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Series Order tricks, shortcuts and examples.

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Series Order tricks : A category of three, four or some numbers is given in the competitive examination. There is a mutual relationship among these numbers. The same relationship has to be understand and the same basis is to be increased further. Examples : 1) What will be the next number in the following series. 3, 10, 31, 94, ----- Ans. : Each terms is increasing by : ( n × 3 ) + 1. Therefore, ( 3 × 3 ) + 1 = 10 ( 10 × 3 ) + 1 = 31 ( 31 × 3 ) + 1 = 94 ( 94 × 3 ) + 1 = 283 Therefore, next number : 283. 2) Find the next order in the category. 1, 4, 9, 16, ---- Ans. : Each term is a squares of consecutive numbers. therefore, 5 × 5 = 25. therefore, next number = 25. Examples : Q. What will be the next number in the following series .  1) 3, 6, 10, 15, 21, ---- Ans. : The difference in each term is increasing in the form of consecutive numbers. that is 3 + 3 = 6. 06 + 4 = 10. 10 + 5 = 15. 15 + 6 = 21. 21 + 7 = 28. T...
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Ratio and Proportion : formulas, tricks | proportion and ratio examples

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Ratio and Proportion : Ratio: In a cricket match, Sachin scored 160 runs and Rahul scored 80 runs. We can compare their scores in two ways : 1) By Subtraction : Sachin's score - Rahul's score = 160 - 80                                                  = 80 Thus, we see that Sachin has scored 80 runs more than Rahul. 2 ) By division : Let us see how many times Sachin's score is that of Rahul's. To do this, we shall divide Sachin's score by Rahul's. Sachin's score / Rahul's  score = 160 /  80 = 2 / 1. Thus, we see, that Sachin's score is 2 times Rahul's score. Definition of Ratio : "When two quantities are compared by division, then the quotient of that division is called a 'ratio'. The colon ':' is used to express a ratio." The ratio x/y is written as 'x:y' and is read as 'x  is to y'. In the ratio x : y , we call x as the first te...
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Mode in statistics | How to calculate the mode | Mode formula.

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Mode in statistics : Mode definition : For example, some data such as follows : 2, 1, 2, 5, 4, 2, 2, 7, 8, 2. Here, 2 value repeated 5 times that is repeated many times as compared another data. Therefore, 2 is Mode." It is straight forward to calculate mode in case of individual and discrete data.               Mean          Median         Quartile How do you find the mode of  Individual Data ? Que. 1) The following are the marks of 10 students. Calculate the mode. 60, 67, 76, 56, 77, 67, 48, 67, 89, 90. Ans. : Marks            : 48  56  60  67  76  77  89  90 Frequency   :  01  01  01  03  01  01  01  01 Here 67 mark repeated many times that is 3 times. therefore, Mode = 67. Que. 2)  The following are the height in cm of 12 students. Calculate the mode. ...
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