NIMCET 2014 — Reasoning PYQ

Step 1: Map the existing Vertical Roads (West to East)

From the data in Que. 72 and 73, we have the following positions for the first group of parallel roads:

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

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

This establishes the sequence: B $\to (0.5\text{ km})\to$ C $\to (0.5\text{ km})\to$ A.

Step 2: Incorporate the New Condition

The question states that road $E$ is between $B$ and $C$. Since the distance between $B$ and $C$ is $0.5\text{ km}$, road $E$ must be somewhere within that $0.5\text{ km}$ gap.

Step 3: Calculate Distance to Road D

From the main data in Que. 72:

• Road $D$ is $1\text{ km}$ West of road $E$.

Since $E$ is between $B$ and $C$, and $C$ is $0.5\text{ km}$ West of $A$, let's find the distance from $A$ to $D$:

1. Distance from $A$ to $C=0.5\text{ km}$

2. Distance from $C$ to $E=$ (some value less than $0.5\text{ km}$)

3. Distance from $E$ to $D=1\text{ km}$ (to the West)

The total distance from $A$ to $D$ is:

Conclusion:

The total distance is greater than $1.5\text{ km}$ but must be less than $2\text{ km}$ (because the gap between $C$ and $E$ is less than $0.5\text{ km}$). Therefore, the distance lies between $1\text{ km}$ and $2\text{ km}$.

Correct Option: 3 (between $1\text{ km}$ and $2\text{ km}$)a