List of practice Questions

Which one of the following pairs of animals comprises 'jawless fishes'?
Which one of the following order is correct for the first ionisation energies of the elements ?
0.5 g of an acid is neutralized by 40 cc of 0.125 N NaOH. The equivalent mass of the acid is
In the Molisch reagent, the substance used is
$2p_x$ atomic orbital undergoes linear combination with
The adsorption of an inert gas on activated charcoal increases with
If $A= \begin{bmatrix}1&2\\ 0&1\end{bmatrix} $, then $A^n$ is
The number of distinct real roots of $\begin{vmatrix}\sin x&\cos x&\cos x\\ \cos x&\sin x&\cos x\\ \cos x &\cos x&\sin x\end{vmatrix}$ in the interval $ \left[\frac{-\pi}{4}, \frac{\pi}{4}\right] $ is
If $\alpha , \beta , \gamma$ are the roots of the equation $x^3 + px + q = 0$, then the value of the determinant $\begin{vmatrix}\alpha&\beta&\gamma\\ \beta&\gamma&\alpha\\ \gamma&\alpha&\beta\end{vmatrix} = $
$\displaystyle\lim_{n\to\infty} \frac{\left(1^{2} +2^{2} + ....+n^{2}\right) \sqrt[n]{n}}{ \left(n+1\right)\left(n+10\right)\left(n+100\right)} = $
The solution of the differential equation $\frac{dy}{dx} = (x +y)^2$ is
In a $CE$ amplifier $\beta = 50, R_L = 4 \, k\Omega , R_1 = 500 \, \Omega $. Power gain of the amplifier is
The $pH$ value of $1 \times 10^{-4} \,M \,NaOH$ solution is
When light wave suffers reflection at the interface between air and glass, the change of phase of reflected wave is equal to
The chemical entities present in thermosphere of the atmosphere
For a certain function $ u_x $ , given that $ u_0 = 3, u_1 = 12, u_2 = 81, u_3 = 200, u_4 = 100, u_5 = 8 $ , then $ \Delta ^{5}u_{x} $ is equal to
The figure shows the p-V plot an ideal gas taken through a cycle ABCDA. The part ABC is a semi-circle and CDA is half of an ellipse. Then,
The maximum value of $ z = 9x + 13y $ subject to $ 2x + 3y \le 18, 2x + y \le 10, x \ge 0, y \ge 0 $ is
$ \lim\limits _{x\to 1 } \left(log \,ex\right)^{1/log\,x} $ is equal
Half-life period of a first order reaction is $1386\, s.$ The specific rate constant of the reaction is
A student measures the terminal potential difference (V) of a cell (of emf $\varepsilon $ and internal resistance r) as a function of the current $(I)$ flowing through it. The slope, and intercept, of the graph between V and I, then, respectively, equal
Globulins contained in human blood plasma are primarily involved in
Which one of the following is correct pairing of a body part with the kind of muscle tissue present in it?
Peripatus is a connecting link between
The mass of a lift is $2000\, kg.$ When the tension in the supporting cable is $28000\, N,$ then its acceleration is