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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. Price purchased for by wholesaler
x(sq. rt 3) - x - 2x
Divide 4999 by 15 => 333 integers
Purchase price
22

2. Triangle abc with d on the outside with a line. What does d = ?
3 - 6 - 9 - 12
The amount after deductions
Immediately UNFACTOR or vice versa
Exterior angle d is equal to the sum of the two remote interior angles a and b

3. What does the Sum of the angles in a Regular Polygon formula look like?
market value
Odd numbers only have ___________
Group 1 + Group 2 + Neither - Both = Total
180(n-2)

4. Combined Events: E and F
22
P(E)P(F)
Divide 4999 by 15 => 333 integers
16.6%

5. If you have to guess in a problem - which ones should you guess? Especially if you have to plug numbers.
D or E
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.
The amount after deductions
180(n-2)

6. Trial Problems: look at the probability of NOT OCCURRING
Divide 4999 by 15 => 333 integers
P(event NOT occurring) = 1 - P(event occurring)
p/100 = is/of
principle (interest rate - in decimal form) (time - in years)

7. 1/8 = what %
Exterior angle d is equal to the sum of the two remote interior angles a and b
0.15n + 0.08(5) = 0.1(n+5)
P(E) + P(F) - P(E and F)
12.5%

8. Dependent events: When are two events said to be dependent events?
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
sum = (average)(number of terms)
If the outcome of one event affects the outcome of the other event.

9. Volume of a sphere
1
1/16
P(E)P(F)
4/3 TT r ^3

10. Odd and Even rule.
sum = (average)(number of terms)
Immediately try factoring/simplifying when possible
1/16
Any multiplication involving an even number creates an even product.

11. Properties of 0
(x-n(n)y-n)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
12.5%
sum = (average)(number of terms)

12. 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.
(# of favorable outcomes) / (# of possible outcomes)
Organize into a grid.
1st Rule of Probability: Basic Rule is what?
Balancing

13. How to find the slope.
Even
12.5%
y2 - y1 / x2 - x1
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.

14. The average of 5 numbers is 2. After one number is deleted - the new average is -3. What number was deleted?
Even
22
1.7
P(event NOT occurring) = 1 - P(event occurring)

15. 3^3 x 4^3 = ?
gcd(m,n)*lcm(m,n) = mn
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)
12^3
Minor arc = 2(inscribed angle)

16. The number of ways independent events can occur together.
The probability of event occurring is...
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
1.7
180(n-2)

17. gcd(m,n)
market value
1st Rule of Probability: Basic Rule is what?
(n-1)!
______ |m-n|

18. 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.
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.
always try to factor
| A union B| = |A| + |B| - |A intersect B|

19. Inscribed Angle - Minor Arc
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
Minor arc = 2(inscribed angle)
P(E)P(F)

20. 0! = ?
P(E) + P(F) - P(E and F)
1
$11 - 025
P(E)P(F)

21. If $10 -000 is invested at 10% annual interest - compounded semi-annually - what is the balance after 1 year?
Principal (1 + interest/number times compounded)^(t)(n)
y2 - y1 / x2 - x1
$11 - 025
1.4

22. 5/6 = what %
83.3%
P(event NOT occurring) = 1 - P(event occurring)
Odd numbers only have ___________
The probability of event occurring is...

23. Sq. rt(2)
Immediately UNFACTOR or vice versa
22
1.4
Last two digits are multiple of 4 or the number can be divided by 2 twice.

24. How to check for a prime number.

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25. How to check whether a number is a multiple of 12.
The amount after deductions
Sum of digits is multiple of 3 - last two digits multiple of 4.
at least 3 steps
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.

26. How to find all divisors of a number
The total amount before any deductions
Odd
Find all prime factors
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

27. 3rd Rule of Probability: Conditional Probability
The average of a set of evenly spaced consecutive numbers is the average of the smallest and largest numbers in the set.
1 - P(E)
4/3 TT r ^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.

28. 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.
Last two digits are multiple of 4 or the number can be divided by 2 twice.
Number is a multiple of 3 and 2
D or E

29. Average Rate: Average speed
(total distance) / (total time)
at least 3 steps
(# of favorable outcomes) / (# of possible outcomes)
83.3%

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

31. To determine the number of integers less than 5000 that are evenly divisible by 15...?
Total = mean x (number of terms) Number deleted = (original total) - (new total) Number added = (new total) - (original total)
Sum of digits is multiple of 9
Divide 4999 by 15 => 333 integers
Group 1 + Group 2 + Neither - Both = Total

32. Three triangle length patterns
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.
3-4-5 - 5-12-13 - 9-12-15
83.3%

33. 30-60-90 triangle basic lengths of sides
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%
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
x(sq. rt 3) - x - 2x

34. Average Rate: Average A per B
12.5%
A = P(1 + r) ^n
2 steps
(total A) / (total B)

35. When you see an equation in factored form in a question?
Immediately UNFACTOR or vice versa
Number is a multiple of 3 and 2
-b +- sq. rt(b^2 - 4ac) / 2a
Divide 4999 by 15 => 333 integers

36. Formula for area of a Trapezoid
Divide 4999 by 15 => 333 integers
1
(sum of bases)(height) / 2
(amount of change) / (original amount)

37. gcd(m,n)*lcm(m,n)
The probability of an event occurring plus the probability of the event not occurring = 1
The number of ways independent events can occur together can be determined by multiplying together the number of possible outcomes for each event.
Find all prime factors
gcd(m,n)*lcm(m,n) = mn

38. Number of integers from A to B inclusive = B - A + 1 - How many consecutive integers are there from 73 through 419 - inclusive?
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
1/16
347
Immediately try factoring/simplifying when possible

39. Sum of consecutive numbers
sum = (average)(number of terms)
For a fixed distance - the average speed is inversely related to the amount of time required to make the trip.
s Sq. rt (x^r)
principle (interest rate - in decimal form) (time - in years)

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
Balancing
1st Rule of Probability: Basic Rule is what?
(x-n(n)y-n)
Gross Profit = Selling Price - Cost

41. Odd Factors
Odd numbers only have ___________
1 - P(E)
Organize into a grid.
14 liters

42. Probability and Geometry.
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.
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
Group 1 + Group 2 + Neither - Both = Total
Find all prime factors

43. In general - difficult questions require how many steps to solve?
1 - P(E)
Even integer. Neither positive nor negative. Multiple of every number. Not a factor of any number.
at least 3 steps
Divide 4999 by 15 => 333 integers

44. Sq. rt(3)
Group 1 + Group 2 + Neither - Both = Total
Minor arc = 2(inscribed angle)
1.7
22

45. Formula for Mixed Group problems (involving Both/Neither)
83.3%
| A union B| = |A| + |B| - |A intersect B|
(x-n(n)y-n)
Group 1 + Group 2 + Neither - Both = Total

46. Indistinguishable events how to find the number of permutations

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47. 1/6 = what %
D or E
(sum of bases)(height) / 2
16.6%
1.7

48. Multiples of 3
3 - 6 - 9 - 12
Last two digits are multiple of 4 or the number can be divided by 2 twice.
x - x - x(sq. rt 2)
12.5%

49. Combined Events: Not E = P(not E) = ?
180(n-2)
s Sq. rt (x^r)
1 - P(E)
The total amount before any deductions

50. Simple probability
(# of favorable outcomes) / (# of possible outcomes)
The amount after deductions
(sum of bases)(height) / 2
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.

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GMAT Quantitative General

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