Read the passage carefully and answer the questions based on the passage:
Species diversity on earth is not uniformly distributed. It is generally highest in the tropics and decreases towards the poles. Earth's fossil history reveals the incidences of mass extinctions in the past. Earth's rich biodiversity is vital for the very survival of mankind. It is believed that communities with high diversity tend to be less variable and more productive. The reasons of conserving biodiversity are narrowly utilitarian, broadly utilitarian and ethical. Biodiversity conservation may be in-situ as well as ex-situ.
Which of the following hot spots does not cover India's biodiversity regions?

Identify the contraceptive measure which can not be practiced by human females:

Read the paragraph and answer the question.
Broadly, genetic disorders may be grouped into two categories - Mendelian disorders and Chromosomal disorders. Mendelian disorders are mainly determined by alteration or mutation in the single gene. These disorders are transmitted to the offspring on the same lines as we have studied in the principle of inheritance. The trait may also be linked to the sex chromosome as in case of haemophilia. It is evident that this X-linked recessive trait shows transmission from carrier female of male progeny.
The disease which is transmitted to the offsprings following the principles of inheritance is :

The basic steps involved in the genetic modification of an organism inlcude -
(A) Identification of DNA with desirable genes
(B) Production and clinical trial of drugs
(C) Introduction of the identified DNA into the host
(D) Maintenance of introduced DNA in the host and transfer of the DNA to its progeny
Choose the most appropriate combination from the options given below.

Which of the following is TRUE for gel electrophoresis ?

Skin colour in human being is an example of:

Which of the following statements are not correct?
(A) The milk produced during the initial few days of lactation is called colostrum which contain several antibodies
(B) The signals for the parturition originate from the pituitary gland of the mother
(C) Parturition is induced by a complex neuroendocrine mechanism
(D) Oxytocin is released from the ovary of mother and acts on the uterine muscles
Choose the correct answer from the options given below:

Read the passage carefully and answer the questions:
The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the octahedral complez to yield three orbitals of lower energy, \(t_{2 g}\) set and two orbitals of higher energy, \(e_g\) set. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting and the energy separation is denoted by \(\Delta_0\). Thus energy of the two \(e_g\) orbitals will increase by \((3 / 5) \Delta_{\circ}\) and that of three \(t_{2 g}\) will decrease by \((2 / 5) \Delta_0\). The crystal field splitting \(\Delta_0\) depends upon the field produced by the ligand and charge on the metal ion. Some ligands are able to produce strong fields, in which case the splitting will be large, whereas others produce weak fields and consequently result in small splitting of \(d\) orbitals. Relative magnitude of crystal field splitting energy \(\Delta_{\circ}\) and pairing energy, \(P\) (energy required for electron pairing in a single orbital) determine the formation of low spin ( \(\Delta_0>P\) ) or high spin ( \(\Delta_0<P\) ) complex. In tetrahedral coordination entity formation, the \(d\)-orbital splitting is inverted and is smaller as compared to the octahedral field splitting. The crystal field theory attributes the colour of the complex to \(d-d\) transition of the electron. The colour of the coordination compounds depends on the crystal field splitting. In the absence of ligand, crystal field splitting does not occur and hence the substance is colourless.
Choose the correct statement from the following:

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) \({ }^{1 / 5}=1.098\) ]

Glucose does not react with:

A uniform metallic wire of resistance \(4 \Omega\) is bent to form a circle. What is the effective resistance between the end of its diameter?

By using the determinants the area of the triangle with vertices \((0,0),(0,1)\) and \((1,0)\) is :

If \(|\vec{a}|=3\) and \(|\vec{b}|=4\), then a value of \(\lambda\) for which \(\vec{a}+\lambda \vec{b}\) and \(\vec{a}-\lambda \vec{b}\) are perpendicular is :