A) 40 cm
B) 50 cm
C) 60 cm
D) 1 m 20 cm
Correct Answer: A
Solution :
(a): Greatest length will be HCF of 800, 920 and 1080 Consider 80, 92 and 180 By prime factorization method, \[\left. \begin{align} & 80={{2}^{4}}\times 5 \\ & 92={{2}^{2}}\times 23 \\ & 108={{2}^{2}}\times {{3}^{3}} \\ \end{align} \right]\]Common factor =\[{{2}^{2}}=4\] Hence, HCF = 40
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