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Find the greatest possible length which can be used to measure exactly the lengths 2m.25cm, 2m.70cm,3m.15cm.

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15 cm

45 cm

25 cm

35 cm

answer is B.

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Detailed Solution

2m.25cm=225cm, 2m.70cm=270 cm,3m.15cm=315cm

$225 = 5^{2} \times 3^{2}$

$270 = 5 \times 3^{3} \times 2$

$315 = 5 \times 3^{2} \times 7$

.HCF of 225cm, 270cm, 315cm is 45 cm

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