If A and B square matrices of order 3 such that |A|= -1, |B|= 5, then the value of |2AB| is:

Value of \(\mu(20)+\sigma(20)\) is (where \(\mu(n)\) is the Mobius function and \(o(n)\) is the sum of all positive divisors of \(n\) )

If \(\left[\begin{array}{ll}1 & 0 \\ b & 5\end{array}\right]+2\left[\begin{array}{cc}a & 0 \\ 1 & -2\end{array}\right]=I\), where \(I\) is the unit matrix of order 2 , then the value of \((a-b)\) is :

Given that the lines: \(\frac{x-1}{2}=\frac{y+2}{3}=\frac{z}{5}\) and \(\frac{x+2}{1}=\frac{y-1}{2}=\frac{z-\alpha}{2}\) are coplanar. Then the value of \(\alpha\) is:

In context of Alligation and mixture the ratio of quantity of cheaper ingredient to the quantity of dearer ingredient =

If A is a skew-symmetric matrix of order 5 , then \(|a d j A|\) is equal to

The area of the region bounded by the curves \(x^2 = 4y\), the line \(x = 3\) and x axis is:

Which of the following particles/rays is emitted in a radioactive decay in which neither the atomic number nor the mass number changes?

A white light falls on a prism. Among given choices which light bends the least?

Identify A, B, and C in the following reaction:

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.
mRNA silencing through RNA interference (RNAi) refers to the:

At certain places on earth, the angle of dip is \( 30^\circ \). If horizontal component of earth's magnetic field is H, then the total intensity of earth's magnetic field will be :

A man rows 24 km upstream in 6 hours and 36 km downstream in 6 hours each time, then the speed of the boat in the still water is