Find the greatest length which can be contained exactly in 10 m, 5 dm, 2 cm, 4 mm and 12 m, 7d m, 5 cm, 2 mm.

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4 mm

2 mm

5 mm

3 mm

answer is A.

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Detailed Solution

Concept- The measurements are given in different units.
To calculate further we must first convert them into the same units.
Question Image

We were given 10m, 5dm, 2cm, 4mm
By converting them into millimeters we get,
Question Image

Together we get,

By converting and 12m, 7dm, 5cm, 2 mm into millimeters we get,
Question Image

Together we get, $Question Image$ Now, we must find the greatest length that can be contained.
By prime factorisation of 12752 and 10524 we get,

The greatest common divisor is:

Hence, the correct answer is option 1.

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