DNA fragments can be separated by a technique known as:

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 microorganisms in a sample of water and thus, indirectly, BOD is a measure of the organic matter present in the water.
During anaerobic sludge digestion, bacteria produce the biogas. The composition of this biogas is -

Observe the diagram and answer the following questions:

Due to decrease in the number of helper T cells the AIDS patient become.

Nicotine stimulates the adrenal gland to release:
(A) Thyroid stimulating hormone (TSH)
(B) Adrenaline
(C) Estrogen
(D) Nor-adrenaline
Choose the correct answer from the options given below:

\((p+q)^2=p^2+2 p q+q^2=1\) represents Hardy Weinberg equation. It is used in:

Match List-l with List-II:

List-I (Concepts)	List-II (Explanation)
(A) Standing state	(I) Available biomass for the consumption of heterotrophs
(B) Secondary productivity	(II) Rate of formation of organic matter by consumers
(C) Standing crop	(III) Mass of living matter in a trophic level at a given time
(D) Net primary productivity	(IV) Amount of mineral nutrients in the soil at a given time

Choose the correct answer from the options given below:

The large holes in 'Swiss Cheese' are due to the production of a large amount of CO2 by a bacterium named as

The area of the parallelogram of which \(\hat{i}\) and \(\hat{i}+\hat{j}\) are adjacent sides is :

For an objective function \(z=a x+b y\) where \(a, b>0\).
The corner points of feasible region determined by a set of constraints are \((0,20),(10,10),(30,30),(0,40)\).
The condition on \(a\) and \(b\) such that max \(z\) occurs at both the points \((30,30)\) and \((0,40)\) is:

Arrange the following electrolytes in the increasing order of van't Hoff factor (i) for complete dissociation of solute.
(A) \([\text{Co}(\text{NH}_3)_6]\text{Cl}_3\)
(B) \(\text{MgCl}_2\)
(C) \(\text{K}_4[\text{Fe}(\text{CN})_6]\)
(D) \(\text{KCl}\)
Choose the correct answer from the options given below:

Consider the function \(f(x)=\sin x\) in the interval \([\pi, 2 \pi]\), then which of the following statements are correct?
(A) \(x=\frac{3 \pi}{2}\) is its stationary point.
(B) Its maximum value is 1
(C) Its minimum value is -1
(D) It attains its maximum value at \(\pi\) and \(2 \pi\)
Choose the correct answer from the options given below:

If the potential difference across a capacitor is changed from 12 V to 24 V, the work done is W. How much work will be done if the potential difference is changed from 24 V to 48 V?

RNA polymerase III is responsible for transcription of -