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.
Which is necessarily true ?

Options

A. E and B intersect
B. D is 2 km west of B
C. D is at least 2 km west of A
D. M is 1.5 km north of L

Answer

D

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

From the fig., it is dear that distance of M from
`L=LK+KM=1/2+1=1.5km`
Also by basic direction diagram, it is dear that Mis to the North of L.
Therefore, M is 1.5 km North of L.