Quant Flashcards

1
Q

ratio of the length of the short diag to the long diag in a parallelogram

A

1:sqrt(3)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Slope:

ax+by=c

A

=(-a/b)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

If length grows by factor x how much does the area grow?

A

x^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

[T or F] the product of even consecutive integers will always be divisible by 8

A

Yes, because consecutive even integers alternate between being divisible by 2 and 4

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

what are the sides of a 30-60-90 right triangle

A

x-x(sqrt3)-2x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

A line with positive slope will always cross which quadrants?

A

I & III

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

A line with a negative slope will always cross which quadrants?

A

II & IV

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

In which scenario will a line only cross 2 quadrants

A

A line that passes through the origin

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Mean of consecutive set

A

(last+first)/2

=median

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Median of Consecutive Set

A

(last + first)/2

=mean

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Sum of Consecutive Set

A

[(last+first)/2] * n

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Number of Terms in Consecutive Set

A

[(last - first)/interval] + 1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Range of any set in which terms are different

A

> 0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Range of set in which terms are the same

A

=0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

STD of a set in which terms are same

A

=0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

bottom 40% of the set has average 20, top 60% of the set has average 40, can we find average of the whole set?

A

Yes, is weighted

=(0.4)(20)+(0.6)(40)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

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?

A

Any. Terms are all the same

STD = 0 since all same

18
Q

STD is a function of

A

Mean and distribution amongst the mean

19
Q

Range is Given
Mean is Given

Can we find STD?

20
Q

Mean = Range

Can we find Median?

21
Q

Mean = Range

Can we find STD?

22
Q

Set N has 3 terms: a,b,c

b = mean
what is median?

23
Q

price increased 20% in year 1 increased 30% in year 2, what is the % difference from the original price

A

(20+30+(20*30)/100) = x%

24
Q

By what % change will xy change if x increases 30% and y increases 20%

A

% change in xy = (1.3)(1.2)-1 = 56%

25
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)
26
441
21 Squared
27
169
13 squares
28
0.16667
1/6
29
0.125
1/8
30
1/8
0.125
31
5/6
0.8333
32
0.8333
5/6
33
0.875
7/8
34
How to quickly find product of all integers in a set using GCF and LCM
Product = GCF * LCM
35
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
36
If the GCF of all integers in a set is 1, then what is the LCM?
The product of all integers in the set
37
E + E = E + O = O + O =
E O E
38
E*E = E*O = O*O =
E E O
39
E/E = E/O = O/E = O/O =
E E O/E -> non integer O/O = O
40
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 1. no. product is even idk anything else 2. apply (3x+2) as k and solve (3x+2)(3x+9) will be even and a factor of 3 can you see why
41
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