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- Number Series - NS
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- Logical Reasoning
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Number series short Tricks & Questions with solutions Daily Visit | (A Complete Hub for Government Exams Preparation) 1

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Questions on number series are prevalent in most of the exams. Almost 4-5 Questions comes in exam from this topic. These questions are based on numerical sequences that follow a logical rule/ pattern based on elementary arithmetic concepts. A particular series is given from which the pattern must be analyzed. You are then asked to predict the next number in the sequence following the same rule. Below are the common pattern of questions usually asked in numbers series: I. Fibonnaci Series The Fibonnaci sequence is a series of numbers where a no. is found by adding up the nos. before it. Let us understand the series with the help of an example: Example 1: Number series is a arrangement of numbers in a certain order, where some numbers are wrongly put into the series of numbers and some number is missing in that series, we need to observe and find the accurate number to the series of numbers. Tips For Number Series 1 ) Try to observe if there are any familiar numbers in the given series. 2 ) Familiar numbers are the numbers which which are easy to identify like primes numbers, perfect squares, cubes. 3 ) If you are unable to find familiar number, Calculate the differences between the numbers and observe the pattern in the differences. 4) If the differences are growing slowly it might be an addition or subtraction series or If the differences are growing rapidly it might be a square series, cube series, or multiplicative series. 5) If the differences also are not having any pattern then observe every alternate number (ie every 3rd number form a series) for any pattern. 6) The possible cases may be like sum or the average of two consecutive numbers gives 3rd number. 7 )If still you do not find any pattern, it signifies that the series follows a complex pattern. Check for cases like multiplying the number and adding/subtracting a constant number from it to reach the pattern. 0,1,1,2,3,5,8,13,21,___. Example 2: 20, 12, 32, 44, 76, 120,____. II. Addition series There can be 2 types of pattern in addition series. (A) Same number Addition series In this type of series, the difference between 2 consecutive elements is same i.e. same digit is to be added to the previous element to obtain the next element. Example 3: 3, 6, 9, 15, 18,___. Sol. In the given series, the difference between the two consecutive elements is same i.e 3. In this type of series, the number added to each term is in increasing order. Daily Visit | (A Complete Hub for Government Exams Preparation) 3

Example 6: 94, 90, 85, 79, 72, 64,___. Sol. Here the difference between 2 consecutive elements is in increasing order. (B) Increasing order Addition series In the given series, the difference between 2 consecutive numbers is in increasing order. Example 4: 2, 5, 9, 14, 20, 27,____. Sol. In the given series, the difference between 2 consecutive numbers is in increasing order i.e 3,4,5,6,7 and 8 respectively. IV. Multiplication Series (A) Same number multiplication Series In this series, the ratio between 2 consecutive elements is same. Example 7: 4, 12, 36, 108, 324,____. III. Subtraction series In the given series, previous element is multiplied by 3 to obtain the next element and therefore the ratio between 2 consecutive elements is same. (A) Same Number Subtraction Series In this type of series, each time the same number is subtracted from the previous element to obtain the next element. Example 5: 52, 49, 46, 43, 40,____. Sol. Here the difference between 2 consecutive nos. is 3. (B) Increasing order of Multiplication Series In this type of series, elements are multiplied in increasing order to find the next element. Example 8: 5, 5, 7.5, 15,___. (B) Increasing order Subtraction Series In the given series, the ratio between 2 consecutive elements is in increasing order and elements are multiplied by the numbers in increasing order. Daily Visit | (A Complete Hub for Government Exams Preparation) 4

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