Consider the following data:

Year(x)	2010	2011	2012	2013	2014
Sale(in crore Rs.)(y)	9	18	21	29	38

A straight line trend by the method of least squares is:

If the matrix \(\left[\begin{array}{ccc}3 & 2 a & -5 \\ 4 & 0 & b \\ -5 & 3 & 10\end{array}\right]\) is symmetric, then the value of \(5 a+2 b\) is :

The corner points of the feasible region with the constraints \(x+y \leq 30, x+y \geq 15, y \leq 20, x \leq 15\), and \(x, y \geq 0\) are

If \(x, y\) and \(z\) are real numbers such that \(x+y+z=0\), then the value of \(\left|\begin{array}{ccc} 3 x & -x+y & -x+z \\ x-y & 3 y & z-y \\ x-z & y-z & 3 z \end{array}\right| \) is

Mohini purchases a house worth Rs. 50 lakhs and makes a down payment of Rs. 11.2 lakhs. She pays the remaining amount on monthly EMI using a reducing balance method. The bank charges 6% per annum compounded monthly for a tenure of 25 years.
Her EMI is:
[Given: \((1.005)^{-300}\) ≈ 0.224]

From the below-mentioned graph of shaded feasible region of a linear programming problem (LPP) with objective function
\(z=1.50 x+1.00 y\), the maximum value of \(z\) will be;-

The function \(f(x)=\frac{x}{2}+\frac{2}{x}, x \neq 0\) is increasing on :
(A) \((-\infty,-2)\)
(B) \((-2,2)\)
(C) \((2, \infty)\)
(D) \((-1,1)\)
Choose the correct answer from the options given below :

Which of the following amine do not respond to Hinsberg test?

Arrange the following oxides in decreasing order of oxidation state of the metal ion.
(A) Cu\(_2\)\(\mathrm{O}\)
(B) CrO\(_3\)
(C) Mn\(_2\)\(\mathrm{O}_7\)
(D) V\(_2\)\(\mathrm{O}_5\)
Choose the correct answer from the options given below:

Termination of protein synthesis occurs by binding of release factors to

Secondary productivity is :

The energy of a photon is equal to the kinetic energy of a proton. The energy of the photon is E. Let \(\lambda_1\) be the de-Broglie wavelength of the proton and \(\lambda_2\) be the wavelength of the photon. The ratio \(\lambda_1/\lambda_2\) is proportional to the following

Answer the question on basis of passage given below :
Transition metals form a large number of complexes or coordination compounds in which the metal atoms are bound to a number of anions or neutral molecules. The valence bond theory explain the formation, magnetic behaviour and geometrical shapes while the crystal field theory explains the effect of different crystal fields on the degeneracy of d-orbitals energies of the central metal atom/ion. This provides for the quantitative estimation of orbital separation energies, magnetic moments and spectral and stability parameters.
Amongst the following ions which should have the highest magnetic moment value?