The hormone releasing Intra Uterine Device is:

The polluting potential of waste water is determined by:

Arrange the given steps of decomposition cycle in a terrestrial ecosystem in correct sequence?
(A) Bacterial and fungal enzymes degrade detritus into simpler a inorganic substances and its catabolism.
(B) Earthworms break-down detritus into smaller particles and is called fragmentation.
(C) Leaching - water soluble inorganic nutrients go down into the soil horizon.
(D) Microbes release inorganic nutrients in the soil and it is called mineralisation.
Choose the correct answer from the options given below:

Arrange the steps involved in creating pest-resistant transgenic plants using RNA interference (RNAi).
(A) Binding of complementary RNAs to form double-stranded RNA (dsRNA).
(B) Formation of sense and antisense RNA in the host cells.
(C) Silencing of specific mRNA of the nematode.
(D) Introduction of nematode-specific genes into the host plant using Agrobacterium vectors.
Choose the correct answer from the options given below:

Read the following passage carefully and answer the given questions.
During anaerobic sludge digestion, bacteria produce a mixture of gases such as methane, hydrogen sulphide and carbon dioxide. These gases form biogas and can be used as source of energy as it is inflammable. The bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. You must have noticed that bottled fruit juices bought from the market are clearer as compared to those made at home. This is because the bottled juices are clarified by the use of pectinases and proteases. Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by competitively inhibiting the enzyme responsible for synthesis of cholesterol. The BOD test measures the rate of uptake of oxygen by micro-organisms in a sample of water and thus, indirectly, BOD is a measure of the organic matter present in the water.
Statins, used as blood-cholesterol lowering agents are produced by -

Which of the following are the salient features of Human Genome project?
(A) The average gene consists of 3000 bases, but sizes vary greatly.
(B) Chromosome 1 has most genes (2968), and the Y has the fewest (231).
(C) The total number of genes is estimated at 30,000- much lower than previous estimates of 80,000 to 1,40,000 genes.
(D) Repetitive sequences are stretches of DNA sequences that are repeated many times, sometimes hundred to thousand times.
Choose the correct answer from the options given below:

Find the odd one out with reference to terrestrial ecosystem:

In a circuit, resistance \( R_1 \) is connected in series with the parallel combination of resistances \( R_2 \) and \( R_3 \). The currents passing through the resistances \( R_1, R_2 \) and \( R_3 \) are \( I_1, I_2 \) and \( I_3 \), respectively. What will be the ratio \( \frac{I_3}{I_1} \) of currents in terms of the resistances connected in the circuit?

For which value of \(k\), inverse does not exist for the matrix\(
\left[\begin{array}{ll}
1 & 2 \\
k & 6
\end{array}\right]
\)

The wavelength of matter wave is independent of :

In Young's double slit experiment using monochromatic light of wavelength \(\lambda\), the intensity of light at a point on the screen where path difference is \(\lambda\), is 'T' units. What is the intensity of light at a point where path difference is \(\frac{\lambda}{4}\) ?

Identify the genetic disorder in which affected individual has a furrowed tongue, retarded mental development and broad palm?

If \(y=\sin ^{-1} x+\sin ^{-1} \sqrt{1-x^2}, x \in(-1,0)\), then \(\frac{d y}{d x}\) is equal to