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. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
Immediately try factoring/simplifying when possible
$11 - 025
at least 3 steps
gcd(m,n)*lcm(m,n) = mn

2. Formula for area of a Trapezoid
sum = (average)(number of terms)
2 steps
(sum of bases)(height) / 2
Last two digits are multiple of 4 or the number can be divided by 2 twice.

3. x^r/s = ?
s Sq. rt (x^r)
2 steps
Even
Sum of digits is multiple of 9

4. 1/8 = what %
P(E) + P(F) - P(E and F)
______ |m-n|
12.5%
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

5. Simple probability
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Figure out the probability for each individual event. Multiply the individual probabilities together.
(# of favorable outcomes) / (# of possible outcomes)
Number is a multiple of 3 and 2

6. In general - difficult questions require how many steps to solve?
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1.7
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.
at least 3 steps

7. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
0.15n + 0.08(5) = 0.1(n+5)
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.
D or E
1st Rule of Probability: Basic Rule is what?

8. Compound interest formula
x(sq. rt 3) - x - 2x
14 liters
Principal (1 + interest/number times compounded)^(t)(n)
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.

9. Percent increase = ?
1 - P(E)
(amount of change) / (original amount)
2 steps
Number is a multiple of 3 and 2

10. To determine multiple-event probability where each individual event must occur in a certain way.
1.7
Immediately UNFACTOR or vice versa
Figure out the probability for each individual event. Multiply the individual probabilities together.
Any multiplication involving an even number creates an even product.

11. Sq. rt(3)
market value
Balancing
1.7
(n-1)!

12. How to check whether a number is a multiple of 12.
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.
always try to factor
Sum of digits is multiple of 3 - last two digits multiple of 4.
P(E)P(F)

13. 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

14. Prime Factorization to find Greatest Common Factor
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
Sum of digits is multiple of 9
P(E)P(F)
s Sq. rt (x^r)

15. How to find all divisors of a number
P(event NOT occurring) = 1 - P(event occurring)
Find all prime factors
P(E) + P(F) - P(E and F)
3 - 6 - 9 - 12

16. Number added or deleted
If the outcome of one event affects the outcome of the other event.
P(E)P(F)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
1.4

17. gcd(m,n)
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.
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
______ |m-n|
(amount of change) / (original amount)

18. Triangle abc with d on the outside with a line. What does d = ?
12.5%
x(sq. rt 3) - x - 2x
Exterior angle d is equal to the sum of the two remote interior angles a and b
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

19. Probability and Geometry.
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 digits is multiple of 9
2 steps
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.

20. Odd Factors
2 steps
Odd numbers only have ___________
Immediately try factoring/simplifying when possible
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

21. Formula for Mixed Group problems (involving Both/Neither)
Figure out the probability for each individual event. Multiply the individual probabilities together.
(total A) / (total B)
n! / (n - r)!
Group 1 + Group 2 + Neither - Both = Total

22. 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
______ |m-n|
1.7
(amount of change) / (original amount)
Balancing

23. How to check whether number is multiple of 9
Sum of digits is multiple of 9
sum = (average)(number of terms)
Divide 4999 by 15 => 333 integers
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

24. How to check whether a number is a multiple of 3.
2 steps
Sum of digits is multiple of 3
Organize into a grid.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

25. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
D or E
A = P(1 + r) ^n
14 liters
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

26. How to find the slope.
P(event NOT occurring) = 1 - P(event occurring)
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
y2 - y1 / x2 - x1
(x-n(n)y-n)

27. Gross Profit formula
Gross Profit = Selling Price - Cost
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 integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

28. Multiples of 3
(sum of bases)(height) / 2
14 liters
3 - 6 - 9 - 12
1st Rule of Probability: Basic Rule is what?

29. How to check whether a number is a multiple of 6
Number is a multiple of 3 and 2
Last two digits are multiple of 4 or the number can be divided by 2 twice.
83.3%
at least 3 steps

30. (1/4)^2
n! / (n - r)!
1/16
Sum of digits is multiple of 3 - last two digits multiple of 4.
market value

31. 1/6 = what %
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.
1/16
16.6%
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)

32. 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.
sum = (average)(number of terms)
1
The amount after deductions
Organize into a grid.

33. 3rd Rule of Probability: Conditional Probability
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
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
A = P(1 + r) ^n

34. gcd(m,n)*lcm(m,n)
Odd numbers only have ___________
gcd(m,n)*lcm(m,n) = mn
x(sq. rt 3) - x - 2x
Gross Profit = Selling Price - Cost

35. Combined Events: E or F
P(E) + P(F) - P(E and F)
Minor arc = 2(inscribed angle)
y2 - y1 / x2 - x1
A = P(1 + r) ^n

36. 3^3 x 4^3 = ?
12^3
1st Rule of Probability: Basic Rule is what?
(total distance) / (total time)
3 - 6 - 9 - 12

37. The number of outcomes that result in A divided by the total number of possible outcomes.
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.
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.
Find simple interest then look for the answer that is a little bigger

38. 45-45-90 triangle basic lengths of sides
If the outcome of one event affects the outcome of the other event.
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 - x - x(sq. rt 2)
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.

39. Percent Formula
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 = (average)(number of terms)
p/100 = is/of
Organize into a grid.

40. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
always try to factor
P(event NOT occurring) = 1 - P(event occurring)
Figure out the probability for each individual event. Multiply the individual probabilities together.

41. Three triangle length patterns
p/100 = is/of
Odd
3-4-5 - 5-12-13 - 9-12-15
1st Rule of Probability: Basic Rule is what?

42. When you see an equation in factored form in a question?
Organize into a grid.
1.4
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
Immediately UNFACTOR or vice versa

43. What to do with equations that have fractions
Immediately try factoring/simplifying when possible
Exterior angle d is equal to the sum of the two remote interior angles a and b
Odd
1.7

44. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Immediately try factoring/simplifying when possible
3-4-5 - 5-12-13 - 9-12-15
sum = (average)(number of terms)

45. Price purchased for by wholesaler
Purchase price
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
(x-n(n)y-n)
180(n-2)

46. 4th rule of Probability
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)
P(event NOT occurring) = 1 - P(event occurring)
(amount of change) / (original amount)
P(E)P(F)

47. Compound interest rule
1
| A union B| = |A| + |B| - |A intersect B|
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Find simple interest then look for the answer that is a little bigger

48. Sq. rt(2)
1.7
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.
1.4
P(event NOT occurring) = 1 - P(event occurring)

49. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
P(event NOT occurring) = 1 - P(event occurring)
Any multiplication involving an even number creates an even product.
x - x - x(sq. rt 2)
22

50. 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
Sum of digits is multiple of 3
347
180(n-2)
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.