Directions: Read the following information carefully and answer the questions given below.
Six persons A, B, C, D, E and F sit around a circular table facing towards the centre, with equal distance between adjacent persons. Each of them is of a different age. The sum of the ages of the persons sitting opposite to each other is 40 years. None of them is less than 15 years old and greater than 25 years old.
E's age is 24 years. F sits opposite to the person who is 21 years old. B, who is the youngest person, sits immediately to the left of D. A sits second to the right of F. D is 4 years older than A.
The person who is 19 years old sits second to the right of which of the following persons?
Correct Answer :
B
Solution :
The correct answer is B.
Step 1: Determine the ages of all six persons
Let us analyze the given conditions regarding the ages of the persons:
1. All six persons (A, B, C, D, E, F) have different ages ranging strictly between 15 and 25 years old.
2. The sum of the ages of any two persons sitting opposite to each other is equal to 40 years.
3. E's age is given as 24 years.
Therefore, the age of the person sitting opposite to E is:
4. F sits opposite to the person who is 21 years old. Therefore, F's age is:
5. D is 4 years older than A, which gives:
Since D and A sit opposite each other, the sum of their ages is 40:
Adding these two equations together:
Substituting the age of D to find A's age:
6. B is the youngest person in the group. Comparing the remaining ages, B must be 16 years old (sitting opposite E, who is 24 years old).
7. The remaining person, C, is 21 years old (sitting opposite F, who is 19 years old).
Summary of Ages:
• B = 16 years old
• A = 18 years old
• F = 19 years old
• C = 21 years old
• D = 22 years old
• E = 24 years old
Step 2: Determine the circular seating arrangement
Let 6 positions around the circular table be numbered 1 to 6 in clockwise order, with everyone facing towards the centre (Clockwise direction = Left, Counter-clockwise direction = Right):
• Place F (19 years old) at Position 1.
• Since F sits opposite to C (21 years old), C is at Position 4.
• A sits second to the right of F. Moving counter-clockwise from Position 1, A is placed at Position 5.
• Since D sits opposite to A (Position 5), D is placed at Position 2.
• B sits immediately to the left of D. Moving clockwise from Position 2, B is placed at Position 3.
• The remaining seat, Position 6, is occupied by E.
Seating arrangement around the circle (Clockwise order):
• Position 1: F (19 years old)
• Position 2: D (22 years old)
• Position 3: B (16 years old)
• Position 4: C (21 years old)
• Position 5: A (18 years old)
• Position 6: E (24 years old)
Step 3: Answer the question
The person who is 19 years old is F (at Position 1).
From Position 3 (B), moving second to the right (counter-clockwise):
1st to the right of B is Position 2 (D).
2nd to the right of B is Position 1 (F, who is 19 years old).
Therefore, the person who is 19 years old sits second to the right of B.
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