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Races and Games (553 views)
 

 

Races: A contest of speed in running, riding, driving, sailing or rowing is called a race.

Race Course: The ground or path on which contests are made is called a race course.

Starting Point: The point from which a race begins is known as a starting Race.

Winning Point or Goal: The point set to bound a race is called a winning point or a goal.

Winner:

 
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Chain Rule (560 views)
 

 

Direct Proportion: Two quantities are said to be directly proportional, if on the increase of the one, the other increases to the same extent

Ex: Cost is directly proportional to the number of articles.

(More articles, more cost)

Indirect Proportion: Two quantities are said to be indirectly proportional, if on the increase of the one, the other decreases to the same extent and vice-versa.

Ex: Th ..

 
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Area (592 views)
 

 

Perimeter: Perimeter of a plane figure is the measure of the length of its boundary. The unit of perimeter is same as the unit of length i.e., centimeter (cm), meter (m), kilometer (km), etc….

Area: Perimeter of a plane figure is the measure of the region enclosed by it. The various units of measuring area are: 1 square cm (cm2), 1 square meter (m2), 1 hectare etc…….

Perimeter and Area: < ..

 
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Heights and Distances (517 views)
 

 

Trigonometry helps us in finding height of objects and distances between the points without actually measuring them.

 

 

Angle of Evaluation: Let PQ be a tower (pillar/shell/miner/pole) etc...Standing on a level ground and the observer is standing at any point R on the level ground, is viewing at P.

 

 

The angle, which the line RP makes with the horizontal line RQ is ca ..

 
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Clocks (561 views)
 

 

A “Clock” is an instrument which indicates time at a moment. The face or dial of a clock is a circle which is divided in 60 equal which are called minutre spaces.

The clock has two hands, the smaller one is called hour hand as it denotes hours and the larger one is called minute hand as it denotes minutes.

The hours are denoted from 1 to 12 and the minutes have markings from 1 to 60. In between every two ..

 
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Probability (524 views)
 

 

If one dice is rolled randomly, the set of total possible outcome is{1, 2, 3, 4, 5,6} and the set of all outcomes even number is 2,4,6.

From the above example we design some definitions.

The word PROBABILITY is used to indicate a vague possibility that something might happen. It is also used synonymously with chance

Experiment: The process of rolling dice is known as “experiment”

Random Exper ..

 
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Pipes and Cisterns (524 views)
 

 

Pipe and cistern is more similar to Time and Work, First of all we check the nature of pipes.

Suppose, pipe A can fill a tank, mean nature of Pipe A is positive

And pipe B can empty a tank, mean nature of pipe B is negative.

Work to be done is usually considered as one unit. It may be, constructing a wall or laying a road, filling up or emptying a tank or cistern or eating certain amount of food.

If there is more than one person ..

 
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Boats and Streams (597 views)
 

Boats and Streams are four types of speed:

 

Type1: Speed of the boat/boatman in still in still water, denoted by x km/hr.

 

Type 2: Speed of the water, denoted by y km/hr.

 

Type 3: Speed of the boatman or boat in along the stream is called downstream speed of boatman or boat and denoted by u km/hr.

 

Type 4: Speed of the boatman or boat against the stream is called ..

 
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Problems on Ages (686 views)
 

 

Problems based on ages are generally asked in most of the competitive examinations. To solve these problems, the knowledge of linear equations is essential. In such problems, there may be three situations:

1. Age some year’s age

2. Present age

3. Age some year’s hence

Problems on Ages problems will cover the basic concepts and easy to solve. Test conducted to know the logical thinking capacity of a p ..

 
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Ratio and Proportion (570 views)
 

 

Ratio: Ratio is the comparison of two quantities by division. The ratio of a to b is written as

a: b= a/b= a+b

Proportion: A proportion is an expression which states that two ratios are equal.

Eg: 3/12=1/4 is a proportion

It can also be expressed as

3:12=1:4 or 3:12:: 1:4

Each quantity in proportion is called a term proportional. The first and last terms are called the extr ..

 
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