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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...

### Tips to Solve Problems on Clocks

The face or dial of a watch is a circle whose circumference is divided into 6 equal parts, called minute spaces. A clock has two hands, the smaller one is called the hour hand or short hand while the larger one is called the minute hand or long hand. (i). In 60 minutes, the minute hand gains 55 minutes on the hour on the hour hand. (ii). In every hou...

### Tips to Solve Problems on Average

1. Average = 2. Suppose a man covers a certain distance x kmph and an equal distance at y kmph. Then, the average speed during the whole journey isKmph...

### List of World's Important Days

World's Important Days or International Days are days to observe issue of world's concern and interest. These international days are days used by the world community to commemorate, promote and mobilize for certain action. January January 1 : International Day of Peace (World Peace Day) January 1 : Global Family Day January 5 &...