csatmedium

Shahid and Rohit start from the same point in opposite directions. After each 1 km, Shahid always turns left and Rohit always turns right. Which of the following statements is correct?

  1. A.After both have travelled 2 km, the distance between them is 4 km.
  2. B.They meet after each has travelled 3 km.
  3. C.They meet for the first time after each has travelled 4 km.
  4. D.They go on without ever meeting again.
▶ Answer & Explanation

Correct answer: D. They go on without ever meeting again.

Shahid and Rohit start in opposite directions. Shahid turns left after every km, creating a spiral path that moves away from Rohit's path. Rohit turns right after every km, also creating a diverging spiral. Since both are moving in distinct spiral paths that continuously increase their separation, their paths will never intersect again after the initial start. Therefore, they will never meet again.

Source: UPSC csat 2015

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