Question

plz answer this question​

Answer 1

SoluTion 1 :-

$\sf {LCM\ of\ 12,16,24\ and\ 36=144}\\\\\sf {So,\ the\ smallest\ number\ which\ divides\ them\ is\ 144 }\\\\\\\sf {\because\ Remainder = 7}\\\\\sf {\therefore\ Answer = 144+7=151}$

SoluTion 2 :-

$\sf {Length = 825\ cm =3 \times 5 \times 5 \times 11}\\\\\sf {Breadth = 675\ cm =3 \times 3 \times 3 \times 5 \times 5}\\\\\sf {Height = 450\ cm =2 \times 3 \times 3 \times 5 \times 5}}$

$\sf {Longest\ tape = HCF\ of\ 825, 675, and 450 =3 \times 5 \times 5=75\ cm}\\\\\\\\sf {Therefore,\ the\ longest\ tape\ is\ 75 cm.}$

Answer 2

The measurement of longest tape = H.C.F. of 825 cm, 675 cm and 450 cm.

Factors of 825 = 3 x 5 x 5 x 11

Factors of 675 = 3 x 5 x 5 x 3 x 3

Factors of 450 = 2 x 3 x 3 x 5 x 5

H.C.F. = 3 x 5 x 5 = 75 cm

Therefore, the longest tape is 75 cm