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

  • question_answer
    What will be the acute angle between hands of a clock at 2 : 30?

    A)  \[{{105}^{o}}\]                              

    B)  \[{{115}^{o}}\]

    C)  \[{{95}^{o}}\]                                

    D)  \[{{135}^{o}}\]

    Correct Answer: A

    Solution :

    At 2'O Clock, Minute Hand will be \[10\times 6={{60}^{o}}\] behind the Hour Hand. In 30 minutes. Minute Hand will gain \[{{\left( 5\frac{1}{2} \right)}^{o}}\times 30\] \[=150+15={{165}^{o}}\] \[\therefore \] Angle between Hour Hand and Minute Hand  \[=165-60={{150}^{o}}\]


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