An accurate clock shows the time as 3.00. After the hour hand has moved 135°, the time would be
(a)6.30
(b)7.30
(c)8.00
(d)9.30
Answer
Answer (as printed): B
Explanation
Time taken by the hour hand to move 360° = 12 hours. Time taken by the hour hand to move 135° $$=\left(\frac{12}{360} \times 135\right) \mathrm{hrs}=4 \frac{1}{2} \mathrm{hrs} .$$ ∴ Required time is $4 \frac{1}{2} \mathrm{hrs}$ ahead of 3.00, i.e., 7.30.
Explanation as extracted from the printed page; notation may be imperfect.