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 is ½ km north of K.
D. D is ½ km east of A.
E. E and B are ½ km apart.
Answers
Answer:
C. I is ½ km north of K. Will make L & J Roads coincide
Step-by-step explanation:
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
C. I is ½ km north of K. Will make L & J Roads coincide
As K is ½ km north of road L. & I is ½ km north of K
=> I is 1 km north of L
Also I is 1 km north of road J.
=> L & J roads will coincide