Question

Six girls named P, Q, R, S, T and U are sitting in a straight line. All are facing the north direction. U sits third to the left of R. S sits third to the right of Q. U sits second to the left of Q. T is not the immediate neighbour of U. What is P's position in the line?

• A. Third from the extreme right end
• B. Second from the extreme left end
• C. Third from the extreme left end
• D. At the extreme left end

Answer 1

Answer:

B. Second from the extreme left end

P's position in the line is second from the left end (or to the immediate right of U).

Let's number the 6 seats from 1 to 6 from left to right (all facing North means Left is left, Right is right):

1. Combine the positions of U, Q, and S:

   • "U sits second to the left of Q."

   • "S sits third to the right of Q."

   • This means the relative spacing is: U $\rightarrow$ _ $\rightarrow$ Q $\rightarrow$ _ $\rightarrow$ _ $\rightarrow$ S.

   • Since this chain spans exactly 6 spots, U must be in seat 1, Q in seat 3, and S in seat 6.

   • Arrangement: U (1) , _ (2) , Q (3) , _ (4) , _ (5) , S (6)

2. Place R:

   • "U sits third to the left of R."

   • Since U is at seat 1, R must be at seat 4 ($1 + 3 = 4$).

   • Arrangement: U (1) , _ (2) , Q (3) , R (4) , _ (5) , S (6)

3. Place T and P:

   • The remaining open spots are seat 2 and seat 5.

   • "T is not the immediate neighbour of U." Since seat 2 is right next to U, T cannot sit there. Therefore, T must be at seat 5.

   • This leaves P to occupy seat 2.

Final Left-to-Right Arrangement:

1. U

2. P

3. Q

4. R

5. T

6. S