List of top Questions asked in VITEEE

The solution of \( D^2 + 16y = \cos 4x \) is:
Determine which one of the following relations on \( X = \{1, 2, 3, 4\} \) is not transitive.
Find the number of ways in which five large books, four medium-size books, and three small books can be placed on a shelf so that all books of the same size are together.
Consider the set \( Q \) of rational numbers. Let \( * \) be the operation \( a * b = a + b - ab \). The identity element under \( * \) is:
The statement \( p \to q \) is equivalent to:
In rolling two fair dice, what is the probability of obtaining a sum greater than 3 but not exceeding 6?
Team A has probability \( \frac{2}{3} \) of winning whenever it plays. Suppose A plays four games. What is the probability that A wins more than half of its games?
An unprepared student takes five questions of true-false type quiz and guesses every answer. What is the probability that the student will pass the quiz if at least four correct answers is the passing grade?
The probability density \( f(x) \) of a continuous random variable is given by \( f(x) = K e^{-|x|} \) for \( -\infty < x < \infty \). Then the value of \( K \) is:
The number of real tangents through \( (3, 5) \) that can be drawn to the ellipses \( 3x^2 + 5y^2 = 32 \) and \( 25x^2 + 9y^2 = 450 \) is:
In a triangle ABC, \( 5 \cos C + 6 \cos B = 4 \) and \( 6 \cos A + 4 \cos C = 5 \), then:
The length of the shortest distance between the lines \( \mathbf{r} = 3i + 5j + 7k + \lambda(2i - 2j + 3k) \) and \( \mathbf{r} = -i - j + k + \mu(7i - 6j + k) \) is:
Activation of benzene ring in aniline can be decreased by treating with:
The O–H stretching vibration of alcohols absorbs in the region 3700–3500 cm\(^{-1}\). The O–H stretching of carboxylic acids absorbs in the region:
The sequence of basic strength of alkyl amines follows the order:
How many lattice points belong to a face-centered cubic unit cell?
In the presence of magnetic field \( B \) and electric field \( E \), the total force on a moving charged particle is:
A galvanometer has a resistance of 50Ω. If a resistance of 12Ω is connected across its terminals, the total current flow through the galvanometer is:
What is the least value of k such that the function x$^2$ + kx + 1 is strictly increasing on (1,2)
In a P-type semiconductor, the acceptor impurity produces an energy level
In the presence of magnetic field ?B? and electric field ?E?, the total force on a moving charged particle is
In Young's double slit experiment intensity at a point is (1/4) of the maximum intensity. Angular position of this point is
A proton enters a magnetic field parallel to the direction of the field. Then, the path followed by it is
A cord attached to a vibrating tuning fork is divided into six segments under tension of $36 \,N$. It will be divided into fowl segments, if the tension is:
The variation of the intensity of magnetisation (I) with respect to the magnetising field (H) in a diamagnetic substance is described by the graph