A) \[59\frac{7}{12}\]minutes past 3
B) 4 pm
C) \[58\frac{7}{12}\] minutes past 3
D) \[2\frac{3}{11}\] minutes past 4
E) None of these
Correct Answer: B
Solution :
Explanation Option (b) is correct. Time from 7 am to \[4:15\] \[pm=9\] hrs 15 minute \[=\,\,\frac{37}{4}\,hrs\] 3 minutes 5 seconds of this clock = 3 minute of the correct clock \[\Rightarrow \,\,\frac{37}{720}\] hrs of this clock \[=\,\,\frac{1}{20}\,\,hrs\] of the correct clock. \[\Rightarrow \,\,\frac{37}{4}\] hrs of this clock \[=\,\,\left( \frac{1}{20}\times \frac{720}{37}\times \frac{37}{4} \right)\] hrs of the correct clock. = 9 hrs of the correct clock \[\therefore \] The correct time is 9 hrs after 7 am i.e., 4 pm.
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