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Study Material and Tips

### Tips to Solve Problems on Probability

FACTS AND FORMULAE FOR PROBABILITY QUESTIONS 1. Experiment : An operation which can produce some well-defined outcomes is called an experiment. 2. Random Experiment :An experiment in which all possible outcomes are know and the exact output cannot be predicted in ad...

### Tips to Solve Problems on Pipes and Cisterns

FACTS AND FORMULAE FOR PIPES AND CISTERN PROBLEMS 1. Inlet : A pipe connected with a tank or a cistern or a reservoir, that fills it, is known as an inlet. 2. Outlet : A pipe connected with a tank or cistern or reservoir, emptying it, is known as an ...

### Tips to Solve Problems on Permutations and Combinations

FACTS AND FORMULAE FOR PERMUTATIONS AND COMBINATIONS QUESTIONS 1. Factorial Notation: Let n be a positive integer. Then, factorial n, denoted n! is defined as: n!=n(n - 1)(n - 2) ... 3.2.1. Examples : We define 0! = 1. 4! = (4 x 3 x 2 x 1)...

### Tips to Solve Problems on Heights and Distances

1.In a right angled,where 2. Trigonometrical Identities : 3. Values of T-ratios : 4. Angle of Elevation: Suppose a man from a point O looks up at an object P, placed above the level of his eye. Then, the angle which the line of sight makes with the horizontal through O, is called the angle of elevation of P as seen ...

### Tips to Solve Problems on Compound Interest

FACTS AND FORMULAE FOR COMPOUND INTEREST QUESTIONS Let Principal = P, Rate = R% per annum, Time = n years. I. 1. When interest is compound Annually: Amount = 2. When interest is compounded Half-yearly: Amount = 3. When interest is compounded Quarte...