Question

P, Q, R, S and T are standing in a row of \(33\) boys and all are facing North. S is \(15^{th}\) from the right end. P is to the right of Q and third to the left of R. S is to the right of T. What is the position of Q from the left end?

• A. \(12^{th}\)
• B. \(16^{th}\)
• C. \(18^{th}\)
• D. \(20^{th}\)

Hint:

To convert right-end position into left-end position, use total \(+1-\) right position.

Answer 1

The Correct Option is B

There are total: \[ 33 \] boys in the row. All are facing North. S is \(15^{th}\) from the right end. To convert position from right end to position from left end, use: \[ \text{Position from left}=\text{Total}+1-\text{Position from right}. \] So: \[ \text{Position of S from left}=33+1-15. \] \[ =34-15. \] \[ =19. \] Thus, \(S\) is \(19^{th}\) from the left end. Since all are facing North, right side means East side in the row. Given: \[ S \text{ is to the right of } T. \] So \(T\) comes just before \(S\) in the arrangement used here. Now: \[ P \text{ is to the right of } Q \] and: \[ P \text{ is third to the left of } R. \] This gives the internal order: \[ Q,\ P,\ T,\ S,\ R. \] Since \(S\) is at position \(19\), the positions become: \[ Q=16,\quad P=17,\quad T=18,\quad S=19,\quad R=20. \] Therefore, the position of \(Q\) from the left end is: \[ 16^{th}. \]