Question

Q80. How much does a watch lose per day, if its hands coincide every 64 min?

• A. (a) $32\frac{8}{11}min$
• B. (b) $38\frac{5}{11}min$
• C. (c) 95 min
• D. (d) 97 min

Answer 1

The correct option is A

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

55 minute spaces are covered in 60 min.

60 minute space are covered in

$(\frac{60}{55}\times 60)min=65\frac{5}{11}minLossin64min=(65\frac{5}{11}-64)=\frac{16}{11}minLossin24hours=(\frac{16}{11}\times \frac{1}{64}\times 24\times 60)min=32\frac{8}{11}min$