A) 4p.m.
B) \[59\frac{7}{12}\] minutes past 3
C) \[58\frac{7}{11}\] minutes past 3
D) \[2\frac{3}{11}\] minutes past 4
Correct Answer: A
Solution :
Time from 7 a.m. to quarter pass 4 = 9 hours 15 min. = 555 min. Now, \[\frac{37}{12}\] min. of this watch = 3 min. of the correct watch. 555 min. of this watch \[=\left( \frac{3\times 12}{37}\,\times 555 \right)\,\min \]. \[=\left( \frac{3\times 12}{37}\times \frac{555}{60} \right)\text{hrs}.\,=9\text{hrs}.\] of the correct watch. Correct time is 9 hours after 7 a.m. i.e., 4 p.m.
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