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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. Odd Factors
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.
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.
(amount of change) / (original amount)

2. 5/6 = what %
1.4
A = P(1 + r) ^n
gcd(m,n)*lcm(m,n) = mn
83.3%

3. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
22
1/16
Group 1 + Group 2 + Neither - Both = Total
180(n-2)

4. Sq. rt(2)
A = P(1 + r) ^n
1.4
83.3%
Sum of digits is multiple of 3 - last two digits multiple of 4.

5. In general - difficult questions require how many steps to solve?
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
Odd numbers only have ___________
at least 3 steps

6. Odd and Even rule.
______ |m-n|
Any multiplication involving an even number creates an even product.
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
3-4-5 - 5-12-13 - 9-12-15

7. 2n - 2n+2 - 2n+4
Find simple interest then look for the answer that is a little bigger
Even
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.
14 liters

8. In general - medium questions require how many steps to solve?
1.7
2 steps
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
(n-1)!

9. How to check whether a number is a multiple of 6
$11 - 025
Immediately UNFACTOR or vice versa
P(E)P(F)
Number is a multiple of 3 and 2

10. What does the Sum of the angles in a Regular Polygon formula look like?
-b +- sq. rt(b^2 - 4ac) / 2a
180(n-2)
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)
16.6%

11. To determine multiple-event probability where each individual event must occur in a certain way.
Figure out the probability for each individual event. Multiply the individual probabilities together.
1.4
Odd
3 - 6 - 9 - 12

12. Multiplication principle
16.6%
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
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Even

13. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
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)
y2 - y1 / x2 - x1
0.15n + 0.08(5) = 0.1(n+5)

14. 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
______ |m-n|
P(E)P(F)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

15. (1/4)^2
Find all prime factors
$11 - 025
0.15n + 0.08(5) = 0.1(n+5)
1/16

16. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
x - x - x(sq. rt 2)
A = P(1 + r) ^n
If the outcome of one event affects the outcome of the other event.
Sum of digits is multiple of 3

17. Indistinguishable events how to find the number of permutations

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18. The number of ways independent events can occur together.
3 - 6 - 9 - 12
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.
market value

19. Properties of 0
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
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
Principal (1 + interest/number times compounded)^(t)(n)
1st Rule of Probability: Basic Rule is what?

20. 2nd Rule of Probability: P(E) = 1 - P(not E)
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
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
The probability of an event occurring plus the probability of the event not occurring = 1
1

21. Inscribed Angle - Minor Arc
347
Group 1 + Group 2 + Neither - Both = Total
Minor arc = 2(inscribed angle)
Even

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
Balancing
If the outcome of one event affects the outcome of the other event.
Immediately UNFACTOR or vice versa
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. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
D or E
x(sq. rt 3) - x - 2x
Figure out the probability for each individual event. Multiply the individual probabilities together.
gcd(m,n)*lcm(m,n) = mn

24. Intersecting Sets
Immediately try factoring/simplifying when possible
1
| A union B| = |A| + |B| - |A intersect B|
always try to factor

25. How to check for a prime number.

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26. 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?
A = P(1 + r) ^n
1.4
Last two digits are multiple of 4 or the number can be divided by 2 twice.
14 liters

27. Simple probability
22
x(sq. rt 3) - x - 2x
(# of favorable outcomes) / (# of possible outcomes)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

28. How to check whether number is multiple of 9
Sum of digits is multiple of 9
Organize into a grid.
Principal (1 + interest/number times compounded)^(t)(n)
n! / (n - r)!

29. Combined Events: E or F
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(E) + P(F) - P(E and F)
12^3
Sum of digits is multiple of 3 - last two digits multiple of 4.

30. 0! = ?
1
The total amount before any deductions
Purchase price
347

31. To determine the number of integers less than 5000 that are evenly divisible by 15...?
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
83.3%
s Sq. rt (x^r)
Divide 4999 by 15 => 333 integers

32. 3^3 x 4^3 = ?
12^3
Number is a multiple of 3 and 2
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
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

33. Average Rate: Average A per B
The amount after deductions
x - x - x(sq. rt 2)
(total A) / (total B)
Group 1 + Group 2 + Neither - Both = Total

34. Number added or deleted
4/3 TT r ^3
0.15n + 0.08(5) = 0.1(n+5)
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

35. Dependent events: When are two events said to be dependent events?
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
If the outcome of one event affects the outcome of the other event.
Purchase price
market value

36. How to check whether a number is a multiple of 4.
The amount after deductions
12^3
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.

37. Trial Problems: look at the probability of NOT OCCURRING
1
(# of favorable outcomes) / (# of possible outcomes)
(amount of change) / (original amount)
P(event NOT occurring) = 1 - P(event occurring)

38. Price purchased for by wholesaler
s Sq. rt (x^r)
Any multiplication involving an even number creates an even product.
(sum of bases)(height) / 2
Purchase price

39. 1/8 = what %
12.5%
180(n-2)
The probability of event occurring is...
Odd numbers only have ___________

40. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
1.4
$11 - 025
s Sq. rt (x^r)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

41. Percent increase = ?
(amount of change) / (original amount)
2 steps
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
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)

42. Sq. rt(3)
14 liters
Balancing
1.7
Gross Profit = Selling Price - Cost

43. Work problem rule
(x-n(n)y-n)
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)
Purchase price

44. Gross Profit formula
Balancing
Organize into a grid.
Gross Profit = Selling Price - Cost
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. 1/6 = what %
16.6%
y2 - y1 / x2 - x1
Even
P(E) + P(F) - P(E and F)

46. The number of outcomes that result in A divided by the total number of possible outcomes.
principle (interest rate - in decimal form) (time - in years)
The probability of event occurring is...
1.7
1/16

47. Compound interest rule
14 liters
If the outcome of one event affects the outcome of the other event.
x - x - x(sq. rt 2)
Find simple interest then look for the answer that is a little bigger

48. 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
at least 3 steps
Group 1 + Group 2 + Neither - Both = Total
2 steps
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.

49. When you see an equation in factored form in a question?
Odd numbers only have ___________
______ |m-n|
Immediately UNFACTOR or vice versa
principle (interest rate - in decimal form) (time - in years)

50. The average of consecutive numbers
y2 - y1 / x2 - x1
(total A) / (total B)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Find simple interest then look for the answer that is a little bigger