Quantitative Flashcards

0
Q

What is the equation for the number of permutations of k items selected from n?

A

n!/(n-k)!

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1
Q

Are there any even primes?

A

Yes - 2

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2
Q

What is the equation for the number of permutations of of n items?

A

n!

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3
Q

What is the formula for k unordered selections from n items?

A

nCk=n!/k!(n-k)!

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4
Q

What is the equation for combined rates of work that invokes only 2 entities?

A

Total Time = AB/(A+B)

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5
Q

What is the equation for simple interest?

A

T=P(1+rt)

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6
Q

What is the equation for compound interest?

A

T=P(1+r)^t

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7
Q

What is the equation for how to calculate the number of degrees in a polygon?

A

180(n-2)

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8
Q

What is the only number that is neither positive or negative?

A

0

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9
Q

Odd+or-odd= ?

A

Even

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10
Q

Even+or-even=?

A

Even

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11
Q

Odd+or-even=!

A

Odd

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12
Q

Odd*odd=?

A

Odd

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13
Q

Even*even=?

A

Even

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14
Q

Odd*even=?

A

Even

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15
Q

Odd(any positive integer)=?

A

Odd

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16
Q

Even(any positive integer)=?

A

Even

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17
Q

What are the two best alternative strategies for problem solving according to Kaplan?

A

Picking numbers and back-solving

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18
Q

What’s a quick way to calculate 15%?

A

10%+5%

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19
Q

What different types of questions are good for picking numbers?

A

Questions with… Variables in the answer choices Percents in the answer choices Variables in the question stem Must be/could be/cannot be questions

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20
Q

What is the difference between percent increase and percent greater?

A

Percent increase follows the equation %inc=100*(new-old)/old Percent greater is (smaller #)*(%greater)=(larger #) EX: 4 is a 300% increase from 1, but 400% greater

21
Q

What are some keywords that indicate they want it to be solved via estimation?

A

About, approximately,

22
Q

When “picking numbers”, what are good numbers to choose?

A

Zero and one because of their “special” properties.

23
Q

What is the smallest “prime” of a X!+1?

A

>X

24
Q

What is an isosceles triangle?

A

Two side and two angles are the same

25
Q

What is a scalene triangle?

A

No sides or angles are the same

26
Q

What are the 4 different basic properties of a set and what are the equations?

A

Mean: sum of set/ # of #’s in set Mode: number that occurs the most often Median: the middle number or average or the two middle Range: largest minus the last.

27
Q

What is variance and standard deviation?

A

The measure of how spread out the numbers are. Variance:

Standard deviation: Square root of the variance

28
Q

What are the equations for finding the sum of a evenly spaced set of ascending numbers?

A

Median*(# of #’s in set) (Two middle #’s)*(# of #’s in set)/2 Can be any two numbers that are equidistant from average

29
Q

Sum of numbers equation

A

Sum of values=ave*# of values

30
Q

How many factors does a prime have?

A

2 factors, 1 and itself

31
Q

What is:

55

A

3,215

32
Q

What is:

45

A

1,024

33
Q

What is 9!

A

362,880

34
Q

What does 8! equal?

A

40,320

35
Q

What does 7! equal?

A

5,040

36
Q

What does 6! equal?

A

720

37
Q

What does 5! equal?

A

120

38
Q

yxyz=?

A

y(x+z)

39
Q

2(½)≈?

A

1.41

40
Q

3(½)≈?

A

1.73

41
Q

6(½)≈?

A

2.45

42
Q

7(½)≈?

A

2.65

43
Q

5(½)≈?

A

2.24

44
Q

What special triangle is the isosceles triangle split in half, and what are its angles, and ratio of the lengths of sides and hypotonuse?

A
45
Q

What special triange is a square cut in half and what are its angles and ratios of the sides?

A
46
Q

What is a shortcut to find the fractional number of 1/16?

A

100/100 * 1/16 = 4*25/100 * 1/4*4 = 25/100 * 1/4 = 6.25/100 = .0625

47
Q

What are the two ways to find the answer to weighted averages?

A
  1. set the differences from the average equal to each other.
  2. set up the normal algebraic equation.
48
Q

Key word, PERCENT, means

A

1/00

49
Q

If kx=y where k is a constant greater than 1, is x>y?

A

Indeterminate, x can equal y like when k=1, be > like when the constant is -2 and x is positive, or < like when the constant is -3 and x is negative.

50
Q

An inscribed angle cuts off an arc that is _______ its measure in degrees

A

Twice. Ex: an inscribed angle of 60 degrees cuts an arch of 120 degrees.

51
Q

2(1/3)≈?

A

1.26