List of top Questions asked in MET

Match the Column I and Column II and pick the correct matching from the codes given below.

The flame colours of metal ions are due to

The gas mixture which is used by the divers inside the sea is

van't Hoff factor, when benzoic acid is dissolved in benzene, will be

1 C electricity deposits

Which of the following does not influence the rate of reaction?

During the adsorption of krypton on activated charcoal at low temperature.

In which of the following the pyrophosphate bond of ATP is broken down and linkage takes place between two molecules?

Which of the following options best describes the 'hydrogen economy'?

Electrolytic reduction of alumina to aluminium by Hall-Heroult process is carried out

Which of the following anions is present in the chain structure of silicates?

Myosin(s) is/are

If \(2a + 3b + 6c = 0\), then at least one root of the equation \(ax^2 + bx + c = 0\) lies in the interval

If a and b be two perpendicular unit vectors such that \(\mathbf{x} = \mathbf{b} - (\mathbf{a} \times \mathbf{x})\), then \(|\mathbf{x}|\) is equal to

If \(aN = \{an : n \in N\}\) and \(bN \cap cN = dN\), where \(a,b,c \in N\) and \(b,c\) are coprime, then

If \( f(x) = \int_0^1 e^{|t - x|} \, dt \) for \( 0 \leq x \leq 1 \), then the maximum value of \( f(x) \) is:

The mean deviation from the mean for the set of observations \(-1, 0, 4\) is

If \(f(x)\) is a non-negative continuous function for all \(x \ge 1\) such that \(f'(x) \le p f(x)\), where \(p > 0\) and \(f(1) = 0\), then \([f(\sqrt{e}) + f(\sqrt{\pi})]\) is equal to

If \[ t_n = \sum_{r=0}^n \frac{1}{\left({}^nC_r\right)^k} \quad \text{and} \quad S_n = \sum_{r=0}^n \frac{r}{\left({}^nC_r\right)^k}, \] where \( k \in \mathbb{Z}^+ \), then \[ \cos^{-1}\left( \frac{S_n}{n t_n} \right) \] is:

If \(X\) follows a binomial distribution with parameters \(n = 8\) and \(p = \frac{1}{2}\), then \(P(|x - 4| \le 2)\) is equal to

Sum of the last 30 coefficients in the expansion of \[ (1 + x)^{59}, \] when expanded in ascending powers of \( x \), is:

If \(\theta = \sin^{-1}x + \cos^{-1}x - \tan^{-1}x\), \(1 \le x < \infty\), then the smallest interval in which \(\theta\) lies is

If \[ 2\tan^{-1}(\cos x) = \tan^{-1}(2 \csc x), \] then the value of \( x \) is:

If \(\cos^{-1}p + \cos^{-1}q + \cos^{-1}r = 3\pi\), then \(p^2 + q^2 + r^2 + 2pqr\) is equal to

The points on the curve \(xy^2 = 1\) which are nearest to the origin, are