12th Class Mental Ability Time and Clock Question Bank Question - Time and Clocks

  • question_answer
    How much does a watch lose per day, if its hands coincide every 64 minutes?

    A) \[32\frac{8}{11}\] Minutes

    B) \[36\frac{5}{11}\] Minutes

    C)  90 minutes

    D) 96 minutes

    E) None of these 

    Correct Answer: A

    Solution :

    Explanation Option (a) is correct. 55 minute are covered in 60 minutes. 60 minute are covered in \[\left( \frac{60}{55}\times 60 \right)\,\,\,\,\,\,\,\,=\,\,\,65\frac{5}{11}\,\,\min \] Loss in 64 min. \[=\,\,\left( 65\frac{5}{11}-64 \right)\,\,=\,\,\frac{16}{11}\,\,\min \] Loss in 24 hrs = \[=\,\,\left( \frac{16}{11}\times \frac{1}{24}\times 60 \right)\,\min \,\,=\,\,\,32\frac{8}{11}\,\,\min \]


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