Question

Q. No. 7: The greatest length of a scale that can measure 8m,12m and 24m
long ropes exactly is:

Answer 1

Answer:

• The greatest length possible to measure all the given lengths exactly must be 35 cm.

Answer 2

Given :- The greatest length of a scale that can measure 8m,12m and 24m long ropes exactly is ?

Solution :-

Lenth of three ropes is given as 8m, 12m and 24 m .

so, In order to find the the greatest length of a scale that can measure all three ropes , we need to find the HCF of length of ropes .

then, Prime factors of 8, 12 and 24 is :-

→ 8 = 2 * 2 * 2

→ 12 = 2 * 2 * 3

→ 24 * 2 * 2 * 2 * 3

so,

→ HCF = 2 * 2 = 4 .

therefore, the greatest length of a scale that can measure 8m,12m and 24m long ropes exactly is 4m .

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