Question

A clock is started at 6 pm. How much has the hour hand turned through after 50 minutes past 11?

• A. 165
• B. 150
• C. 175
• D. 160
• E. 170

Answer 1

The correct option is C

175

Angle traced by hour hand in 12 hrs = 360${}^0$

Angle traced by hour hand in 5 hrs 50 minutes = $\frac{35}{6}$ hrs = ${(\frac{360}{12}\times \frac{35}{6})}^0$ = 175${}^0$