List of practice Questions

Match List-I with List-II:

List-I		List-II
A	Pegged exchange rate system	(I)	Setting up of IMF and World Bank
B	Managed floating	(II)	Fixed exchange rate system
C	Bretton Woods Conference	(III)	Dirty floating
D	Third element in BOP	(IV)	Error and Omission Account

Which of the following are true for the trials of a random experiment to be a Bernoulli's trial?
(A) There should be finite number of trials.
(B) The trials should be dependent.
(C) Each trial should have at least two outcomes.
(D) The probability of success remains the same in each trial.
Choose the correct answer from the options given below:

If $ f(x) $ is given as: \[ f(x) = \begin{cases} \frac{8}{x^3} - 6x, & \text{if } 0 < x \leq 1 \\ \frac{x - 1}{\sqrt{x}-1}, & \text{if } x > 1 \end{cases} \] is a real-valued function, then at $ x = 1 $, $ f $ is:

Which one of the following is not an essential amino acid?

A reagent that can be used to reduce benzene diazonium chloride to benzene is:

Chlorophenylmethane is treated with ethanolic NaCN and the product obtained is reduced with H$_2$ in the presence of finely divided nickel to give:

The order of decreasing acid strength of carboxylic acids is:

Phenol can be converted to salicylaldehyde by:

\[ \lim_{n\to\infty}\left[\left(1+\frac{1}{n^2}\right)\left(1+\frac{4}{n^2}\right)\left(1+\frac{9}{n^2}\right)\cdots\left(1+\frac{n^2}{n^2}\right)\right]^{\frac{1}{n}} = \]

Choose the achiral molecule in the following:

Evaluate $ \int_{-2}^{2} x^4 (4 - x^2)^{\frac{7}{2}} \, dx $:

Which one of the following nucleophiles is an ambident nucleophile?

Area of the region enclosed between the curves $y^{2}=4(x+7)$ and $y^{2}=5(2-x)$ is

Which one of the following compounds can exhibit both optical isomerism and geometrical isomerism?

If the interval in which the real-valued function \[ f(x) = \log\left(\frac{1+x}{1-x}\right) - 2x - \frac{x^{3}}{1-x^{2}} \] is decreasing in $ (a,b) $, where $ |b-a| $ is maximum, then {a}⁄{b} =

In the Carius method of estimation of halogen, 0.4g of an organic compound gave 0.188g of AgBr. What is the percentage of bromine in the organic compound? (The atomic mass of Ag = 108 g mol$^{-1}$ & Br = 80 g mol$^{-1}$)

The IUPAC name of the complex $ [\text{Cr(NH}_3)_3(\text{H}_2\text{O})_3]\text{Cl}_3 $ is:

The alloy containing about 95% lanthanoids, 5% iron and traces of S, C, Ca and Al which is used in producing Mg-based bullets is:

Which of the following statement is incorrect with regard to interstitial compounds of transition elements?

The 3d block metal having positive standard electrode potential (M$^{2+}$/M) is

Which of the following amines will not undergo carblyamine reaction?

Coordination compounds exhibit different types of isomerism. Some complexes are given in Column I, and the type of isomerism is given in Column II.

\[ \begin{array}{|l|l|} \hline \textbf{Column I} & \textbf{Column II} \\ \hline (a) [\text{Pt(NH}_3)_2\text{Cl}_2] & (i) \text{Ionisation isomerism} \\ \hline (b) [\text{Co(en)}_3]^{3+} & (ii) \text{Linkage isomerism} \\ \hline (c) [\text{Cr(NH}_3)_5(\text{SO}_4)]\text{Br} & (iii) \text{Optical isomerism} \\ \hline (d) [\text{Co(NH}_3)_5(\text{NO}_2)]\text{Cl}_2 & (iv) \text{Geometrical isomerism} \\ \hline \end{array} \]

How many grams of HCl will completely react with 17.4g of pure MnO$_2$ (s) to liberate Cl$_2$ (g)? (Atomic mass Mn = 55.0; H = 1; Cl = 35.5)

An aqueous solution contains 20g of a non-volatile strong electrolyte $ {A}_2{B} $ (Molar mass = 60 g mol$^{-1}$) in 1 kg of water. If the electrolyte is 100% dissociated at this concentration, what is the boiling point of the solution? (Kb of water is 0.52 K kg mol$^{-1}$)

The standard molar entropies of $ \text{SO}_2(g) $, $ \text{SO}_3(g) $, and $ \text{O}_2(g) $ are:

$ S^\circ_{\text{SO}_2} = 250 $ J/K·mol
$ S^\circ_{\text{SO}_3} = 257 $ J/K·mol
$ S^\circ_{\text{O}_2} = 205 $ J/K·mol

Calculate the standard molar entropy change for the reaction:

\[ 2\text{SO}_2(g) + \text{O}_2(g) \rightarrow 2\text{SO}_3(g) \]

The standard entropy change ($ \Delta S^\circ $) is given by:

\[ \Delta S^\circ = \sum S^\circ_{\text{products}} - \sum S^\circ_{\text{reactants}} \]