Match the following List - I with List II of bioactive substance and their role:

List - I (Bioactive Substance)	List - II (Role)
(A) Statin	(I) Removal of oil stains
(B) Cyclosporin A	(II) Removal of clots from blood vessels
(C) Streptokinase	(III) Lowering of blood cholesterol
(D) Lipase	(IV) Immuno-suppressive agent

Choose the correct answer from the options given below:

The rate of biomass production is called productivity and it is expressed in terms of __________ to compare the productivity of different ecosystems.

Match List-I with List-II

List-I (Terms)	List-II (Explanations)
(A) Natality	(I) Exit of individuals
(B) Mortality	(II) Entry of individuals
(C) Immigration	(III) Death rate
(D) Emigration	(IV) Birth rate

Choose the correct answer from the options given below:

A single stranded DNA or RNA tagged with a radioactive probe is allowed to hybridize to its complementary DNA in a clone of cells followed by detection using __________.

Read the following passage carefully and answer the given questions.
Immune System in the Body
The human immune system consists of lymphoid organs, tissues, cells and soluble molecules like antibodies. The primary lymphoid organs are bone marrow and thymus where immature lymphocytes differentiate into antigen-sensitive lymphocytes. After maturation the lymphocytes migrate to secondary lymphoid organs like spleen, lymph nodes, tonsils, Peyer's patches of small intestine and appendix. The secondary lymphoid organs provide the sites for interaction of lymphocytes with the antigen, which then proliferate to become effector cells. The bone marrow is the main lymphoid organ where all blood cells including lymphocytes are produced. Each antibody molecule has four peptide chains, two small called light chains and two longer called heavy chains. Hence, an antibody is represented as H2L2. Different types of antibodies are produced in our body. IgA, IgM, IgE, IgG are some of them. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs.
An antibody is represented as -

Read the following passage carefully and answer the given questions.
Restriction endonuclease on finding its specific recognition sequence, bind to the DNA and cut each of the two strands of the double helix at specific points in their sugar -phosphate backbones. Each restriction endonuclease recognises a specific palindromic nucleotide sequences in the DNA. Since the DNA is enclosed within the membranes, we have to break the cell open to release DNA along with other macromolecules such as RNA, proteins, polysaccharides and also lipids. This can be achieved by treating the bacterial cells/plant or animal tissue with enzymes such as lysozyme (bacteria), cellulase (plant cells), chitinase (fungus). Now a days the most commonly used matrix is agarose which is a natural polymer extracted from sea weeds. The DNA fragments separate (resolve) according to their size through sieving effect provided by the agarose gel. The first restriction endonuclease-Hind II, whose functioning depended on a specific DNA nucleotide sequence was isolated and characterised five years later. It was found that Hind II always cut DNA molecules at a particular point by recognising a specific sequence of six base pairs. In addition to 'ori', the vector requires a selectable marker, which helps in identifying and eliminating non-transformants and selectively permitting the growth of the transformants. Transformation is a procedure through which a piece of DNA is introduced in a host bacterium. Normally, the genes encoding resistance to antibiotics such as ampicillin, chloramphenicol, tetracycline or kanamycin, etc., are considered useful selectable markers for E. coli
Hind II always cut DNA molecules at a particular point by identifying a specific sequence of six base pairs. This specific base sequence is called _______ for Hind II.

A woman has given birth to fraternal twin daughters. How many ovum/ova would have been released by the ovary?

For the given linear programming problem \(z=a x+b y, a, b>0\) subject to the constraint
\(2 x+y \leq 10, x+3 y \leq 15, x, y \geq 0\). If the corner points are \((0,0),(5,0),(3,4)\) and \((0,5)\) and \(z\) is maximum at both \((3,4)\) and \((0,5)\), then the relationship between \(a\) and \(b\) is

Let \(A=\left[a_{i j}\right]\) be a square matrix of order 2 with elements either 0 or 1 . Then the difference between the possible number of singular and non-singular matrices is

The nuclear force is a short range force, this can be explained by fact that the binding energy per nucleon versus mass number curve:

The function \(f(x)=x^3, x \in R\), has:

Mr. Mittal invested Rs. 20, 000 in a mutual fund in the year 2019.
The value of the mutual fund increased to Rs. 32, 000 in the year 2024. The compound annual growth rate (CAGR) of his investment is :
[Given (1.6) \({ }^{1 / 5}=1.098\) ]

Which one is not a barrier method for birth control?