## Series

Series: The Well Arranged order of Number/letter placed in a special group is called series.

## Series completion deals with questions in which series of numbers or alphabetical letters are given, which are generally called as terms of the series. These terms follow a certain pattern throughout. The candidate is required to recognize this pattern and either complete the given series with the most suitable alternative or find wrong in the series.

## The Questions from these chapter can classified into three groups:

### 1. Number Series:

##### TYPE1: Completing the Series:

A Number Series will be given with one term missing, We have to choose the correct alternative that will continue the same pattern and fill in the blank Space.

#### Example:

**Example 1:** 1, 4, 9, 16, 25, ?

a) 35

b) 36

c) 48

d) 49

**Solution:** (b) 36, As Given series is of Perfect Squares

**Example 2: **2, 3, 5, 7, 11, (...), 17

a) 12

b) 13

c) 14

d) 15

**Solution: **(b) Consecutive Prime Numbers are given in the Series. After 11 next Prime Number is 13.

##### TYPE2: Picking the Wrong Element:

A Number Series will be given, one number in the number series will be wrong. We have to figure out the wrong term.

#### Example:

**Example1: **1, 4, 9, 16, 25, 37, 49

a) 16

b) 9

c) 25

d) 37

**Solution:** (d) The series is of Perfect Squares but 37 is not a Perfect Square

**Example2:**1, 8, 27, 64, 125, 224, 343

a) 224

b) 343

c) 64

d) 27

Solution: (a) The Series of Cubes of 1

^{3}, 2^{3}, 3^{3}, 4^{3}, 5^{3}, 6^{3}, 7^{3 }But 224 is not cube of 6.### 2. Alphabet Series:

Various term of a letter series will be given with one term missing. We have to choose the missing term out of the given alternatives.

#### Example:

**Example1:**BEH, KNQ, TWZ,?

a) IJK

b) CFI

c) BDF

d) ADG

**Solution:**(b) The Series can written in 3 Part

1 B(2) + 9 K(11) +9 T(20) +9

**C(3)**2 E(5) + 9 N(14) +9 W(23) +9

**F(6)**3 H(8) + 9 Q(17) +9 Z(26) +9

**I(9)****Example2:**U, O, I, ? ,W

a) E

b) C

c) S

d) G

**Solution:**(b) U(21)-6=> O(15)-6=> I(9)-6=> C(3)-6=> W(23)

### 3. Letter Series:

In letter series, some of the letters are missing which are given in that order as one of the alternative. We have to choose the alternative which complete the series.

#### Example:

**Example1:**

**a_bbc_aab_cca_bbcc**

a) bacb

b) acba

c) abba

d) caba

**Solution:**(b) The Pattern is aabbcc

**Example2:**

**a_bc_c_abb_bca_**

a) cccbc

b) cbbac

c) accba

d) abbba

**Solution:**(c) Pattern is aabcc ccabb bbcaa