**Category : **6th Class

**SERIES**

A series is a uniform set of digits, letters, figures etc. In a series, the terms fall according to a certain rule. To complete a series or to identify a missing term, a candidate is required to identify the rule on which the given series has been formed. Let us illustrate readers with the help of examples and its explained answers.

**EXAMPLE**

**1. Choose the missing term in the given series.**

1, 2, 4, 8, 7, 32

(a) 12 (b) 16 (c) 20 (d) 28

**Explanation (b):**

In the given series, each term except first term is twice its preceding term.

Second term \[=2\times 1=2\]

Third term \[=2\times 2=4\]

Fourth term \[=2\times 4=8\]

Fifth term \[=\text{ }2\times 8=16\]

Sixth term \[=\text{ }2\times 16=32\]

Thus, required term = 5th term =\[\]

So, the correct option is (b).

**2. Identify the missing term.**

5, 7, 11, 13, ?, 19, 23

(a) 17 (b) 16 (c) 15 (d) 14

**Explanation (a):**

Let us observe the given series in the following way:

5+2=7

7+4= 11

11+2=13

13+4=\[\]

17+2=19

19+4=23

Clearly, the pattern is: +2, +4, +2, +4, +2, +4

Thus, the missing term is \[\].

So, the correct option is (a).

**3. The following series consists of five figures named problem figures. Select a figure from amongst the figures (a), (b), (c) and (d) which will continue the same series as established by the five problem figures.**

(a) (b) (c) (d)

**Explanation (c):**

In each next figure a new element appears.

The upper two elements and the lower two elements interchange their places alternately.

Therefore, the correct option is (c).

**INSERTING THE MISSING CHARACTER**

A pattern is a design or a set of figures and it contains numbers or letters or both.

Out of these characters a number/letter is missing.

To identify the missing number/letter a candidate is required to decipher the pattern.

The following example would be helpful for pattern based problems.

**4. Which number will replace the question mark in pattern below?**

(a) 21 (b) 23 (c) 25 (d) 27

**Explanation (c):**

From fig. (i) : 6 + 4 + 8 = 18 and 18 + 2 = 20

From fig. (ii): 7 + 9 + 8 = 24 and 24 + 2 = 26

From fig. (iii): 6 + 5 + 12 = 23 and 23 + 2 = \[\]

Hence, the number 25 will replace the question mark.

So, the correct option is (c).

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