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 of E to C is `1/2` km
D. E is less than 1 km from A

Answer

A

Explanation

Information in statements (i), (ii) and (iii) be summerized by the following figures:

For statements (iv), (v), (vi) and (vii) the following figurative representations

If E is between B and C, we will have the following figure:

From the above Fig., it is dear that the statement .D is 2 km West of A. is false.