List of top Questions asked in VITEEE- 2016

The value of $ (1 + \omega - \omega^2)^7$ is

If $f(x) = x^2 , g(x) = 2x,0 \leq x \leq 2$ then the value of $I(x) = \int\limits_0^2 max (f(x), g(x))$ is

A square current carrying loop is changed to a circular loop in time $t_1$. Then

A (+)vely charged particle is placed near an infinitely long straight conductor where there is zero gravity. Then

If the tangent to the function $y = f(x) $ at $(3,4)$ makes an angle of $\frac{3 \pi }{4}$ with the positive direction of x-axis in anticlockwise direction then $f ' (3)$ is

In a culture the bacteria count is 1,00,000. The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000 if the rate of growth of bacteria is proportional to the number present.

The current in an $L-R$ circuit builds up to $\left(3 / 4^{\text {th }}\right)$ of its steady state value in $4$ seconds. The time constant of this circuit is

The protein present in the hair is

The wavenumber of the first emission line in the Balmer series of H-Spectrum is: [$R=$ Rydberg constant]

In given circuit, all resistances are of $10 \Omega$. Current flowing through ammeter is

Phenol undergoes electrophilic substitution more easily than benzene because

For hydrogen-oxygen fuel cell, the cell reaction is \(2H_2(g)+O_2(g)\rightarrow2H_2O(I)\), If \(\triangle{G}\degree_{f}(H_2O)=-237.2KJmol^{-1}\) then emf ofthis cell is

Group 15 elements have more electron gain enthalpy than group 16-elements. The correct reason for this is

If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is

If $g(x)$ is a polynomial satisfying $g (x) g(y) = g(x) + g(y) + g(xy) - 2 $ for all real $x$ and $y$ and $g (2) = 5$ then $\Lt_{x \to 3} g(x)$ is

If $e^x = y + \sqrt{ 1 + y^2}$ , then the value of y is

The probability of India winning a test match against Australia is $\frac{1}{2}$ assuming independence from match to match. The probability that in a match series India�s second win occurs at third test match is

If $g(x)$ is a polynomial satisfying $g (x) g(y) = g(x) + g(y) + g(xy) - 2 $ for all real $x$ and $y$ and $g (2) = 5$ then $\Lt_{x \to 3} g(x)$ is

The equation of one of the common tangents to the parabola $y^2 = 8x$ and $x^2 + y^2 - 12x + 4 = 0$ is