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Syllabus for CAT examination

Number Systems and interconversion between binary,decimal & hexadecimal Systems

Tips and formulae for solvingProbability problems

Techniques and tricks for solving Profit and Loss problems

Some important tips and tricks for solving two body or relative motion problems

Some Tips for CAT Reading Comprehensions

1. If A can do a piece of work in n days, then the work done by A in one day = $ \frac{1}{n} $.

2. If A does $ \frac{1}{n} $ work in one day, then days required for A to finish this work is n days.

3. If B do 2 times as work as A, then

Ratio of workdone by B and A = 2 : 1

4. The time taken by both together to complete that work will be $ (\frac{1}{n} + \frac{2}{n})^ -1 = \frac{n}{3} $

5. The ratio of time taken by B and A to finish to work = 2 : 1

Let's solve some examples

EX. A and B undertake to do a piece of work for RS. 600. A alone can do it in 6 days while B alone can do it in 8 days With the help of C, they finish it in 3 days. Find the share of each.

C's 1 day work = $ \frac{1}{3} - ( \frac{1}{6} + \frac{1}{8} ) = \frac{1}{24}.$

A:B:C = Ratio of their 1 day's work = $ \frac{1}{6} : \frac{1}{8} :\frac{1}{24} = 4 : 3 : 1 $

A's share = RS. (600 * 4\8) = RS.300 & B's share = RS. (600 * 3/8) = RS.225

C's share = RS.[600 - (300+225)] = RS.75

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