For a \(3 \times 3\) matrix \(A\), if \(A(\operatorname{adj} A)=\left[\begin{array}{ccc}99 & 0 & 0 \\ 0 & 99 & 0 \\ 0 & 0 & 99\end{array}\right]\) then \(\operatorname{det}(A)\) is equal to:

The slope of the normal to the curve \(y=x^3-4 \sin x\) at \(x=0\) 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 AB ?

If \(|\vec{a}|=7\) then \(|3 \vec{a}|\) is:

The probability distribution of a random variable \(X\) is given by
\(\begin{array}{lcllll}x & 0 & 1 & 2 & 3 & 4 \\ p(x) & 0.1 & k & 2 k & 2 k & k \end{array} \)
The value of \(k\) is:

Which of the following is a vertex of the positive region bounded by the inequalities:
\(4 x+y \geq 80 ; \quad 2 x+y \geq 60 ; \quad x, y \geq 0\)

500 g of jaggery syrup has 30% jaggery in it.
The quantity of jaggery that should be added to make it 50% of syrup is:

If \(\alpha, \beta\) and \(\gamma\) are angle of inclinations of a line with \(x, y\) and \(z\) ares respectively, then the value of \(2(\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma)\) is

The standard electrode potential for a Daniell cell is 1.1 V. Calculate the standard Gibbs energy for the reactiction
\(Zn ( s )+ Cu ^{2+}( aq ) \rightarrow Zn ^{2Solution+}( aq )+ Cu ( s )\)

The energy required to remove an electron from the inner most orbit of the hydrogen atom to a distance far away from its nucleus is

Arrange the following events of the menstrual cycle in the correct
sequence:
(A) The rising level of FSH stimulates the growth of the ovarian follicle and
secretion of estrogen.
(B) The corpus luteum secretes progesterone to maintain the endometrium.
(C) The rapid secretion of LH leads to the rupturing of the Graafian follicle.
(D) The release of unfertilized secondary oocyte leads to the menstrual
cycle.
Choose the correct answer from the options given below:

Arrange the steps of DNA Fingerprinting in a correct sequence:
(A) Digestion of DNA by restriction endonucleases
(B) Hybridisation using labelled VNTR probe and detection of hybridized DNA by autoradiography
(C) Isolation of DNA
(D) Separation of DNA fragments by electrophoresis and blotting
Choose the correct answer from the options given below:

Read the passage carefully and answer the questions.
Amines are considered to be derivatives of ammonia obtained by replacement of hydrogen atoms with alkyl or aryl groups. They are usually prepared from nitro compounds, halides, amides, imides etc. The presence of hydrogen bonding influences its physical properties. In alkylamines, a combination of electron releasing steric and hydrogen bonding factors influences the stability of substituted ammonium cations in protic polar solvents and thus affects the basic nature of amines. Alkyl amines are found to be stronger bases than ammonia which is more basic than water. Primary and secondary amines are engaged in intermolecular association due to hydrogen bonding. This intermolecular association is more in primary amines than in secondary amines. Tertiary amines do not have intermoleulcar association due to the absenceof hydrogen atom available for hydrogen bonding. Thus, the boiling point of amines depends on hydrogen bonding. In aromatic amines, electron releasing and withdrawing groups increase and decrease their basic character. Aryl diazonium salts usually obtained from arylamine undergo replacement of the diazonium group with a variety of nucleophile. Their coupling reaction of aryl diazonium salts with phenol or arylamine results in formation of dyes.
Which of the following compounds will not undergo azo coupling with benzene diazonium chloride?