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.
How many persons sit between C and E?
Two
Five
Four
Three
Six
The correct answer is Five.
Step-by-Step Explanation:
Let us determine the positions of the individuals in the row from left to right (facing North):
1. Position of A: Person A sits at the extreme left end of the row.
Position 1: A
2. Position of B: Two persons sit between A and B.
Since A is at position 1, B is placed at position 1 + 2 + 1 = 4.
Partial Arrangement: A, _, _, B
3. Position of C: C sits third to the right of B.
Position of C = 4 + 3 = 7.
Partial Arrangement: A, _, _, B, _, _, C
4. Position of D: D sits third to the right of C.
Position of D = 7 + 3 = 10.
Partial Arrangement: A, _, _, B, _, _, C, _, _, D
5. Position of E: E sits third to the right of D.
Position of E = 10 + 3 = 13.
Partial Arrangement: A, _, _, B, _, _, C, _, _, D, _, _, E
6. Calculating persons between C and E:
C is at position 7 and E is at position 13.
The individuals between C and E occupy positions 8, 9, 10 (which is D), 11, and 12.
Total persons between C and E = 13 - 7 - 1 = 5.
Thus, exactly Five persons sit between C and E.
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