Question Details

O, P, Q, R, W, X and Y are sitting in a straight line, facing north. Only two people sit to the left of P. Only three people sit between P and W. Only one person sits between W and X. R sits to the immediate left of O. Y is not an immediate neighbour of W.
How many people sit to the right of Q?

Options

A

Three

B

Four

C

One

D

Two

Show Answer

Correct Answer :

Option C

One

Solution :

Correct Option/Answer: One


Let's step through the logical placement of the 7 people (O, P, Q, R, W, X, and Y) sitting in a straight line facing north.


We represent the 7 positions from left to right as positions 1 to 7:

[ 1 , 2 , 3 , 4 , 5 , 6 , 7 ]


Step 1: Place P
"Only two people sit to the left of P."
This means P must be in position 3.
Arrangement so far: [ _ , _ , P , _ , _ , _ , _ ]


Step 2: Place W
"Only three people sit between P and W."
Counting three positions to the right of P (positions 4, 5, and 6), W must be placed in position 7.
Arrangement so far: [ _ , _ , P , _ , _ , W ]


Step 3: Place X
"Only one person sits between W and X."
Since W is at position 7, X must be placed in position 5.
Arrangement so far: [ _ , _ , P , _ , X , _ , W ]


Step 4: Place R and O
"R sits to the immediate left of O."
This requires two adjacent empty spots (R followed by O). Looking at our arrangement, positions 1 and 2 are the only two adjacent empty spots left.
So, R goes to position 1 and O goes to position 2.
Arrangement so far: [ R , O , P , _ , X , _ , W ]


Step 5: Place Y and Q
"Y is not an immediate neighbour of W."
The remaining empty positions are position 4 and position 6. Position 6 is immediately adjacent to W (at position 7), so Y cannot be at position 6. Therefore, Y must be in position 4, and Q must be in position 6.
Final arrangement from left to right: [ R , O , P , Y , X , Q , W ]


Step 6: Answer the question
"How many people sit to the right of Q?"
Looking at the final arrangement [ R , O , P , Y , X , Q , W ], only W sits to the right of Q. Thus, exactly One person sits to the right of Q.

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