List of top Questions asked in VITEEE

Find the value of \( \displaystyle \int_{0}^{\pi/2} \frac{\sin x}{\sin x + \cos x}\,dx \).

If \( \tan^{-1}x + \tan^{-1}y = \frac{\pi}{4} \), then what is the value of \(x + y + xy\)?

What is the order of a reaction if the rate constant unit is \(L \cdot mol^{-1} \cdot s^{-1}\)?

Which gas is evolved when Sodium metal reacts with Ethanol?

What is the coordination number of Cobalt in $[Co(en)_3]^{3+}$?

A wire of resistance \(R\) is stretched to double its original length. What is its new resistance?

Pointing to a photograph, a man says, “I have no brother or sister, but that man's father is my father's son.” Who is in the photo?

Find the missing number: \(2, 6, 12, 20, 30, ?\)

What is the oxidation state of Nickel in \(Ni(CO)_4\)?

What is the product of the reaction between Benzene and \(CH_3Cl\) in the presence of anhydrous \(AlCl_3\)?

Evaluate \( \displaystyle \int_{0}^{\pi/2} \frac{\sin x}{\sin x + \cos x}\,dx \).

If \(A\) is a square matrix of order \(3\) and \(|A| = 5\), find \(|adj(A)|\).

Find the missing number in the series: \(2, 6, 12, 20, 30, ?\)

Identify the monomers for Nylon-6,6.

Which compound undergoes Cannizzaro reaction: Formaldehyde, Acetaldehyde, or Benzophenone?

Determine the de Broglie wavelength of an electron accelerated through \(100\,V\).

A capacitor of \(10\,\mu F\) is charged to \(50\,V\). Calculate the energy stored in the capacitor.

For \(2N_2O_5 \rightarrow 4NO_2 + O_2\), if rate is \(1.02 \times 10^{-4}\) and \(k = 3.4 \times 10^{-5}\,s^{-1}\), find the concentration of \(N_2O_5\).

What is the oxidation state of Cobalt in \([Co(NH_3)_6]Cl_3\)?

Find the odd one out: \(5,\,10,\,20,\,40,\,100,\,150,\,200\).

If “APPLE” is “BQQMF”, how is “MANGO” written?

Find \(x\): \(2x + 3 = 7x - 8\).

Find \(x\): \(4(x - 2) = 3(x + 5)\).

A charged particle moves in a magnetic field \(B\) with velocity components both along and perpendicular to \(B\). What is its path?

A body of mass \(10\,\text{kg}\) is moving with a velocity of \(20\,\text{m/s}\). What is the kinetic energy?