Question

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, L and M are parallel to one another.

I. A is 1 km east of road B. V. B is 0.5 km west of C.
II. D is 1 km west of E. VI. G is 0.5 km south of H.
III. I is 1 km north of J. VII. K is 0.5 km north of L.
IV. K is 1 km south of M.

Q.1 :- If E is between B and C, then distance between A and D is
(i) 0.5 km (ii) 1 km (iii) 1.5 km (iv) 1.5 to 2 km

Q.2 :- Which of the following possibilities would make two roads coincide?
(i) L is 0.5 km north of I (ii) C is 1 km west of D.
(iii) I is 0.5 km north of K. (iv) E and B are 0.5 km apart.

The correct answers for above two questions in sequence are :-
(a) iii, i (b) iv, iv (c) ii, ii (d) i, iv (e) iv, iii ​

Answer 1

1). If E is between B and C, then distance between A and D is in between 1.5 to 2 km . Hence , the option (iv) is the correct option .

2). If E and B are 0.5 km apart , then there is a possibilities that the road E and C as well as road D and A will coincide . Hence , the option (iv) is the correct option .

3). The correct answers for above two questions in sequence are (iv) , (iv) .