Multiple choice

The questions given below contains two statements giving certain data . You have to decide whether the data given in the statements are sufficient for answering the question ? Mark answer- Find the time taken by Mayank to cross a plateform. Statement I :- A train moving with 60 km/h cross a plateform in 50 seconds. Statement II :- Mayank running at 12 km/h opposite in the direction of train crosses it in 20 seconds.

  1. If statement I alone is sufficient but statement II alone is not sufficient

  2. If statement II alone is sufficient but statement I alone is not sufficient

  3. If each statement alone (either I or II) is sufficient

  4. If statement I and II together are sufficient , but neither statement alone is sufficient

  5. If statement I and II together are not sufficient

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives train speed (60 km/h) and platform crossing time (50 s), but no info about Mayank. Statement II gives Mayank's speed (12 km/h) and his crossing time (20 s), but no train length. Together: Let train length = L. From Statement I: L = 60 × (5/18) × 50 = (300/18) × 50 = 833.33 m. From Statement II: Relative speed = (60 + 12) × (5/18) = 72 × (5/18) = 20 m/s. Mayank crosses train in 20 s, but we need platform length. Wait, the question asks for time taken by Mayank to cross a platform, not the train. We need platform length from Statement I (833.33 m) and Mayank's speed from Statement II (12 km/h = 3.33 m/s). Time = 833.33/3.33 = 250 s. Both statements are needed together.