Question

Assume that XY=MN . Which of the following statements are true? (Assume that X, Y, M, N, and F are nonzero real numbers, and assume that all expressions have nonzero denominators.) Create an answer using the numbers associated with the true statements. For example, if only 1, 2, and 5 are true, then the answer is 125; if only 3 and 5 are true, then the answer is 35, etc.

Answer 1

123

Explanation:

The complete question is Assume that X/Y=M/N . Which of the following statements are true? (Assume that X, Y, M, N, and F are nonzero real numbers, and assume that all expressions have nonzero denominators.) Create an answer using the numbers associated with the true statements. For example, if only 1, 2, and 5 are true, then the answer is 125; if only 3 and 5 are true, then the answer is 35, etc

The statements are given in 1st attachment and answer choices are given in 2nd attachment

Let's start by verifying statements 3 and 4 as these are easy to verify

To verify statement 3,

(X+Y)/Y= (M+N)/N

X/Y + 1= M/N + 1

since X/Y=M/N

X/Y + 1= X/Y +1

So statement 3 is true

To verify statement 4,

(X+F)/Y= (M+F)/N

X/Y + F/Y = M/N + F/N

Statement 4 is false

Look at the answer choices, statement 3 is mentioned in option c,d and e. Statement 4 is mentioned in c and d. Since statement 4 is incorrect our answer is option e