Aerobic bacteria play a vital role in wastewater management.
The correct statement is: Activated sludge in sediment tanks is a rich source of aerobic bacteria.
(A) Methanobacterium - Incorrect: These are strictly anaerobic archaea in cattle rumen.
(B) Biogas production - Incorrect: Biogas forms through anaerobic digestion, not aerobic processes.
(C) Biogas composition - Incorrect: Biogas contains ~60% methane plus CO2 and traces of other gases.
(D) Activated sludge - Correct: This sewage treatment component contains aerobic bacteria that digest organic matter.
The correct answer is (D), as activated sludge systems rely on aerobic microbial communities.
Methanobacterium is a genus of aerobic bacteria involved in the production of biogas in environments like the rumen of cattle. Biogas mainly consists of methane (CH4), which is produced by the anaerobic digestion of organic matter.
Methanobacterium is indeed an aerobic bacterium, but its primary role is in the production of methane through anaerobic processes, not aerobic.
Option (D) is correct because biogas is primarily composed of methane.
Match the LIST-I with LIST-II.
\[
\begin{array}{|l|l|}
\hline
\textbf{LIST I (Pathogen)} & \textbf{LIST II (Detection methods)} \\
\hline
A. \ \text{Legionella} & I. \ \text{Enzyme-linked immunosorbent assay (ELISA) or EIA for detection of P-24} \\
B. \ \text{HIV} & II. \ \text{Cartridge based nucleic acid amplification test (CBNAAT) Gene Xpert} \\
C. \ \text{Mycobacterium} & III. \ \text{Urinary antigen test} \\
D. \ \text{Salmonella typhi} & IV. \ \text{Widal test for antibody against both O and H antigens} \\
\hline
\end{array}
\]
Match the following:
In the following, \( [x] \) denotes the greatest integer less than or equal to \( x \). 
Choose the correct answer from the options given below:
For x < 0:
f(x) = ex + ax
For x ≥ 0:
f(x) = b(x - 1)2