Five students P, Q, R, S and T are sitting on a bench. Q is to the left of P and right of T. S is at the extreme right end and R is to the left of S. Who is sitting third from the left?
- AP
- BQ
- CR
- DT
Solution & Step-by-step Explanation
Let us systematically determine the positions from left to right (1 to 5):
"S is at the extreme right end" → Position 5 is S.
_ , _ , _ , _ , S
"R is to the left of S" → Since S is at 5, R must be at Position 4.
_ , _ , _ , R , S
"Q is to the left of P and right of T" → This means the relative arrangement is T - Q - P.
Fitting this sequence into the remaining three positions (1, 2, and 3):
Position 1 = T
Position 2 = Q
Position 3 = P
The final linear arrangement from left to right is:
T, Q, P, R, S
Counting from the left:
1st from left: T
2nd from left: Q
3rd from left: P
Thus, P is sitting third from the left.
"S is at the extreme right end" → Position 5 is S.
_ , _ , _ , _ , S
"R is to the left of S" → Since S is at 5, R must be at Position 4.
_ , _ , _ , R , S
"Q is to the left of P and right of T" → This means the relative arrangement is T - Q - P.
Fitting this sequence into the remaining three positions (1, 2, and 3):
Position 1 = T
Position 2 = Q
Position 3 = P
The final linear arrangement from left to right is:
T, Q, P, R, S
Counting from the left:
1st from left: T
2nd from left: Q
3rd from left: P
Thus, P is sitting third from the left.