Quant Flashcards

1
Q

How does the bowtie method work?

A

If you are comparing a/b and c/d –> if ad > bc, then a/b is greater than c/d

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2
Q

What is odd plus odd?

A

even

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3
Q

What is odd plus even?

A

odd

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4
Q

What is even plus even

A

even

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5
Q

What is odd minus odd

A

even

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6
Q

what is even minus odd

A

odd

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7
Q

what is even minus even

A

even

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8
Q

what is odd * odd

A

odd

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9
Q

what is even * odd

A

even

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10
Q

what is even * even

A

even

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11
Q

List all prime numbers less than 100

A

2,3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 - 25 in total

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12
Q

What is the rule for a number being divisible by 11?

A

Divisible if sum of the odd numbered pllace digits minus the sum of the even numbered place digits is divisible by 11

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13
Q

What is the formula for finding the number of factors in a particular number?

A

Find the prime factorization, add 1 to each exponent, multiple the exponents + 1

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14
Q

How do you identify the number of trailing zeroes in a number?

A

Number of (5*2) pairs

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15
Q

How do you identify the number of leading zeroes in a decimal?

A

if X is an integer with k digits, then 1/x will have (k-1) leading zeroes unless x is a perfect power of 10, in which will have k-2

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16
Q

What is the units number pattern for powers of 2?

A

2, 4, 8, 6

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17
Q

What is the units number pattern for powers of 3?

A

3, 9, 7, 1

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18
Q

What is the units number pattern for powers of 4?

A

4, 6

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19
Q

What is the units number pattern for powers of 6?

A

All 6

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20
Q

What is the units number pattern for powers of 7?

A

7, 9, 3, 1

21
Q

What is the units number pattern for powers of 8?

A

8, 4, 2, 6

22
Q

What is the units number power for powers of 9?

A

9, 1

23
Q

What is 16 ^2

A

256

24
Q

What is 17^2

A

289

25
Q

What is 18^2

A

324

26
Q

What is 19^2

A

361

27
Q

What is 20^2

A

400

28
Q

What are all perfect cubes less than or equal to 1000

A

0, 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000 (11 in total)

29
Q

What is the square root of 2 (estimate)

A

1.4

30
Q

What is the square root of 3 (estimate)

A

1.7

31
Q

what is the square root of 5 (estimate)

A

2.2

32
Q

What is 2^7

A

128

33
Q

What is 2^8

A

256

34
Q

What is 2^9

A

512

35
Q

What is 2^10

A

1024

36
Q

What is 3^5

A

243

37
Q

What is 4^4

A

256

38
Q

What is 5^4

A

625

39
Q

What is the formula for overlapping sets - members in either set

A

(A or B) = #(A) +#(B) - #(A and B)

40
Q

What is the relationship between the area of a rectangle versus a square

A

Given a rectangle with a fixed perimeter - maximum area is a square

41
Q

How many sides in a hexagon?

A

6

42
Q

What is the area of a hexagon

A

3*sqr(3) / 2 * s^2 OR 2.6s^2

43
Q

What happens when point (x,y) is reflected over line y=x

A

(x,y)–> (y,x)

44
Q

What happens when point (x,y) is reflected over y = -x

A

(x,y) –> (-y, -x)

45
Q

What happens when point (x, y) is reflected over y = b?

A

(x,y) –> (x, 2b-y)

46
Q

What happens when point (x,y) is reflected over x=a

A

(x,y) –> (2a-x, y)

47
Q

What happens when point (x, y) is reflexted over some point (a,b)

A

(x,y) –> (2a - x, 2b - y)

48
Q

If you are the mth person in line and nth person from the back of the line how many people are in the line?

A

n + m -1

49
Q

Surface area of a cylinder?

A

Circumfurance(height) + 2(area)