Data Sufficiency - Ratio n/m

MAT 2018 · Data Analysis & Sufficiency · Easy · Data Sufficiency

What is the numerical value of the ratio nm\frac{n}{m}?

Statement I: mn=14mn = 14 Statement II: m=6nm = 6n

Choose: (a) if the question can be answered by one statement alone, but cannot be answered by using the other statement alone. (b) if the question can be answered by using either statement alone. (c) if the question can be answered by using both the statements together but cannot be answered by using either statement alone. (d) if the question cannot be answered even by using both the statements together.

  1. A.

    if the question can be answered by one statement alone, but cannot be answered by using the other statement alone.

  2. B.

    if the question can be answered by using either statement alone.

  3. C.

    if the question can be answered by using both the statements together but cannot be answered by using either statement alone.

  4. D.

    if the question cannot be answered even by using both the statements together.

Answer

A

Explanation

From Statement II: m=6n⇒nm=16m = 6n \Rightarrow \frac{n}{m} = \frac{1}{6}. Thus, Statement II alone is sufficient to find nm\frac{n}{m}. Statement I: mn=14mn = 14 gives product, not ratio. Thus, Statement II alone is sufficient.

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