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 ½ km west of road C.**(iii). **Road D is 1 km west of road E.**(iv). **Road G is ½ km south of road H.**(v). **Road I is 1 km north of road J.**(vi).** Road K is ½ km north of road L.**(vii).** Road K is 1 km south of road M.

**Which is necessarily true ?**

** Option:**

**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.

**E.**I is 1 km north of L.

**Answer: D . M is 1.5 km north of L.**

** Justification:**

Clearly from statements (1) and (2), figure 1 follows; from statement (3), figure 2 follows; from statement (4), figure 3 follows; and from statement (5), figure 4 follows; and from statements (6) and (7), figure 5 follows.

**It follows from figure 5 that distance of M from L = LK + KM = ****½** **+ 1**** = 1.5 km and M is to the north of L.**