# Worked Examples

**In this type, a letter series is given with some blank spaces in between. Each blank space represents a letter. Students should observe the series and find out the pattern followed by the letters. Five options are given, in which each option contains as many letters as there are blank spaces in the series. However, only the letters from one of the options fits into the blank spaces in the same order. Students have to analyse the pattern of letters in the series and select the appropriate option.**

Example-1

a _ c _ b _ a b _ a _ c a _ c

- a c c b a b
- a c b b c a
- a b a c c b
- b a c c b b

Solution

By inspection, we notice that the set of letters â€˜a b câ€™ repeats five times in the series.
If the letters b, a, c, c, b and b are placed in the blanks in the same order, the pattern gets completed.
Therefore, the correct alternative is (4).

**Answer:**(4)Example-2

a _ _ a a _ c _ a b _ a

- b c c a b
- b a c a c
- b c b a c
- a c c b a

Solution

In this example, the set of letters â€˜a b c aâ€™ is repeated thrice.

**Answer:**(3)Example-3

_ b _ b c a _ a _ a b _

- a c c c b
- a c c b c
- a b c b c
- a c a b c

Solution

Here, the series is
The set of three letters is appearing in a cyclic manner.
Therefore, the series can be completed by filling the blanks with a c c b c.

__a__b__c__b c a__c__a__b__a b__c__.**Answer:**(2)Example-4

a _ m _ n n c _ o d _ p

- m b o p
- l b c d
- m a o d
- m n o p

Solution

In this example, same letters are not repeated.
By observation, we notice that the series is a

__m__m__b__n n c__o__o d__p__p**Answer:**(1)Example-5

y _ y _ y y _ _ y y y _ y y _ y

- y y y y y x
- x x y x x y
- y y x x x y
- x y x y x y

Solution

The series is y x y y y y x y y y y x y y y y
Thus, in each successive term, â€˜xâ€™ moves one position forward and â€˜yâ€™ occupies its place.
Finally, in the fourth term, x disappears.

**Answer:**(4)Example-6

k k _ k k k _ k k k k _ k k k k _ p

- p p k k
- k k p p
- p p p p
- p p p k

Solution

The series is k k
We notice that the number of â€˜kâ€™ is increasing by one in each successive term.

__p__k k k__p__k k k k__p__k k k k__k__p**Answer:**(4)Example-7

a b _ c _ c _ a _ a b _ a _ c c

- b b c c a b
- a a b c b a
- c b a c b b
- b a c b b c

Solution

The series is a b

__c__c__b__c__a__a__c__a b__b__a__b__c c**Answer:**(3)Example-8

a b _ a _ b _ c c _ a a b b b _ _ c

- a b c a b b
- c a b a c c
- c a b c b c
- c b b c a a

Solution

Here, the number of times the letters repeat in successive terms is increasing.
Thus, the series is a b

__c__a__a__b__b__c c__a__a a b b b__c____c__c**Answer:**(2)Example-9

g g _ _ h h k k _ g g h _ k k g _ k

- g h k h h
- g h k h g
- k g k g h
- h g k g h

Solution

The series is g g g,

__h__h h, k k__k__, g g, h__h,__k k, g,__h,__k.**Answer:**(1)Example-10

m n _ _ n m _ n p p _ m _ n p p _ m

- n p m n p m
- p p n m n m
- m m p p n n
- p p m n m n

Solution

In this series, the set of letters â€˜m n pâ€™ and â€˜p n mâ€™ appear alternately.
m n

__p____p__n m__m__n p p__n__m__m__n p p__n__m**Answer:**(4)