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Eleven seats are placed in a single row, in which three seats are vacant. The persons sitting in these seats are facing north. No two vacant seats are adjacent to each other. The persons are of different ages. Seats are numbered 1 to 11 from west to east. Note: Two persons sitting between P and Q does not mean that there are only two seats between them; there may be vacant seats between them. Three persons sit between A and B. The person who is 32 years old sits immediately to the 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. The sum of the ages of D and G is 82. H sits immediately to the left of one of the vacant seats. The age of H is half the age of the person who sits at seat number 11. Persons whose ages are 26 and 28 years sit at odd-numbered seats. D sits to the left of the person whose age is 22 years and to the 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?
- 28 years
- 22 years
- 40 years
- 50 years
Correct answer: 40 years
Solution
Using the arrangement constraints, the person aged 26 is placed such that the second seat to the left corresponds to the person aged 40. The age relations among D, H, B, and the vacant-seat conditions help uniquely determine the layout. Hence, the required age is 40 years.
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