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.

**If E is between B and C, which of the following is false ?**

** Option:**

**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 ½ km.

**D.**E is less than 1 km from A.

**E.**D is less than 1 km from B.

**Answer: B . C is less than 1.5 km from D.**

** 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.

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

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