Question:

If the minutes hand of a clock is facing South, then the direction of the minutes hand after \(210\) minutes is

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For clock direction questions, reduce the time by \(60\) minutes and then check the remaining rotation.
  • North
  • East
  • West
  • South-West
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The Correct Option is A

Solution and Explanation

Concept:
The minute hand of a clock completes one full rotation in \(60\) minutes. One full rotation means it returns to the same direction.

Step 1: Reduce \(210\) minutes modulo \(60\).
\[ 210=60\times 3+30 \] So after \(210\) minutes, the minute hand has completed \(3\) full rotations and then moved an additional \(30\) minutes.

Step 2: Understand \(30\) minutes movement.
In \(30\) minutes, the minute hand moves half a circle. Half a circle means \[ 180^\circ \]

Step 3: Apply to the initial direction.
Initially the minute hand is facing South. After moving \(180^\circ\), it will face the opposite direction. The direction opposite to South is \[ \text{North} \]

Step 4: Final answer.
\[ \boxed{\text{North}} \]
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