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The reflex angle between the hands of a clock at 10.25 is:

A. 180º

B. $${\text{192}}{\frac{1}{2}^ \circ }$$

C. 195º

D. $${\text{197}}{\frac{1}{2}^ \circ }$$

Answer: Option D

Solution(By Examveda Team)

Angle traced by hour hand in $$\frac{{125}}{{12}}$$ hrs
$$\eqalign{ & = {\left( {\frac{{360}}{{12}} \times \frac{{125}}{{12}}} \right)^ \circ } \cr & = 312{\frac{1}{2}^ \circ } \cr} $$
Angle traced by minute hand in 25 min
$$\eqalign{ & = {\left( {\frac{{360}}{{60}} \times 25} \right)^ \circ } \cr & = {150^ \circ } \cr} $$
$$\eqalign{ & \therefore {\text{Reflex angle}} \cr & = {360^ \circ } - {\left( {312\frac{1}{2} - 150} \right)^ \circ } \cr & = {360^ \circ } - 162{\frac{1}{2}^ \circ } \cr & = 197{\frac{1}{2}^ \circ } \cr} $$

This Question Belongs to Arithmetic Ability >> Clock

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Comments ( 7 )

  1. Siva Nageswararao
    Siva Nageswararao :
    2 years ago

    What is 125/2

  2. Nikita Sahu
    Nikita Sahu :
    3 years ago

    192.5 degree

  3. Anonymous
    Anonymous :
    3 years ago

    @Xojiakbar
    This is true answer

    Angel between them is 162.5 but

    Reflex angle is 360-162.5=197.5
    Therefore this is correct answer.

  4. Suresh Chand
    Suresh Chand :
    3 years ago

    Formula-
    a - angle
    a = 30×hr-11/2×min
    Hr = 10
    Min = 25
    a = 30×10-11/2×25
    = 300-275/2
    = 162.5
    Reflex angle = 360-162.5 =197.5

  5. Vishal Bhalla
    Vishal Bhalla :
    3 years ago

    angle = 30 H - 11M/2
    = 30×10 - 11×25/2
    300-275/2
    300-137.5
    = 162.5
    Reflex angle =360 - 162.5 = 197.5

  6. Xojiakbar Bosimbekov
    Xojiakbar Bosimbekov :
    4 years ago

    false answer
    true answer=162.5

  7. Ayush Roy
    Ayush Roy :
    6 years ago

    Good question.

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