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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. Sq. rt(2)
The probability of an event occurring plus the probability of the event not occurring = 1
(amount of change) / (original amount)
1.4
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.

2. 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
14 liters
Balancing
Minor arc = 2(inscribed angle)
always try to factor

3. When you see an equation in factored form in a question?
P(E) + P(F) - P(E and F)
16.6%
s Sq. rt (x^r)
Immediately UNFACTOR or vice versa

4. What to do with equations that have fractions
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.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
180(n-2)
Immediately try factoring/simplifying when possible

5. 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)
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.
Find all prime factors
always try to factor

6. Percent Formula
p/100 = is/of
always try to factor
P(event NOT occurring) = 1 - P(event occurring)
s Sq. rt (x^r)

7. Sum of consecutive numbers
1st Rule of Probability: Basic Rule is what?
sum = (average)(number of terms)
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.
-b +- sq. rt(b^2 - 4ac) / 2a

8. 45-45-90 triangle basic lengths of sides
x - x - x(sq. rt 2)
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.
Gross Profit = Selling Price - Cost

9. Gross Profit formula
Figure out the probability for each individual event. Multiply the individual probabilities together.
22
Gross Profit = Selling Price - Cost
gcd(m,n)*lcm(m,n) = mn

10. Net
If the outcome of one event affects the outcome of the other event.
1st Rule of Probability: Basic Rule is what?
The amount after deductions
D or E

11. The average of consecutive numbers
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Organize into a grid.
-b +- sq. rt(b^2 - 4ac) / 2a
Gross Profit = Selling Price - Cost

12. 0! = ?
Principal (1 + interest/number times compounded)^(t)(n)
1
Organize into a grid.
12.5%

13. Percent increase = ?
Find simple interest then look for the answer that is a little bigger
(amount of change) / (original amount)
Immediately UNFACTOR or vice versa
4/3 TT r ^3

14. Intersecting Sets
______ |m-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.
| A union B| = |A| + |B| - |A intersect B|
Divide 4999 by 15 => 333 integers

15. Formula for area of a Trapezoid
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Group 1 + Group 2 + Neither - Both = Total
(sum of bases)(height) / 2
Even

16. 3^3 x 4^3 = ?
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
Odd
x(sq. rt 3) - x - 2x
12^3

17. Compound interest rule
at least 3 steps
(x-n(n)y-n)
Find simple interest then look for the answer that is a little bigger
Odd numbers only have ___________

18. Average Rate: Average speed
(total distance) / (total time)
The total amount before any deductions
Sum of digits is multiple of 9
at least 3 steps

19. Quadratic formula
Immediately try factoring/simplifying when possible
347
-b +- sq. rt(b^2 - 4ac) / 2a
12.5%

20. 30-60-90 triangle basic lengths of sides
at least 3 steps
x(sq. rt 3) - x - 2x
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
Find all prime factors

21. Prime Factorization to find Greatest Common Factor
The amount after deductions
y2 - y1 / x2 - x1
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

22. 1/8 = what %
12.5%
Odd
(n-1)!
4/3 TT r ^3

23. 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
y2 - y1 / x2 - x1
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.
Minor arc = 2(inscribed angle)
0.15n + 0.08(5) = 0.1(n+5)

24. How to check whether a number is a multiple of 6
Number is a multiple of 3 and 2
1
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
Find simple interest then look for the answer that is a little bigger

25. gcd(m,n)*lcm(m,n)
(x-n(n)y-n)
1
gcd(m,n)*lcm(m,n) = mn
1/16

26. 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
16.6%
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 digits is multiple of 9

27. Properties of 0
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.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
n! / (n - r)!
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

28. (1/4)^2
P(E)P(F)
1/16
83.3%
always try to factor

29. Odd and Even rule.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
s Sq. rt (x^r)
D or E
Any multiplication involving an even number creates an even product.

30. Triangle abc with d on the outside with a line. What does d = ?
Exterior angle d is equal to the sum of the two remote interior angles a and b
principle (interest rate - in decimal form) (time - in years)
1st Rule of Probability: Basic Rule is what?
(total distance) / (total time)

31. Gross
The total amount before any deductions
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.
347
Find simple interest then look for the answer that is a little bigger

32. 5/6 = what %
(total distance) / (total time)
83.3%
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
180(n-2)

33. Compound interest formula
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.
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
Principal (1 + interest/number times compounded)^(t)(n)
$11 - 025

34. How to check whether a number is a multiple of 4.
Exterior angle d is equal to the sum of the two remote interior angles a and b
(amount of change) / (original amount)
gcd(m,n)*lcm(m,n) = mn
Last two digits are multiple of 4 or the number can be divided by 2 twice.

35. How to find the slope.
Find all prime factors
y2 - y1 / x2 - x1
Group 1 + Group 2 + Neither - Both = Total
Odd numbers only have ___________

36. To determine the number of integers less than 5000 that are evenly divisible by 15...?
(sum of bases)(height) / 2
gcd(m,n)*lcm(m,n) = mn
Divide 4999 by 15 => 333 integers
Even

37. How to check whether a number is a multiple of 12.
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.
16.6%
Sum of digits is multiple of 3 - last two digits multiple of 4.
Sum of digits is multiple of 9

38. The number of outcomes that result in A divided by the total number of possible outcomes.
at least 3 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
The probability of event occurring is...
$11 - 025

39. Number added or deleted
Organize into a grid.
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)
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.

40. The number of ways independent events can occur together.
Minor arc = 2(inscribed angle)
P(event NOT occurring) = 1 - P(event occurring)
| A union B| = |A| + |B| - |A intersect B|
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.

41. Average Rate: Average A per B
(total A) / (total B)
The probability of an event occurring plus the probability of the event not occurring = 1
Immediately UNFACTOR or vice versa
Minor arc = 2(inscribed angle)

42. x^r/s = ?
s Sq. rt (x^r)
The total amount before any deductions
1
(sum of bases)(height) / 2

43. How to check whether a number is a multiple of 3.
Sum of digits is multiple of 3
x - x - x(sq. rt 2)
1/16
0.15n + 0.08(5) = 0.1(n+5)

44. Probability and Geometry.
-b +- sq. rt(b^2 - 4ac) / 2a
1
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
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

45. Set Problems formula
(x-n(n)y-n)
347
______ |m-n|
Odd numbers only have ___________

46. What does the Sum of the angles in a Regular Polygon formula look like?
180(n-2)
Group 1 + Group 2 + Neither - Both = Total
2 steps
The probability of an event occurring plus the probability of the event not occurring = 1

47. 3rd Rule of Probability: Conditional Probability
Immediately UNFACTOR or vice versa
Sum of digits is multiple of 3
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 average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

48. Some GMAT word problems involve groups with distinct 'either/or' categories (male/female - blue collar/white collar - etc.) The key is to do what with the information? 1. Find total number of possible outcomes. 2. Find the number of desired outcomes.
p/100 = is/of
Organize into a grid.
principle (interest rate - in decimal form) (time - in years)
12^3

49. Multiples of 3
3 - 6 - 9 - 12
12.5%
12^3
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

50. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
y2 - y1 / x2 - x1
The probability of an event occurring plus the probability of the event not occurring = 1
principle (interest rate - in decimal form) (time - in years)
22