The largest possible length of tape which can measure 525 cm, 1050 cm, and 125 cm length of clothes in a minimum number of attempts without measuring the length of a cloth in a fraction of the tape's length is _____.

25 cm

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105 cm

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75 cm

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50 cm

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Solution

The correct option is C 25 cm
In such kind of problems, we calculate the highest common factor $(H C F) .$
Factor of $525 = 5 \times 5 \times 3 \times 7$
Factor of $1050 = 2 \times 5 \times 5 \times 3 \times 7$
Factor of $125 = 5 \times 5 \times 5$

We get $H C F = 5 \times 5 \Rightarrow 25$

Hence, the required length is $25 c m .$

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The largest possible length of tape which can measure 525 cm, 1050 cm, and 125 cm length of clothes in a minimum number of attempts without measuring the length of a cloth in a fraction of the tape's length is _____.

The correct option is C 25 cmIn such kind of problems, we calculate the highest common factor (HCF).Factor of 525=5×5×3×7Factor of 1050=2×5×5×3×7Factor of 125=5×5×5We get HCF=5×5⇒25Hence, the required length is 25 cm.