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Question

Choose the most appropriate option.
 A clock was set correct at $$12$$O' clock. It loses $$10$$ minutes per hour. What will be the angle between the hour and minute hands of the clock after one hour?


A
900
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B
850
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C
750
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D
1050.
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Solution

The correct option is C $$85^0$$
The clock loses $$10$$ minutes per hour.  
Here, the clock shows only $$50$$ minutes for $$60$$ minutes ( in $$1$$ hour )
The clock show the time $$12:50$$, after $$1$$ hour.
We can find the angle between hour hand and minutes at $$H$$ hours $$M$$ minutes $$=30H-\dfrac{11}{2}M$$
The angle between the two hands of the clock after $$1$$ hour $$=30\times 12-\dfrac{11}{2}\times 50$$
                                                                                                    $$=360^o-11\times 12$$
                                                                                                    $$=360^o-275^o$$
                                                                                                    $$=85^o$$

Logical Reasoning

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