Seven persons P, Q, R, S, A, B, and D are sitting one above the other on a ladder (not necessarily in the same order). B sits neither at the top nor at the bottom. Only four persons sit between P and R. S sits immediately above A. Only one person sits between R and D. D sits below S. B sits above Q.

Three of the following are similar in a certain way based on their seating arrangement and form a group. Which of the following does not belong to that group?

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  1. P A 
  2. D B
  3. S D
  4. B Q

Answer (Detailed Solution Below)

Option 2 : D B
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Detailed Solution

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Given: Seven persons P, Q, R, S, A, B, and D are sitting one above the other on a ladder (not necessarily in the same order).

Only four persons sit between P and R.

Case I

P
 
 
 
 
R
 

Case II

 
P
 
 
 
 
R

 Only one person sits between R and D.

Case I

P
 
 
D
 
R
 

Case II

 
P
 
 
D
 
R

S sits immediately above A.

D sits below S.

Case I

P
S
A
D
 
R
 

Case II

 
P
S
A
D
 
R

 B sits above Q. B sits neither at the top nor at the bottom.

So, case II not possible,

Case I

P
S
A
D
B
R
Q

From question 

Let's look at the pairs in the option:

PA: P and A are a gap of one in the sequence.

DB: D and B are adjacent in the sequence.

SD: S and D are a gap of one in the sequence.

BQ: B and Q are a gap of one in the sequence.

Hence the correct answer is "Option 2"

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