List of top Questions asked in MET

If \(\tan(\sec^{-1}x) = \sin\left(\cos^{-1}\frac{1}{\sqrt{5}}\right)\), then \(x\) is equal to

If there is a term containing \(x^{2r}\) in \(\left(x + \frac{1}{x^2}\right)^{n-3}\), then

Let \(X\) denotes the number of times heads occur in \(n\) tosses of a fair coin. If \(P(X=4)\), \(P(X=5)\) and \(P(X=6)\) are in AP, then the value of \(n\) is

If \(\omega\) is an imaginary cube root of unity, then the value of \((1+\omega)(1+\omega^2)(1+\omega^3)(1+\omega^4)(1+\omega^5)..........(1+\omega^{3n})\) is

If \(f(x) = x e^{x(1-x)}\), then \(f(x)\) is

The mean deviation from the mean of the series \(a, a+d, a+2d, .........., a+2nd\), is

The value of \(c\) prescribed by Lagrange's mean value theorem, when \(f(x) = \sqrt{x^2 - 4}\), \(a = 2\) and \(b = 3\), is

\((\mathbf{a} \cdot \hat{\mathbf{i}})(\mathbf{a} \times \hat{\mathbf{i}}) + (\mathbf{a} \cdot \hat{\mathbf{j}})(\mathbf{a} \times \hat{\mathbf{j}}) + (\mathbf{a} \cdot \hat{\mathbf{k}})(\mathbf{a} \times \hat{\mathbf{k}})\) is equal to

If \(A = \{(x,y): x^2 + y^2 = 25\}\) and \(B = \{(x,y): x^2 + 9y^2 = 144\}\); then \(A \cap B\) contains

The product of the reaction is:

I\(_2\) dissolves in KI solution due to formation of

The following reaction is an example of ... reaction.
\(\mathrm{C_2H_4Br_2 \xrightarrow{Alc.\ KOH} C_2H_2}\)

\(2.76\mathrm{g}\) of silver carbonate on being strongly heated yields a residue weighing

The ground state term symbol for an electronic state is governed by

Which of the following has largest ionic radius?

The isoelectronic pair is

Enthalpy is equal to

\(9.2\mathrm{g}\ \mathrm{N}_2\mathrm{O}_4\) is heated in 1L vessel till equilibrium state is established.
\(\mathrm{N}_2\mathrm{O}_4(\mathrm{g})\rightleftharpoons 2\mathrm{NO}_2(\mathrm{g})\)
In equilibrium state, \(50%\ \mathrm{N}_2\mathrm{O}_4\) was dissociated, equilibrium constant will be (molecular wt. of \(\mathrm{N}_2\mathrm{O}_4 = 92\))

In CsCl type structure, the coordination number of \(\mathrm{Cs}^{+}\) and \(\mathrm{Cl}^{-}\) respectively are

Calculate the molal depression constant of a solvent which has freezing point \(16.6^{\circ}\mathrm{C}\) and latent heat of fusion \(180.75\mathrm{J / g}\).

How long (in hours) must a current of 5.0 A be maintained to electroplate 60 g of calcium from molten \(\mathrm{CaCl}_2\)?

For the two gaseous reactions, following data:
\(A \rightarrow B; k_1 = 10^{10}e^{-20,000/T}\)
\(C \rightarrow D; k_2 = 10^{12}e^{-24,606/T}\)
the temperature at which \(k_1\) becomes equal to \(k_2\) is

In aerosol, the dispersion medium is

Which of the following is the strongest oxidising agent?

The purest zinc is made by