List of top Questions asked in VITEEE

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:
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 coefficient of \( x^{50} \) in \( (1 + x)^{101} (1 - x + x^2)^{100} \) is:
Lanthanoid which has the smallest size in \( +3 \) state is:
The reaction 
Gattermann-Koch reaction
Intermolecular forces in nylon-6, 6 are:
For a person, whose monthly salary is Rs 6,000 p.m., how many items are there on which he has to spend more than Rs 1,000 p.m.?
The monthly salary for a person who follows the same expense pattern, but has a petrol expense of Rs 500 p.m., is:
In the following figure, how many educated people are employed
many educated people are employed
A man is facing west. He runs 45° in the clockwise direction and then another 180° in the same direction and then 270° in the anticlockwise direction. Which direction is he facing now?
In a class of 20 students, Alisha’s rank is 15th from the top. Manav is 4 ranks above Alisha. What is Manav’s rank from the bottom?
In this question, there are three statements followed by conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follow from the three statements. 
Statements:
  • All books are ledgers.
  • All pens are keys.
  • Some pens are books.
Conclusions:
  • I. Some ledgers are keys.
  • II. Some keys are books.
The wavelength (in cm) of the second line in the Lyman series of the hydrogen atomic spectrum is (Rydberg constant \( R \, \text{cm}^{-1})\).
Polarizability of halide ions increases in the 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?
Which of the following statements is false?
How many electrons are involved in the following redox reaction? \[ \text{Cr}_2\text{O}_7^{2-} + \text{Fe}^{2+} + \text{C}_2\text{O}_4^{2-} \rightarrow \text{Cr}^{3+} + \text{Fe}^{3+} + \text{CO}_2 \quad (\text{Unbalanced}) \] 
 
The IUPAC name for
1-chloro-4-methyl-2-nitrobenzene
The decreasing order of reactivity towards dehydrohalogenation (\(E_1\)) reaction of the following compounds is: 
decreasing order
 
At 25°C and 1 atm pressure, the enthalpy of combustion of benzene (l) and acetylene (g) are \(3268 \, \text{kJ mol}^{-1}\) and \(1300 \, \text{kJ mol}^{-1}\), respectively. The change in enthalpy for the reaction 
the enthalpyis
For which one of the following sets of four quantum numbers, an electron will have the highest energy? 
quantum numbers
Using VSEPR theory, predict the species which has square pyramidal shape.
Which of the following relation is not correct?
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:
Which of the following tests is positive for the given compound [A]? 
tests is positive