Spermiation is the process of releasing mature sperms from :

Which one of the following events does not occur during gene regulation in eukaryotes?

Match List-I with List-II

List-I (Hormones)	List-II (Locations/Functions)
(A) hCG	(I) Released in the later phase of pregnancy
(B) LH Surge	(II) Uterine contractions
(C) Oxytocin	(III) Placenta
(D) Relaxin	(IV) Ovulation

Choose the correct answer from the options given below:

In plants, continued self pollination results in

The Abingdon tortoise became extinct in Galapagos islands due to introduction of which of the following animal?

Which of the following is not a nitrogen fixing micro organism?

Read the following passage carefully and answer the given questions.
Some strains of Bacillus thuringiensis produce proteins that kill certain insects such as lepidopterans (tobacco budworm, armyworm), coleopterans (beetles) and dipterans (flies, mosquitoes). B. thuringiensis forms protein crystals during a particular phase of their growth. Transgenic animals that produce useful biological products can be created by the introduction of the portion of DNA (or genes) which codes for a particular product such as human protein (a-1-antitrypsin) used to treat emphysema. In 1997, the first transgenic cow, Rosie, produced human protein-enriched milk (2.4 grams per litre). The milk contained the human alpha-lactalbumin and was nutritionally a more balanced product for human babies than natural cow-milk. A nematode Meloidegyne incognitia infects the roots of tobacco plants and causes a great reduction in yield. A novel strategy was adopted to prevent this infestation which was based on the process of RNA interference (RNAi). This method involves silencing of a specific mRNA due to a complementary dsRNA molecule that binds to and prevents translation of the mRNA (silencing). Biopiracy is the term used to refer to the use of bio-resources by multinational companies and other organisations without proper authorisation from the countries and people concerned without compensatory payment. ELISA is based on the principle of antigen-antibody interaction. Infection by pathogen can be detected by the presence of antigens (proteins, glycoproteins, etc.) or by detecting the antibodies synthesised against the pathogen.
ELISA is based on the principle of:

match List - I with List - II

List - I (Differential Equation)	List - II (Degree)
(A) \(x y \frac{d^2 y}{d x^2}+x\left(\frac{d y}{d x}\right)^2-y \frac{d y}{d x}=0\)	(I) 3
(B) \(\frac{d^2 y}{d x^2}+\log \left(\frac{d y}{d x}\right)=0\)	(II) 1
(C) \(\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)^3+\frac{d y}{d x}+1=0\)	(III) not defined
(D) \(2 x^2\left(\frac{d^2 y}{d x^2}\right)^3-5\left(\frac{d y}{d x}\right)^2+y=0\)	(IV) 2

Choose the correct answert from the option given below :

The straight line \(\frac{x+3}{3}=\frac{y+2}{4}=\frac{z+1}{0}\) is

The feasible region represented by the constraints \(x+y \leq 50,3 x+y \leq 90, x \geq 0, y \geq 0\) of an LPP is

The number of all onto functions from the set \(\{1,2, \ldots, n\}\) to itself is

If the matrix \(\left[\begin{array}{ccc}2 & -1 & 3 \\ \lambda & 0 & 7 \\ -1 & 1 & 4\end{array}\right]\) is not invertible, then the value of \(\lambda\) is :

A sample of HCl gas is placed in an electric field of \(3 \times 10^4 \mathrm{~N} \mathrm{C}^{-1}\). The dipole moment of each HCl molecule is \(6 \times 10^{-30} \mathrm{C} \mathrm{m}\). The maximum torque that can act on this molecule is :