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Question
At what time between 5:30 and 6 will the hands of a clock be at right angles?
Options:
A .  $$43\frac{5}{{11}}$$ min. past 5
B .  $$43\frac{7}{{11}}$$ min. past 5
C .  40 min. past 5
D .  45 min. past 5
Answer: Option B
The correct option is A 43 (7/11) min. past 5
At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.
55 min. spaces are gained in 60 min
40 min. spaces are gained in
(60/55×40) min=43 (7/11) min
Answer is 43 (7/11) min past 5

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