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Question

Vishal, Tanmay, Zain, Yashi, Rishi and Manish are sitting in a circle facing the centre. Rishi is opposite Manish, Yashi is to the left of Vishal who is opposite Tanmay. Who is to the left of Zain, if Manish is between Zain and Vishal?

The correct answer is

Manish

Understanding the Circle Seating Arrangement

This question involves a logic puzzle about six people (Vishal, Tanmay, Zain, Yashi, Rishi, and Manish) sitting in a circle, all facing the centre. We are given several clues about their relative positions, and we need to use these clues to determine the seating arrangement and answer the final question.

Analyzing the Clues

Let's break down the information given:

  • There are 6 people sitting in a circle facing the centre.
  • Clue 1: Rishi is opposite Manish.
  • Clue 2: Yashi is to the left of Vishal.
  • Clue 3: Vishal is opposite Tanmay.
  • Clue 4: Manish is between Zain and Vishal.

In a circle arrangement facing the centre, "left" typically means the position immediately clockwise to a person, and "right" is the position immediately anti-clockwise. People sitting opposite each other in a circle of 6 are 3 positions apart.

Deducing the Seating Arrangement

Let's use the clues to build the arrangement step-by-step.

Step 1: Using Clues 2 and 3 (Yashi, Vishal, Tanmay)

Clue 2 tells us Yashi is to the left of Vishal. If we move clockwise from Vishal, the first person is Yashi.

Clue 3 tells us Vishal is opposite Tanmay. In a circle of 6, the person opposite is 3 positions away (clockwise or anti-clockwise).

Let's place Vishal in a seat. Moving clockwise (left), the next seat is Yashi's. The seat opposite Vishal (3 seats away clockwise or anti-clockwise) is Tanmay's.

Conceptual sequence clockwise: ... > Vishal > Yashi > ... > Tanmay > ... (Tanmay is 3 seats after Vishal).

Step 2: Using Clue 4 (Manish, Zain, Vishal)

Clue 4 states Manish is between Zain and Vishal. This means Manish is a neighbour to both Zain and Vishal.

From Step 1, we know Yashi is the person to Vishal's left (clockwise neighbour). Therefore, Manish must be the person to Vishal's right (anti-clockwise neighbour).

Conceptual sequence clockwise: ... > Manish > Vishal > Yashi > ...

Since Manish is between Zain and Vishal, and we've placed Vishal as one neighbour of Manish, the other neighbour of Manish must be Zain. So, the sequence continues from Manish.

Conceptual sequence clockwise: ... > Manish > Zain > ... (Zain is the person to Manish's left / clockwise neighbour).

Combining our sequences based on shared people:

We have ... > Manish > Vishal > Yashi > ... and ... > Manish > Zain > ... (clockwise).

This means the sequence around the circle clockwise must be ... > Zain > Manish > Vishal > Yashi > ...

Step 3: Placing Remaining People Using Opposite Clues

We have identified a partial clockwise sequence of four people: Zain, Manish, Vishal, Yashi. Let's place these in seats 1 through 4 in a 6-seat circle, maintaining the clockwise order.

  • Seat 1: Zain
  • Seat 2: Manish
  • Seat 3: Vishal
  • Seat 4: Yashi
  • Seat 5: ?
  • Seat 6: ?

Now let's use the opposite clues:

  • Clue 3: Vishal is opposite Tanmay. Vishal is in Seat 3. The seat opposite Seat 3 in a 6-person circle is Seat 3 + 3 = Seat 6. So, Tanmay is in Seat 6.
  • Clue 1: Rishi is opposite Manish. Manish is in Seat 2. The seat opposite Seat 2 is Seat 2 + 3 = Seat 5. So, Rishi is in Seat 5.

Filling in the seats:

  • Seat 1: Zain
  • Seat 2: Manish
  • Seat 3: Vishal
  • Seat 4: Yashi
  • Seat 5: Rishi (Opposite Manish)
  • Seat 6: Tanmay (Opposite Vishal)

The clockwise seating arrangement is: Zain, Manish, Vishal, Yashi, Rishi, Tanmay.

