NIMCET 2015 — Reasoning PYQ

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Question

NIMCET 2015 — Reasoning PYQ

NIMCET | Reasoning | 2015

Directions : A circular field with inner radius of 10 m and outer radius of 20 m is divided into 5 successive stage for ploughing. The ploughing at each stage, with starting points P1, P2, P3, P4 and P5 was is allotted to one of the five farmers F1,F2,F3,F4 and F5 not necessarily in that order.
• F5 was alloted the stage starting a point P4.
• The stage from P5 to P3 was not the first stage.
• F4 was allotted the work of the fourth stage.
• Finishing point of stage 3 was P1 and the work was not allotted to F1.
• F3 was allotted the work of stage ending at P5.
What are the starting and ending points of the field ploughed by F4?

Choose the correct answer:

Explanation

1. Identifying Key Constraints:

Stage 3 ends at $P1$ . This implies Stage 4 must start at $P1$ .
$F4$ was allotted Stage 4. Therefore, $F4$ starts at $P1$ .
This immediately narrows our options to (a) or (b).

2. Determining the Point Sequence:

We have the points $P1, P2, P3, P4,$ and $P5$ . Let's look at the remaining clues to find the connections:

There is a stage from $P5$ to $P3$ .
$F3$ ends at $P5$ . This means the stage following $F3$ starts at $P5$ .
$F5$ starts at $P4$ .

If we connect these logically in a circular flow:

\dots \rightarrow P4 \rightarrow P5 \rightarrow P3 \rightarrow P1 \rightarrow P2 \rightarrow P4 \rightarrow \dots

3. Matching Stages to the Sequence:

If Stage 3 ends at $P1$ , then according to the flow above, Stage $3$ must be $P3 \rightarrow P1$ .
If Stage $3$ is $P3 \rightarrow P1$ , then Stage 4 (the next stage) must be $P1 \rightarrow P2$ .
Since $F4$ is assigned to Stage $4$ , $F4$ starts at $P1$ and ends at $P2$ .

4. Verification:

Stage 5: $P2 \rightarrow P4$
Stage 1: $P4 \rightarrow P5$ (Starts at $P4$ , which matches the clue for $F5$ ).
Stage 2: $P5 \rightarrow P3$ (Matches the clue "Stage from $P5$ to $P3$ was not the first stage").

This confirms the sequence is consistent with all the rules provided in the directions.

Answer:

The starting point for $F4$ is $P1$ and the ending point is $P2$ .

Correct Option: (a) $P1$ and $P2$