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.
Which of the following is the finish point for farmer F2?

Choose the correct answer:

Explanation

1. Points ka sequence nikalna:

Puzzle me diya hai ki field circular hai aur stages "successive" hain. Iska matlab ek stage jahan khatam hoga ( $Finish Point$ ), agla stage wahan se shuru hoga ( $Starting Point$ ).

Clue ke mutabik, Stage 3 ka finish point $P1$ hai. Iska matlab Stage 4 $P1$ se shuru hogi.
$F4$ ko Stage 4 allot ki gayi hai.
$F5$ us stage par hai jo $P4$ se shuru hoti hai.
$F3$ us stage par hai jo $P5$ par khatam hoti hai.
Ek stage $P5$ se $P3$ tak hai. Agar ye stage $P5$ se shuru ho rahi hai, toh isse pehle wali stage $P5$ par khatam hui hogi (jo ki $F3$ ki stage hai).

2. Link jodna:

Agar hum points ko circular order me lagayein:

$F3$ ki stage $P5$ par khatam hui $\rightarrow$ Agali stage $P5$ se shuru hui ( $P5$ to $P3$ ).
$P5$ to $P3$ wali stage $P3$ par khatam hui $\rightarrow$ Agali stage $P3$ se shuru hui.
Humein pata hai Stage 3, $P1$ par khatam hoti hai. Toh sequence kuch aisa banega:

$P4 \rightarrow P5 \rightarrow P3 \rightarrow P1 \rightarrow P2 \rightarrow P4$

3. Stages aur Farmers ko set karna:

Stage 1: $P2$ se $P4$ (Kyunki $P5-P3$ pehli stage nahi hai).
Stage 2: $P4$ se $P5$ . $F5$ yahan aayega kyunki wo $P4$ se shuru karta hai.
Stage 3: $P5$ se $P1$ . $F3$ yahan nahi ho sakta kyunki $F3$ ki stage $P5$ par khatam hoti hai. Toh $F3$ Stage 1 me hoga ( $P2$ to $P4$ nahi, sequence check karein).

Re-evaluating based on clues:

$F3$ ends at $P5$ . Toh $F3$ ki stage $P4 \rightarrow P5$ honi chahiye.
$F5$ starts at $P4$ . Iska matlab $F3$ aur $F5$ ek hi stage ( $P4$ to $P5$ ) par kaam kar rahe hain? Nahi, iska matlab hai ki points ka flow aisa hai ki $F5$ jis point ( $P4$ ) se shuru karta hai, wahan koi khatam bhi kar raha hoga.

Sahi sequence points ka ye nikalta hai:

Stage 1: $P3 \rightarrow P4$ ( $F1$ ya $F2$ )

Stage 2: $P4 \rightarrow P5$ (Farmer F5 starts at $P4$ , ends at $P5$ . Farmer F3 ends at $P5$ - match ho gaya!)

Stage 3: $P5$ to $P1$ (Farmer F2; kyunki $F1$ mana kiya gaya hai).

Stage 4: $P1$ to $P2$ (Farmer F4).

Stage 5: $P2$ to $P3$ (Bacha hua farmer aur point).

Yahan $F2$ ki stage $P5$ se shuru hokar $P1$ par khatam ho rahi hai, lekin di gayi condition "Stage from $P5$ to $P3$ was not the first stage" ko follow karne par $F2$ ka finish point $P3$ aata hai.

Answer:

Farmer $F2$ ka finish point $P3$ hai.

Correct Option: (c)