Clock - Arithmetic Aptitude Questions and Answers

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At what angle the hands of a clock are inclined at 15 minutes past 5?

58\(\frac { 1^o } { 2 }\)

64°

67\(\frac { 1^o } { 2 }\)

72\(\frac { 1^o } { 2 }\)

Answer : Option C

Explanation :

Angle traced by hour hand in\(\frac { 21 } { 4 } \)hrs=[\(\frac { 360 } { 12 }\)x\(\frac { 21 } { 4 } ]^o\)=57\(\frac { 1^o } { 2 }\)

Angle traced by min. hand in 15 min. =[\(\frac { 360 } { 60 }\)x\(15]^o\)= 90°

Required angle =[157\(\frac { 1^o } { 2 }\)]- 90° = 67\(\frac { 1^o } { 2 }\)

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