Quant Flashcards
ratio of the length of the short diag to the long diag in a parallelogram
1:sqrt(3)
Slope:
ax+by=c
=(-a/b)
If length grows by factor x how much does the area grow?
x^2
[T or F] the product of even consecutive integers will always be divisible by 8
Yes, because consecutive even integers alternate between being divisible by 2 and 4
what are the sides of a 30-60-90 right triangle
x-x(sqrt3)-2x
A line with positive slope will always cross which quadrants?
I & III
A line with a negative slope will always cross which quadrants?
II & IV
In which scenario will a line only cross 2 quadrants
A line that passes through the origin
Mean of consecutive set
(last+first)/2
=median
Median of Consecutive Set
(last + first)/2
=mean
Sum of Consecutive Set
[(last+first)/2] * n
Number of Terms in Consecutive Set
[(last - first)/interval] + 1
Range of any set in which terms are different
> 0
Range of set in which terms are the same
=0
STD of a set in which terms are same
=0
bottom 40% of the set has average 20, top 60% of the set has average 40, can we find average of the whole set?
Yes, is weighted
=(0.4)(20)+(0.6)(40)
Set N > 2 with unique integers.
Difference between any 2 numbers in set N are equal
How many terms are in the set?
What iS STD?
Any. Terms are all the same
STD = 0 since all same
STD is a function of
Mean and distribution amongst the mean
Range is Given
Mean is Given
Can we find STD?
No
Mean = Range
Can we find Median?
No
Mean = Range
Can we find STD?
No
Set N has 3 terms: a,b,c
b = mean
what is median?
b
price increased 20% in year 1 increased 30% in year 2, what is the % difference from the original price
(20+30+(20*30)/100) = x%
By what % change will xy change if x increases 30% and y increases 20%
% change in xy = (1.3)(1.2)-1 = 56%
What is the change in (x+y) if after 1 year, x increased 20% and y increased 30%
We can’t find unless we know the value of initial (x+y)
441
21 Squared
169
13 squares
0.16667
1/6
0.125
1/8
1/8
0.125
5/6
0.8333
0.8333
5/6
0.875
7/8
How to quickly find product of all integers in a set using GCF and LCM
Product = GCF * LCM
If the product of all integers in a set is equal to the LCM, what is the GCF of lal integers in the set?
1
If the GCF of all integers in a set is 1, then what is the LCM?
The product of all integers in the set
E + E =
E + O =
O + O =
E
O
E
EE =
EO =
O*O =
E
E
O
E/E =
E/O =
O/E =
O/O =
E
E
O/E -> non integer
O/O = O
k is positive integer.
n = k(k+7), is n divisible by 6?
(1) k is odd
(2) the remainder is 2 when k is divided by 3
divisible only if 2 and 3 are factors
- no. product is even idk anything else
- apply (3x+2) as k and solve
(3x+2)(3x+9) will be even and a factor of 3 can you see why
When is |x - y| > |x| - |y|?
reword this and think in terms of a number line.
in which cases is the magnitude of difference increased between 2 numbers?
when (pos) - (neg) = bigger
when (neg) - (pos) = bigger
