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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. What to do with equations that have fractions
Immediately try factoring/simplifying when possible
83.3%
x - x - x(sq. rt 2)
Odd numbers only have ___________

2. 3rd Rule of Probability: Conditional Probability
Group 1 + Group 2 + Neither - Both = Total
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.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
1.7

3. Sum of consecutive numbers
83.3%
sum = (average)(number of terms)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Divide 4999 by 15 => 333 integers

4. Price sold for by retailer (after markup)
Organize into a grid.
market value
The probability of event occurring is...
Principal (1 + interest/number times compounded)^(t)(n)

5. Percent Formula
always try to factor
p/100 = is/of
P(E)P(F)
Minor arc = 2(inscribed angle)

6. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
Even
22
(amount of change) / (original amount)
(n-1)!

7. How to check for a prime number.

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8. 5/6 = what %
83.3%
x(sq. rt 3) - x - 2x
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)

9. Indistinguishable events how to find the number of permutations

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10. Formula for area of a Trapezoid
y2 - y1 / x2 - x1
16.6%
(sum of bases)(height) / 2
(n-1)!

11. How to check whether number is multiple of 9
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Sum of digits is multiple of 9
______ |m-n|
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

12. The average of consecutive numbers
Odd numbers only have ___________
P(event NOT occurring) = 1 - P(event occurring)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
1.7

13. 4th rule of Probability
Purchase price
(# of favorable outcomes) / (# of possible outcomes)
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)
The amount after deductions

14. 1/8 = what %
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 numbers only have ___________
12.5%
x(sq. rt 3) - x - 2x

15. In general - medium questions require how many steps to solve?
2 steps
(# of favorable outcomes) / (# of possible outcomes)
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
-b +- sq. rt(b^2 - 4ac) / 2a

16. Compound interest formula
Principal (1 + interest/number times compounded)^(t)(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.
16.6%
1 - P(E)

17. Work problem rule
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
Immediately UNFACTOR or vice versa
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

18. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
y2 - y1 / x2 - x1
1
Any multiplication involving an even number creates an even product.

19. Set Problems formula
Gross Profit = Selling Price - Cost
347
(x-n(n)y-n)
Divide 4999 by 15 => 333 integers

20. Average Rate: Average speed
always try to factor
(total distance) / (total time)
| A union B| = |A| + |B| - |A intersect B|
1.7

21. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
A = P(1 + r) ^n
Principal (1 + interest/number times compounded)^(t)(n)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
______ |m-n|

22. Prime Factorization to find Greatest Common Factor
Organize into a grid.
22
(x-n(n)y-n)
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

23. 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.
always try to factor
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
1st Rule of Probability: Basic Rule is what?
p/100 = is/of

24. Price purchased for by wholesaler
Principal (1 + interest/number times compounded)^(t)(n)
gcd(m,n)*lcm(m,n) = mn
Purchase price
always try to factor

25. 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
(x-n(n)y-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.
Find simple interest then look for the answer that is a little bigger
(amount of change) / (original amount)

26. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
P(event NOT occurring) = 1 - P(event occurring)
Exterior angle d is equal to the sum of the two remote interior angles a and b
347
(n-1)!

27. The number of outcomes that result in A divided by the total number of possible outcomes.
83.3%
gcd(m,n)*lcm(m,n) = mn
The probability of event occurring is...
(total distance) / (total time)

28. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
(n-1)!
$11 - 025
The amount after deductions
principle (interest rate - in decimal form) (time - in years)

29. 1/6 = what %
P(E)P(F)
Divide 4999 by 15 => 333 integers
16.6%
$11 - 025

30. 30-60-90 triangle basic lengths of sides
3-4-5 - 5-12-13 - 9-12-15
(x-n(n)y-n)
Last two digits are multiple of 4 or the number can be divided by 2 twice.
x(sq. rt 3) - x - 2x

31. Gross Profit formula
1 - P(E)
p/100 = is/of
16.6%
Gross Profit = Selling Price - Cost

32. How to find all divisors of a number
Figure out the probability for each individual event. Multiply the individual probabilities together.
Find all prime factors
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
at least 3 steps

33. Net
n! / (n - r)!
The amount after deductions
3 - 6 - 9 - 12
83.3%

34. 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?
(total distance) / (total time)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
0.15n + 0.08(5) = 0.1(n+5)
16.6%

35. x^r/s = ?
1st Rule of Probability: Basic Rule is what?
(total distance) / (total time)
Odd numbers only have ___________
s Sq. rt (x^r)

36. 2nd Rule of Probability: P(E) = 1 - P(not E)
The probability of an event occurring plus the probability of the event not occurring = 1
Organize into a grid.
22
(total A) / (total B)

37. How do you multiply roots together.
1.4
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
22

38. Properties of 0
22
at least 3 steps
(n-1)!
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

39. The number of ways independent events can occur together.
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 number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
gcd(m,n)*lcm(m,n) = mn
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

40. Always try to factor
always try to factor
P(E)P(F)
s Sq. rt (x^r)
| A union B| = |A| + |B| - |A intersect B|

41. Percent increase = ?
s Sq. rt (x^r)
n! / (n - r)!
(amount of change) / (original amount)
The probability of event occurring is...

42. Number added or deleted
14 liters
Any multiplication involving an even number creates an even product.
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 = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

43. (1/4)^2
1/16
Divide 4999 by 15 => 333 integers
-b +- sq. rt(b^2 - 4ac) / 2a
1st Rule of Probability: Basic Rule is what?

44. 3^3 x 4^3 = ?
(x-n(n)y-n)
12^3
22
(# of favorable outcomes) / (# of possible outcomes)

45. Gross
12.5%
Figure out the probability for each individual event. Multiply the individual probabilities together.
The total amount before any deductions
Sum of digits is multiple of 3 - last two digits multiple of 4.

46. Combined Events: E or F
(# of favorable outcomes) / (# of possible outcomes)
P(E) + P(F) - P(E and F)
4/3 TT r ^3
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. gcd(m,n)*lcm(m,n)
16.6%
347
gcd(m,n)*lcm(m,n) = mn
at least 3 steps

48. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
1st Rule of Probability: Basic Rule is what?
$11 - 025
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.
principle (interest rate - in decimal form) (time - in years)

49. Sq. rt(2)
Find all prime factors
0.15n + 0.08(5) = 0.1(n+5)
1.4
gcd(m,n)*lcm(m,n) = mn

50. Simple probability
Divide 4999 by 15 => 333 integers
83.3%
(# of favorable outcomes) / (# of possible outcomes)
The probability of event occurring is...