List of practice Questions

Consider the following statements
Statement-I: A function \( f: A \rightarrow B \) is said to be one-one if and only if \[ f(x) = f(y) \Rightarrow x = y \]
Statement-II: A relation \( f: A \rightarrow B \) is said to be a function if \[ x = y \Rightarrow f(x) \neq f(y) \]
Then which one of the following is true?
If \( t_n = \dfrac{1}{n(n+2)} \), \( n \in \mathbb{N} \), then which one of the following is true?
Assertion (A): \[ t_1 + t_2 + \cdots + t_{2003} = \dfrac{2003}{3005} \]
Reason (R): \[ t_n = \dfrac{1}{n(n+2)} = \dfrac{1}{2} \left( \dfrac{1}{n} - \dfrac{1}{n+2} \right) \]
In \( \text{Fe}_x[\text{Fe}_y(\text{CN})_6]_3 \), x, y respectively, are
The correct statement regarding X and Y in the following set of reactions is
The synthetic detergents of the following are
synthetic detergents of the following are
In the given reaction sequence conversion of Y to Z is
reaction sequence conversion of Y to Z is
The preferred reagent for the preparation of pure alkyl chloride from alcohol is
In a colloidal solution, both the dispersed phase and dispersion medium are in liquid phase. What is the type of colloid?
The equation which represents Freundlich adsorption isotherm is (x = amount of gas, m = mass of solid)
Which of the following is used as froth stabilizer in froth floatation process?
White phosphorus on heating with concentrated NaOH solution in an inert atmosphere of CO\(_2\) gives a salt 'X' and gas 'Y'. The oxidation state of central atom in X and Y is respectively
Among the following compounds, which one is not responsible for the depletion of ozone layer?
Which method is used to purify liquids having very high boiling points and liquids which decompose at or below their boiling point?
What are X, Y, Z in the following reaction sequence? But-2-ene \( \xrightarrow{X} \) Ethanoic acid \( \xrightarrow{Y} \) Ethanoyl chloride \( \xrightarrow{\text{Benzene, Anhy. AlCl}_3} \) Z
At 298 K, 0.714 moles of liquid A is dissolved in 5.555 moles of liquid B. The vapour pressure of the resultant solution is 475 torr. The vapour pressure of pure liquid A at the same temperature is 280.7 torr. What is the vapour pressure of pure liquid B in torr?
At \(25 ^\circ\text{C}\), \(K_a\) of formic acid is \(1.8 \times 10^{-4}\). What is the \(K_b\) of \( \text{HCOO}^- \)?
4 mL of 'X volume' \( \text{H}_2\text{O}_2 \) on heating gives 80 mL of oxygen at STP. The value of X is
Compound 'X' is prepared commercially by the electrolysis of brine solution. Which of the following is not the use of 'X'?
Consider the following Statement-I : \( \text{Al}_2\text{O}_3 \) is amphoteric in nature. Statement-II : \( \text{Tl}_2\text{O}_3 \) is more basic than \( \text{Ga}_2\text{O}_3 \). The correct answer is
Identify the incorrect order against the stated property.
The correct order of the non-metallic character among the elements B, C, N, F and Si is
How many of the following molecules have two lone pairs of electrons on central atom? SF\(_6\), BF\(_3\), ClF\(_3\), PCl\(_5\), BrF\(_5\), XeF\(_4\), H\(_2\)O, SF\(_4\)
The pair of molecules / ions with the same bond order value is
At what temperature (in K) the rms velocity of SO\(_2\) molecules is equal to rms velocity of O\(_2\) molecules at \(27 \, ^\circ\text{C}\)?
Consider the following A) 0.0025 B) 500.0 C) 2.0034 Number of significant figures in A, B and C respectively, are