Read the details provided below carefully and answer the following question.
A certain number of persons sit in a row facing north. E is the only neighbor of Q. Five persons sit between E and T. K sits immediately to the right of T. B sits second to the right of K. Two persons sit between K and Y. The number of persons sitting between E and H is twice the number of persons sitting between B and Y. The number of persons sitting to the right of Y is four less than the number of persons sitting to the left of Y. More than twelve persons sit in the row.
Who among the following sits 3rd to the right of K?
Correct Answer :
Unknown person
Solution :
The correct answer is Unknown person.
Step-by-step Explanation:
Let us analyze the given clues step-by-step to determine the seating arrangement of persons facing North:
1. Positions of Q and E:
"E is the only neighbor of Q." This indicates that Q sits at an extreme end of the row. Considering Q at the extreme right end, E must be placed immediately to the left of Q.
2. Positions of T, K, and B:
- "Five persons sit between E and T." Placing T to the left of E with 5 persons in between.
- "K sits immediately to the right of T." Thus, K is right next to T.
- "B sits second to the right of K." This places B two positions to the right of K, leaving one person between K and B.
3. Positions of Y and H:
- "Two persons sit between K and Y." Placing Y to the left of K with 2 persons between them.
- Counting the persons between B and Y gives 4 persons.
- "The number of persons sitting between E and H is twice the number of persons sitting between B and Y." Since 2 × 4 = 8, there are 8 persons sitting between E and H, placing H to the left of Y.
4. Total number of persons in the row:
- "The number of persons sitting to the right of Y is four less than the number of persons sitting to the left of Y."
- There are 9 persons sitting to the right of Y. Hence, the number of persons sitting to the left of Y is 9 + 4 = 13 persons.
- Total number of persons in the row = 13 (left of Y) + 1 (Y) + 9 (right of Y) = 23 persons (which satisfies "More than twelve persons sit in the row").
Detailed Position Mapping (Positions 1 to 23 from Left to Right):
- Positions 1 to 12: Unnamed persons
- Position 13: H
- Position 14: Y
- Position 15: Unknown person
- Position 16: T
- Position 17: K
- Position 18: Unknown person
- Position 19: B
- Position 20: Unknown person
- Position 21: Unknown person
- Position 22: E
- Position 23: Q
Finding the 3rd person to the right of K:
- K is at Position 17.
- 1st to the right of K is Position 18 (Unknown person).
- 2nd to the right of K is Position 19 (B).
- 3rd to the right of K is Position 20 (Unknown person).
Thus, an Unknown person sits 3rd to the right of K.
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