# If a clock started at noon, then the angle traversed by the hour hand at 5.45 Pm will be:

- 112.5
^{0} - 120
^{0} - 172.5
^{0} - None of these

**Answer: (4) 172.5 ^{o}**

**Explanation:-
**Angle traced by hour hand in 12 hrs = 360

^{o}

Therefore, angle traced by hour hand in 5 hours 45 minutes = 23/4 hrs

= 360 x 23 / 12 x 4

= 30 x 23/4

= 15 x 23/2

= 345/2

= 172.5^{o}

Then, the angle traversed by hour hand at 5.45 PM will be 172.5^{o.}

Hence, the answer is (4) 172.5^{o. }