Which one of the following statements is incorrect about ecological
pyramids?

Read the following passage carefully and answer the given questions.
Bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. 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. Baculoviruses are pathogens that attack insects and other arthropods. The majority of baculoviruses used as biological control agents are in the genus Nucleopolyhedrovirus. These viruses are excellent candidates for species-specific, narrow spectrum insecticidal applications. They have been shown to have no negative impacts on plants, mammals, birds, fish or even on non-target insects. BOD refers to the amount of the oxygen that would be consumed if all the organic matter in one liter of water were oxidised by bacteria. The sewage water is treated till the BOD is reduced. Cheese, is one of the oldest food items in which microbes were used. Different varieties of cheese are known by their characteristic texture, flavour and taste. For example, the large holes in 'Swiss cheese' are due to production of a large amount of CO₂ by a bacterium named Propionibacterium sharmanii.
Propionibacterium sharmanii is used for the production of-

Hepatitis B vaccine is produced from:

Human protein, a-1-antitrypsin is used for the treatment of-

Which one of the following is an example of co-evolution?

Read the passage carefully and answer the questions based on the passage:
Pollen pistil interaction involves all events from the landing of pollen grains on the stigma until the pollen tube enters the embryo sac (when the pollen is compatible). When a pollen tube grows through the style and enters into the ovules, it finally discharges two male gametes in one of the synergids. Syngamy and triple fusion are two fusion events occur in angiosperms. Thus, angiosperms exhibit double fertilization. The products of these fusions are the diploid zygote and triploid primary endosperm nucleus. Zygote develops into embryo and primary endosperm cell forms the endosperm tissue. The developing embryo passes through different stages before maturation.
With reference to reproduction in flowering plants, which one of the following is incorrect?

The females of the following mammals exhibit a menstrual cycle.

A small signal voltage \(e=e_o\) sin wt is applied across an ideal capacitor of capacitance C. The correct statement is:

The power of a biconvex lens is 12 D and the radius of curvature of each surface is 10 cm. The refractive index of the material of the lens is

\(y=a \cos x+b \sin x\) where \(a, b\) are arbitrary constants is a solution of the differential equation:

A shopkeeper has 300 Kg millet, a part of which he sells at \(10 \%\) profit. The remaining quantity of millet was of poor quality, and he sold it at a \(5\%\) loss. In the whole transaction, he made a profit of \(7 \%\). The quantity of the millet sold at \(5\%\) loss is :

Arrange the following in the decreasing order of basic strength in aqueous solution :
(A) \(CH_3NH_2\)
(B) \((CH_3)_3N\)
(C) \((CH_3)_2NH\)
(D) \(NH_3\)
(E) \(C_6H_5NH_2\)
Choose the correct answer from the options given below :

If \(\cos ^{-1} \sqrt{3} x+\cos ^{-1} x=\frac{\pi}{2}\), then the value of \(x\) is :