Seven people B, C, D, I, J, K and L are sitting in a straight line facing north. Only two people sit to the right of C. Only two people sit between C and B. Only two people sit between D and K. Only three people sits between C and D. J sits to the immediate right of I. How many people sit(s) to the right of L?
Correct Answer :
Four
Solution :
Correct Answer: Four
Let us solve this linear arrangement step-by-step.
We have 7 positions in a row, numbered 1 to 7 from left to right, all facing North:
[Pos 1] [Pos 2] [Pos 3] [Pos 4] [Pos 5] [Pos 6] [Pos 7]
Step 1: Position of C
"Only two people sit to the right of C."
This places C at position 5.
Arrangement: _ _ _ _ C _ _
Step 2: Position of B
"Only two people sit between C and B."
Since C is at position 5, moving 2 places to the left puts B at position 2.
Arrangement: _ B _ _ C _ _
Step 3: Position of D
"Only three people sit between C and D."
With C at position 5, moving 3 places to the left puts D at position 1.
Arrangement: D B _ _ C _ _
Step 4: Position of K
"Only two people sit between D and K."
Since D is at position 1, placing two people between D and K means K must be at position 4.
Arrangement: D B _ K C _ _
Step 5: Position of I and J
"J sits to the immediate right of I."
The remaining available adjacent seats are positions 6 and 7.
So, I is at position 6, and J is at position 7.
Arrangement: D B _ K C I J
Step 6: Position of L
The only remaining vacant position is position 3, which must be occupied by L.
Final Seating Arrangement:
Position 1: D
Position 2: B
Position 3: L
Position 4: K
Position 5: C
Position 6: I
Position 7: J
Conclusion:
L is at position 3. The people sitting to the right of L are K, C, I, and J (positions 4, 5, 6, and 7).
Therefore, exactly four people sit to the right of L.
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