Question

Determine the longest tape which can be used to measure exactly the length 7m, 3m 85cm & 12m 95cm

Answer 1

a = 7m
= 700 cm
b = 3m 85cm
= 385 cm
c = 12m 95 cm
= 1295 cm

H.C.F. of a,b,c

700 = 2×2×5×5×7

385 = 5×5×5×3

1295= 5×7×37

Therefore it's HCF = 5

Therefore,
5cm rape is the longest tap which can be used to measure the length 7m, 3m 85cm and 12m 95 cm exactly

Answer 2

Answer:

1st we will change it in centimeters=

7m=700 cm

3m85cm=385 cm

12m95 cm=1295 cm

therefore H.C.F of 700=2×2×5×5×7=700

385=5×5×5×3=385

1295=5×7×37=1295

therefore it's H.C.F=5

AS THERE IS 5 COMMON IN ALL THREE NUMBERS

SO 5 M TAP IS THE LONGEST TAP THAT CAN BE USED TO MEASURE THE LENGTH 7M,3M85CM, 85AND12M AND 95 CM EXACTLY