ABC26GN5183 · Clocks
Subject: General Aptitude · Chapter: Clocks · Exam: · Marks: · Difficulty:
The reflex angle between the hands of a clock at 10.25 is
(a)180°
(b)$192 \frac{1}{2}^{\circ}$
(c)195°
(d)$197 \frac{1}{2}^{\circ}$
Answer
Explanation
Angle traced by hour hand in $$\frac{125}{12} \mathrm{hrs}=\left(\frac{360}{12} \times \frac{125}{12}\right)^{\circ}=312 \frac{1}{2}^{\circ} .$$ Angle traced by minute hand in $25 \min =\left(\frac{360}{60} \times 25^{\circ}\right)=150^{\circ}$. $$\begin{aligned} \therefore \text { Reflex angle }=360^{\circ}-\left(312 \frac{1}{2}-150\right)^{\circ} & =360^{\circ}-162 \frac{1}{2}^{\circ} \\ & =197 \frac{1}{2}^{\circ} . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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