List of top Questions asked in MET

The points on the curve \(xy^2 = 1\) which are nearest to the origin, are
The value of \(\lim_{n \to \infty} \left[\sqrt[3]{n^2 - n^3} + n\right]\) is
Total number of polynomials of the form \(x^3 + ax^2 + bx + c\) that are divisible by \(x^2 + 1\), where \(a,b,c \in \{1, 2, 3, \dots, 10\}\) is equal to
If \(\cos^{-1}p + \cos^{-1}q + \cos^{-1}r = 3\pi\), then \(p^2 + q^2 + r^2 + 2pqr\) is equal to
If \(X\) follows a binomial distribution with parameters \(n = 8\) and \(p = \frac{1}{2}\), then \(P(|x - 4| \le 2)\) is equal to
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 \(\theta = \sin^{-1}x + \cos^{-1}x - \tan^{-1}x\), \(1 \le x < \infty\), then the smallest interval in which \(\theta\) lies is
Which of the following anions is present in the chain structure of silicates?
If \(aN = \{an : n \in N\}\) and \(bN \cap cN = dN\), where \(a,b,c \in N\) and \(b,c\) are coprime, then
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
Myosin(s) is/are
The mean deviation from the mean for the set of observations \(-1, 0, 4\) is
Which of the following options best describes the 'hydrogen economy'?
In which of the following the pyrophosphate bond of ATP is broken down and linkage takes place between two molecules?
Electrolytic reduction of alumina to aluminium by Hall-Heroult process is carried out
During the adsorption of krypton on activated charcoal at low temperature.
Which of the following does not influence the rate of reaction?
1 C electricity deposits
van't Hoff factor, when benzoic acid is dissolved in benzene, will be
The maximum heat of hydrogenation among the following is
The flame colours of metal ions are due to
The process of 'eutrophication' is due to
Match the Column I and Column II and pick the correct matching from the codes given below.
The gas mixture which is used by the divers inside the sea is