Solution and Explanation:
The marginal rate of substitution slopes downward along the demand curve. The given statements is true as the MRS is equal to the ratio price of good X and good Y. the ratio decreases when the individual moves downward along the demand curve. Thus, option C is correct.
The level of utility increases as individual moves downward along the demand curve. The statement is true because the fall in price causes the budget line to pivot outward and the consumer is able to move to a higher indiffference curve. Thus, option A is correct.
An engel curve shows the quantity of one good purchased at different income levels. the given statament is false because in case of inferior goods the Engel curve slopes downward.
Thus, option E is correct.