ABC26GN5182 · Clocks
Subject: General Aptitude · Chapter: Clocks · Exam: 2003 · Marks: · Difficulty:
At what angle the hands of a clock are inclined at 15 minutes past 5?
(a)58, $\frac{1}{2}^{\circ}$
(b)64°
(c)$67 \frac{1}{2}^{\circ}$
(d)72 $\frac{1}{2}^{\circ}$
Answer
Explanation
Angle traced by hour hand in $\frac{21}{4} \mathrm{hrs}=\left(\frac{360}{12} \times \frac{21}{4}\right)^{\circ}=157 \frac{1}{2}^{\circ}$. $$\text { Angle traced by min. hand in } 15 \mathrm{min} .=\left(\frac{360}{12} \times 15\right)^{\circ}=90^{\circ} \text {. } \text { ∴ } \text { Required angle }=\left(157 \frac{1}{2}\right)^{\circ}-90^{\circ}=67 \frac{1}{2}^{\circ} .$$
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