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CTET 1 Mar 2026 Paper 1, Question 69

Topic: Maps and directions

Q69

A doctor is located at X and his clinic is located at Y. Since there is no straight road between the two locations, the doctor first goes to A which is about 250 m due South of X, then goes to B which is about 400 m due East of A, then to C which is about 125 m South of B, and finally reaches the clinic at Y which is about 650 m due West of C. With respect to the clinic at Y, the actual direction of the doctor’s house at X is :

  1. (1) South-West
  2. (2) North-EastCorrect answer
  3. (3) South-East
  4. (4) North-West

Solution.

CBSE answer: (2)

Answer: (2) North-East

  1. Take X at the origin, east and north positive.
  2. South total: 250+125=375250 + 125 = 375 m, so Y is 375 m south of X.
  3. East-west: 400−650=−250400 - 650 = -250 m, so Y is 250 m west of X.
  4. So Y is south-west of X, which means X is north-east of Y.

Trap: South-West is where Y lies from X; the question asks the reverse.