Question

In a family of six people Anil, Pallavi, Naveen, Sumant, Priyanka, Harika are sitting in two rows in equal number facing each other-
Naveen and Priyanka are neighbours sitting facing North.
Harika is sitting diagonally opposite to Naveen.
Pallavi is sitting to the left of Harika.
Priyanka is sitting facing Anil.
Which of the following three persons are sitting in either of the two rows?

• A. Harika, Priyanka, Naveen
• B. Pallavi, Anil, Harika
• C. Pallavi, Naveen, Priyanka
• D. Harika, Suman, Pallavi

Hint:

For seating arrangement puzzles: \begin{itemize} \item \textbf{Visualize:} Draw a simple diagram (rows, circles) to represent the seating. \item \textbf{Establish Orientation:} Clearly define which direction each row/person is facing (e.g., North/South, Inward/Outward). \end{itemize}

Answer 1

The Correct Option is B

Step 1: Understand the setup.
There are 6 people (Anil, Pallavi, Naveen, Sumant, Priyanka, Harika) sitting in two rows with an equal number of people in each row. This means 3 people in Row 1 and 3 people in Row 2. They are facing each other. Let's assume Row 1 faces North and Row 2 faces South. Let the positions in each row be from left to right:
Row 1 (North Facing): [Pos 1N] [Pos 2N] [Pos 3N]
Row 2 (South Facing): [Pos 1S] [Pos 2S] [Pos 3S]
(Where Pos 1N faces Pos 1S, Pos 2N faces Pos 2S, and Pos 3N faces Pos 3S).
Step 2: Apply the given clues to deduce the seating arrangement.
Clue 1: Naveen and Priyanka are neighbours sitting facing North.
This means Naveen (N) and Priyanka (P) are in Row 1 and are adjacent. Possible pairs are (N, P) or (P, N).
Clue 4: Priyanka is sitting facing Anil.
This is a strong clue when combined with Clue 1. Priyanka (P) is in Row 1, and Anil (A) is in Row 2, directly opposite each other.
Let's consider Priyanka's possible positions:
If P is at Pos 1N, then A is at Pos 1S. From Clue 1, N must be at Pos 2N.
Row 1: [P] [N] [\_] Row 2: [A] [\_] [\_] Clue 2: Harika is sitting diagonally opposite to Naveen.
Naveen (N) is at Pos 2N. Diagonally opposite implies Harika (H) is at one of the end positions in Row 2 (Pos 1S or Pos 3S), but not directly opposite. Since Anil is at Pos 1S, Harika must be at Pos 3S.
So now:
Row 1: [P] [N] [\_]
Row 2: [A] [\_] [H]
Clue 3: Pallavi is sitting to the left of Harika.
Harika (H) is at Pos 3S (the rightmost position in Row 2), and she is facing South. Her left is towards her right from our perspective (towards Pos 2S).
So, Pallavi (Pa) must be at Pos 2S.
Now the arrangement is:
Row 1: [P] [N] [\_]
Row 2: [A] [Pa] [H]
Step 3: Complete the arrangement with the remaining person.
The people are Anil, Pallavi, Naveen, Sumant, Priyanka, Harika.
Row 1 has Priyanka and Naveen. The remaining person for Row 1 is Sumant.
He must be at Pos 3N.
Row 2 has Anil, Pallavi, Harika. All spots are filled.
The complete seating arrangement is:
Row 1 (North Facing): Priyanka (Pos 1N), Naveen (Pos 2N), Sumant (Pos 3N)
Row 2 (South Facing): Anil (Pos 1S), Pallavi (Pos 2S), Harika (Pos 3S)
Step 4: Verify all clues with the final arrangement.
1. Naveen and Priyanka are neighbours sitting facing North: Yes, Priyanka (1N) and Naveen (2N) are adjacent. (Verified)
2. Harika is sitting diagonally opposite to Naveen: Naveen (2N) and Harika (3S) are at opposite ends, which fits "diagonally opposite". (Verified)
3. Pallavi is sitting to the left of Harika: Harika (3S) faces South; her left is toward Pos 2S. Pallavi (2S) is indeed to her left. (Verified)
4. Priyanka is sitting facing Anil: Priyanka (1N) faces Anil (1S). (Verified)
All clues are consistent with this arrangement.
Step 5: Identify which option lists three persons in either of the two rows.
From our final arrangement:
Row 1: {Priyanka, Naveen, Sumant}
Row 2: {Anil, Pallavi, Harika}
Let's check the options:
(1) Harika, Priyanka, Naveen: Harika is in Row 2, Priyanka and Naveen are in Row 1. (Incorrect)
(2) Pallavi, Anil, Harika: All three (Pallavi, Anil, Harika) are in Row 2. (Correct)
(3) Pallavi, Naveen, Priyanka: Pallavi is in Row 2, Naveen and Priyanka are in Row 1. (Incorrect)
(4) Harika, Suman, Pallavi: Harika and Pallavi are in Row 2, Sumant is in Row 1. (Incorrect)
The final answer is $\boxed{\text{Pallavi, Anil, Harika}}$.