Dear Readers,

We are providing you Important Short Tricks on Number Series Questions which are usually asked in Bank Exams. Use these below given short cuts to solve questions within minimum time. These shortcuts will be very helpful for your upcoming SBI Clerk Mains & SBI PO Exam 2016.

To make the chapter easy for you all, we are providing you all some Important Short Tricks to Number Series Questions which will surely make the chapter easy for you all.

**What is Number Series?**

Number series is a form of numbers in a certain sequence, where some numbers are Mistakenly put into the series of numbers and some number is missing in that series, we need to observe first and then find the accurate number to that series of numbers.

In competitive exams number series are given and where you need to find missing numbers and mistakenly put into the series numbers. The number series are come in different types. At first you have to decided what type of series are given in papers then according with this you have to use shortcut tricks as fast as you can.

**How to solve questions on “Number Series”?**

(I) Questions on number series give you a series of numbers which are all connected to each other. Once you have identified this pattern, solving the question becomes very simple.

(II) This pattern can be of various kinds. Check the section below for a list of common patterns which are frequently present in the Bank Exam.

(III) Once you have identified the pattern, apply it to the number before/ after the missing number in the series to get the desired answer.

**Common Patterns in “Number Series” Questions**

**(1) Prime Numbers:**when numbers are a series of prime numbers (a natural number which is greater than 1 and has no positive divisors other than 1 and the number itself)

For example – 11, 13, 17, 19…

(

**2) Squares/ Cubes**: when numbers are a series of perfect square or cube roots.
For example – 81, 100, 121, 144, 169…

**(3) Patterns in differences**: Calculate the differences between the numbers given in the series provided in the question. Then try to observe the pattern in the new set of numbers that you have obtained after taking out the difference.

For example – 2, 5, 8, 11, 14… (here the difference between the numbers is 3, hence the next number will be 17)

**(4) Pattern in Alternate numbers**: when there is a pattern between every alternate or third number in the series

For example – 2, 9, 5, 12, 8 , 15, 11….

**(5) Geometric series**: when each successive number in the series is obtained by multiplying or dividing the previous number by a fixed number.

For example – 5, 45, 405, 3645

**(6) Odd One out:**when all but one number is part of a series

For example – 5, 10, 12, 15, 20… (Here all numbers except, 12 are multiples of 5)

**(7) Pattern in adjacent number:**when adjacent numbers in the series changes based on a logical pattern.

For example – 2, 4, 12, 48… (Here the first number is multiplied by 2, the second number by 3 and the third number by 4)

**(8) Complex series:**in some patterns the differences between numbers is dynamic rather than being fixed, but there still is a clear logical rule.

For example – 3, 4, 6, 9, 13, 18.. (Here you can add 1 to the difference between two adjacent items. After the first number add 1, after the second number add 2 and after the third number you can add 3)

**(9) Using two or more basic arithmetic functions**: in some series more than one operation (+, -, ÷, x) is used.

For example – 5, 7, 14, 16, 32… (here you can add 2, multiply by 2, add 2, multiply by 2, and so on)

**(10) Cube roots/ square roots**: when the number are a series of cube roots and square roots

For example – 512, 729, 1000… (here the next number in the series will be 1331)

**(11) Alternate Primes**: Here the series is framed by taking the alternative prime numbers.

For example 2, 5, 11, 17, 23, _, 41

After 23, the prime numbers are 29 and 31. So the answer is 31.

**(12). Every Third number can be the sum of the preceding two numbers:**

For example 3, 5, 8, 13, 21

Here starting from third number 3 + 5 = 8, 5 + 8 = 13, 8 + 13 = 21,

So, the answer is 13 + 21 = 34

**Practice Example**

1. Find the next term of following series: 276, 140, 68, 36 ?

a) 16

b) 12

c) 15

d) 14

e) None of these

2.Find the next number of the following series: 672, 560, 448, 336, 224?

a) 122b) 112

c) 142

d) 182

e) 162

3.What should come in place of question mark : 1721, 2190, 2737, 3368?

a) 4089b) 5089

c) 3089

d) 2089

e) None of these

4. Find Odd One Out 50 51 47 56 42 65 29

a) 51b) 47

c) 56

d) 42

e) 65

**Answers :-**

1.A

2.B

3.A

4.D

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