Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm.

Question

A. 48 cm

B. 55 cm

C. 45 cm

D. 50 cm

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Correct Answer :

C. 45 cm

R e q u i r e d l e n g t h = H . C . F . o f 495 c m, 900 c m a n d 1665 c m . 495 = 32 x 5 x 11, 900 = 22 x 32 x 52, 1665 = 32 x 5 x 37 . H . C . F . = 32 x 5 = 45 . H e n c e, r e q u i r e d l e n g t h = 45 c m .