List of top Questions asked in VITEEE

The points A(4, -2, 1), B(7, -4, 7), C(2, -5, 10), and D(-1, -3, 4) are the vertices of a:
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:
Negation of the statement \( (p \land r) \rightarrow (r \lor q) \) is:
The length of the perpendicular from the point \( (1, -2, 5) \) on the line passing through \( (1, 2, 4) \) and parallel to the line given by \( x + y - z = 0 \) and \( x - 2y + 3z - 5 = 0 \) is:
The probability distribution of a random variable is given below: \[\begin{array}{|c|c|c|c|c|c|c|c|c|} \hline X = x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline P(X = x) & 0 & K & 2K & 2K & 3K & K^2 & 2K^2 & 7K^2 + K \\ \hline \end{array}\]

Find \( P(0<X<5) \).

If the two lines \( l_1: \frac{x - 2}{3} = \frac{y + 1}{-2} = \frac{z - 2}{0} \) and \( l_2: \frac{x - 1}{1} = \frac{y + 3}{\alpha} = \frac{z + 5}{2} \) are perpendicular, then the angle between the lines \( l_2 \) and \( l_3: \frac{x - 1}{-3} = \frac{y - 2}{-2} = \frac{z - 0}{4} \) is:
The equation of a common tangent to the parabolas \( y = x^2 \) and \( y = -(x - 2)^2 \) is:
If \( \frac{1}{q + r}, \frac{1}{r + p}, \frac{1}{p + q} \) are in A.P., then:
For real numbers \(x\) and \(y\), we define \(x R y\) iff \(x - y + \sqrt{5}\) is an irrational number. Then, relation \(R\) is:
If  \(f(x) = \frac{\log(\pi + x)}{\log(e + x) }\), then the function is:
A, P, B are \( 3 \times 3 \) matrices. If \( |B| = 5 \), \( | BA^T | = 15 \), \( | P^T AP | = -27 \), then one of the values of \( | P | \) is:
The number of students who take both the subjects mathematics and chemistry is 30. This represents 10% of the enrolment in mathematics and 12% of the enrolment in chemistry. How many students take at least one of these two subjects?
100 mL of 0.04 N HCl aqueous solution is mixed with 100 mL of 0.02 N NaOH solution. The pH of the resulting solution is:
Phenol does not undergo nucleophilic substitution reaction easily due to:
Lanthanoid which has the smallest size in \( +3 \) state is:
Polarizability of halide ions increases in the order:
Using VSEPR theory, predict the species which has square pyramidal shape.
How many conformations are possible for ethane?
The decreasing order of reactivity towards dehydrohalogenation (\(E_1\)) reaction of the following compounds is: 
decreasing order
 
\(PCl_{5}\) 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?
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:
The greater the valence of the flocculating ion added, the greater is its power to cause precipitation of a colloid. This rule is:
The statement that is not correct for periodic classification of elements is:
The reaction 
Gattermann-Koch reaction
Hoffmann bromamide degradation reaction is shown by which of the following?
Hoffmann bromamide