# CAT Quant Practice Problems

Question: A and B work at digging a ditch alternately for a day each. If A can dig a ditch in‘a’days and B can dig that ditch in ‘b’ days, will work get done faster if A begins the work?

I. n is a positive integer such that $n\left( {\frac{1}{a} + \frac{1}{b}} \right) = 1$

II. b > a

 The question can be answered with the help of statement I alone, question can be answered with the help of statement II, alone, Both, statement I and statement II are needed to answer the question, and The question cannot be answered even with the help of both the statements.

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CAT Quant Practice Problems