List of top Questions asked in MET- 2019

Antonym of Adverse

...... he stood first, he would have gone to America.

He was very much ashamed ...... his mischief.

The adjoining graph

The remainder obtained when \(5^{124}\) is divided by 124 is

If \(I_n = \int \sin^n x dx\), then \(nI_n - (n - 1)I_{n-2}\) equals

If \(x\) follows a binomial distribution with parameters \(n = 100\) and \(p = \frac{1}{3}\), then \(P(X = r)\) is maximum when \(r\) equals

If the distance between the foci of an ellipse is 6 and the length of the minor axis is 8, then the eccentricity is

The direction cosines of any normal to the xy-plane are

The approximate value of \(\int_1^5 x^2 dx\) using trapezoidal rule with \(n = 4\) is

If \(\int f(x) dx = F(x)\), then \(\int x^3 f(x^2) dx\) is equal to

Which is the correct order for a given number \(\alpha\) in increasing order?

The vertex connectivity of any tree is

If \(n \in \mathbb{N}\), then \(|\sin nx|\)

If \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) are non-collinear vectors such that for some scalars \(x, y, z\), \(x\mathbf{a} + y\mathbf{b} + z\mathbf{c} = \mathbf{0}\), then

The maximum value of \(3\cos\theta + 4\sin\theta\) is

In \(\triangle ABC\), \(\frac{b - c}{r_1} + \frac{c - a}{r_2} + \frac{a - b}{r_3}\) is equal to

One mapping (function) is selected at random from all the mappings of the set \(A = \{1, 2, 3, \dots, n\}\) into itself. The probability that the mapping selected is one-one, is

\(\cos^{-1}\{\cos 2\cot^{-1}(\sqrt{2} - 1)\}\) is equal to

A perpendicular is drawn from the point P(2, 4, -1) to the line \(\frac{x + 5}{1} = \frac{y + 3}{4} = \frac{z - 6}{-9}\). The equation of the perpendicular from P to the given line is

If \(\mathbf{a} = -\hat{\mathbf{i}} + 2\hat{\mathbf{j}} - \hat{\mathbf{k}}\), \(\mathbf{b} = \hat{\mathbf{i}} + \hat{\mathbf{j}} - 3\hat{\mathbf{k}}\) and \(\mathbf{c} = -4\hat{\mathbf{i}} - \hat{\mathbf{k}}\), then \(\mathbf{a} \times (\mathbf{b} \times \mathbf{c}) + (\mathbf{a} \cdot \mathbf{b})\mathbf{c}\) is

The function \(f(x) = [x]\cos\left[\frac{2x - 1}{2}\right]\pi\), where \([\,\cdot\,]\) denotes the greatest integer function, is discontinuous at

The number of five digits numbers that can be formed without any restriction is

Equation \(x * a = b\) has in group \((G, *)\)

The remainder obtained when \(1! + 2! + \cdots + 200!\) is divided by 14 is