To answer this question, let's analyze the given equation and the relationship between the variables:
Given: A/B = C and C > D
We are asked to determine which of the following statements is true.
Option A) A is always greater than D: This statement is not necessarily true. Since A and B are not explicitly defined, we cannot conclude any specific relationship between A and D. The given equation A/B = C does not provide enough information to make this statement always true.
Option B) C is always greater than D: This statement is true. Since C is greater than D, any value of A/B that equals C will also be greater than D. This is because if A/B = C and C > D, then multiplying both sides of the equation by B gives us A = BC. Since C > D, A will always be greater than D.
Option C) B is always less than D: This statement is not necessarily true. Similar to Option A, we don't have enough information about the relationship between B and D. Therefore, we cannot conclude that B is always less than D.
Option D) None of the above: This option is incorrect, as we have concluded that Option B is true.
Therefore, the correct answer is Option B) C is always greater than D.