Selling Price - Cost
1.4

40. Inscribed Angle - Minor Arc
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
Minor arc = 2(inscribed angle)
at least 3 steps
Gross Profit = Selling Price - Cost

41. 1/8 = what %
Sum of digits is multiple of 9
gcd(m,n)*lcm(m,n) = mn
A = P(1 + r) ^n
12.5%

42. Average Rate: Average speed
180(n-2)
The amount after deductions
Sum of digits is multiple of 3 - last two digits multiple of 4.
(total distance) / (total time)

43. 45-45-90 triangle basic lengths of sides
x - x - x(sq. rt 2)
Gross Profit = Selling Price - Cost
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.
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

44. 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

45. Triangle abc with d on the outside with a line. What does d = ?
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.
market value
Exterior angle d is equal to the sum of the two remote interior angles a and b
(x-n(n)y-n)

46. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
D or E
Sum of digits is multiple of 9
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.
14 liters

47. 30-60-90 triangle basic lengths of sides
The probability of an event occurring plus the probability of the event not occurring = 1
1
market value
x(sq. rt 3) - x - 2x

48. gcd(m,n)
180(n-2)
The probability of event occurring is...
1.4
______ |m-n|

49. What to do with equations that have fractions
(x-n(n)y-n)
Immediately try factoring/simplifying when possible
(total distance) / (total time)
y2 - y1 / x2 - x1

50. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Divide 4999 by 15 => 333 integers
s Sq. rt (x^r)
Gross Profit = Selling Price - Cost
Organize into a grid.