Clock - Arithmetic Aptitude Questions and Answers

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At what time between 5.30 and 6 will the hands of a clock be at right angles?

43\(\frac { 5 } { 11 } \)min. past 5

43\(\frac { 7 } { 11 } \)min. past 5

40 min. past 5

45 min. past 5

Answer : Option B

Explanation :

At 5 o'clock, the hands are 25 min. spaces apart.

To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.

55 min. spaces are gained in 60 min.

40 min. spaces are gained in[\(\frac { 60 } { 55 }\)x40]min=43\(\frac { 7 } { 11 } \)min