Question

Directions:- Study the following information carefully to answer the question given below.

All the roads of a city are either perpendicular or parallel to one another. The roads are all straight. Roads A, B, C, D and E are parallel to one another. Roads G, H, I, J, K, L and M are parallel to one another. Road A is 1 km East of road B. Road B is $\frac{1}{2}$ km West of Road C. Road D is 1 km West of road E. Road G is $\frac{1}{2}$ km South of road H. Road I is 1 km North of road J. Road K is $\frac{1}{2}$ km North of road L. Road K is 1 km South of road M.

If E is between B and C, which of the following is false?

• A. D is 2 km West of A
• B. C is less than 1.5 km from D
• C. Distance from E and B added to distance of E to C is $\frac{1}{2}$ km
• D. E is less than 1 km from A.
• E. None of these

Answer 1

The correct option is A D is 2 km West of A

From the given information, we can draw the following diagram:
From the first three information; we have

From the last four information, we have



Option (1) : The distance between A and D is $1\frac{3}{4}$ km, therefore option (A) is false.
Option (2) : The distance between C and D is $1\frac{1}{4}$ that is less than 1.5 km.
Option (3) : The distance between E and B is $\frac{1}{4}$ km and that of between C and E is $\frac{1}{4}$ km. Therefore, sum of differences between E and B and E and C is $\frac{1}{4}+\frac{1}{4}=\frac{1}{2}$ km, therefore it is also used.
Option (4) : The distance between A and E is $\frac{3}{4}$ km that is less than 1 km therefore it is correct.
Hence, the required answer is (A).