List of top Questions asked in JEE Main- 2019

Let A, B and C be sets such that \(\phi \ne A \cap B \subseteq C\). Then which of the following statements is not true ?

The general solution of the differential equation \((y^2 - x^3)\,dx - xy\,dy = 0\) \((x \ne 0)\) is : (where c is a constant of integration)

Let \(f(x) = 5 - |x-2|\) and \(g(x) = |x+1|\), \(x \in R\). If \(f(x)\) attains maximum value at \(\alpha\) and \(g(x)\) attains minimum value at \(\beta\), then \(\lim_{x \to -\alpha\beta} \frac{(x-1)(x^2-5x+6)}{x^2-6x+8}\) is equal to :

A person throws two fair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins Rs. 12 when the throw results in the sum of 9, and loses Rs. 6 for any other outcome on the throw. Then the expected gain/loss (in Rs.) of the person is :

Let \(a \in \left(0, \frac{\pi}{2}\right)\) be fixed. If the integral \(\int \frac{\tan x + \tan \alpha}{\tan x - \tan \alpha}\,dx = A(x)\cos 2\alpha + B(x)\sin 2\alpha + C\), where C is a constant of integration, then the functions A(x) and B(x) are respectively :

A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is 1750, then n is equal to :

The pair that has similar atomic radii is :

The correct decreasing order for acid strength is :

The effect of lanthanoid contraction in the lanthanoid series of elements by and large means :

The mole fraction of a solvent in aqueous solution of a solute is 0.8. The molality (in mol $kg^{-1}$) of the aqueous solution is

Consider the given plots for a reaction obeying Arrhenius equation $(0^{\circ}C < T < 300^{\circ}C)$ : ($k$ and $E_a$ are rate constant and activation energy, respectively) Choose the correct option :

The percentage composition of carbon by mole in methane is :

The strength of $11.2$ volume solution of $H_2O_2$ is : [Given that molar mass of $H = 1\, g$ $mol^{-1}$ and $O = 16\, g\, mol^{-1}]$

For coagulation of arscnious sulphide sol, which one of the following salt solution will be most effective ?

The correct statements among (a) to (b) are: (a) saline hydrides produce $H_2$ gas when reacted with ${H2O}$. (b) reaction of $LiAH_4$ with $BF_3$ leads to $B_2H_6$. (c) $PH_3$ and $CH_4$ are electron - rich and electronprecise hydrides, respectively. (d) HF and $CH_4$ are called as molecular hydrides.

Iodine reacts with concentrated ${HNO_3}$ to yield $Y$ along with other products. The oxidation state of iodine in $Y$, is :

The number of 2 -centre- 2 -electron and 3-centre-2-electron bonds in $B _{2} H _{6}$, respectively, are :

The coordination numbers of Co and Al in ${ [Co(Cl)(en)2]Cl}$ and ${K3[Al(C2O4)3]}$, respectively, are : (en=ethane-1,2-diamine)

The correct statement among the following is

Chlorine on reaction with hot and concentrated sodium hydroxide gives :

In the Hall-Heroult process, aluminium is formed at the cathode. The cathode is made out of :

Among the following compounds most basic amino acid is :

Which of the following compounds is not aromatic ?

The aerosol is a kind of colloid in which :