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.
In which of the following seat the person whose age is 26 years are sitting?
- A.
Seat number 3
- B.
Seat number 1
- C.
Seat number 5
- D.
Seat number 7
- E.
None of these
Attempted by 2 students.
Show answer & explanation
Correct answer: C
Concept
In a linear seating puzzle the reliable method is to fix the strongest positional anchors first (fixed gaps, 'Nth to the left/right', neighbour pairs) to lock the skeleton, then layer the conditional and age clues onto it. A clue that counts PERSONS between two people is independent of how many empty seats lie between them, so such distances are measured in people, not seats.
Building the arrangement
All face North, so for every person 'left' means a lower (West) seat number and 'right' a higher (East) seat number; seats run 1 (West) to 11 (East) with eight people in eight seats and three empty seats, no two of which touch.
'C sits 3rd to the left of A' needs seat(C) = seat(A) - 3, and 'D and E are the two immediate neighbours of A' needs both seat(A)-1 and seat(A)+1 occupied. With seat(A) below 6 the only value that leaves room for C three to the left AND two neighbours is seat(A) = 4 (seat(A) = 5 would force C to 2 and is later ruled out by the empty-seat and 'no empty between H and the 22-year-old' clues); this fixes C at 1, A at 4 and D, E at 3 and 5.
'Three persons (not seats) sit between A and B' pushes B well to the East; combined with 'one person sits between G and F' and 'the 32-year-old sits immediately left of B', the only eastern packing consistent with the empties is G, B, F with the 32-year-old (G) directly left of B.
'H sits immediately left of an empty seat' and 'no empty seat lies between H and the 22-year-old' pin H beside the 22-year-old's block; testing the non-adjacent empty patterns, only empties at 2, 7 and 10 keep H's empty seat on its right while leaving no empty seat between H and the 22-year-old.
Resolving these together gives one consistent line (the value in brackets is each person's age):
Seat | Person | Age |
|---|---|---|
1 | C | 28 |
2 | - | empty |
3 | D | 50 |
4 | A | 22 |
5 | E | 26 |
6 | H | 20 |
7 | - | empty |
8 | G | 32 |
9 | B | 35 |
10 | - | empty |
11 | F | 40 |
Fixing the ages
F is 40, and 'H is half the age of the person at seat 11', who is F, so H = 40 / 2 = 20.
'Sum of the ages of D and G is 82' with the 32-year-old being G gives D = 82 - 32 = 50.
'B is as much older than H as younger than D' means 2B = D + H = 50 + 20 = 70, so B = 35.
The 28-year-old sits to D's left and the 22-year-old to D's right, and both 26 and 28 occupy odd seats; this places 28 at seat 1 (C), 22 at seat 4 (A), and leaves the odd-seat age 26 at seat 5 (E).
Answer
The 26-year-old is E, who sits at seat number 5.
Cross-check
Seat 5 is odd (satisfying '26 sits at an odd seat'), it lies to the right of D at seat 3 next to the 22-year-old, and H at seat 6 has its empty seat on the right at 7 with no empty seat between H and the 22-year-old at seat 4 - every clue holds and no other line survives, so seat 5 is forced.