List of practice Questions

If $?

If an event has more than one sample point, then it is called a/an______.

If $b^2 - 4ac = 0$, $a > 0$, then the domain of the function $y = log(ax^3 + (a + b)x^2 + (b + c)x + c)$ is

If Amp $( \frac {z-1} {z+1})= \frac {\pi} {3}$, then $z$ represents a point on

If an angle $\theta$ is divided into 2 parts A and B such that $A - B = k$ and $A + B = \theta$ and tan $A : tan \,B = k :\, 1$, then the value of sin k is :

If $aN = {ax : x \in N}$ and $bN \cap cN = dN$, where $b,\, c \in N$ are relatively prime, then

If all permutations of the letters of the word are arranged in the order as in a dictionary, what is the $49^{th}$ word?

If $\alpha$ and $\beta$ are the roots of the equation $x^{2} + 2x + 4 = 0$, then $\frac{1}{\alpha^{3}}+\frac{1}{\beta^{3}}$ is equal to

If $\alpha , \beta $ are complementary angles, then $\cos^2 \, \alpha +\cos^2 \,\beta $ is equal to

If $\alpha \,,\beta,\,\gamma\,$ are the angles which a half ray makes with the positive directions of the axes, then $\sin^2\alpha \,,\sin^2\beta,\,\sin^2\gamma\,$ is equal to

If $AB = A$ and $BA = B$, then $B^2$ is equal to

If $ABCD$ is a cyclic quadrilateral then $\cos(180? +A)+ \cos(180? - B) + \cos(180? - C) - \sin(90? - D) =$

If $ABCDEF$ is a regular hexagon, then $\overrightarrow{AD} + \overrightarrow{EB} + \overrightarrow{FC}$ is equal to

If air is blow n with a straw under of the pans of a physical balance present in equilibrium position, then that pan.

If $a^x = b^y = c^z$ and $a, b, c $ are in G.P. then $ x, y, z $ are in

If $A = \{ x : x^2 - 3x + 2 = 0 \}$ , and R is a universal relation on A, then R is

If $A = \{(x, y) : x^2 + y^2 = 25\}$ and $B = \{(x, y) : x^2 + 16y^2 = 144\}$ then $A \cap B$ contains

If a variable point P on an ellipse of eccentricity e is joined to the foci $S_1$ and $S_2$ then the incentre of the triangle $PS_1S_2$ lies on

If a vector $\vec{A}$ makes an angles $\alpha$, $\beta$ and $\gamma$ respectively with the $x$, $y$ and $z$ axes respectively. Then $sin^{2}\alpha+sin^{2}\beta+sin^{2}\gamma$ is equal to

If a variable frequency ac source is connected to a capacitor then with decrease in frequency the displacement current will

"If a system A is in thermal equilibrium with B and B is in thermal equilibrium with C, then A and C are in thermal equilibrium with each other. " This is a statement of

If $A^T, B^T$ are transpose matrices of the square matrices A, B respectively, then$(AB)^T$ is equal to

If a thermometer reads freezing point of water as $ 20{}^\circ C $ and boiling point as $ 150{}^\circ C $ , how much thermometer read, when the actual temperature is $ 60{}^\circ C $ ?

If a tissue has at a given time $1024$ cells, how many cycles of mitosis had the original parental single cell undergone?

If a particle moves in a circle describing equal angles in equal intervals of times, the velocity vector