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The greatest length of the scale that can measure exactly 20 cm, 90 cm, 1 m 25 cm and 1 m 30 cm length is:

Solution

Correct Option: 1

Convert all lengths to cm: 20, 90, 125, 130. The greatest length of scale = HCF of these. 20=22×520 = 2^2 \times 5, 90=2×32×590 = 2 \times 3^2 \times 5, 125=53125 = 5^3, 130=2×5×13130 = 2 \times 5 \times 13. HCF =5= 5 cm.

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