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.
(i) Road A is 1 km east of road B.
(ii) Road B is `1/2` km west of road C.
(iii) Road D is 1 km west of road E.
(iv) Road G is `1/2` km south of road H.
(v) Road I is 1 km north of road J.
(vi) Road K is `1/2` km north of road L.
(vii)Road K is 1 km south of road M.
If E is between B and C, which of the following is false?

Options

A. D is 2 km west of A.
B. C is less than 1.5 km from D
C. Distance from E to B added to distance from E to C is 1/2 km.
D. E is less than 1 km from A.

Answer

A

Explanation

From statements 1, 2 and 3 the following figures follow:

From statements 4.5, 6 and 7 the following figures follow: