A) \[20\frac{4}{11}\] min past 5
B) \[21\frac{7}{11}\] min past 5
C) \[20\frac{8}{11}\] min past 5
D) \[21\frac{9}{11}\] min past 5
Correct Answer: D
Solution :
At 5 o'clock, the minute hand is 25 min spaces apart. The two hands will be 5 min apart between 5 and 5 : 30, if the minute hands is (25- 5) i.e., 20 min spaces behind the hour hand. Now, 55 min are gained in 60 min, 20 min are gained in \[\left( \frac{60}{55}\times 20 \right)\] min \[=\left( \frac{240}{11} \right)\] min \[=21\frac{9}{11}\] min \[\therefore \] The hands will be 5 min apart at \[=21\frac{9}{11}\] min past 5.
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