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### Discussion :: Clock

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

2.  A. 43$$\frac { 5 } { 11 }$$min. past 5 B. 43$$\frac { 7 } { 11 }$$min. past 5 C. 40 min. past 5 D. 45 min. past 5

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

Required time =43$$\frac { 7 } { 11 }$$min.past 5.

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