Question Details

Directions (84-87) : Study the following information carefully and answer the questions given below:
A certain number of persons sit in a row facing north direction. Two persons sit between N and Q who is the only neighbour of B. W sits 5th to the left of L who sits immediately right of N. W sits exactly middle of the row. The number of persons sit between W and N is the same as the number of persons sit between W and T . Z sits 2nd to the right of H. Three person sits between T and H. O sits just left of A and just right of E who doesn’t sit adjacent to W.


How many persons sit in the row?

Options

A

15

B

21

C

19

D

17

E

Can’t be determined

Show Answer

Correct Answer :

Option D

17

Solution :

The correct answer is 17.


Step-by-step Explanation:


Let us analyze the given conditions step-by-step to determine the positions of all persons sitting in a single row facing north:


Step 1: Determine the positions around N, Q, and B.
1. "Q is the only neighbour of B." This means B must be at one of the extreme ends of the row, and Q sits immediately adjacent to B (toward the inside of the row).
2. "Two persons sit between N and Q."
So, starting from end B, the arrangement near that end is: B, Q, _, _, N.


Step 2: Position L and W relative to N.
1. "L sits immediately right of N."
Since N is placed, L is right next to N.
2. "W sits 5th to the left of L."
Counting 5 places to the left from L gives us the position of W.
Notice that N is 1st to the left of L, so W is 4 places to the left of N (meaning 3 persons sit between W and N).


Step 3: Determine the total length of the row using W.
1. "The number of persons sit between W and N is the same as the number of persons sit between W and T."
Since 3 persons sit between W and N, there must also be 3 persons sitting between W and T on the other side.
2. "W sits exactly middle of the row."
3. "Z sits 2nd to the right of H. Three person sits between T and H."
4. "O sits just left of A and just right of E who doesn’t sit adjacent to W."


Placing all the positions symmetrically around W as the exact center of the row gives a total seating capacity of 17 persons.


Let the 17 positions be numbered from 1 to 17 from left to right:

- Position 9 is W (middle of the row, with 8 persons on its left and 8 persons on its right).
- Position 13 is N (3 persons between W and N: 10, 11, 12).
- Position 14 is L (immediately right of N). W at position 9 is indeed 5th to the left of L (14 - 5 = 9).
- Position 17 is B (extreme right end), Position 16 is Q, leaving 2 persons (14, 15) between N and Q.
- Position 5 is T (3 persons between W and T: 6, 7, 8).
- Position 1 is H, so 3 persons (2, 3, 4) sit between T and H.
- Position 3 is Z (2nd to the right of H at 1).
- Positions 6, 7, 8 are E, O, A respectively (E is at 6, which is not adjacent to W at 9, O is just right of E and just left of A).


Thus, the complete arrangement from left to right is: H, _, Z, _, T, E, O, A, W, _, _, _, N, L, _, Q, B.


Therefore, total number of persons sitting in the row is 17.

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