Read the given information carefully and answer the questions given below:
14 persons sit in two parallel rows containing seven persons in each row. A, B, C, D, E, F and G – sit in row 1 and face north while P, Q, R, S, T, U and V – sit in row 2 and face south. But not necessarily in the same order. Persons of row 1 face the persons of row 2.
Three persons sit between B and D. D sits at one of the ends. Two persons sit between Q and the one who faces B. One person sits between Q and T. U sits fourth to the right of S but does not sit opposite to D. One person sits between A and the one who faces S. G sits immediate right of C. P does not face C. Number of persons sit to the right of F and V are equal.
Which of the following statement is/are true?
I. P faces G
II. One person sits between F and E
III. R sits at one of the ends
Correct Answer :
Only II and III
Solution :
To determine the correct statements, let us reconstruct the seating arrangement step-by-step based on the given clues.
Step 1: Understand the Layout
Row 1 faces North (Left-to-Right is West-to-East): A, B, C, D, E, F, G
Row 2 faces South (Right-to-Left is West-to-East, meaning the right side of a person facing South is towards the West/Left in our view): P, Q, R, S, T, U, V
Let the positions be numbered 1 to 7 from Left to Right (West to East).
Step 2: Position B and D
- Three persons sit between B and D, and D sits at one of the ends.
- Let us assume D sits at the right end (Position 7) of Row 1. Thus, B must be at Position 3.
(If D sits at Position 1, it leads to a contradiction later in the puzzle configuration).
Step 3: Position Q and T in Row 2
- Two persons sit between Q and the one who faces B. Since B is at Position 3 in Row 1, the person facing B is at Position 3 in Row 2. Thus, Q must sit at Position 6.
- One person sits between Q and T. Since Q is at Position 6, T must be at Position 4.
Step 4: Position U and S in Row 2
- U sits fourth to the right of S. For a South-facing row, the "right" of a person is towards the lower-numbered positions (left in grid view). Thus, index(U) = index(S) - 4.
- Since Q is at 6 and T is at 4, the only valid option is for S to be at Position 7 and U to be at Position 3.
- U does not sit opposite to D (Position 7), which is satisfied as U is at Position 3.
Step 5: Position A in Row 1
- One person sits between A and the one who faces S. S is at Position 7 in Row 2, so the person facing S is at Position 7 in Row 1 (D).
- Therefore, A must be at Position 5 in Row 1.
Step 6: Position C and G in Row 1
- G sits to the immediate right of C. In Row 1 (facing North), "right" is the higher index. Thus, C and G must occupy adjacent positions where G is to the right of C.
- The available consecutive spots in Row 1 are Positions 1 and 2. Therefore, C is at Position 1 and G is at Position 2.
Step 7: Position F, E, V, P, and R
- The remaining spots in Row 1 are Position 4 and Position 6.
- The remaining spots in Row 2 are Position 1, Position 2, and Position 5.
- "Number of persons sitting to the right of F and V are equal."
For North-facing F: right of F is towards Position 7 (number of people = 7 - index(F)).
For South-facing V: right of V is towards Position 1 (number of people = index(V) - 1).
For these to be equal, we must have:
Since F must be at Position 4 or 6:
If F is at Position 6, then V is at Position 2. (This is valid as Position 2 in Row 2 is vacant).
- Thus, F is at Position 6, leaving E to be at Position 4 in Row 1.
- In Row 2, the remaining spots are Position 1 and Position 5 for P and R.
- P does not face C (who is at Position 1), so P must be at Position 5, leaving R at Position 1.
Final Seating Arrangement:
Row 2 (South-facing): R (1), V (2), U (3), T (4), P (5), Q (6), S (7)
Row 1 (North-facing): C (1), G (2), B (3), E (4), A (5), F (6), D (7)
Evaluating the Statements:
I. P faces G: False (P faces A).
II. One person sits between F (6) and E (4): True (A sits between them at 5).
III. R sits at one of the ends: True (R sits at the left end at Position 1).
Therefore, only statements II and III are true.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.