List of top Questions asked in VITEEE

For the binary operation defined on \( \mathbb{R} - \{1\} \) such that: \[ a b = \frac{a}{b + 1} \] which of the following is true?
The sum of the series \[ \frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \dots \] up to 15 terms is:
The equation of the circle with centre (0,2) and radius 2 is \[ x^2 + y^2 - my = 0. \] The value of \( m \) is:
Bag P contains 6 red and 4 blue balls, and Bag Q contains 5 red and 6 blue balls. A ball is transferred from Bag P to Bag Q, and then a ball is drawn from Bag Q. What is the probability that the ball drawn is blue?

If \[ \sin x + \cos x = \frac{1}{5} \] then \( \tan 2x \) is: 

In $\triangle ABC$, the midpoints of the sides $AB$, $BC$, and $CA$ are respectively $(1, 0, 0)$, $(0, m, 0)$, and $(0, 0, n)$. Then, $$ \frac{AB^2 + BC^2 + CA^2}{1^2 + m^2 + n^2} \text{ is equal to:} $$ 
Evaluate: \[ \tan (\cos^{-1} \frac{4}{5}) + \tan^{-1} \frac{2}{3} \]
The minimum value of the function \[ y = x^4 - 2x^2 + 1 \] in the interval \( \left[\frac{1}{2}, 2 \right] \) is:
If \[ \frac{a^n + b^n}{a^{n-1} + b^{n-1}} \] is the arithmetic mean (A.M.) between \( a \) and \( b \), then the value of \( n \) is:

The area of the region bounded by the ellipse $$\frac{x^2}{16} + \frac{y^2}{9} = 1$$ is: 

Negation of the Boolean expression \[ p \Leftrightarrow (q \Rightarrow p) \] is:
If \[ R = \{ (x, y) : x \text{ is exactly } 7\text{cm taller than } y \} \] then \( R \) is:

If 

then \( {Adj} (A) \) is equal to:

The integral \[ \int x^n (1 + \log x) \, dx \] is equal to: 

The number of distinct real roots of the equation: \[ x^7 - 7x - 2 = 0 \] is:
The reason for the greater range of oxidation states in actinoids is attributed to:
Indicate the complex ion which shows geometrical isomerism.
Reaction of \( C_6H_5CH_2Br \) with aqueous sodium hydroxide follows:
The bond dissociation energies of \( X_2, Y_2, \) and \( XY \) are in the ratio of 1:0.5:1. If \( \Delta H \) for the formation of \( XY \) is -200 kJ mol\(^{-1}\), what is the bond dissociation energy of \( X_2 \)?
Blister copper is:

Which of the following reactions will yield benzaldehyde as a product? 
 

 

Choose the correct answer from the following options:
 

Which of the following complexes shows \( sp^3d^2 \) hybridization?
2-Pentene contains:

Sucrose, which is dextrorotatory in nature, after hydrolysis gives glucose and fructose, among which: 
(i) Glucose is laevorotatory and fructose is dextrorotatory.
(ii) Glucose is dextrorotatory and fructose is laevorotatory.
(iii) The mixture is laevorotatory.
(iv) Both are dextrorotatory.
 

Which of the following sets of quantum numbers is correct for an electron in a 4f orbital?