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GATE 2016 ME (ME3) – Question 4

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

Given (9 inches)½ = (0.25 yards)½, which one of the following statements is TRUE?

  1. 3 inches = 0.5 yards
  2. 9 inches = 1.5 yards
  3. 9 inches = 0.25 yards
  4. 81 inches = 0.0625 yards

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Show answer and explanation

Correct answer: (C) 9 inches = 0.25 yards

Explanation

One yard is36in, so0.25yd equals9in. Their positive square roots are consequently equal. Squaring both sides preserves this equality and gives **9in=0.25yd, C**. The conversion applies to the complete dimensional quantity.