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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.

A. 48 cm

B. 55 cm

C. 45 cm

D. 50 cm

Correct Answer : C.


Required length = H.C.F. of 495 cm, 900 cm and 1665 cm.      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.           Hence, required length = 45 cm.

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