List of practice Questions

If a relation $R$ on the set $\{1$, $2$, $3\}$ be defined by $R = \{(1$, $2)\}$, then $R$ is

If a solid has a sharp melting point, then it means that the solid is :

If a man goes $10 \,m$ toward north and $20\, m$ toward east, then his displacement is

If a line makes angles 60?, 45?, 45? and $\theta$ with the four diagonals of a cube then $sin^2 \, \theta = $

If a letter is chosen at random from the letter of English alphabet, then the probability that it is a letter of the word ??ELHI?

If a line makes an angle a with the positive direction of x-axis, then the slope of the line is given by :

If $A$ is the void set $\phi$, then $P\left(A\right)$ has just one element $\phi$ i.e. $P[\phi] = \left\{\phi\right\}$. So number of elements of $P\left[P\left(P\left(\phi\right)\right)\right]$ is

If a leaf cell of Agave has $x$ chromosomes then what will be the number of chromosomes in a cell of its bulbil?

If A is symmetric as well as skew-symmetric matrix, then A is

If A is a square matrix, then $AA^T$ is a

If A is a square matrix, then A + A' is

If A is a square matrix, then $A - A^t$ is a

If A is a square matrix such that $A^2 = I$, then $A^{-1}$ is equal to

If A is a square matrix such that $A^2 = I$, then $(A - I)^3 + (A + I)^3 - 7A$ is equal to

If A is a skew symmetric matrix, then trace of A is

If A is a square matrix such that $A^2=A$, then $(1-A)^3+A$ is equal to

If a is a positive integer, then the number of values of a satisfying $\displaystyle\int_0^{\pi/2}\begin{Bmatrix}a^2\left(\frac{\cos 3x}{4}+\frac{3}{4}\cos\,x\right)+a\,\sin\,x-20\,\cos\,x\end{Bmatrix}dx\leq-\frac{a^2}{3}$ is

If $A$ is a skew symmetric matrix and $n$ is an even positive integer, then $A^n$ is a

If A is a non-singular matrix of order 3, then adj (adj A) is equal to

If A is a non-zero column matrix of order m x 1 and B is non-zero row matrix of order $1 \times n$, then rank of AB is equal to

If $A = \begin{bmatrix}i&0\\ 0&-i\end{bmatrix}, B = \begin{bmatrix}0&-1\\ 1&0\end{bmatrix}$ and $ C= \begin{bmatrix}0&i\\ i&0\end{bmatrix} $ then $A^{2} = B^{2} =C^{2} $ is equal to :

If $a + ib = c + id$, then

If a genetic disease is transferred from a phenotypically normal but carrier female to only some of the male progeny, the disease is

If a gas has f - degrees of freedom, the ratio $C_p/C_v$ of the gas is

If a conical wire is stretched by two forces F applied, parallel to its length and In opposite direction. NoramI to end faces. The length of wire is L and its end radius are $r_1$ and $r_2$ Find out the extention produced (Given: Y=Young's modulus of wire)