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MPSC State Service 2020 · CSAT · Question 70 of 77

Vini travels by monorail to work. She has to use escalator to reach the platform. It takes her 21.0 seconds to reach the top of the escalator if she runs 8 steps. If she runs 13 steps it takes only 13.5 seconds. Select the number of seconds that she would require to reach the top of escalator if she decides not to run any step.

Quantitative Aptitude

  1. A22
  2. B33Correct
  3. C27
  4. D22.2

Answer: B. 33

Explanation

Let N be total steps and v the escalator speed: 8 steps in 21 s and 13 steps in 13.5 s give N=33 steps, taking 27 s without running... solving (N-8)/21 = (N-13)/13.5 gives N = 33; time for escalator alone = 27 s.

Source: MPSC Rajyaseva Prelims 2020 – CSAT Paper II (Set C), official paper

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