6th Class Mental Ability Related to Competitive Exam Question Bank Time and Clock

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

    A) \[105{}^\circ \]   

    B)                    \[115{}^\circ \]

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

    D)       \[135{}^\circ \]

    E) None of these

    Correct Answer: A

    Solution :

    Explanation Option [a] is correct. At 2'O clock, minute hand will be \[10\times 6=60{}^\circ \] behind the hour hand. In 30 minutes, minute hand will gain \[{{\left( 5\frac{1}{2} \right)}^{{}^\circ }}\times 30=150+15=165{}^\circ \] \[\therefore \] Angle between hour hand and minute hand \[=165-60=105{}^\circ \]


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