Question

Q74. At what time between 5:30 and 6:00 will the hands of a clock be at right angle?

• A. (a) $54\frac{5}{11}$ minutes past 5
• B. (b) $43\frac{7}{11}$ minutes past 5
• C. (c) 41 minutes past 5
• D. (d) 63 minutes past 5

Answer 1

The correct option is B

(b) $43\frac{7}{11}$ minutes past 5

At 5 o’ Clock, the hands are 25 minute spaces apart. To be at right angle, between 5:30 and 6, the minute hand has to gain (25+15) = 40 minute spaces. 55 minute spaces are gained in 60 min. 40 minute spaces are gained in $(\frac{60}{55}\times 40)min=43\frac{7}{11}min$

$\therefore$ The required time = $43\frac{7}{11}minpast5$