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

Acquired immunity is characterised by memory. Identify the sequence in which it happens :
(A) Subsequent encounter of the body with same pathogen
(B) Primary response is produced when the body encounter pathogens for the first time
(C) T-lymphocytes help B-lymphocytes to produce an army of proteins
(D) Body exhibits highly intensified anamnestic response
Choose the correct answer from the options given below:

The two alleles of a gene pair are located on -

The first clinical gene therapy was given in 1990 to a 4-year-old girl with ___________ .

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.
Baculoviruses are -

Which one of the following sex determination systems is found in honey
bee?

Arrange the given stages involved in embryo development in a dicot angiosperm in correct sequence
(A) Globular embryo
(B) Proembryo
(C) Zygote
(D) Heart shaped embryo
Choose the correct answer from the options given below:

The excessive use of herbicides, pesticides etc. has resulted in selection of resistant varieties. It is an example of evolution by:

A 0.5 M aqueous \(\mathrm{H}_2 \mathrm{SO}_4\) solution is diluted from 2 litres to 20 litres. The concentration of the resulting solution will be

The integral \(\int \frac{2 d x}{e^{2 x}-1}\) is equal to:

Humification leads to :

Consider the differential equation \(\frac{d y}{d x}+y \tan x=\sec x\), then which of the following statements are correct?
(A) It is homogeneous
(B) It has \(\sec x\) as its integrating factor
(C) Its general solution is \(y \sec x=\tan x+c\), where \(c\) is an arbitrary constant.
(D) Its degree is not defined
Choose the correct answer from the options given below :

Which of the following functions has a local minima at \(x=0\) ?
(A) \(f(x)=x^3\)
(B) \(f(x)=|x|\)
(C) \(f(x)=x^2\)
(D) \(f(x)=x^{-2}\)
Choose the correct answer from the options given below :