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All the roads of a city are either perpe...

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 `1/2` km west of road C.
(iii) Road D is 1 km west of road E.
(iv) Road G is `1/2` km south of road H.
(v) Road I is 1 km north of road J.
(vi) Road K is `1/2` km north of road L.
(vii)Road K is 1 km south of road M.
If K is parallel to I and K is `1/2` km south of J and 1 km north of G, which two roads would be `1/2` km apart?

A

I and K

B

J and G

C

I and G

D

Kand J.

Text Solution

Verified by Experts

The correct Answer is:
D

Information in statements (i), (ii) and (iii) be summerized by the following figures:

For statements (iv), (v), (vi) and (vii) the following figurative representations

From the given information, it is dear that the two roads / and K, K and H, H and G are `1/2` km apart as shown in Fig.

Therefore, the answer choice is (e) i.e., K and l.
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