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GATE 2021 EC – Question 9

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

The number of minutes spent by two students, X and Y, exercising every day in a given week are shown in the bar chart above.

The number of days in the given week in which one of the students spent a minimum of 10% more than the other student, on a given day, is

Diagram for GATE 2021 EC question 9
  1. 4
  2. 5
  3. 6
  4. 7

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Correct answer: (C) 6

Explanation

Reading Y and X for each day (minutes): Sunday 65/55, Saturday 50/60, Friday 35/20, Thursday 55/60, Wednesday 50/60, Tuesday 65/55, Monday 70/45. The larger-to-smaller ratios are 1.18, 1.20, 1.75, 1.09, 1.20, 1.18 and 1.56. Only Thursday (1.09) is below 1.10, so 6 days qualify.