What does 'r' in equation dN/dt = rN (K-N / K) represent?

Read the paragraph given below and answer the question. If a person is born with a hereditary disease, can a corrective therapy be taken for such a disease? Gene therapy is an attempt to do this. Gene therapy is a collection of methods that allows correction of a gene defect that has been diagnosed in a child/embryo. Here genes are inserted into a person's cells and tissues to treat disease.
The first clinical gene therapy was given in to

Match List-I with List-II

List-I (Types of evolution)	List-II (Examples)
(A) Divergent evolution	(I) Moths
(B) Adaptive radiation	(II) Eyes of octopus and mammals
(C) Convergent evolution	(III) Darwin's finches
(D) Industrial melanism	(IV) Thorn of Bougainvillea and tendrils of Cucurbita

Choose the correct answer from the options given below:

Read the following paragraph and answer the given questions.
Cancer detection is based on biopsy and histopathological studies. 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. Do you know why mother's milk is considered very essential for the new-born infant? The yellowish fluid colostrum secreted by mother during the initial days of lactation has abundant antibodies (IgA) to protect the infant. Different species of Plasmodium (P. vivax, P. malaria and P. falciparum) are responsible for different types of malaria. Of these, malignant malaria caused by Plasmodium falciparum is the most serious one and can even be fatal. The exaggerated response of the immune system to certain antigens present in the environment is called allergy. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Drugs like barbiturates, amphetamines, benzodiazepines, and other similar drugs, that are normally used as medicines to help patients cope with mental illnesses like depression and insomnia, are often abused. Morphine is a very effective sedative and painkiller, and is very useful in patients who have undergone surgery.
Which one of the following is not used for detection of cancer?

Read the following passage carefully and answer the given questions.
Productivity in the Ecosystem
The flow of energy through a terrestrial ecosystem starts with the harnessing of sunlight by autotrophs. The radiant energy is converted by photosynthesis to organic compounds is known as productivity. The productivity is expressed in units of energy per unit of area per unit time. The amount of organic matter present at any given time is biomass. The productivity of any ecosystem is affected by many parameters like weather conditions, nutrient availability etc. The productivity of any ecosystem does vary seasonally and yearly.
Identify the correct statement in relation to productivity in an aquatic ecosystem.

Match List-l with List-II

List-I (Disorders)	List-II (Features)
(A) Colour blindness	(I) 45 with 'XO'
(B) Haemophilia	(II) Trisomy of 21\textsuperscript{st} chromosome
(C) Down's Syndrome	(III) Mutation of certain genes on 'X' chromosome
(D) Turner's Syndrome	(IV) Protein involved in clotting of blood

Choose the correct answer from the options given below:

The components of the ecosystem are seen to function as a unit when you consider the following aspects -
(A) Productivity
(B) Decomposition
(C) Energy flow
(D) Nutrient cycling
Choose the correct answer from the options given below :

The component of electromagnetic wave having wavelength range from 1 nm to \(10^{-3}\) nm is:

In a college, 30 % students fail in Physics, 25 % fail in Mathematics and 10 % fail in both. One student is chosen at random. The probability that she fails in Physics if she has failed in Mathematics is

If \(A\) and \(B\) are square matrices of the same order 3 , such that \(\operatorname{det}(A)=3\) and \(A B=3 I\), where \(I\) is an identity matrix of order 3. Then the value of \(\operatorname{det}(B)\) is :

Which of the following is NOT a technique of genetic engineering?

If \(A=\left[\begin{array}{ccc}2 & 3 & 1 \\ 2 & -1 & 0\end{array}\right]\) and \(B^T=\left[\begin{array}{cc}4 & 4 \\ 6 & -2 \\ 2 & 0\end{array}\right]\) then \(4 A+B\) is

Which one of the followings is not a common mechanical barrier method for birth control?