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 of the following possibilities would make two roads coincide ?**

** Option:**

**A.**L is ½ km north of I.

**B.**C is 1 km west of D.

**C.**I si ½ km north of K.

**D.**D is ½ km east of A.

**E.**E and B are ½ km apart.

**Answer: E . E and B are ½ km apart.**

** 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.

Clearly,** seeing in figure in Q. 50, we find that if E and B are ½ km apart, there is a possibility that E coincides with C.**