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GATE 2016 ME (ME1) – Question 4

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Multiple choice

In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe ones, 66% are oranges. If the pile contains a total of 5692000 fruits, how many of them are apples?

  1. 2029198
  2. 2467482
  3. 2789080
  4. 3577422

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Show answer and explanation

Correct answer: (A) 2029198

Explanation

Unripe apples form0.15·0.45 of all fruits. Ripe fruits form0.85 of the total, and their apple fraction is1−0.66=0.34. Total apple fraction is0.0675+0.289=0.3565. Multiplying5692000 by0.3565 gives **2029198apples, A**.