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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. Compound interest rule
Find simple interest then look for the answer that is a little bigger
180(n-2)
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
Last two digits are multiple of 4 or the number can be divided by 2 twice.

2. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
1/16
22
always try to factor
(n-1)!

3. Odd Factors
Sum of digits is multiple of 3 - last two digits multiple of 4.
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 all prime factors
Odd numbers only have ___________

4. 2n - 2n+2 - 2n+4
Principal (1 + interest/number times compounded)^(t)(n)
Even
1 - P(E)
The probability of an event occurring plus the probability of the event not occurring = 1

5. Volume of a sphere
1 - P(E)
4/3 TT r ^3
gcd(m,n)*lcm(m,n) = mn
Balancing

6. 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.
1.7
(n-1)!
Sum of digits is multiple of 9

7. 2n+1 - 2n+3 - 2n+5
Odd
(n-1)!
(total A) / (total B)
y2 - y1 / x2 - x1

8. Sq. rt(2)
Find all prime factors
The probability of an event occurring plus the probability of the event not occurring = 1
1.4
Find simple interest then look for the answer that is a little bigger

9. Indistinguishable events how to find the number of permutations

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10. 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.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
22
D or E

11. 0! = ?
1
Principal (1 + interest/number times compounded)^(t)(n)
2 steps
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

12. 5/6 = what %
Immediately UNFACTOR or vice versa
83.3%
Even
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.

13. x^r/s = ?
347
s Sq. rt (x^r)
Sum of digits is multiple of 9
12^3

14. How to check whether a number is a multiple of 12.
Sum of digits is multiple of 3 - last two digits multiple of 4.
P(E)P(F)
(total distance) / (total time)
Purchase price

15. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
Purchase price
347
Last two digits are multiple of 4 or the number can be divided by 2 twice.
s Sq. rt (x^r)

16. Sq. rt(3)
x - x - x(sq. rt 2)
Odd
1.7
(amount of change) / (original amount)

17. Odd and Even rule.
sum = (average)(number of terms)
Any multiplication involving an even number creates an even product.
D or E
16.6%

18. How to check whether a number is a multiple of 6
Find simple interest then look for the answer that is a little bigger
Exterior angle d is equal to the sum of the two remote interior angles a and b
Number is a multiple of 3 and 2
x - x - x(sq. rt 2)

19. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
2 steps
Organize into a grid.
Last two digits are multiple of 4 or the number can be divided by 2 twice.

20. Formula for area of a Trapezoid
(sum of bases)(height) / 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.
market value
Minor arc = 2(inscribed angle)

21. 30-60-90 triangle basic lengths of sides
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
y2 - y1 / x2 - x1
4/3 TT r ^3
x(sq. rt 3) - x - 2x

22. 3^3 x 4^3 = ?
Exterior angle d is equal to the sum of the two remote interior angles a and b
16.6%
0.15n + 0.08(5) = 0.1(n+5)
12^3

23. The number of ways independent events can occur together.
principle (interest rate - in decimal form) (time - in years)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Balancing
Number is a multiple of 3 and 2

24. Trial Problems: look at the probability of NOT OCCURRING
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
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.
0.15n + 0.08(5) = 0.1(n+5)
P(event NOT occurring) = 1 - P(event occurring)

25. Combined Events: E or F
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Immediately UNFACTOR or vice versa
(amount of change) / (original amount)
P(E) + P(F) - P(E and F)

26. How to check whether a number is a multiple of 3.
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 3
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
(total distance) / (total time)

27. 4th rule of Probability
always try to factor
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)
(# of favorable outcomes) / (# of possible outcomes)
347

28. Properties of 0
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
3-4-5 - 5-12-13 - 9-12-15
12^3
180(n-2)

29. What to do with equations that have fractions
Number is a multiple of 3 and 2
Immediately try factoring/simplifying when possible
Gross Profit = Selling Price - Cost
1/16

30. 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 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
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
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.
s Sq. rt (x^r)

31. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
P(event NOT occurring) = 1 - P(event occurring)
D or E
Find all prime factors
y2 - y1 / x2 - x1

32. 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.
16.6%
A = P(1 + r) ^n
3-4-5 - 5-12-13 - 9-12-15

33. Multiplication principle
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
1st Rule of Probability: Basic Rule is what?
180(n-2)
12^3

34. Dependent events: When are two events said to be dependent events?
If the outcome of one event affects the outcome of the other event.
Odd
Immediately try factoring/simplifying when possible
n! / (n - r)!

35. gcd(m,n)*lcm(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.
P(E)P(F)
gcd(m,n)*lcm(m,n) = mn
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

36. To determine the number of integers less than 5000 that are evenly divisible by 15...?
The total amount before any deductions
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Immediately UNFACTOR or vice versa
Divide 4999 by 15 => 333 integers

37. Net
P(E)P(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.
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.
The amount after deductions

38. Probability and Geometry.
Sum of digits is multiple of 3
The probability of an event occurring plus the probability of the event not occurring = 1
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 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

39. In general - difficult questions require how many steps to solve?
Odd numbers only have ___________
at least 3 steps
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.
22

40. 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
12.5%
Figure out the probability for each individual event. Multiply the individual probabilities together.
(n-1)!
Balancing

41. gcd(m,n)
Odd numbers only have ___________
1/16
______ |m-n|
| A union B| = |A| + |B| - |A intersect B|

42. Simple probability
347
x(sq. rt 3) - x - 2x
(# of favorable outcomes) / (# of possible outcomes)
Any multiplication involving an even number creates an even product.

43. Prime Factorization to find Greatest Common Factor
Odd
4/3 TT r ^3
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 bases)(height) / 2

44. How to find the slope.
Odd numbers only have ___________
y2 - y1 / x2 - x1
always try to factor
(# of favorable outcomes) / (# of possible outcomes)

45. Triangle abc with d on the outside with a line. What does d = ?
market value
Exterior angle d is equal to the sum of the two remote interior angles a and b
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
Gross Profit = Selling Price - Cost

46. Multiples of 3
(total A) / (total B)
3 - 6 - 9 - 12
1.4
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.

47. 1/6 = what %
principle (interest rate - in decimal form) (time - in years)
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
(sum of bases)(height) / 2

48. Combined Events: E and F
347
x(sq. rt 3) - x - 2x
3-4-5 - 5-12-13 - 9-12-15
P(E)P(F)

49. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
$11 - 025
-b +- sq. rt(b^2 - 4ac) / 2a
Even

50. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
Find all prime factors
Purchase price
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
(n-1)!