List of top Questions asked in VITEEE

Negation of the statement \( (p \land r) \rightarrow (r \lor q) \) is:
The number of different permutations of all the letters of the word "PERMUTATION" such that any two consecutive letters in the arrangement are neither both vowels nor both identical is:
The coefficient of \( x^{50} \) in \( (1 + x)^{101} (1 - x + x^2)^{100} \) is:
If \( \frac{1}{q + r}, \frac{1}{r + p}, \frac{1}{p + q} \) are in A.P., then:
The coordinates of the foot of perpendicular from the point \( (2, 3) \) on the line \( y = 3x + 4 \) is given by:
The circle touching the y axis at a distance 4 units from the origin and cutting off an intercept 6 from the x axis is: (A) \(x^2 + y^2 \pm 10x - 8y + 16 = 0\)
The points A(4, -2, 1), B(7, -4, 7), C(2, -5, 10), and D(-1, -3, 4) are the vertices of a:
If A, B, C, D are the angles of a quadrilateral, then \[ \frac{\tan A + \tan B + \tan C + \tan D}{\cot A + \cot B + \cot C + \cot D} = \]
Evaluate the limit: \[ L = \lim_{x \to 0} \frac{35^x - 7^x - 5^x + 1}{(e^x - e^{-x}) \ln(1 - 3x)} \]
If \( z_r = \cos \frac{r\alpha}{n^2} + i \sin \frac{r\alpha}{n^2} \), where \( r = 1, 2, 3, ..., n \), then the value of \( \lim_{n \to \infty} z_1 z_2 z_3 ... z_n \) is:
In four schools \( B_1, B_2, B_3, B_4 \), the number of students is given as follows: \[ B_1 = 12, \quad B_2 = 20, \quad B_3 = 13, \quad B_4 = 17 \] A student is selected at random from any of the schools. The probability that the student is from school \( B_2 \) is:
For real numbers \(x\) and \(y\), we define \(x R y\) iff \(x - y + \sqrt{5}\) is an irrational number. Then, relation \(R\) is:
Lanthanoid which has the smallest size in \( +3 \) state is:
Which of the following alkyl halides will undergo \( S_N1 \) reaction most readily?
Phenol does not undergo nucleophilic substitution reaction easily due to:
The reaction 
Gattermann-Koch reaction
Hoffmann bromamide degradation reaction is shown by which of the following?
Hoffmann bromamide
Which of the following does not form a chelate?
Polarizability of halide ions increases in the order:
The statement that is not correct for periodic classification of elements is:
\(PCl_{5}\) is dissociating 50% at 250°C at a total pressure of \( P \) atm. If the equilibrium constant is \( K_p \), then which of the following relation is numerically correct?
Which of the following statements is false?
The decreasing order of reactivity towards dehydrohalogenation (\(E_1\)) reaction of the following compounds is: 
decreasing order
 
Specific conductance of 0.1 M HNO\(_3\) is \(6.3 \times 10^{-2} \, \text{ohm}^{-1} \, \text{cm}^{-1}\). The molar conductance of the solution is:
How many conformations are possible for ethane?