A question and two statements are given below. You have to decide which…
2022
A question and two statements are given below. You have to decide which statement is sufficient to answer the given question. What is the shortest distance between K and M? Statements: (I) K is 200 km away from L. (II) M is 300 km away from L.
- A.
Only I is sufficient
- B.
Only II is sufficient
- C.
Both I and II are sufficient together
- D.
Neither I nor II are sufficient
Attempted by 70 students.
Show answer & explanation
Correct answer: C
Final answer: Both statements together are sufficient; the shortest distance between K and M is 100 km.
Explanation:
Given distances from L: K is 200 km from L, and M is 300 km from L.
The minimum possible distance between two points at fixed distances from the same point occurs when they are collinear with that point and on the same side. In that configuration the separation equals the absolute difference of the distances.
Compute the difference: |300 − 200| = 100 km. Thus the shortest possible distance between K and M is 100 km.
With only one statement (only K’s distance or only M’s distance) the other point’s location is unconstrained, so you cannot determine the shortest distance.