List of top Questions asked in VITEEE

Evaluate $\int \frac{x^{2}+4}{x^{4}+16}dx.$

A dice is rolled twice and the sum of the numbers appearing on them is observed to be $7$. What is the conditional probability that the number $2$ has appeared at least once ?

In an equilateral triangle, the inradius, circumradius and one of the exradii are in the ratio

In how many ways 6 letters be posted in 5 different letter boxes?

If $X$ is a poisson variate such that $P(X = 1) = P(X = 2)$, then $P(X=4)$ is equal to

If $D$ is the set of all real $x$ such that $1-e^{\left(1/ x\right)-1}$ is positive, then $D$ is equal to

The number of ways of painting the faces of a cube of six different colours is

The sum of the coefficients of $(6\,a-5\,b)^n$, where $n$ is a positive integer, is

Two glass bulbs $A$ and $B$ are connected by a very small tube having a stop-cock. Bulb $A$ has a volume of $100\, cm^3$ and contained the gas while bulb $B$ was empty. On opening stop-clock, the pressure fell down to $40\%$. The volume of the bulb $B$ must be

For the reaction, $C _{3} H _{8}( g )+5 O _{2}( g ) \longrightarrow 3 CO _{2}( g )+4 H _{2} O ( l )$ at constant temperature, $\Delta H-\Delta E$ is

If $\frac{x^{2}+2x+7}{2x+3} < 6, x\,\in\,R, $ then

A coil of resistance $10\,\Omega$ and inductance $5\, H$ is connected to a $100\, V$ battery. Then the energy stored in the coil is

$CH_{3} - \overset{\underset{||}{O}}{C} - CH_{3} \ce{->[{SeO_{2}}]} X +Se +H_{2}O : X$ is

$CH_3CH_2Br$ undergoes Wurtz reaction. We may expect some of the following product $A : CH_3CH_2CH_2CH_3$ $B : CH_2 = CH_2$ $C : CH_3 ? CH_3$ Select correct product.

$"925$ fine silver" means an alloy of

An electromagnetic wave going through vacuum is described by $E=E_{0}\,\sin \left(kx-\omega t\right)$ Which of the following is/are independent of the wavelength?

An alkene having molecular formula $C_8H_{12}$ on ozonolysis yields glyoxal and 2, 2-dimethyl butane-1, 4-dial. The structure of alkene is

In producing chlorine through electrolysis $100\, W$ power at $125\, V$ is being consumed. How much chlorine per minute is leberated? ($ECE$ of chlorine is $0.367 ? 10^{-6}\, kg/C$)

In which of the following octahedral complexes of Co (At. no. 27), will the magnitude of $\Delta_{0}$ be the highest?

p-toluidine and benzyl amine can be distinguished by

An ammeter reads upto $1A$. Its internal resistance is $0.81\, \Omega$ . To increase the range to $10\, A$, the value of the required shunt is

In a set of reactions acetic acid yielded a product D. $CH_{3} COOH {->[{SOCl_{2}}]} A {->[{\text{Benzene}}][{\text{anhy} AlCl_{3}}]} B {->[{HCN}]} C {->[{H_{2}O}]}$ The structure of D would be

In the reversible reaction, $2 NO _{2} \ce{->[{k_{1}}][{K_{2}}]} N _{2} O _{4}$ the rate of disappearance of $N O_{2}$ is equal to

Dimensions of a block are $1\,cm � 1\,cm � 100\,cm$. If specific resistance of its material is $3\times 10^{-7} \,\Omega\, m$, then the resistance between the opposite rectangular faces is

$Mn_2O_7$ dissolves in water to give an acid. The colour of the acid is