List of practice Questions

The equation of straight line through the intersection of the lines $x - 2y = 1 $ and $x + 3y = 2$ and parallel $3x + 4y = 0$ is
The length of the sub-tangent, ordinate and the sub-normal are in
$100\, mL$ of $0.1\, M$ acetic acid is completely neutralized using a standard solution of $NaOH$.The volume of Ethane obtained at $STP$ after the complete electrolysis of the resulting solution is
The instantaneous values of alternating current and voltages in a circuit are given as $i=\frac{1}{\sqrt2}\sin(100\pi t)$ ampere $e=\frac{1}{\sqrt2}\sin(100\pi t+\frac{\pi}{3})$ Volt . The average power in watts consumed in the circuit is
The motion of a particle along a straight line is described by equation $ x = 8 + 12t - t^3 $ where $x$ is in metre and $t$ in second. The retardation of the particle when its velocity becomes zero is
Two sources of sound placed close to each other, are emitting progressive waves given by $y _{1}=4 \sin 600\, \pi t$ and $y _{2}=5 \sin 608\, \pi t :$ An observer located near these two sources of sound will hear
If mean and variance of a binomial variate X are 2 and 1 respectively, then the probability that X takes a value atleast one is
The value of $a$ for which the volume of parallelepiped formed by the vectors $\hat {i}+a\hat{j} + \hat{k} \,\, \hat{j}+a\hat{k} $ and $ a\hat{i}+\hat{k} $ is minimum, is
Select a suitable name for this process : ${C_6H_{12}O_6 + 2 A D P + 2 P i -> 2C_2H_5OH + 2 ATP + 2CO_2\uparrow } $
Given below is the floral diagram of a flower. Which of the following descriptions of the flower matches the floral diagram ?
Read the two statements A and B and identify the correct choice from those given : Statement A : Agrobacterium tumefaciens is the causative agent of crown gall disease of dicots. Statement B : Agrobacterium tumefaciens cause infection by entering the plant through wounds and injuries.
The chromosomal complement of individuals with Turner's syndrome is :
Carbon dioxide is called green-house gas because it is
This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. It is not possible to make a sphere of capacity $1$ farad using a conducting material. It is possible for earth as its radius is $6.4 \times 10^6\,m$.
In a coil of resistance 10 Ω, the induced current developed by changing magnetic flux through it, is shown in figure as a function of time. The magnitude of change in flux through the coil in weber is
In a coil of resistance 10 Ω, the induced current developed by changing magnetic flux through it, is shown in figure as a function of time.
The function of potassium ethyl xanthate in froth floatation process is to make the ore
Bond order of $1.5$ is shown by:
The differential equation whose solution is $Ax^2 + By^2 = 1$ where $A$ and $B$ are arbitrary constants is of
The tangent at $(1, 7)$ to the curve $x^2 = y - 6$ touches the circle $x^2 + y^2 + 16x + 12y + c = 0$ at
$\int \frac{dx}{\sin x - \cos x + \sqrt{2}} $ equals to
The value of integral $\int\limits_0^1 \, \sqrt{\frac{1-x}{1+x}}dx$ is
The value of $\displaystyle\lim_{x\to\infty}\left(\frac{\pi}{2} - \tan^{-1} x\right)^{1/x} $ is
There are $5$ letters and $5$ different envelopes. The number of ways in which all the letters can be put in wrong envelope, is
The coefficient of $x^n$ in the expansion of $\log_a (1 + x)$ is
Bond enthalpies of $H_2, X_2$ and $HX$ are in the ratio $2 : 1 : 2$. If enthalpy of formation of $HX$ is $-50 \,kJ \,mol^{-1}$, the bond enthalpy of $H_2$ is