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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. Price purchased for by wholesaler
Find all prime factors
0.15n + 0.08(5) = 0.1(n+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
Purchase price

2. Multiples of 3
3 - 6 - 9 - 12
p/100 = is/of
Purchase price
(sum of bases)(height) / 2

3. 0! = ?
347
1
180(n-2)
83.3%

4. Intersecting Sets
12^3
| A union B| = |A| + |B| - |A intersect B|
(total distance) / (total time)
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.

5. 1/8 = what %
-b +- sq. rt(b^2 - 4ac) / 2a
16.6%
12.5%
always try to factor

6. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
A = P(1 + r) ^n
Immediately try factoring/simplifying when possible
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)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.

7. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
1st Rule of Probability: Basic Rule is what?
Odd numbers only have ___________
Immediately try factoring/simplifying when possible
principle (interest rate - in decimal form) (time - in years)

8. Percent increase = ?
Find all prime factors
3 - 6 - 9 - 12
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
(amount of change) / (original amount)

9. Sq. rt(3)
1.7
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.
at least 3 steps
x - x - x(sq. rt 2)

10. Dependent events: When are two events said to be dependent events?
If the outcome of one event affects the outcome of the other event.
3 - 6 - 9 - 12
Odd
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

11. 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.
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)
at least 3 steps
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
Organize into a grid.

12. 30-60-90 triangle basic lengths of sides
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.
P(event NOT occurring) = 1 - P(event occurring)
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.
x(sq. rt 3) - x - 2x

13. Compound interest formula
The probability of event occurring is...
Sum of digits is multiple of 9
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Principal (1 + interest/number times compounded)^(t)(n)

14. Compound interest rule
p/100 = is/of
Find simple interest then look for the answer that is a little bigger
Immediately UNFACTOR or vice versa
Gross Profit = Selling Price - Cost

15. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
Immediately UNFACTOR or vice versa
The total amount before any deductions
347
gcd(m,n)*lcm(m,n) = mn

16. How to check whether number is multiple of 9
12.5%
D or E
Sum of digits is multiple of 9
principle (interest rate - in decimal form) (time - in years)

17. Gross
1.7
The total amount before any deductions
Purchase price
Number is a multiple of 3 and 2

18. Probability and Geometry.
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
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
P(event NOT occurring) = 1 - P(event occurring)

19. When you see an equation in factored form in a question?
sum = (average)(number of terms)
Balancing
Find simple interest then look for the answer that is a little bigger
Immediately UNFACTOR or vice versa

20. x^r/s = ?
(x-n(n)y-n)
2 steps
s Sq. rt (x^r)
12^3

21. The number of ways independent events can occur together.
1.4
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Odd numbers only have ___________
Group 1 + Group 2 + Neither - Both = Total

22. Combined Events: Not E = P(not E) = ?
1 - P(E)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
1.7
Gross Profit = Selling Price - Cost

23. 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?
180(n-2)
0.15n + 0.08(5) = 0.1(n+5)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

24. Average Rate: Average A per B
P(E)P(F)
3-4-5 - 5-12-13 - 9-12-15
(total A) / (total B)
1.4

25. Three triangle length patterns
y2 - y1 / x2 - x1
3-4-5 - 5-12-13 - 9-12-15
s Sq. rt (x^r)
Find simple interest then look for the answer that is a little bigger

26. How to check whether a number is a multiple of 4.
3 - 6 - 9 - 12
always try to factor
Last two digits are multiple of 4 or the number can be divided by 2 twice.
-b +- sq. rt(b^2 - 4ac) / 2a

27. How to check for a prime number.

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28. 5/6 = what %
s Sq. rt (x^r)
Sum of digits is multiple of 3
83.3%
market value

29. The average of consecutive numbers
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
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Odd
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

30. 1/6 = what %
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.
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
16.6%
14 liters

31. (1/4)^2
1/16
P(E) + P(F) - P(E and F)
Exterior angle d is equal to the sum of the two remote interior angles a and b
Sum of digits is multiple of 3

32. Simple Interest Formula (remember this is the total amount of money in the bank after the interest is earned)
A = P(1 + r) ^n
3 - 6 - 9 - 12
sum = (average)(number of terms)
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

33. Formula for area of a Trapezoid
(sum of bases)(height) / 2
Odd numbers only have ___________
1
The total amount before any deductions

34. Permutations: Order Matters
______ |m-n|
y2 - y1 / x2 - x1
n! / (n - r)!
Find all prime factors

35. In general - difficult questions require how many steps to solve?
at least 3 steps
gcd(m,n)*lcm(m,n) = mn
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%

36. Set Problems formula
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
(x-n(n)y-n)
Odd
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.

37. Sq. rt(2)
1.4
(n-1)!
The probability of event occurring is...
180(n-2)

38. Indistinguishable events how to find the number of permutations

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39. 2n - 2n+2 - 2n+4
-b +- sq. rt(b^2 - 4ac) / 2a
Even
(amount of change) / (original amount)
1 - P(E)

40. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
22
Odd numbers only have ___________
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
2 steps

41. Sum of consecutive numbers
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
sum = (average)(number of terms)
(total distance) / (total time)
12.5%

42. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
2 steps
180(n-2)
D or E
1 - P(E)

43. Number added or deleted
Odd numbers only have ___________
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.
Purchase price
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

44. 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
1st Rule of Probability: Basic Rule is what?
Balancing
The probability of an event occurring plus the probability of the event not occurring = 1
Immediately UNFACTOR or vice versa

45. Percent Formula
Principal (1 + interest/number times compounded)^(t)(n)
(n-1)!
p/100 = is/of
Purchase price

46. 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
$11 - 025
Number is a multiple of 3 and 2
p/100 = is/of

47. Circular permutation: The number of ways to arrange n distinct objects along a fixed circle is?
Sum of digits is multiple of 3
Sum of digits is multiple of 9
(n-1)!
P(E)P(F)

48. Formula for Mixed Group problems (involving Both/Neither)
The probability of event occurring is...
1.4
Group 1 + Group 2 + Neither - Both = Total
The amount after deductions

49. How do you multiply roots together.
A = P(1 + r) ^n
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs
The amount after deductions
x - x - x(sq. rt 2)

50. How to check whether a number is a multiple of 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 digits is multiple of 3
P(E)P(F)
Sum of digits is multiple of 3 - last two digits multiple of 4.