Direction : Study the following information carefully and answer the questions…
2019
Direction : Study the following information carefully and answer the questions given below:
Eleven seats are placed in a single row in which three seats are vacant. Persons sitting in these seats are facing North. No two vacant seats are placed adjacent to each other. Persons are of different ages. Seats are numbered 1 to 11 from West to East.
Note- Two Persons sitting between P and Q doesn’t means that there are only two seats are placed between them. There may be vacant seats between them.
Three persons sit between A and B. Person who is 32 years old sits immediate left of B. D and E are immediate neighbors of A whose seat number is less than 6. B is as many years older than H as younger than D. C sits 3rd to the left of A. One person sits between G and F who is 40 years old. Sum of the age of D and G is 82. H sits immediate left of one of the vacant seats. Age of H is half the age of the person who sits at seat number 11. Persons whose age are 26 and 28 years sit at odd numbered seats. D sits left of the person whose age is 22 years and right of the person whose age is 28 years. No vacant seat is between H and the person whose age is 22 years.
Who among the following sits at seat number 8?
- A.
No one
- B.
G
- C.
B
- D.
H
- E.
None of these
Show answer & explanation
Correct answer: B
Concept
In a linear seating puzzle, fix the most constrained person first, then convert each clue into an absolute seat or an age equation. Two counting rules govern this set: “persons between” counts only occupied seats (vacant seats are skipped), while “Nth to the left/right” counts seat positions. All eleven people face North, so for each person their left is toward seat 1 (West) and their right is toward seat 11 (East).
Placing the people
A has both neighbours occupied (D and E) and seat number below 6, and C sits 3rd to the left of A (C = A − 3). The only seat that lets C exist and leaves room for three occupied seats up to B is A = 4, giving C = 1.
Three persons sit between A and B with B to the right, so counting three occupied seats places B at seat 9; the person aged 32 sits immediately left of B, i.e. at seat 8.
H sits immediately left of a vacant seat, and “no vacant seat lies between H and the 22-year-old” while D lies between the 28-year-old (to its left) and the 22-year-old (to its right). Working these together forces H = 6 (with seat 7 vacant), D = 3, E = 5.
One person sits between G and F, and F is the 40-year-old; the only consistent fit puts G = 8 and F = 11, leaving seats 2, 7 and 10 vacant (no two adjacent).
Fixing the ages
Seat 8 holds the 32-year-old, so that person is 32.
Sum of D and G is 82, so D = 82 − 32 = 50.
H is half the age of seat 11 (the 40-year-old), so H = 20.
B is as much older than H as it is younger than D: B − 20 = 50 − B, so B = 35.
The 28-year-old sits to the left of D at an odd seat (seat 1) and the 26-year-old sits at an odd seat (seat 5); the 22-year-old sits to the right of D, giving the remaining persons their ages.
Final arrangement (seat → person → age)
Seat | Person | Age |
|---|---|---|
1 | C | 28 |
2 | vacant | — |
3 | D | 50 |
4 | A | 22 |
5 | E | 26 |
6 | H | 20 |
7 | vacant | — |
8 | G | 32 |
9 | B | 35 |
10 | vacant | — |
11 | F | 40 |
Cross-check
Every clue holds: persons between A and B = 3 (seats 5, 6, 8), one person between G and F (seat 9), H is immediately left of the vacant seat 7, B − H = 15 = D − B, and no vacant seat falls between H and the 22-year-old. The occupant of seat 8 is therefore the person who is 32 years old.