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GMAT Quantitative General

Subjects : gmat, math

Instructions:

Answer 50 questions in 15 minutes.
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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. 2n - 2n+2 - 2n+4
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
1/16
gcd(m,n)*lcm(m,n) = mn
Even

2. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
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.
A = P(1 + r) ^n
principle (interest rate - in decimal form) (time - in years)
P(E) + P(F) - P(E and F)

3. Three triangle length patterns
(total distance) / (total time)
1 - P(E)
2 steps
3-4-5 - 5-12-13 - 9-12-15

4. How to check whether a number is a multiple of 3.
Find simple interest then look for the answer that is a little bigger
Sum of digits is multiple of 3
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
Exterior angle d is equal to the sum of the two remote interior angles a and b

5. 5/6 = what %
D or E
83.3%
s Sq. rt (x^r)
1st Rule of Probability: Basic Rule is what?

6. Percent increase = ?
(amount of change) / (original amount)
Exterior angle d is equal to the sum of the two remote interior angles a and b
Any multiplication involving an even number creates an even product.
sum = (average)(number of terms)

7. Formula for Mixed Group problems (involving Both/Neither)
(n-1)!
Group 1 + Group 2 + Neither - Both = Total
12^3
Sum of digits is multiple of 9

8. 3^3 x 4^3 = ?
12.5%
P(event NOT occurring) = 1 - P(event occurring)
12^3
83.3%

9. Intersecting Sets
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
The probability of event occurring is...
market value
| A union B| = |A| + |B| - |A intersect B|

10. Multiplication principle
3-4-5 - 5-12-13 - 9-12-15
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
Organize into a grid.
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

11. 2nd Rule of Probability: P(E) = 1 - P(not E)
Exterior angle d is equal to the sum of the two remote interior angles a and b
The probability of an event occurring plus the probability of the event not occurring = 1
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

12. Combined Events: Not E = P(not E) = ?
x - x - x(sq. rt 2)
Principal (1 + interest/number times compounded)^(t)(n)
180(n-2)
1 - P(E)

13. 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
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.
Balancing
| A union B| = |A| + |B| - |A intersect B|
Exterior angle d is equal to the sum of the two remote interior angles a and b

14. Price sold for by retailer (after markup)
market value
347
14 liters
180(n-2)

15. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
Divide 4999 by 15 => 333 integers
(n-1)!
Gross Profit = Selling Price - Cost
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

16. Simple probability
(total distance) / (total time)
Organize into a grid.
(# of favorable outcomes) / (# of possible outcomes)
14 liters

17. Odd Factors
x - x - x(sq. rt 2)
Even
The probability of an event occurring plus the probability of the event not occurring = 1
Odd numbers only have ___________

18. Trial Problems: look at the probability of NOT OCCURRING
market value
P(event NOT occurring) = 1 - P(event occurring)
P(E) + P(F) - P(E and F)
1 - P(E)

19. Price purchased for by wholesaler
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.
Purchase price
If the outcome of one event affects the outcome of the other event.
Find all prime factors

20. Compound interest rule
$11 - 025
P(E) + P(F) - P(E and F)
Find simple interest then look for the answer that is a little bigger
(sum of bases)(height) / 2

21. Net
The amount after deductions
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
P(E)P(F)

22. (1/4)^2
Last two digits are multiple of 4 or the number can be divided by 2 twice.
P(E)P(F)
(n-1)!
1/16

23. 2n+1 - 2n+3 - 2n+5
Odd
22
Purchase price
Principal (1 + interest/number times compounded)^(t)(n)

24. Odd and Even rule.
2 steps
Any multiplication involving an even number creates an even product.
Odd numbers only have ___________
Balancing

25. gcd(m,n)
Principal (1 + interest/number times compounded)^(t)(n)
P(event NOT occurring) = 1 - P(event occurring)
______ |m-n|
Gross Profit = Selling Price - Cost

26. x^r/s = ?
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Minor arc = 2(inscribed angle)
x(sq. rt 3) - x - 2x
s Sq. rt (x^r)

27. Prime Factorization to find Greatest Common Factor
s Sq. rt (x^r)
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
x - x - x(sq. rt 2)
Immediately try factoring/simplifying when possible

28. Average Rate: Average speed
(total distance) / (total time)
(sum of bases)(height) / 2
Minor arc = 2(inscribed angle)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

29. How do you multiply roots together.
(amount of change) / (original amount)
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
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

30. 45-45-90 triangle basic lengths of sides
2 steps
x - x - x(sq. rt 2)
Group 1 + Group 2 + Neither - Both = Total
market value

31. 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)
4/3 TT r ^3
12.5%
at least 3 steps

32. What does the Sum of the angles in a Regular Polygon formula look like?
1.4
180(n-2)
1st Rule of Probability: Basic Rule is what?
Divide 4999 by 15 => 333 integers

33. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
-b +- sq. rt(b^2 - 4ac) / 2a
Find simple interest then look for the answer that is a little bigger
347
gcd(m,n)*lcm(m,n) = mn

34. Indistinguishable events how to find the number of permutations

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35. Average Rate: Average A per B
(total A) / (total B)
The amount after deductions
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
1.7

36. How to check for a prime number.

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37. Dependent events: When are two events said to be dependent events?
If the outcome of one event affects the outcome of the other event.
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 9
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.

38. What to do with equations that have fractions
Find simple interest then look for the answer that is a little bigger
Immediately try factoring/simplifying when possible
market value
(total distance) / (total time)

39. How to check whether number is multiple of 9
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.
Find simple interest then look for the answer that is a little bigger
If the outcome of one event affects the outcome of the other event.
Sum of digits is multiple of 9

40. How to check whether a number is a multiple of 6
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Number is a multiple of 3 and 2
principle (interest rate - in decimal form) (time - in years)

41. 0! = ?
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.
0.15n + 0.08(5) = 0.1(n+5)
______ |m-n|
1

42. When you see an equation in factored form in a question?
0.15n + 0.08(5) = 0.1(n+5)
Divide 4999 by 15 => 333 integers
Immediately UNFACTOR or vice versa
Principal (1 + interest/number times compounded)^(t)(n)

43. Volume of a sphere
y2 - y1 / x2 - x1
If the outcome of one event affects the outcome of the other event.
4/3 TT r ^3
180(n-2)

44. 3rd Rule of Probability: Conditional Probability
gcd(m,n)*lcm(m,n) = mn
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.
Gross Profit = Selling Price - Cost
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

45. Quadratic formula
Group 1 + Group 2 + Neither - Both = Total
-b +- sq. rt(b^2 - 4ac) / 2a
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.
Sum of digits is multiple of 3

46. Multiples of 3
3 - 6 - 9 - 12
1
The probability of an event occurring plus the probability of the event not occurring = 1
at least 3 steps

47. 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)
3 - 6 - 9 - 12
1st Rule of Probability: Basic Rule is what?
The probability of an event occurring plus the probability of the event not occurring = 1

48. Gross
The total amount before any deductions
(sum of bases)(height) / 2
16.6%
2 steps

49. 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)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
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.
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)

50. 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.
1st Rule of Probability: Basic Rule is what?
16.6%
If the outcome of one event affects the outcome of the other event.
180(n-2)

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GMAT Quantitative General

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