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.
What is the age of the person who sits 2nd to the left of the person whose age is 26 years?
- A.
28 years
- B.
22 years
- C.
40 years
- D.
50 years
- E.
None of these
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Concept
In a linear seating-and-age puzzle, you fix positions first, then ages. Translate every clue into a precise relation: "facing North" means each person's left points West (lower seat numbers) and right points East (higher seat numbers); "X persons sit between" counts only occupied seats; "Nth to the left/right" counts seat steps. Lock the few rigid anchors (relative gaps, immediate neighbours, the no-adjacent-vacant rule), then let the age equations close the system.
Building the row (seats 1-11, West to East)
C sits 3rd to the left of A and A is to the left of seat 6, while D and E flank A as immediate neighbours. Placing this block low in the row gives C, then a gap, then D-A-E, fixing C at seat 1 and the D-A-E block at seats 3-4-5.
Three persons sit between A and B, and the 32-year-old sits immediately to B's left. Counting only occupied seats places B at seat 9 with the 32-year-old directly on B's West side.
One person sits between G and F, and H must sit immediately to the left of a vacant seat. With no two vacant seats adjacent, the only consistent placement leaves H at seat 6, G at seat 8 and F at seat 11, and the three vacant seats at 2, 7 and 10.
Final arrangement (West to East):
Seat | Who | 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 |
Fixing the ages
F is 40 and the person to B's immediate left is 32, so G (seat 8) is 32.
The sum of D's and G's ages is 82, so D = 82 - 32 = 50.
The 28-year-old and 26-year-old sit at odd seats; with D to the right of the 28-year-old and to the left of the 22-year-old, C (seat 1) = 28, A (seat 4) = 22 and E (seat 5) = 26.
Age of H is half the age of the seat-11 person (F = 40), so H = 20. B is as much older than H as younger than D, giving B = (50 + 20)/2 = 35.
Answering the question
The 26-year-old is E at seat 5. Two seats to the left (West) is seat 3, where D sits. D's age is 50, so the person 2nd to the left of the 26-year-old is 50 years old.
Cross-check
Re-reading the clues against the table: between A (seat 4) and B (seat 9) the occupied seats are E, H and G - exactly three persons; the 32-year-old G sits immediately West of B; D and E flank A; exactly one person (B) sits between G and F; and the vacant seats 2, 7 and 10 are never adjacent. Every age equation balances (D+G=82, 2B=D+H, H=F/2), so the seat-3 person being 50 is forced.