NIMCET 2014 — Reasoning PYQ

Solution

Step 1: Horizontal Road Analysis (North to South)

From the data provided in the previous question (Que. 72):

• $I$ is $1\text{ km}$ North of $J$.

• $J$ is $1/2\text{ km}$ North of $K$.

• $K$ is $1/2\text{ km}$ North of $L$ (from the main text).

Evaluating Option 1 & 3:

• Option 1: $L$ is actually South of $I$.

• Option 3: $I$ is $1\text{ km}+1/2\text{ km}=1.5\text{ km}$ North of $K$. So, this is false.

Step 2: Vertical Road Analysis (West to East)

Let's look at the East-West placement of roads $A,B,$ and $C$:

• Road $A$ is $1\text{ km}$ East of road $B$.

• Road $B$ is $1/2\text{ km}$ West of road $C$.

This gives the West-to-East sequence: $B\to (1/2\text{ km})\to C\to (1/2\text{ km})\to A$.

Evaluating Option 2 & 4:

• Option 2: $D$ and $C$ are parallel, but we don't have enough information to link the $D/E$ group's exact distance to the $A/B/C$ group to claim "exactly $1\text{ km}$ West".

• Option 4: We are directly told "Road $B$ is $1/2\text{ km}$ West of road $C$". This means the distance between $C$ and $B$ is exactly $1/2\text{ km}$.

Conclusion:

Possibility 4 is definitely true based on the provided information.

Correct Option: 4 ($C$ and $B$ are $1/2\text{ km}$ apart)