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GATE 2017 ME (ME2) – Question 10

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

The graph plots lake pollutant concentration on alternate days in winter (average 10°C) and summer (average 30°C). Consider: (i) The difference between maximum and minimum concentration is the same in both months. (ii) At least four summer days have concentrations within 1 ppm of the corresponding winter days. Which is correct?

Diagram for GATE 2017 ME (ME2) question 10
  1. Only i
  2. Only ii
  3. Both i and ii
  4. Neither i nor ii

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Show answer and explanation

Correct answer: (B) Only ii

Explanation

Winter concentration ranges approximately0 to8ppm, while summer ranges1.5 to10.5ppm. The ranges8 and9ppm differ, so statement i is false. Around days8,10,12 and14 the two curves differ by at most1ppm, satisfying statement ii. Therefore **only ii, B**.