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 is the starting point for stage 3?

Choose the correct answer:

Explanation

1. Analyze the given constraints:

Constraint A: Finishing point of Stage 3 is $P1$ .
Constraint B: There is a stage from $P5$ to $P3$ .
Constraint C: $F3$ was allotted the work ending at $P5$ .
Constraint D: $F5$ was allotted the stage starting at $P4$ .

2. Linking the points:

From Constraint C, a stage ends at $P5$ .
From Constraint B, the next stage starts at $P5$ and goes to $P3$ .
If a stage goes from $P5 \rightarrow P3$ , then the stage immediately following it must start at $P3$ .
We know from Constraint A that Stage 3 ends at $P1$ .

If we look at the flow:

\text{Stage } X: \dots \rightarrow P5

\text{Stage } X+1: P5 \rightarrow P3

\text{Stage } X+2: P3 \rightarrow P1 \text{ (This is Stage 3 because it ends at } P1 \text{)}

3. Identifying the Stage 3 Start Point:

Since Stage 3 ends at $P1$ , and the stage immediately preceding it (Stage 2) ended at $P3$ (to follow the $P5 \rightarrow P3$ segment), the starting point for Stage 3 must be $P3$ .

4. Full sequence verification:

Stage 1: $P4 \rightarrow P5$ (Starts at $P4$ for $F5$ , ends at $P5$ for $F3$ )
Stage 2: $P5 \rightarrow P3$ (Successive segment)
Stage 3: $P3 \rightarrow P1$ (Ends at $P1$ )
Stage 4: $P1 \rightarrow P2$ (Starts at $P1$ )
Stage 5: $P2 \rightarrow P4$ (Completes the circle)

As shown in the sequence, Stage 3 starts at $P3$ and ends at $P1$ .

Answer:

The starting point for stage $3$ is $P3$ .

Correct Option: (b) $P3$