Which one of the following plays an important role in guiding the entry of pollen tube into the synergid?

The presence of additional copy of X chromosome in humans lead to

Read the given paragraph carefully and answer the following questions:
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). There are some basic steps in genetically modifying an organism (i) identification of DNA with desirable genes; (ii) introduction of the identified DNA into the host; (iii) maintenance of introduced DNA in the host and transfer of the DNA to its progeny. Agrobacterium tumifaciens, a pathogen of several dicot plants is able to deliver a piece of DNA known as 'T-DNA' to transform normal plant cells into a tumor and direct these tumor cells to produce the chemicals required by the pathogen. Other molecules can be removed by appropriate treatments and purified DNA ultimately precipitates out after the addition of chilled ethanol. Selection of recombinants due to inactivation of antibiotics is a cumbersome procedure because it requires simultaneous plating on two plates having different antibiotics. Therefore, alternative selectable markers have been developed which differentiate recombinants from non-recombinants on the basis of their ability to produce colour in the presence of a chromogenic substrate. In this, a recombinant DNA is inserted within the coding sequence of an enzyme, ß-galactosidase. This results into inactivation of the gene for synthesis of this enzyme, which is referred to as insertional inactivation.
The purified DNA ultimately precipitates after the addition of:

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

The first clinical gene therapy was given to treat :

Match List-I with List-II

List-I	List-II
Evolutionary stages of human species	Time of origin
(A) Ramapithecus	(I) About 1.5 million years ago
(B) Australopithecines	(II) About 15 million years ago
(C) Homo erectus	(III) Between 100,000 - 40,000 years ago
(D) Neanderthal man	(IV) Two million years ago

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Which one of the following techniques is most appropriate where the female cannot produce an ovum but can provide the environment for the development of embryo?

The corner points of the bounded feasible region for an LPP are (0, 20), (3, 12), (6,8), (0, 15).
The objective function is \(Z=a x+\beta y\), where \(a, \beta>0\).
If the maximum of Z occurs at the corner points (3, 12) and (6,8), then the relationship between \(a\) and \(\beta\) is:

A cone, whose height is always equal to its diameter, is increasing in volume at the rate of \(40 cm^3 / sec\). The rate at which radius is increasing when circular base area is \(1 m^2\) is :

Arrange the following compounds in increasing order of reactivity towards Nucleophilic Substitution Reaction
(A) Chlorobenzene
(B) 4- Nitrochlorobenzene
(C) 2,4 - Dinitrochlorobenzene
(D) 2,4,6-Trinitrochloronitrobenzene
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When a light of wavelength 150 nm is incident on silver surface a potential of 3.58 V is required to stop the photoelectrons from reaching the collector plate. Find the potential required to stop photoelectrons when a light of wavelength 200 nm is incident on it ?
(Work function of silver is 4.7 eV)

At what rate of interest will the present value of a perpetuity of Rs. 1000 payable at the end of every six months be Rs. 40000 ?

Match the complexes given in List-I with their properties given in List-II

List-I (Complex)	List-II (Property)
(A) \(\left[{FeF}_6\right]^{3-}\)	(I) \(d^6\), high spin
(B) \(\left[{CoF}_6\right]^{3-}\)	(II) \(d^5\), high spin
(C) \(\left[{Mn}({CN})_6\right]^{3-}\)	(III) \(d^6\), low spin
(D) \(\left[{Co}({CN})_6\right]^{3-}\)	(IV) \(d^4\), low spin

Choose the correct answer from the options given below: