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GATE 2014 EE (EE2) – Question 10

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

Between 6 am and 7 am, which listed time gives the angle between minute and hour hands closest to 60°?

  1. 6:22 am
  2. 6:27 am
  3. 6:38 am
  4. 6:45 am

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Show answer and explanation

Correct answer: (A) 6:22 am

Explanation

At t minutes past6, the relative hand angle is |180−5.5t| before taking the smaller angle. The listed22,27,38,45minutes give59°,31.5°,29°,67.5°. Thus **6:22am,A** is closest to60°. Exact60° occurs at21.818minutes or43.636minutes, neither listed.