Question : A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid.

Option 1: 2 : 3

Option 2: 3 : 1

Option 3: 1 : 3

Option 4: 3 : 2

Question : Sum of the factors of $4b^2c^2-(b^2+c^2-a^2)^2$ is:

Option 1: $a+b+c$

Option 2: $2(a+b+c)$

Option 3: $0$

Option 4: $1$

Question : What is the difference of the factors of the expression $x^2+\frac{1}{x^2}-6$?

Option 1: 0

Option 2: 1

Option 3: 2

Option 4: 4

Question : Soil factors are otherwise known as :

Option 1: Edaphic factors

Option 2: Biotic factors

Option 3: Physiographic factors

Option 4: Climatic factors 

Question : If $a^{3}+\frac{1}{a^{3}}=2$, then the value of $\frac{a^{2}+1}{a}$ is ($a$ is a positive number):

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4