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Directions: Read the following instructions carefully and answer the related question:

A certain number of individuals are sitting in a straight row facing north.

Person A sits at the extreme left end of the row. Two persons sit between A and B. C sits third to the right of B. D sits third to the right of C. E sits third to the right of D. Exactly one person sits between E and F. F sits at the extreme right end of the row.

What is the total number of individuals sitting in the row?

Options

A

14

B

16

C

13

D

15

E

None of the given options

Show Answer

Correct Answer :

Option D

15

Solution :

The correct answer is 15.

Let us determine the positions of the individuals from left to right in the row facing north:

1. Position of A: Person A sits at the extreme left end of the row. Thus, A is at position 1.

2. Position of B: Two persons sit between A and B. Since A is at position 1, B is positioned at:
1+3=4
Thus, B is at position 4.

3. Position of C: C sits third to the right of B. Since B is at position 4, C is positioned at:
4+3=7
Thus, C is at position 7.

4. Position of D: D sits third to the right of C. Since C is at position 7, D is positioned at:
7+3=10
Thus, D is at position 10.

5. Position of E: E sits third to the right of D. Since D is at position 10, E is positioned at:
10+3=13
Thus, E is at position 13.

6. Position of F: Exactly one person sits between E and F, and F sits at the extreme right end of the row. Since F is to the right of E, F is positioned at:
13+2=15
Thus, F is at position 15.

Since F is at position 15 and sits at the extreme right end of the row, the total number of individuals sitting in the row is 15.

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