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An accurate clock is started at noon. By 10 minutes past 3, the hour hand has turned through:

  • A.90
  • B.95
  • C.100
  • D.105

Answer: B

The hour hand turns \( 30^{\circ} \) an hour, or \( 0.5^{\circ} \) a minute.

From noon to 3:10 is \( 3\tfrac{1}{6} \) hours:

\[ 3\tfrac{1}{6} \times 30 = 95^{\circ} \]

The extra ten minutes contribute \( 10 \times 0.5 = 5^{\circ} \), which is what lifts the answer above the whole-hour figure.

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