Question

At what time between 5.30 and 6 will the hands of a clock be at right angles?

• A. (43 and 5/11) minutes past 5
• B. (43 and 7/11) minutes pats 5
• C. 5:45
• D. 44 and 3/11 minutes past 5

Answer 1

The correct option is B (43 and 7/11) minutes pats 5

At 5: 30, the hands are 15 degrees apart. For them to be at right angle to each other, the minute hand should trace 75 degrees more than the hour hand and minute hand gains 5.5 degrees every minute.
Time taken $=\frac{75}{5.5}=13and\frac{7}{11}\Rightarrow$ They will be at right angle when time is $5:43\frac{7}{11}$