Let the number of huts at the beginning of 2001 be x.
year |
Inital Number of Huts |
Number of Huts Destroyed |
Number of Huts Rebuilt |
Total number of huts After Rebuilt |
2001 |
x |
$\frac{x}{2}$ |
x |
$\frac{3x}{2}$ |
2002 |
$\frac{3x}{2}$ |
$\frac{3x}{4}$ |
$\frac{3x}{2}$ |
$\frac{9x}{4}$ |
2003 |
$\frac{9x}{4}$ |
$\frac{9x}{8}$ |
$\frac{9x}{4}$ |
$\frac{27x}{8}$ |
2004 |
$\frac{27x}{8}$ |
$\frac{27x}{16}$ |
$\frac{27x}{8}$ |
$\frac{81x}{16}$ |
A.False $\frac{27x}{16}$ > x
B.False $\frac{27x}{16}$ > $\frac{x}{2}$ + $\frac{9x}{8}$ = $\frac{27x}{16}$ >$\frac{13x}{8}$
C.True $\frac{27x}{16}$ < $\frac{3x}{4}$ + $\frac{9x}{8}$ = $\frac{27x}{16}$ < $\frac{15x}{8}$
D.False $\frac{27x}{16}$ < x+ $\frac{3x}{2}$ =$\frac{27x}{16}$ < $\frac{5x}{2}$
Hence,Option(C)Less than the total number of huts destroyed by floods in 2002 and 2003.