Comprehension

Direction: There are six steps on. a staircase leading from the ground floor to the first floor. Denote the first step by 1, second by 2, and so on. There are four people P, Q, R and S. No two people can be on the same step.

I. P is two steps below R.

II. Q is on the next step to S.

III. R is two steps below S.

If T was on the third step, which of the following pairs is incorrect?

This question was previously asked in
KVS TGT WET (Work Experience Teacher) 8 Jan 2017 Official Paper
View all KVS TGT Papers >
  1. Q-fifth step
  2. R-fourth step
  3. Q-fourth step
  4. S-sixth step

Answer (Detailed Solution Below)

Option 3 : Q-fourth step
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Detailed Solution

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As per the given question,

There are six steps on. a staircase leading from the ground floor to the first floor. Denote the first step by 1, second by 2, and so on. There are four people P, Q, R and S. No two people can be on the same step.

  • P is two steps below R.

So, P can be on ground floor as there is nothing mention about P's step.

  • R is two steps below S.

​There are three possibilities:

Steps People  
Case I Case II Case III
First floor      
6 S    
5   S  
4 R   S
3   R  
2 P   R
1   P  
Ground Floor     P
  • Q is on the next step to S.
Steps People  
Case I Case II Case III
First Floor Q    
6 S Q  
5   S Q
4 R   S
3   R  
2 P   R
1   P  
Ground Floor     P

Clearly, T's position on third place is possible in case I and III then according to the given options;

option 1) Q - fifth step - True in case III

Option 2) R - 4th step - True in case I

Option 3) Q - fourth step - False in both the cases

Option 4) S - sixth step - True in case I

Hence, the correct answer is "Q-fourth step".

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