Discussion
How many times do the hands of a clock are in perpendicular to each other in a day?
Answer: C
In each twelve-hour period the hands are at right angles 22 times - twice in most hours, but the crossings near 3 and 9 o'clock overlap so that two are lost.
\[ 22 \times 2 = 44 \text{ times in 24 hours} \]
The count is not 48, because between 2–3 and 3–4 (and again around 9) one right angle is shared rather than occurring twice.
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