# Logical Reasoning – Set – According to a coding scheme the sentence

## DILR – Logical Reasoning – Set

The following set contains four questions related to Data Interpretation. Choose the best answer to each question.

According to a coding scheme the sentence

“Peacock is designated as the national bird of India” is coded as

5688999 35 1135556678 56 458 13666689 1334 79 13366

This coding scheme has the following rules:

1. The scheme is case-insensitive (does not distinguish between upper case and lower case letters).
2. Each letter has a unique code which is a single digit from among 1,2,3, …, 9.
3. The digit 9 codes two letters, and every other digit codes three letters.
4. The code for a word is constructed by arranging the digits corresponding to its letters in a non-decreasing sequence.

Q 1. What best can be concluded about the code for the letter L?

a) 6

b) 8

c) 1 or 8

d) 1

Q 2. What best can be concluded about the code for the letter B?

a) 1 or 3 or 4

b) 3 or 4

c) 3

d) 1

Q 3. For how many digits can the complete list of letters associated with that digit be identified?

a) 1

b) 3

c) 2

d) 0

Q 4. Which set of letters CANNOT be coded with the same digit?

a) S,U,V

b) X,Y,Z

c) I,B,M

d) S,E,Z

Solution:

Given ‘peacock is designated as the national bird of India’ is coded as ‘ 5688999 35 1135556678 56 458 13666689 1334 79 13366’

So from first and 2nd last word of sentence that is from the coding of peacock and of  we can say  9 is the code for o and c .  It means F is coded as 7 from the word of.

Now from 2nd word (is ) and the 3rd last word (bird) we can say the code for ‘I’ is 3. So S is coded as 5 from the word is and A is coded as 6 from the word ‘as’.

Now N is coded as 6 from the word national. Thus the only alphabet left in the word India ‘D ‘ is coded as 1. T is coded as 8 from the word ‘the’ and ‘National’ similarly E is coded as 5 from the word designated. Thus H is coded as 4 from the word ‘the’. Also P and K are coded as 8 from the word ‘peacock’.

B and R are coded as 3 and 4 many order from the word ‘bird’.

G is coded as 7. L is coded as 1 from the word ‘National’. P and K are coded as 8 from the word ‘peacock’.

So following table can be made for the letters and their code digit

 Code Letter 1 D,L 2 3 I 4 H 5 S,E 6 A,N 7 F,G 8 T,P,K 9 O,C

Now all the questions can be answered.

1. d) 1

2. b) 3 or 4

3. c) 2 , for 8 and 9

4. a) S,U,V , as S and E are already coded with 5 and one digit can not be coded for more than 3 letters.

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