Clock - Arithmetic Aptitude Questions and Answers

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How much does a watch lose per day, if its hands coincide every 64 minutes?

32\( \frac { 8} { 11} \)min

36\( \frac { 5} { 11} \)min

90 min.

96 min.

Answer : Option A

Explanation :

55 min. spaces are covered in 60 min.

60 min. spaces are covered in[\( \frac {60 } { 55 } \)x60]min=65\(\frac { 5 } { 11 } \)min

Loss in 64 min. =[65\(\frac { 5 } { 11 } \)-64]=\(\frac { 16 } { 11 } \)min

Loss in 24 hrs =[\(\frac { 16 } { 11 } \)x\(\frac { 1 } { 64 } \)x24x60]min=32\( \frac { 8} { 11} \)min

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