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Q.

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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a

4 mm

b

2 mm

c

5 mm

d

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 ImageWe were given 10m, 5dm, 2cm, 4mm
By converting them into millimeters we get,
Question ImageTogether we get, Question ImageBy converting and 12m, 7dm, 5cm, 2 mm into millimeters we get,
Question ImageTogether we get, Question ImageNow, we must find the greatest length that can be contained.
By prime factorisation of 12752 and 10524 we get,
Question ImageThe greatest common divisor is: Question ImageHence, the correct answer is option 1.
 
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