Standing on a platform, Amit told Sunita that Aligarh was more than ten…

2026

Standing on a platform, Amit told Sunita that Aligarh was more than ten kilometres but less than fourteen kilometres from there. Sunita knew that it was more than twelve but less than fifteen kilometres from there. If both of them were correct, which of the following could be the distance of Aligarh from the platform?

  1. A.

    11 km

  2. B.

    12 km

  3. C.

    13 km

  4. D.

    14 km

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Correct answer: C

Solution:

  • Amit: more than 10 km and less than 14 km → interval (10, 14).

  • Sunita: more than 12 km and less than 15 km → interval (12, 15).

  • Intersection of the two intervals is (12, 14). The only integer distance in that interval is 13 km.

Answer: 13 km.

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