Question Details

Directions: Study the following information carefully and answer the questions given below.

Ten persons—V, W, X, Y, Z and A, B, C, D, E—are sitting in two parallel rows containing five persons each, in such a way that there is an equal distance between adjacent persons. In Row 1, V, W, X, Y, and Z are sitting and all of them are facing South. In Row 2, A, B, C, D, and E are sitting and all of them are facing North. Therefore, in the given seating arrangement, each member seated in a row faces another member of the other row.

A sits at the exact middle of Row 2. The person who faces A sits second to the left of Y. Only one person sits between Y and W. E faces W and sits second to the left of B. C sits to the immediate left of E. Z sits to the immediate left of V.

Which of the following statements is/are true?

I. E is the only neighbor of C
II. More than three persons sit to the right of E
III. No one sits to the left of C

Options

A

Both I and III

B

Only III

C

Both I and II

D

Only I

E

All I, II and III

Show Answer

Correct Answer :

Option A

Both I and III

Solution :

The correct answer is Both I and III.

Step-by-step Explanation:

1. Understanding the Layout:
- Row 1 (Facing South): V, W, X, Y, Z (Right is towards the left side of the viewer, and Left is towards the right side of the viewer).
- Row 2 (Facing North): A, B, C, D, E (Left and Right align with the viewer's left and right).

Let the 5 positions in each row from West (Left) to East (Right) be numbered 1, 2, 3, 4, and 5.

2. Determining Row 2 (Facing North):
- A sits at the exact middle of Row 2, so A is at Position 3.
- C sits to the immediate left of E, and E sits second to the left of B.
- Setting C at Position 1 puts E at Position 2 (since C is to the immediate left of E).
- From Position 4 (B), moving two positions to the left gives Position 2 (E), which satisfies "E sits second to the left of B".
- The remaining position (Position 5) is occupied by D.

Thus, Row 2 from Position 1 to 5 is: C - E - A - B - D

3. Determining Row 1 (Facing South):
- E (Position 2 of Row 2) faces W, so W is at Position 2 of Row 1.
- Only one person sits between Y and W, so Y is at Position 4 of Row 1.
- Person facing A (Position 3) is V, and Z sits to the immediate left of V.
- Thus, Row 1 from Position 1 to 5 is: X - W - V - Y - Z

4. Evaluating the Given Statements:
- Statement I: "E is the only neighbor of C"
Since C is at the extreme left end (Position 1 of Row 2), E at Position 2 is its only neighbor. (TRUE)
- Statement II: "More than three persons sit to the right of E"
E is at Position 2. The persons to the right of E are A, B, and D (exactly 3 persons). Since 3 is not more than 3, this statement is false. (FALSE)
- Statement III: "No one sits to the left of C"
Since C is at Position 1 (the extreme left end), there is no one sitting to its left. (TRUE)

Hence, statements I and III are correct.

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