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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
  1. a c c b a b
  2. a c b b c a
  3. a b a c c b
  4. b a c c b b
Solution
By inspection, we notice that the set of letters ‘a b c’ 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
  1. b c c a b
  2. b a c a c
  3. b c b a c
  4. a c c b a
Solution
In this example, the set of letters ‘a b c a’ is repeated thrice.
 
Answer: (3)
 
 
Example-3
_ b _ b c a _ a _ a b _
  1. a c c c b
  2. a c c b c
  3. a b c b c
  4. a c a b c
Solution
Here, the series is a b c b c a c a b a b c.
 
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.
 
Answer: (2)
 
 
Example-4
a _ m _ n n c _ o d _ p
  1. m b o p
  2. l b c d
  3. m a o d
  4. 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
  1. y y y y y x
  2. x x y x x y
  3. y y x x x y
  4. 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, ‘x’ moves one position forward and ‘y’ 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
  1. p p k k
  2. k k p p
  3. p p p p
  4. p p p k
Solution
The series is k k p k k k p k k k k p k k k k k p
 
We notice that the number of ‘k’ is increasing by one in each successive term.
 
Answer: (4)
 
 
Example-7
a b _ c _ c _ a _ a b _ a _ c c
  1. b b c c a b
  2. a a b c b a
  3. c b a c b b
  4. 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
  1. a b c a b b
  2. c a b a c c
  3. c a b c b c
  4. 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
  1. g h k h h
  2. g h k h g
  3. k g k g h
  4. 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
  1. n p m n p m
  2. p p n m n m
  3. m m p p n n
  4. p p m n m n
Solution
In this series, the set of letters ‘m n p’ and ‘p n m’ appear alternately.
 
m n p p n m m n p p n m m n p p n m
 
Answer: (4)
 




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