Quant

Question 1

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

Answer 1

1:sqrt(3)

Question 2

Slope:

ax+by=c

Answer 2

=(-a/b)

Question 3

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

Answer 3

x^2

Question 4

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

Answer 4

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

Question 5

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

Answer 5

x-x(sqrt3)-2x

Question 6

A line with positive slope will always cross which quadrants?

Answer 6

I & III

Question 7

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

Answer 7

II & IV

Question 8

In which scenario will a line only cross 2 quadrants

Answer 8

A line that passes through the origin

Question 9

Mean of consecutive set

Answer 9

(last+first)/2

=median

Question 10

Median of Consecutive Set

Answer 10

(last + first)/2

=mean

Question 11

Sum of Consecutive Set

Answer 11

[(last+first)/2] * n

Question 12

Number of Terms in Consecutive Set

Answer 12

[(last - first)/interval] + 1

Question 13

Range of any set in which terms are different

Answer 13

> 0

Question 14

Range of set in which terms are the same

Answer 14

=0

Question 15

STD of a set in which terms are same

Answer 15

=0

Question 16

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

Answer 16

Yes, is weighted

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

Question 17

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?

Answer 17

Any. Terms are all the same

STD = 0 since all same

Question 18

STD is a function of

Answer 18

Mean and distribution amongst the mean

Question 19

Range is Given
Mean is Given

Can we find STD?

Answer 19

No

Question 20

Mean = Range

Can we find Median?

Answer 20

No

Question 21

Mean = Range

Can we find STD?

Answer 21

No

Question 22

Set N has 3 terms: a,b,c

b = mean
what is median?

Answer 22

b

Question 23

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

Answer 23

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

Question 24

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

Answer 24

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

Question 25

What is the change in (x+y) if after 1 year, x increased 20% and y increased 30%

Answer 25

We can’t find unless we know the value of initial (x+y)

Question 26

441

Answer 26

21 Squared

Question 27

169

Answer 27

13 squares

Question 28

0.16667

Answer 28

1/6

Question 29

0.125

Answer 29

1/8

Question 30

1/8

Answer 30

0.125

Question 31

5/6

Answer 31

0.8333

Question 32

0.8333

Answer 32

5/6

Question 33

0.875

Answer 33

7/8

Question 34

How to quickly find product of all integers in a set using GCF and LCM

Answer 34

Product = GCF * LCM

Question 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?

Answer 35

1

Question 36

If the GCF of all integers in a set is 1, then what is the LCM?

Answer 36

The product of all integers in the set

Question 37

E + E =
E + O =
O + O =

Answer 37

E
O
E

Question 38

EE =
EO =
O*O =

Answer 38

E
E
O

Question 39

E/E =
E/O =
O/E =
O/O =

Answer 39

E
E
O/E -> non integer
O/O = O

Question 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

Answer 40

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

Question 41

When is |x - y| > |x| - |y|?

Answer 41

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