Quant Flashcards
How does the bowtie method work?
If you are comparing a/b and c/d –> if ad > bc, then a/b is greater than c/d
What is odd plus odd?
even
What is odd plus even?
odd
What is even plus even
even
What is odd minus odd
even
what is even minus odd
odd
what is even minus even
even
what is odd * odd
odd
what is even * odd
even
what is even * even
even
List all prime numbers less than 100
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
What is the rule for a number being divisible by 11?
Divisible if sum of the odd numbered pllace digits minus the sum of the even numbered place digits is divisible by 11
What is the formula for finding the number of factors in a particular number?
Find the prime factorization, add 1 to each exponent, multiple the exponents + 1
How do you identify the number of trailing zeroes in a number?
Number of (5*2) pairs
How do you identify the number of leading zeroes in a decimal?
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
What is the units number pattern for powers of 2?
2, 4, 8, 6
What is the units number pattern for powers of 3?
3, 9, 7, 1
What is the units number pattern for powers of 4?
4, 6
What is the units number pattern for powers of 6?
All 6
What is the units number pattern for powers of 7?
7, 9, 3, 1
What is the units number pattern for powers of 8?
8, 4, 2, 6
What is the units number power for powers of 9?
9, 1
What is 16 ^2
256
What is 17^2
289
What is 18^2
324
What is 19^2
361
What is 20^2
400
What are all perfect cubes less than or equal to 1000
0, 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000 (11 in total)
What is the square root of 2 (estimate)
1.4
What is the square root of 3 (estimate)
1.7
what is the square root of 5 (estimate)
2.2
What is 2^7
128
What is 2^8
256
What is 2^9
512
What is 2^10
1024
What is 3^5
243
What is 4^4
256
What is 5^4
625
What is the formula for overlapping sets - members in either set
(A or B) = #(A) +#(B) - #(A and B)
What is the relationship between the area of a rectangle versus a square
Given a rectangle with a fixed perimeter - maximum area is a square
How many sides in a hexagon?
6
What is the area of a hexagon
3*sqr(3) / 2 * s^2 OR 2.6s^2
What happens when point (x,y) is reflected over line y=x
(x,y)–> (y,x)
What happens when point (x,y) is reflected over y = -x
(x,y) –> (-y, -x)
What happens when point (x, y) is reflected over y = b?
(x,y) –> (x, 2b-y)
What happens when point (x,y) is reflected over x=a
(x,y) –> (2a-x, y)
What happens when point (x, y) is reflexted over some point (a,b)
(x,y) –> (2a - x, 2b - y)
If you are the mth person in line and nth person from the back of the line how many people are in the line?
n + m -1
Surface area of a cylinder?
Circumfurance(height) + 2(area)
