The minimum value of \(f(x)=|2 x-1|\) is

If order of matrix \(A\) is \(m \times p\) and order of matrix \(B\) is \(p \times n\), then what is the order of matrix \(A B\) ?

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

Match (List I) with (List II)

(List I)	(List II)
A. For any vector \(\vec{a}, \vec{a} \times \vec{a}\)	\(I\). \(|\vec{a}|^2\)
B. For any vector \(\vec{a}, \vec{a} \cdot \vec{a}\)	\(II.\) \(0\)
C. If either \(\vec{a}=\overrightarrow{0}\) or \(\vec{b}=\overrightarrow{0}\), then \(\vec{a} \cdot \vec{b}\) is	\(III.\) \(|\vec{a}||\vec{b}|\)
D. If the angle between \(\vec{a}\) and \(\vec{b}\) is \(\theta=0\), then \(\vec{a} \cdot \vec{b}\) is	\(IV.\) \(\overrightarrow{0}\)

Choose the correct answer from the options given below:

\(x\) speaks truth in \(60 \%\) and \(y\) in \(50 \%\) of the cases.
The probability that they contradict each other while narrating the same fact is:

\(f(x)=x^3+p x^2+q x+10\) has a maximum at \(x=-3\) and a minimum at \(x=1\). The values of \(p\) and \(q\) are:

The corner points of the bounded feasible region determined by the system of linear constraints are (0,0), (5,0), (6,5), (6,8), (4,10), (0,8).
Let \(z=3 x-4 y\) be the objective function. Then the minimum value of z occurs at :

Gabriel phthalimide synthesis is used for the preparation of :

The composition of biogas is -

In a diffraction experiment, the screen is placed \( D = 2 \text{ m} \) away from a narrow slit. The first minimum observed is at \( x = 5 \text{ mm} \) on either side of the central maximum for wavelength of \( \lambda = 5 \times 10^{-5} \text{ cm} \). The width of the slit a is:

\(100 \text{ cm}^3\) of \(1\text{M } \text{CH}_3\text{COOH}\) and \(100 \text{cm}^3\) of \(2\text{M } \text{CH}_3\text{OH}\) were mixed to form an ester, which follows Ist order kinetics with respect to both \(\text{CH}_3\text{COOH}\) and \(\text{CH}_3\text{OH}\). The change in their initial rate, if each solution is mixed with equal number of volume of water would be :

If the minimum value of the objective function \(Z=a x+b y\) of an LPP occurs at two points \((3,5)\) and \((5,3)\), then

There are two kinds of nucleases - exonucleases and endonucleases. Exonucleases remove nucleotides from the ends of the DNA whereas, endonucleases make cuts at specific positions within the DNA. The cutting of DNA by restriction endonucleases results in the fragments of DNA. These fragments can be separated by a technique known as gel electrophoresis. Since DNA fragments are negatively charged molecules they can be separated by forcing them to move towards the anode under an electric field through a medium/matrix. Small volume cultures cannot yield appreciable quantities of products. To produce in large quantities, the development of bioreactors, where large volumes (100 - 1000 litres) of culture can be processed, was required. Thus, bioreactors can be thought of as vessels in which raw materials are biologically converted into specific products, individual enzymes, etc., using microbial plant, animal or human cells. PCR stands for Polymerase Chain Reaction. In this reaction, multiple copies of the gene (or DNA) of interest are synthesised in vitro using two sets of primers (small chemically synthesised oligonucleotides that are complementary to the regions of DNA) and the enzyme DNA polymerase.
Which one of the following enzymes remove nucleotides from the ends of the DNA?