Seven friends P, Q, R, S, T, U and V are sitting in a horizontal straight line, all facing towards the north. V is sitting exactly at the middle position. Only three friends are sitting between P and S. Only Q is sitting between S and T. T is sitting third to the right of V. Who is sitting at the extreme left end?
- AQ
- BT
- CS
- DP
Solution & Step-by-step Explanation
Let's designate the seven positions from Left (1) to Right (7):
"V is sitting exactly at the middle position" → V = 4.
"T is sitting third to the right of V". Third to the right of position 4 is 4+3=7. So, T = 7.
"Only Q is sitting between S and T". Since T is at 7, Q must be at 6 and S must be at 5. So, Q = 6 and S = 5.
"Only three friends are sitting between P and S". Since S is at position 5, moving left to find P: we skip slots 4, 3, 2. This places P at position 5−4=1. So, P = 1.
The complete arrangement starts with P at position 1.
Therefore, P is sitting at the extreme left end.
"V is sitting exactly at the middle position" → V = 4.
"T is sitting third to the right of V". Third to the right of position 4 is 4+3=7. So, T = 7.
"Only Q is sitting between S and T". Since T is at 7, Q must be at 6 and S must be at 5. So, Q = 6 and S = 5.
"Only three friends are sitting between P and S". Since S is at position 5, moving left to find P: we skip slots 4, 3, 2. This places P at position 5−4=1. So, P = 1.
The complete arrangement starts with P at position 1.
Therefore, P is sitting at the extreme left end.