- the conjunction "and" between northern and southern alphabets requires a plural verb hence A and D are out

- "from which" refers to the script, so should not follow "it", hence B is out
- idiom is " something is derived from", eliminate E

John spends one-fourth of his salary on rent and two-third less than he spent on rent for the utilities. What fraction of his earnings did he spend on the rent and utilities?

let x be the salary:
on rent he spent x/4
on utilities he spent x/4(1-2/3)
total x/6

answer:1/6
correct?

A.

increase by a factor means geometrical progression with factor a
Starting with 10

after 2 iterations, ie 7pm, population should reach 10axa=10a^2
hence 10a^2=14.4
a=1.2 or -1.2 but a>0, so i keep a=1.2 only

at 4pm, after 1 iteration of 3h, we have 10x1.2=12

E.
square root of x^2 is abs of x.
This is not debatable, it is a formula

2^x - 2^(x-2) = 3(2^13)

1. Factorization by 2^(x-2) as it is the highest factor of 2^x - 2^(x-2)
(2^2-1)x2^(x-2)=3(2^13)
3x2^(x-2)=3(2^13), ie by dividing by 3 each side of equation
2^(x-2)=2^13

hence x-2=13
x=15

D

11. The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person? for 10 people, individual cost is x/10 for 16, x/16. x/10-x/16=(8x-5x)/8...

I think B

"A phenomenon which" should be "a phenomenon that" hence neither D nor E

1. Area=(hxb)/2 and have to assume one of the sides is equal to h.

Area=5x8/2=20, so 20 works fine

the 3rd side of the triangle must be > 8+5=13

Choice B