Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m ...
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.
Answer/Solution
45
Steps/Work
Required length = H.C.F. of 495 cm, 900 cm and 1665 cm.
495 = 3^2 x 5 x 11, 900 = 2^2 x 3^2 x 5^2, 1665 = 3^2 x 5 x 37.
Therefore, H.C.F. = 32 x 5 = 45.
Hence, required length = 45 cm.
Answer is A.
495 = 3^2 x 5 x 11, 900 = 2^2 x 3^2 x 5^2, 1665 = 3^2 x 5 x 37.
Therefore, H.C.F. = 32 x 5 = 45.
Hence, required length = 45 cm.
Answer is A.