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A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:

A. 145º

B. 150º

C. 155º

D. 160º

Answer: Option C

Solution(By Examveda Team)

Angle traced by hour hand in 12 hrs = $${360^ \circ }$$
Angle traced by hour hand in 5 hrs 10 min. i.e.,
$$\eqalign{ & \frac{{31}}{6}{\text{hrs}} = {\left( {\frac{{360}}{{12}} \times \frac{{31}}{6}} \right)^ \circ } \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {155^ \circ } \cr} $$

This Question Belongs to Arithmetic Ability >> Clock

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Comments ( 8 )

  1. Selfie Star
    Selfie Star :
    2 years ago

    5hr 10min
    5hr+10/60
    31/6hr*30
    =155°

  2. Rohit PCE18ME058
    Rohit PCE18ME058 :
    2 years ago

    360° in 12hr.
    So 360°=12 hr.
    30° =1 hr
    For 5 hr = 150°
    Or
    In one hr. Min. Rotets by 60
    So. 30° = 60 min.
    0.5°= 1 min.
    So for 10 min = 5°
    So total angle = 150°+5° = 155° Ans.

  3. Dawit Arigaw
    Dawit Arigaw :
    3 years ago

    How you get 31 mister

  4. Goldi Maurya
    Goldi Maurya :
    3 years ago

    Angle = | (11/2 *min) - (30 * hours ) |
    Always use this formula for clock
    Angle= | 11/2* 25 - 30 * 10 |
    = | -137.5 |
    = 137.5
    Reflex angle = 360 - 137.5
    = 197.5

  5. Samin Rathore
    Samin Rathore :
    3 years ago

    1/2(60*Hour+Minute)
    1/2(60*5+10)
    1/2(300+10)
    155 Ans

  6. Himmat Rajput
    Himmat Rajput :
    3 years ago

    Is this true

  7. Tshering Dhendup
    Tshering Dhendup :
    5 years ago

    5hrs 10min = 5*60 min +10 min =310min
    310/60=31/6 min

  8. Felix Kasper
    Felix Kasper :
    5 years ago

    How do you get 31 by 6 sir

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