Question Details

Read the given instructions carefully and answer the related questions:

A certain number of persons are sitting in a row facing north.

Three persons sit between A and B. C sits second to the right of B. D sits fifth to the left of C. Two persons sit between D and E. The number of persons sit between D and C is one more than the number of persons sit between D and F. No one sits to the left of F. The position of A with respect to F is same as the position of C with respect to G. As many persons sit to the left of F as to the right of C.

Who among the following sits third to the left of G?

Options

A

B

B

E

C

A

D

C

Show Answer

Correct Answer :

Option C

A

A

Solution :

The correct option/answer is A.

Let us solve the linear seating arrangement step-by-step based on the clues provided:
1. Determine the ends of the row:
The clue states, "No one sits to the left of F." This means F sits at the extreme left end of the row.
Another clue says, "As many persons sit to the left of F as to the right of C." Since there are 0 persons to the left of F, there must be 0 persons to the right of C. Hence, C sits at the extreme right end of the row.

2. Locate the positions of B and C:
"C sits second to the right of B." Since C is at the extreme right end, B must be two positions to the left of C. Let the positions from left to right be numbered starting from F at 1.

3. Locate D:
"D sits fifth to the left of C."
If C is at position N, then D is at position N-5.
The number of persons sitting between D and C is 4.

4. Determine the total number of persons and the position of D:
"The number of persons sit between D and C is one more than the number of persons sit between D and F."
Since there are 4 persons between D and C, the number of persons between D and F must be:

4-1=3

Since F is at position 1, and there are 3 persons between F and D, D must be at position 5 (the positions between them being 2, 3, and 4).
If D is at position 5, and D is fifth to the left of C, then C must be at position:

5+5=10

Thus, there are exactly 10 positions in the row:
[1: F, 2, 3, 4, 5: D, 6, 7, 8, 9, 10: C]
Since C is at 10, B (which is second to the left of C) is at position 8.

5. Locate E:
"Two persons sit between D and E."
D is at position 5. E can be at position 5-3=2 or 5+3=8. Since B is already at position 8, E must be at position 2.

6. Locate A:
"Three persons sit between A and B."
B is at position 8. A can be at position 8-4=4 or 8+4=12 (which is out of bounds since total seats = 10). Thus, A must be at position 4.

7. Locate G:
"The position of A with respect to F is same as the position of C with respect to G."
A (at 4) is third to the right of F (at 1). Therefore, C (at 10) must be third to the right of G, which puts G at position:

10-3=7


Let's summarize the final arrangement:
- Position 1: F
- Position 2: E
- Position 3: Vacant/Unknown
- Position 4: A
- Position 5: D
- Position 6: Vacant/Unknown
- Position 7: G
- Position 8: B
- Position 9: Vacant/Unknown
- Position 10: C

8. Answer the question:
We need to find who sits third to the left of G.
G is at position 7. Third to the left of G is position:

7-3=4

The person sitting at position 4 is A.

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