Direction : Study the following information carefully and answer the questions…

2019

Direction : Study the following information carefully and answer the questions given below:

Seven persons i.e. P, Q, R, S, T, U, V of different ages i.e. 6, 15, 19, 23, 30, 45, 60 years are sitting in a circular table facing towards center.
Note- No two consecutive letters are in alphabetical order. Person’s age must not be a factor or a multiple of sum of the ages of their immediate neighbors.
R sits immediate right of the person whose age is 15. One person sits between T and R (either left or right). One person sits between P and the person whose age is 6 (either left or right). Age of T is twice the age of the person who sits 2nd to the right of T. Difference between the age of the immediate neighbors of V is more than 14. Age of U must not be multiple of 10. Sum of the ages of immediate neighbors of R is 34. Q is younger than P.

What is the age of Q?

  1. A.

    15

  2. B.

    60

  3. C.

    23

  4. D.

    6

  5. E.

    None of these

Show answer & explanation

Correct answer: D

Concept

In a circular-seating puzzle that mixes positions with numeric attributes (here, ages), the reliable method is: first fix the numeric anchors that a clue forces uniquely, then use the positional clues to seat people, and finally apply the numeric filters (here, the neighbour-sum and the factor/multiple rule) to prune the remaining possibilities. Anchors first, positions next, filters last.

Application

  1. Neighbour-sum anchor: the sum of R's two immediate neighbours' ages is 34. Among {6, 15, 19, 23, 30, 45, 60}, the only pair adding to 34 is 15 + 19, so R is flanked by the persons aged 15 and 19.

  2. Direction anchor: R sits immediately to the right of the person aged 15, which places the age-15 person on one side of R and the age-19 person on the other.

  3. Doubling anchor: T's age is twice the age of the person seated 2nd to T's right. The only such pair in the set is 60 = 2 × 30, so T is aged 60 and the person two seats to T's right is aged 30.

  4. Spread filter: the difference between the ages of V's two immediate neighbours exceeds 14, so V must sit between a low and a high age.

  5. Parity filter: U's age is not a multiple of 10, ruling 30 and 60 out for U.

  6. Position links: exactly one person sits between T and R, and exactly one person sits between P and the person aged 6; combined with the no-two-consecutive-alphabet-letters-adjacent rule (P-Q, Q-R, R-S, S-T, T-U, U-V never sit side by side), the seats lock into one unique circle; reading the persons in order around the table, the ages settle as P=23, S=30, Q=6, U=15, R=45, V=19, T=60 (the same arrangement holds whether the table is read clockwise or anticlockwise, since the puzzle is symmetric about that choice).

  7. Numeric closure: every person's age is neither a factor nor a multiple of the sum of their two neighbours' ages, and the final comparison “Q is younger than P” (with P aged 23) is satisfied, confirming the unique arrangement.

Cross-check

Independent verification of the locked circle: R's neighbours are 15 and 19 (sum 34 ✓); T = 60 = 2 × 30, where 30 sits two seats to T's right (✓); V's neighbours are 45 and 60 (difference 15 > 14 ✓); U is 15, not a multiple of 10 (✓); and no two alphabetically consecutive letters are adjacent (✓). All constraints hold, so the age asked for is determined uniquely.

Result

Reading Q's age from the locked arrangement gives 6 years.

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