Step 4: Verifying the Arrangement

Let's check all original clues against this arrangement:

  • Rishi is opposite Manish: Rishi (Seat 5) is opposite Manish (Seat 2). Correct.
  • Yashi is to the left of Vishal: Yashi (Seat 4) is clockwise from Vishal (Seat 3). Correct.
  • Vishal is opposite Tanmay: Vishal (Seat 3) is opposite Tanmay (Seat 6). Correct.
  • Manish is between Zain and Vishal: Manish (Seat 2) has Zain (Seat 1) and Vishal (Seat 3) as neighbours. Correct.

The arrangement is consistent with all the given information.

Answering the Question: Who is to the left of Zain?

The question asks who is sitting to the left of Zain.

In our confirmed clockwise arrangement (Zain, Manish, Vishal, Yashi, Rishi, Tanmay):

  • Zain is in Seat 1.
  • The person to the left of Zain (clockwise) is in Seat 2.
  • Seat 2 is occupied by Manish.

Therefore, Manish is to the left of Zain.

Revision Table: Key Information

Person Opposite Left Neighbour (Clockwise) Right Neighbour (Anti-clockwise)
Zain Yashi Manish Tanmay
Manish Rishi Vishal Zain
Vishal Tanmay Yashi Manish
Yashi Zain Rishi Vishal
Rishi Manish Tanmay Yashi
Tanmay Vishal Zain Rishi

Additional Information on Seating Puzzles

Seating arrangement puzzles are common in logic and reasoning sections of exams. They require careful reading and step-by-step deduction.

  • Types: Puzzles can involve linear arrangements (row), circular arrangements, square/rectangular arrangements, or even combinations.
  • Facing Direction: Pay close attention to whether people are facing the centre, away from the centre, or in different directions. This affects the interpretation of "left" and "right".
  • Relative vs. Absolute Positions: Some clues give relative positions (A is left of B), while others might fix a person's position if a diagram is provided.
  • 'Between': In linear arrangements, "A is between B and C" means the order is B-A-C or C-A-B. In circular arrangements, it means A is a neighbour to both B and C.
  • Opposite: In a circle, opposite positions depend on the total number of seats. For 6 people, opposite seats are 3 positions apart. For 8 people, they are 4 positions apart.

Drawing a diagram is often the most helpful way to solve these puzzles, allowing you to visually place people as you deduce their positions based on the clues.

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Important Questions from Circular Arrangement

  1. Eight students A, B, C, D, E, F, G and Hsit around a circular table, equidistant from each other, facing the centre of the table, not necessarily in the same order. Band Dsit neither adjacent to Cnor opposite to C. Asits in between Eand D, and Fsits in between Band H. Which one of the following is definitely correct?

  2. Six persons A, B, C, D, E and Fare sitting equidistant from each other around a circular table (facing the centre of the table).

    Consider the Question and two Statements given below :

    Question : Who is sitting on the immediate left of A?

    Statement-1 : Bis sitting opposite to Cand Dis sitting  opposite to E.

    Statement-2 : Fis sitting on the immediate left of B.

    Which one of the following is correct in respect of the Question and the Statements?

  3. Seven persons P, Q, R, S, T, U and V are sitting around a circular table facing the center (not necessarily in the same order). T sits third to the right of R. V sits third to the right of Q. One person sits between P and T. P is not the neighbor of S. U sits third to the left of P. Who sits second to the left of S?

  4. Akash, Binita, Chandan, Daksh, Ekta & Fatima are standing in a circle. Binita is between Daksh & Chandan. Akash is between Ekta & Chandan. Fatima is to the right of Daksh. Who is between Akash & Fatima?

  5. Six friends A, B, C, D, E and F are sitting around a round table in such a way that A is between E and F, E is opposite to D, and C is not on either side of E. The person opposite to D is

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