The greatest possible length which can be used to measure exactly the lengths $7 m, 3 m 85 c m, 12 m 95 c m$ is

35 c m

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53 c m

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55 c m

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65 c m

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Solution

The correct option is A $35 c m$
$7 m = 700 c m$

$3 m + 85 c m = 300 c m + 85 c m$

$= 385 c m$

$12 m + 95 c m = 1200 c m + 95 c m$

$= 1295 c m$

$700 = 4 \times 5 \times 5 \times 7$

$385 = 5 \times 7 \times 11$

$1295 = 5 \times 7 \times 37$

HCF of $700, 385$ and $1295$ $= 5 \times 7$

$= 35$

So, the required length $= 35 c m$

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Similar questions

Find the greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm and 12 m 95 cm.

The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is :

7 m, 12 m 95 c m

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