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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. (1/4)^2
at least 3 steps
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.
1/16
180(n-2)

2. Formula for area of a Trapezoid
0.15n + 0.08(5) = 0.1(n+5)
(sum of bases)(height) / 2
principle (interest rate - in decimal form) (time - in years)
16.6%

3. Three triangle length patterns
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.
(total distance) / (total time)
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

4. 3rd Rule of Probability: Conditional Probability
16.6%
Divide 4999 by 15 => 333 integers
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.
Sum of digits is multiple of 9

5. Permutations: Order Matters
4/3 TT r ^3
n! / (n - r)!
180(n-2)
83.3%

6. Net
The amount after deductions
Purchase price
at least 3 steps
The probability of an event occurring plus the probability of the event not occurring = 1

7. Average Rate: Average A per B
Sum of digits is multiple of 3 - last two digits multiple of 4.
If the outcome of one event affects the outcome of the other event.
Odd
(total A) / (total B)

8. 0! = ?
gcd(m,n)*lcm(m,n) = mn
The probability of an event occurring plus the probability of the event not occurring = 1
16.6%
1

9. gcd(m,n)
______ |m-n|
P(event NOT occurring) = 1 - P(event occurring)
Minor arc = 2(inscribed angle)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

10. Percent Formula
P(E) + P(F) - P(E and F)
-b +- sq. rt(b^2 - 4ac) / 2a
Find all prime factors
p/100 = is/of

11. Multiples of 3
3 - 6 - 9 - 12
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
p/100 = is/of

12. Compound interest rule
1 - P(E)
180(n-2)
Purchase price
Find simple interest then look for the answer that is a little bigger

13. 3^3 x 4^3 = ?
Minor arc = 2(inscribed angle)
If the outcome of one event affects the outcome of the other event.
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
12^3

14. When you see an equation in factored form in a question?
Sum of digits is multiple of 3 - last two digits multiple of 4.
Immediately try factoring/simplifying when possible
Immediately UNFACTOR or vice versa
22

15. Prime Factorization to find Greatest Common Factor
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
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 probability of event occurring is...
Any multiplication involving an even number creates an even product.

16. Quadratic formula
-b +- sq. rt(b^2 - 4ac) / 2a
180(n-2)
12.5%
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

17. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
A = P(1 + r) ^n
x(sq. rt 3) - x - 2x
14 liters
$11 - 025

18. gcd(m,n)*lcm(m,n)
Odd numbers only have ___________
gcd(m,n)*lcm(m,n) = mn
3 - 6 - 9 - 12
4/3 TT r ^3

19. Inscribed Angle - Minor Arc
Immediately UNFACTOR or vice versa
Minor arc = 2(inscribed angle)
347
If the outcome of one event affects the outcome of the other event.

20. Trial Problems: look at the probability of NOT OCCURRING
x - x - x(sq. rt 2)
P(event NOT occurring) = 1 - P(event occurring)
Sum of digits is multiple of 3 - last two digits multiple of 4.
(x-n(n)y-n)

21. How to check whether a number is a multiple of 3.
market value
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
22

22. Simple probability
(# of favorable outcomes) / (# of possible outcomes)
Divide 4999 by 15 => 333 integers
The probability of an event occurring plus the probability of the event not occurring = 1
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

23. Always try to factor
y2 - y1 / x2 - x1
always try to factor
Immediately UNFACTOR or vice versa
______ |m-n|

24. 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
n! / (n - r)!
The amount after deductions
Balancing
Divide 4999 by 15 => 333 integers

25. Percent increase = ?
(amount of change) / (original amount)
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
y2 - y1 / x2 - x1
Sum of digits is multiple of 3

26. Indistinguishable events how to find the number of permutations

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27. The average of consecutive numbers
s Sq. rt (x^r)
Find simple interest then look for the answer that is a little bigger
180(n-2)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

28. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
347
A = P(1 + r) ^n
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)
P(E)P(F)

29. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
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.
83.3%
22
x - x - x(sq. rt 2)

30. Sq. rt(2)
Immediately UNFACTOR or vice versa
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
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
1.4

31. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
Sum of digits is multiple of 3
Figure out the probability for each individual event. Multiply the individual probabilities together.
2 steps
principle (interest rate - in decimal form) (time - in years)

32. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
$11 - 025
Find simple interest then look for the answer that is a little bigger
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
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.

33. Properties of 0
3-4-5 - 5-12-13 - 9-12-15
x(sq. rt 3) - x - 2x
3 - 6 - 9 - 12
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

34. Compound interest formula
The probability of an event occurring plus the probability of the event not occurring = 1
y2 - y1 / x2 - x1
Gross Profit = Selling Price - Cost
Principal (1 + interest/number times compounded)^(t)(n)

35. How to check for a prime number.

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36. How do you multiply roots together.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Exterior angle d is equal to the sum of the two remote interior angles a and b
2 steps

37. 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.
P(E)P(F)
Sum of digits is multiple of 9
s Sq. rt (x^r)

38. How to check whether a number is a multiple of 4.
-b +- sq. rt(b^2 - 4ac) / 2a
D or E
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)

39. Set Problems formula
-b +- sq. rt(b^2 - 4ac) / 2a
(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.
P(E)P(F)

40. 5/6 = what %
1.4
83.3%
Immediately UNFACTOR or vice versa
12.5%

41. How to check whether number is multiple of 9
Principal (1 + interest/number times compounded)^(t)(n)
Balancing
P(event NOT occurring) = 1 - P(event occurring)
Sum of digits is multiple of 9

42. 45-45-90 triangle basic lengths of sides
12.5%
The probability of an event occurring plus the probability of the event not occurring = 1
Find all prime factors
x - x - x(sq. rt 2)

43. Sq. rt(3)
1.7
3-4-5 - 5-12-13 - 9-12-15
Divide 4999 by 15 => 333 integers
2 steps

44. 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
180(n-2)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
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.

45. The number of outcomes that result in A divided by the total number of possible outcomes.
1.4
The probability of event occurring is...
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
The probability of an event occurring plus the probability of the event not occurring = 1

46. What does the Sum of the angles in a Regular Polygon formula look like?
______ |m-n|
1.7
180(n-2)
1/16

47. 2nd Rule of Probability: P(E) = 1 - P(not E)
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)
D or E
The probability of an event occurring plus the probability of the event not occurring = 1

48. Sum of consecutive numbers
sum = (average)(number of terms)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
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. Combined Events: E and F
(total distance) / (total time)
$11 - 025
(n-1)!
P(E)P(F)

50. 2n+1 - 2n+3 - 2n+5
Odd
n! / (n - r)!
Figure out the probability for each individual event. Multiply the individual probabilities together.
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.