What will be the angle between the hands when the time is 2:30?

135⁰

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120⁰

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105⁰

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108⁰

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Solution

The correct option is C 105⁰
When the time is 2:30, the hour hand will be positioned exactly between 2 and 3 and the minute hand is at 6. The angle between them will be 3*30+15 = 105⁰

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At what time between $5 : 30$ and $6 : 00$ will the hands of a clock be at right angle?

A. $54 \frac{5}{11}$ minutes past $5$

B. $43 \frac{7}{11}$ minutes past $5$

C. $63$ minutes past $5$

D. $41$ minutes past $5$

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