List of top Statistical Science Questions

From point Q which is outside the circle, the length of the tangent to the circle is 24 cm and the distance of Q from the centre is 25 cm, then the radius of the circle is given by

If \(\cos \theta = \frac{e^{i\theta} + e^{-i\theta}}{2}\) and \(\sin \theta = \frac{e^{i\theta} - e^{-i\theta}}{2i}\), then \(\cos \theta - i\sin \theta\) is equal to

Let \(3x + 2iy - ix + 5y = 7 + 5i\), then values of \(x\) and \(y\) respectively are given by

If A and B be orthogonal matrices of same size, then

For what value of \(p\), the series \(\sum_{n=1}^\infty \frac{1}{n^p}\) is convergent

The series \(\sum_{n=1}^\infty a_n = \sum_{n=1}^\infty \frac{1}{n^2}\) and \(\sum_{n=1}^\infty b_n = \sum_{n=1}^\infty \frac{1}{n^3}\) are

The value of \(i^i\), (\(i^2 = -1\)) is

\(\lim_{n\to\infty} \frac{1+2+3+\dots+n}{n^2}\) is

The equation of conic section whose vertices are \((0, \pm 8)\) and asymptotes are \(y = \pm \frac{4}{3}x\) is given by

Let \((a_n) = (-1)^n\) and \((b_n) = -2^n\) be sequences of real numbers, then

Let \((a_n) = r^n\), where \(r\) be any real number, then

Let $A_{m \times n}$ be any matrix and Rank ($A$) = 0, then matrix $A$ is}

Which of the following statement is always true for a square matrix

Let $V$ and $W$ be vector spaces and $T: V \to W$ be linear transformation, then

The inverse of a matrix $A = \begin{bmatrix} 0 & 2 & 4 \\ 2 & 4 & 2 \\ 3 & 3 & 1 \end{bmatrix}$ is}

Let $A$ be a $5 \times 5$ skew-symmetric matrix of real numbers, then which of the following is true

Which of the following statement is always true

Which of the following invention gave birth to the much cheaper microcomputers?

The determinant of a matrix $A = \begin{bmatrix} 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 \end{bmatrix}$ is}

Let $A$ be an $n \times n$ matrix of real numbers such that $A^2 = I$, then the eigen values of $A$ are

Let $T: \mathbb{R}^2(\mathbb{R}) \to \mathbb{R}^2(\mathbb{R})$ be a linear transformation such that $T$ is a rotation at angle of $90^\circ$ in clockwise direction in $\mathbb{R}^2$, then}

Which of the following statements is a valid way to open the file test.data and associate it with unit 10?

A wireless technology built-in electronic gadgets used for exchanging data over short distances is?

Which of the following is not a characteristic of a computer?

Which of the following language does the computer understand?