Question : ______ is the change in total utility due to the consumption of one additional unit of a commodity.

Option 1: Product Utility (PU)

Option 2: Revenue Utility (RU)

Option 3: Demand Utility (DU)

Option 4: Marginal Utility (MU)

Question : Which of the following statements is correct regarding the marginal utility of a commodity?

I. It is the change in total utility due to the consumption of one additional unit of a commodity.
II. It diminishes with an increase in consumption of the commodity.

Option 1: Both I and II

Option 2: Only II

Option 3: Only I

Option 4: Neither I nor II

Question : If $x=\frac{4\sqrt{15}}{\sqrt{5}+\sqrt{3}}$, the value of $\frac{x+\sqrt{20}}{x–\sqrt{20}}+\frac{x+\sqrt{12}}{x–\sqrt{12}}$ is:

Option 1: $1$

Option 2: $2$

Option 3: $\sqrt{3}$

Option 4: $\sqrt{5}$

Question : Work done by $(x + 4)$ men in $(x + 5)$ days is equal to the work done by $(x - 5)$ men in $(x + 20)$ days. Then the value of $x$ is:

Option 1: 20

Option 2: 25

Option 3: 30

Option 4: 15

Question : Find the radius of the circle $x^2+y^2=25$.

Option 1: 25 units

Option 2: 5 units

Option 3: 2 units

Option 4: 12 units