Which of the following are correct statements?

(A) Marginal Utility is the change in Total Utility due to consumption of one additional unit of commodity.
(B) Two Indifference Curves intersect each other.
(C) Marginal Utility becomes Zero at a level when Total Utility remains constant.
(D) Diminishing Marginal Rate of Substitution does not affect Indifference Curve.
(E) Indifference Curve slopes downwards from left to right.

Choose from the options given below:

The correct option is (A), (C) and (E) only.

Let us analyze each statement step-by-step to understand why they are correct or incorrect:

Statement (A): Marginal Utility is the change in Total Utility due to consumption of one additional unit of commodity.
This statement is correct. Marginal Utility (MU) measures the additional satisfaction or utility gained from consuming one more unit of a good. Mathematically, it is expressed as:
$$M{U}_n=T{U}_n-T{U}_{n-1}$$
where TU_n is the total utility from n units, and TU_n-1 is the total utility from n-1 units.

Statement (B): Two Indifference Curves intersect each other.
This statement is incorrect. Indifference curves represent different levels of satisfaction. If two indifference curves were to intersect, it would imply that the point of intersection yields two different levels of utility simultaneously, which violates the core economic assumptions of transitivity and non-satiation (monotonic preferences).

Statement (C): Marginal Utility becomes Zero at a level when Total Utility remains constant.
This statement is correct. Total Utility (TU) reaches its maximum value and remains momentarily constant at the point of satiety. Since Marginal Utility is the rate of change of Total Utility, when Total Utility is at its maximum and constant, the change in utility is zero:
$$MU=0$$
After this point, any further consumption leads to negative marginal utility (disutility), causing Total Utility to decline.

Statement (D): Diminishing Marginal Rate of Substitution does not affect Indifference Curve.
This statement is incorrect. The Diminishing Marginal Rate of Substitution (MRS) directly determines the shape of the indifference curve. Specifically, because the MRS decreases as a consumer substitutes one good for another, the indifference curve is convex to the origin.

Statement (E): Indifference Curve slopes downwards from left to right.
This statement is correct. An indifference curve has a negative slope (slopes downward from left to right) because of the assumption of monotonic preferences. To keep the total level of utility constant, if the consumer increases the consumption of one commodity, they must reduce the consumption of the other commodity.

Conclusion:
Since statements (A), (C), and (E) are correct, and statements (B) and (D) are incorrect, the correct option is (A), (C) and (E) only.