7th Class Mental Ability Calendar Question Bank Time Clock and Calendar

  • question_answer
    A watch which gains 5 second every 3 minute was set right at 7 am. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time will be what?

    A) \[59\frac{7}{12}\] minutes past 3        

    B) 4 pm

    C) \[58\frac{7}{12}\] minutes past 3             

    D) \[2\frac{3}{11}\] minute 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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