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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. How to check whether a number is a multiple of 4.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
3-4-5 - 5-12-13 - 9-12-15
1 - P(E)
______ |m-n|

2. Since Mieko's average speed was 3/4 of Chan's - her time was 4/3 as long.
Exterior angle d is equal to the sum of the two remote interior angles a and b
Purchase price
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

3. 45-45-90 triangle basic lengths of sides
x - x - x(sq. rt 2)
p/100 = is/of
at least 3 steps
Divide 4999 by 15 => 333 integers

4. Compound interest formula
Gross Profit = Selling Price - Cost
Principal (1 + interest/number times compounded)^(t)(n)
2 steps
y2 - y1 / x2 - x1

5. 1/8 = what %
Last two digits are multiple of 4 or the number can be divided by 2 twice.
12.5%
(total A) / (total B)
0.15n + 0.08(5) = 0.1(n+5)

6. Set Problems formula
(x-n(n)y-n)
Even
1.4
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

7. Prime Factorization to find Greatest Common Factor
A = P(1 + r) ^n
Divide 4999 by 15 => 333 integers
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 A AND event B occurring is the probability of event A times the probability of event B - given that A has already occurred.

8. Permutations: Order Matters
The probability of an event occurring plus the probability of the event not occurring = 1
n! / (n - r)!
12^3
The total amount before any deductions

9. How to find all divisors of a number
market value
Find all prime factors
______ |m-n|
22

10. The number of outcomes that result in A divided by the total number of possible outcomes.
The probability of event occurring is...
(total distance) / (total time)
Find simple interest then look for the answer that is a little bigger
(x-n(n)y-n)

11. 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)
The total amount before any deductions
Immediately UNFACTOR or vice versa
Find all prime factors

12. Sum of consecutive numbers
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
12^3
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
sum = (average)(number of terms)

13. gcd(m,n)
principle (interest rate - in decimal form) (time - in years)
The total amount before any deductions
1
______ |m-n|

14. Simple Interest formula (remember this is only the interest earned - not the total amount of money present in the bank after interest earned)
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.
Sum of digits is multiple of 9
principle (interest rate - in decimal form) (time - in years)

15. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
$11 - 025
347
Minor arc = 2(inscribed angle)
Purchase price

16. 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?
1/16
(total distance) / (total time)
1.4
0.15n + 0.08(5) = 0.1(n+5)

17. How to check whether number is multiple of 9
s Sq. rt (x^r)
Balancing
Sum of digits is multiple of 9
Exterior angle d is equal to the sum of the two remote interior angles a and b

18. 2n - 2n+2 - 2n+4
Organize into a grid.
Even
Exterior angle d is equal to the sum of the two remote interior angles a and b
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.

19. Sq. rt(2)
1.4
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
3-4-5 - 5-12-13 - 9-12-15
x(sq. rt 3) - x - 2x

20. 3^3 x 4^3 = ?
1/16
principle (interest rate - in decimal form) (time - in years)
12^3
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.

21. Multiples of 3
3 - 6 - 9 - 12
4/3 TT r ^3
at least 3 steps
Gross Profit = Selling Price - Cost

22. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
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.
22
gcd(m,n)*lcm(m,n) = mn
Organize into a grid.

23. The number of ways independent events can occur together.
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
12.5%
14 liters
P(E)P(F)

24. In general - medium questions require how many steps to solve?
1.7
1.4
0.15n + 0.08(5) = 0.1(n+5)
2 steps

25. Combined Events: E or F
(n-1)!
P(E) + P(F) - P(E and 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.
Sum of digits is multiple of 3 - last two digits multiple of 4.

26. x^r/s = ?
s Sq. rt (x^r)
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1st Rule of Probability: Basic Rule is what?
x - x - x(sq. rt 2)

27. How to check whether a number is a multiple of 12.
Sum of digits is multiple of 3 - last two digits multiple of 4.
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)
Divide 4999 by 15 => 333 integers
(total A) / (total B)

28. How to check whether a number is a multiple of 3.
Exterior angle d is equal to the sum of the two remote interior angles a and b
n! / (n - r)!
Sum of digits is multiple of 3
(total A) / (total B)

29. Intersecting Sets
| A union B| = |A| + |B| - |A intersect B|
0.15n + 0.08(5) = 0.1(n+5)
14 liters
Immediately try factoring/simplifying when possible

30. How to check whether a number is a multiple of 6
347
Immediately try factoring/simplifying when possible
Number is a multiple of 3 and 2
0.15n + 0.08(5) = 0.1(n+5)

31. Average Rate: Average speed
D or E
(total distance) / (total time)
P(event NOT occurring) = 1 - P(event occurring)
Odd numbers only have ___________

32. 2nd Rule of Probability: P(E) = 1 - P(not E)
______ |m-n|
The probability of an event occurring plus the probability of the event not occurring = 1
If the outcome of one event affects the outcome of the other event.
(n-1)!

33. Gross Profit formula
Gross Profit = Selling Price - Cost
(amount of change) / (original amount)
4/3 TT r ^3
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)

34. The average of consecutive numbers
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.
The amount after deductions
s Sq. rt (x^r)

35. Properties of 0
(sum of bases)(height) / 2
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.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
Even

36. 1/6 = what %
Exterior angle d is equal to the sum of the two remote interior angles a and b
(n-1)!
-b +- sq. rt(b^2 - 4ac) / 2a
16.6%

37. Average Rate: Average A per B
Balancing
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
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.
(total A) / (total B)

38. In general - difficult questions require how many steps to solve?
at least 3 steps
gcd(m,n)*lcm(m,n) = mn
(sum of bases)(height) / 2
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.

39. Formula for Mixed Group problems (involving Both/Neither)
Group 1 + Group 2 + Neither - Both = Total
1/16
Sum of digits is multiple of 3 - last two digits multiple of 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.

40. To determine the number of integers less than 5000 that are evenly divisible by 15...?
market value
always try to factor
Divide 4999 by 15 => 333 integers
Sum of digits is multiple of 3

41. Percent Formula
p/100 = is/of
3 - 6 - 9 - 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.
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

42. To determine multiple-event probability where each individual event must occur in a certain way.
Figure out the probability for each individual event. Multiply the individual probabilities together.
22
$11 - 025
Odd

43. How to check for a prime number.

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44. Gross
The total amount before any deductions
(n-1)!
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.
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)

45. Inscribed Angle - Minor Arc
Any multiplication involving an even number creates an even product.
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
Minor arc = 2(inscribed angle)
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.

46. Multiplication principle
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.
always try to factor
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
multiply or divide the numbers outside the radical signs - then the numbers inside the radical signs

47. Three triangle length patterns
Number is a multiple of 3 and 2
(# of favorable outcomes) / (# of possible outcomes)
3-4-5 - 5-12-13 - 9-12-15
Odd numbers only have ___________

48. 30-60-90 triangle basic lengths of sides
Odd
x(sq. rt 3) - x - 2x
P(event NOT occurring) = 1 - P(event occurring)
-b +- sq. rt(b^2 - 4ac) / 2a

49. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
83.3%
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
347
(sum of bases)(height) / 2

50. What does the Sum of the angles in a Regular Polygon formula look like?
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.
Divide 4999 by 15 => 333 integers
180(n-2)
Sum of digits is multiple of 3 - last two digits multiple of 4.

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GMAT Quantitative General

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