Question Details

Study the following information carefully and answer the questions given below:
An uncertain number of persons sit in a linear row and face north.
Five persons sit between F and M. D sits third to the right of M. A sits four places away from D. More than four persons sit between A and F. K sits second to the right of A and third from one of the extreme ends of the row. Six persons sit between K and G. E sits fifth to the left of G. E sits fourth from one of the extreme ends of the row. As many persons sits to the left of E as to the right of H.


What is the position of G with respect to F?

Options

A

Eighth to the left

B

Seventh to the right

C

Seventh to the left

D

Eighth to the right

E

Ninth to the right

Show Answer

Correct Answer :

Option D

Eighth to the right

Solution :

To find the position of G with respect to F, we can systematically analyze the given clues step-by-step to construct the linear seating arrangement:

Step 1: Analyze the relationship between F, M, and D
- Five persons sit between F and M. This gives us two possible cases:
Case 1: F _ _ _ _ _ M
Case 2: M _ _ _ _ _ F
- D sits third to the right of M (M _ _ D):
Case 1: F _ _ _ _ _ M _ _ D
Case 2: M _ _ D _ _ F

Step 2: Analyze the position of A
- A sits four places away from D (which means there are 3 persons between A and D).
- More than four persons sit between A and F.
- In Case 1 (F _ _ _ _ _ M _ _ D):
If A is to the left of D, A would sit adjacent to M (F _ _ _ _ A M _ _ D), which leaves exactly four persons between A and F. Since the condition says "more than four", A must be to the right of D:
F _ _ _ _ _ M _ _ D _ _ _ A
- In Case 2 (M _ _ D _ _ F):
If A is to the right of D (M _ _ D _ _ A F), there are 0 persons between A and F, which is invalid. If A is to the left of D (A M _ _ D _ _ F), there are 5 persons between A and F, which is valid.

Step 3: Analyze the position of K
- K sits second to the right of A (A _ K).
- In Case 1: F _ _ _ _ _ M _ _ D _ _ _ A _ K
- In Case 2: A M K _ D _ _ F (where K sits third to the right of A, which contradicts "second to the right"). Thus, Case 2 is eliminated.

Step 4: Determine the ends and place G and E
- K sits third from one of the extreme ends of the row. Since K is far to the right, K must be third from the right end:
... A _ K _ _ (Right End)
- Six persons sit between K and G. Since K is near the right end, G must be to the left of K:
G _ _ _ _ _ _ K
Let us assign position coordinates starting with F at 1:
Position 1: F
Position 7: M (5 persons between F and M)
Position 10: D (D is third to the right of M)
Position 14: A (A is 4 places away from D)
Position 16: K (K is second to the right of A)
Since K (16) is third from the right end, the total number of positions is 18.
Since 6 persons sit between K (16) and G, G must be at position:
16-7=9
So, G is at position 9.
- E sits fifth to the left of G:
E is at position:
9-5=4
- E sits fourth from one of the extreme ends of the row. Since E is at position 4, this confirms that F (at position 1) is the left end of the row.

Step 5: Determine the final position of G with respect to F
- F is at position 1 (left end).
- G is at position 9.
- The position of G with respect to F is:
9-1=8
Thus, G sits eighth to the right of F.

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