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CAT Exam Model Paper 4 with solutions for free online practice

Question : 24 of 60

Marks: +1, -0

Mark (a) if the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.

Mark (b) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.

Mark (c) if the question can be answered by using either statement alone.

Mark (d) if the question cannot be answered even by using both the statements together.

\frac{a+K}{b+K} > \frac{a}{b} ?

B. a > 7, b > 10

Solution:

From Statement A:

This statement is clearly insufficient. The answer can given only when exact values of a, b and K are known.

For example let (a, b) = (4, 2) or

\frac{a}{b}=2

Case 1: K = 0

\frac{a+K}{b+K} = \frac{a}{b}

Case 2: K = 2

\frac{a+K}{b+K} = \frac{6}{4} = \frac{3}{2} < \frac{3}{b}

Case 3: K = -1

\frac{a+K}{b+K} = \frac{3}{1} = 3 > \frac{a}{b}

From Statement B:

As explained above for Statement A, this statement is also insufficient to answer without knowing the exact values of a, b and K.

Combining Statement A and Statement B:

Even the two statments combined cannot give a unique answer.

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