Question

Two measuring tapes are having 8cm and 25cm length.the least lenth that can be measured by both the tapes exactly is

Answer 1

Answer:

1 cm.

Step-by-step explanation:

Considering that we have 2 accurate scales of 25 cm and 8 cm, we have to find a relation between the two scales that allow us to measure the smallest length accurately. To achieve this, we look for multiples of 25 or 8 that when subtracted from multiples of the other number give the least possible value. Since both the numbers here are real, the minimum value cannot be in decimals.

Now, it is observed that on holding the 25 cm scale straight and subtracting a value equal to thrice the length of the 8 cm scale (24 cm), we get 1 cm as the measurable value. Since it was mentioned that the smallest value can only be real numbers, 1 cm is least length achievable.