8th Class Mathematics Related to Competitive Exam Question Bank Calendar and Clock

  • question_answer
    A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 O'clock, the true time is ?

    A) 4 p.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, \[\frac{37}{12}\]mm. of this watch = 3 min. of the correct watch. 555 min. of this watch \[=\left( \frac{3\times 12}{37}\times 555 \right)\]min. \[=\left( \frac{3\times 12}{37}\times \frac{555}{60} \right)\]hrs. = 9 hrs. of the correct watch. Correct time is 9 hours after 7 a.m. i.e., 4 p.m.


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