List of top Questions asked in AP EAMCET

If the \(2^{\text{nd}}\), \(3^{\text{rd}}\), and \(4^{\text{th}}\) terms in the expansion of \( (x + a)^n \) are 96, 216, and 216 respectively, and \( n \) is a positive integer, then \( a + x \) is:
If \( \alpha \) and \( \beta \) are two distinct negative roots of the equation \( x^5 - 5x^3 + 5x^2 - 1 = 0 \), then the equation of least degree with integer coefficients having \( \sqrt{-\alpha} \) and \( \sqrt{-\beta} \) as its roots is:
If both the roots of the equation \( x^2 - 6ax + 2 - 2a + 9a^2 = 0 \) exceed 3, then:
If \( \alpha, \beta \) are the roots of the equation \( x^2 - 6x - 2 = 0 \), \( \alpha > \beta \), and \( a_n = \alpha^n - \beta^n, n \geq 1 \), then the value of \( \frac{a_{10} - 2 a_8}{2 a_9} \) is:
All values of \( (8i)^{\frac{1}{3}} \) are:
The locus of the complex number \( Z \) satisfying \( \arg \left( \frac{Z - 1}{Z + 1} \right) = \frac{\pi}{4} \) is:
If \( A = \begin{bmatrix} a & 1 & 2 \\ 1 & b & 3 \\ c & 1 & 3 \end{bmatrix} \) and \( \text{Adj } A = \begin{bmatrix} 7 & -1 & -5 \\ -3 & 9 & 5 \\ 1 & -3 & 5 \end{bmatrix} \), then \( a^2 + b^2 + c^2 = \) ?
If the system of equations has a unique solution, find the values of \( a \) and \( b \).

Arrange the following in decreasing order of their basicity: 

Match the following reagents with the products obtained when they react with a ketone: 

What are the major products X and Y respectively in the following reactions? \[ {(CH}_3{)}_3{COONa} + {CH}_2 {CH} {Br} \rightarrow X \] \[ {(CH}_3{)}_3{COCH}_2 {CH}_3 + {CH}_3{COO}{Na} \rightarrow Y \]
An isomer of C₆H₁₂ on reaction with Br₂/ light gave only one isomer C₆H₁₁Br (X). Reaction of X with AgNO₃ gave Y as the major product. What is Y?

The major products X and Y respectively from the following reactions are 

Match the following

Carrot and curd are sources for the vitamins respectively.
Which of the following structure of proteins represents its constitution?
The common monomer for both Terylene and Glyptal is
How many of the following ligands are stronger than H₂O? \[ {S}^{2-}, \, {Br}^-, \, {C}_2{O}_4^{2-}, \, {CN}^-, \, {en}, \, {NH}_3, \, {CO}, \, {OH}^- \]
Which of the following lanthanides have [Xe] 4f⁵ 5d¹ 6s² configuration in their ground state?
Impure silver ore + CN⁻ + H₂O → [X]⁻ + OH⁻
[X]⁻ + Zn → [Y]²⁺ + Ag (pure)
The co-ordination numbers of the metals in [X], [Y] are respectively:
Which of the following is incorrectly matched?
The correct statement regarding chemisorption is
The rate constant of a first-order reaction is \( 3.46 \times 10^3 \, {s}^{-1} \) at 298K. What is the rate constant of the reaction at 350 K if its activation energy is 50.1 kJ mol\(^{-1}\) (R = 8.314 J K\(^{-1}\) mol\(^{-1}\))?
The standard free energy change (\( \Delta G^\circ \)) for the following reaction (in kJ) at 25°C is \[ 3Ca(s) + 2 Au^{+}(aq, 1M) \rightleftharpoons 3Ca^{2+}(aq, 1M) + 2Au(s) \] (given: \( E^\circ_{{Au}^{3+/2+}} = +1.50 \, V \), \( E^\circ_{{Ca}^{2+/Ca}} = -2.87 \, V \), \( F = 96500 \, {C mol}^{-1} \))
A solution was prepared by dissolving 0.1 mole of a non-volatile solute in 0.9 moles of water. What is the relative lowering of vapor pressure of the solution?