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GATE 2022 CE (CE2) – Question 2

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

$x:y:z=\frac12:\frac13:\frac14$. What is $(x+z-y)/y$?

  1. 0.75
  2. 1.25
  3. 2.25
  4. 3.25

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Show answer and explanation

Correct answer: (B) 1.25

Explanation

Multiply the ratio by 12 to obtain $x:y:z=6:4:3$. The common scale cancels from the requested fraction.

Thus $(x+z-y)/y=(6+3-4)/4=\mathbf{1.25}$, **B**.