A circular field with inner radius of 10 meters and outer radius of 20 meters is divided into 5 successive stages for ploughing, The ploughing at each stage, with starting points P1, P2, P3, P4 and P5, was allotted to one of the five farmers F1, F2, F3, F4 and F5, not necessarily in that order. <br />F5 was allotted the stage starting at point P4.<br />The stage from P5 to P3 was not the first Stage.<br />F4 was allotted the work of the fourth stage.<br />Finishing point of stage 3 was P1 and the work was not allotted to F1.<br />F3 was allotted the work of the stage ending at point P5<br /> What is the starting point for stage 3?
Solving the arrangement: the 5 stages go around in a circle, so each stage ends where the next one starts. Let the starting points of stages 1 to 5 be \(s_1, \dots, s_5\).
| Stage | From → To | Farmer |
|---|---|---|
| 1 | P2 → P5 | F3 |
| 2 | P5 → P3 | F1 |
| 3 | P3 → P1 | F2 |
| 4 | P1 → P4 | F4 |
| 5 | P4 → P2 | F5 |
Stage 3 starts at P3.
Answer: (B) P3
Reinforce your conceptual grasp with related questions from MAH MCA CET 2015:
Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.
Start Free Mock Test Series →