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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. How to check for a prime number.

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2. 1/6 = what %
p/100 = is/of
Exterior angle d is equal to the sum of the two remote interior angles a and b
12.5%
16.6%

3. Gross
Exterior angle d is equal to the sum of the two remote interior angles a and b
at least 3 steps
The total amount before any deductions
12^3

4. Compound interest formula
(amount of change) / (original amount)
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
(n-1)!
Principal (1 + interest/number times compounded)^(t)(n)

5. 3rd Rule of Probability: Conditional Probability
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.
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

6. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
1.4
Sum of digits is multiple of 3
(total distance) / (total time)
A = P(1 + r) ^n

7. Gross Profit formula
market value
Gross Profit = Selling Price - Cost
(sum of bases)(height) / 2
Principal (1 + interest/number times compounded)^(t)(n)

8. How to check whether a number is a multiple of 6
s Sq. rt (x^r)
$11 - 025
(n-1)!
Number is a multiple of 3 and 2

9. How do you multiply roots together.
(total distance) / (total time)
gcd(m,n)*lcm(m,n) = mn
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Any multiplication involving an even number creates an even product.

10. Quadratic formula
Immediately try factoring/simplifying when possible
1 - P(E)
-b +- sq. rt(b^2 - 4ac) / 2a
(total distance) / (total time)

11. Price sold for by retailer (after markup)
If the outcome of one event affects the outcome of the other event.
P(E) + P(F) - P(E and F)
The probability of an event occurring plus the probability of the event not occurring = 1
market value

12. How to check whether number is multiple of 9
Gross Profit = Selling Price - Cost
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.
Sum of digits is multiple of 9
Minor arc = 2(inscribed angle)

13. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
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)
Even
22
Figure out the probability for each individual event. Multiply the individual probabilities together.

14. Intersecting Sets
Find all prime factors
gcd(m,n)*lcm(m,n) = mn
| A union B| = |A| + |B| - |A intersect B|
x - x - x(sq. rt 2)

15. Sum of consecutive numbers
gcd(m,n)*lcm(m,n) = mn
sum = (average)(number of terms)
$11 - 025
347

16. 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.
Balancing
1st Rule of Probability: Basic Rule is what?
The total amount before any deductions
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)

17. Multiples of 3
2 steps
3 - 6 - 9 - 12
s Sq. rt (x^r)
| A union B| = |A| + |B| - |A intersect B|

18. Percent increase = ?
(amount of change) / (original amount)
s Sq. rt (x^r)
Purchase price
Find simple interest then look for the answer that is a little bigger

19. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
D or E
Purchase price
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.
(amount of change) / (original amount)

20. Simple probability
1.7
x - x - x(sq. rt 2)
(# of favorable outcomes) / (# of possible outcomes)
(amount of change) / (original amount)

21. What does the Sum of the angles in a Regular Polygon formula look like?
(sum of bases)(height) / 2
x - x - x(sq. rt 2)
180(n-2)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

22. Number added or deleted
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
The probability of an event occurring plus the probability of the event not occurring = 1
P(E)P(F)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

23. How to check whether a number is a multiple of 4.
market value
Last two digits are multiple of 4 or the number can be divided by 2 twice.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
x(sq. rt 3) - x - 2x

24. Inscribed Angle - Minor Arc
Minor arc = 2(inscribed angle)
(total A) / (total B)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
The probability of an event occurring plus the probability of the event not occurring = 1

25. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
4/3 TT r ^3
1
Even
(n-1)!

26. Formula for Mixed Group problems (involving Both/Neither)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
The amount after deductions
Group 1 + Group 2 + Neither - Both = Total
Immediately try factoring/simplifying when possible

27. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
$11 - 025
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
(total distance) / (total time)
12^3

28. gcd(m,n)
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.
22
______ |m-n|

29. Dependent events: When are two events said to be dependent events?
If the outcome of one event affects the outcome of the other event.
1 - P(E)
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
x - x - x(sq. rt 2)

30. How to find all divisors of a number
12^3
14 liters
Find all prime factors
at least 3 steps

31. Volume of a sphere
4/3 TT r ^3
always try to factor
(x-n(n)y-n)
| A union B| = |A| + |B| - |A intersect B|

32. 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?
always try to factor
0.15n + 0.08(5) = 0.1(n+5)
14 liters
-b +- sq. rt(b^2 - 4ac) / 2a

33. Always try to factor
347
always try to factor
Gross Profit = Selling Price - Cost
Find all prime factors

34. 2n - 2n+2 - 2n+4
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
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)
1.7
Even

35. 1/8 = what %
Exterior angle d is equal to the sum of the two remote interior angles a and b
12.5%
Odd
The amount after deductions

36. Trial Problems: look at the probability of NOT OCCURRING
(# of favorable outcomes) / (# of possible outcomes)
P(event NOT occurring) = 1 - P(event occurring)
Organize into a grid.
Sum of digits is multiple of 3

37. Average Rate: Average speed
22
market value
(total distance) / (total time)
Any multiplication involving an even number creates an even product.

38. How to check whether a number is a multiple of 3.
sum = (average)(number of terms)
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.
Sum of digits is multiple of 3
Gross Profit = Selling Price - Cost

39. 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.
12^3
Sum of digits is multiple of 3
3 - 6 - 9 - 12

40. Probability and Geometry.
(n-1)!
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
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
3-4-5 - 5-12-13 - 9-12-15

41. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
P(E)P(F)
principle (interest rate - in decimal form) (time - in years)
22

42. 2n+1 - 2n+3 - 2n+5
1
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.
Odd
n! / (n - r)!

43. 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
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 - last two digits multiple of 4.
14 liters
Balancing

44. Price purchased for by wholesaler
14 liters
2 steps
| A union B| = |A| + |B| - |A intersect B|
Purchase price

45. 2nd Rule of Probability: P(E) = 1 - P(not E)
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 = (average)(number of terms)
The probability of an event occurring plus the probability of the event not occurring = 1
83.3%

46. Average Rate: Average A per B
Any multiplication involving an even number creates an even product.
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
(total A) / (total B)
P(E) + P(F) - P(E and F)

47. Sq. rt(3)
1
4/3 TT r ^3
1.7
The probability of an event occurring plus the probability of the event not occurring = 1

48. Odd Factors
A = P(1 + r) ^n
Odd numbers only have ___________
1st Rule of Probability: Basic Rule is what?
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

49. x^r/s = ?
The probability of an event occurring plus the probability of the event not occurring = 1
Balancing
s Sq. rt (x^r)
3 - 6 - 9 - 12

50. The number of outcomes that result in A divided by the total number of possible outcomes.
-b +- sq. rt(b^2 - 4ac) / 2a
market value
The probability of event occurring is...
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.