Question Details

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

Eight professionals—A, B, C, D, E, F, G, and H—are seated in a straight line facing North. Each of them holds a different position in a corporation, namely Director, Vice President, General Manager, Senior Analyst, Consultant, Associate, Specialist, and Executive.

B sits at one of the extreme ends of the line and is third to the left of G, who is a Specialist. Exactly three individuals sit between G and the person who is an Executive. D is adjacent to G and sits second to the right of A. A total of five persons sit between A and H, who is the General Manager. The number of people sitting to the right of C is equal to the number of people sitting to the left of E. C is not an Executive. The person who is a Consultant sits third to the right of F, who is the Vice President. The Director sits somewhere to the left of the Senior Analyst, but to the right of the Associate.

How many people sit between C and A?

Options

A

None of these

B

One

C

Two

D

Three

E

Four

Show Answer

Correct Answer :

Option A

None of these

Solution :

Correct Answer: None of these

Let us solve this linear arrangement step-by-step. There are 8 professionals—A, B, C, D, E, F, G, and H—seated in a straight line facing North. Let the positions be numbered 1 to 8 from Left to Right.

Step 1: Determine the positions of B, G, and the Executive
1. B sits at one of the extreme ends of the line.
2. B is third to the left of G, who is a Specialist. This means B must be to the left of G, so B sits at the extreme left end (Position 1).
3. Since B is at Position 1, G (Specialist) sits 3 positions to the right of B, which is Position 4.
4. Exactly three individuals sit between G (Position 4) and the person who is an Executive. The three positions to the right of G are 5, 6, and 7, which places the Executive at Position 8.

Current arrangement framework:
Position 1: B
Position 4: G (Specialist)
Position 8: Executive

Step 2: Determine the positions of D, A, and H
1. D is adjacent to G (Position 4), so D must be at Position 3 or Position 5.
2. D sits second to the right of A. If D were at Position 3, A would have to be at Position 1, but Position 1 is already occupied by B. Therefore, D must be at Position 5, which places A at Position 1 or 3.
3. A total of five persons sit between A and H (General Manager). In an 8-person line, for 5 persons to sit between two people, their position difference must be 6, which means they must occupy Position 1 and Position 7.
4. Thus, A is at Position 1, D is at Position 3 (second to the right of A), H (General Manager) is at Position 7, and B is at Position 8 (Executive).

Position summary so far:
Position 1: A
Position 3: D
Position 4: G (Specialist)
Position 7: H (General Manager)
Position 8: B (Executive)

Step 3: Place the remaining professionals (C, E, and F)
1. The remaining vacant positions are 2, 5, and 6.
2. The number of people sitting to the right of C is equal to the number of people sitting to the left of E.
3. With A at Position 1 and H at Position 7, placing C at Position 7 and E at Position 2 satisfies this condition (6 people sit to the right of C, and 6 people sit to the left of E).
4. Therefore, C is positioned at Position 7.

Step 4: Calculate the number of people between C and A
A is at Position 1 and C is at Position 7.
The number of people sitting between Position 1 and Position 7 is calculated as:

7-1-1=5

There are 5 people sitting between C and A (specifically at positions 2, 3, 4, 5, and 6).
Since 5 is not among the options "One", "Two", "Three", or "Four", the correct option is None of these.

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