List of top Questions asked in AP EAPCET

The correctly matched set of the following is:

Cobalt (III) chloride forms a green-colored complex ‘X’ with NH$_3$. Number of moles of AgCl formed when excess AgNO$_3$ solution is added to 100 mL of 1M solution of ‘X’ is:

Identify the correctly matched set from the following:

Given below are two statements:
I. Cytosine and guanine are formed in equal quantities in DNA hydrolysis.
II. Adenine and uracil are formed in equal quantities in RNA hydrolysis. The correct answer is:

Identify the correctly matched pair from the following:

What are Y and Z respectively in the following reaction sequence?

Hydrolysis of an alkyl bromide X (C$_4$H$_9$Br) follows first-order kinetics. Reaction of X with Mg in dry ether followed by treatment of D$_2$O gave Y. What is Y?

An alcohol $ X $ ($ C_4H_{10}O $) does not give turbidity with conc. HCl and ZnCl$_2$ at room temperature. $ X $ on reaction with reagent $ Y $ gives $ Z $. What are $ X $, $ Y $, and $ Z $ respectively?

Which of the following sets of reagents convert toluene to benzaldehyde?

What are X and Y respectively in the following reactions?

IUPAC names of the following compounds A and B are:

Let $ a>1 $ and $ 0<b<1 $. -∞$ f : \mathbb{R} \to [0, 1] $ is defined by $ f(x) = \begin{cases} a^x & \text{if } x<0 b^x & \text{if } 0 \leq x \leq 1 \end{cases} $, then $ f(x) $ is:

Sum of the positive roots of the equation: \[ \begin{vmatrix} x^2 + 2x + 2 & x + 2 & 1 \\ 2x + 1 & x - 1 & 1 \\ x + 2 & -1 & 1 \end{vmatrix} = is \; 0. \]

If the point $ P $ represents the complex number $ z = x + iy $ in the Argand plane and if \[ \frac{z\bar{z} + 1}{z - 1} \] is a purely imaginary number, then the locus of $ P $ is:

The set $ S = \{ z \in \mathbb{C} : |z + 1 - i| = 1 \} $ represents:

If $\cos \alpha + \cos \beta + \cos \gamma = \sin \alpha + \sin \beta + \sin \gamma = 0,$ then evaluate $(\cos^3 \alpha + \cos^3 \beta + \cos^3 \gamma)^2 + (\sin^3 \alpha + \sin^3 \beta + \sin^3 \gamma)^2 =$

If $\alpha$ and $\beta$ are two double roots of the equation: $$ x^2 + 3(a + 3)x - 9a = 0 $$ for different values of $a$ (where $\alpha > \beta$), then the minimum value of the equation: $$ x^2 + \alpha x - \beta = 0 $$ is:

If $ 2x^2 + 3x - 2 = 0 $ and $ 3x^2 + \alpha x - 2 = 0 $ have one common root, then the sum of all possible values of $ \alpha $ is:

If the sum of two roots of $ x^3 + px^2 + qx - 5 = 0 $ is equal to its third root, then $ p(q^2 - 4q) = $ ?

If a polygon of $ n $ sides has 275 diagonals, then $ n $ is:

The number of positive divisors of 1080 is:

If $ a_n = \sum_{r=0}^{n} \frac{1}{\binom{n}{r}} $, then $ \sum_{r=0}^{n} r \binom{n}{r} = $:

The coefficient of $ x^5 $ in the expansion of $ \left( 2x^3 - \frac{1}{3x^2} \right)^5 $ is:

Evaluate the infinite series: \[ 1 + \frac{1}{3} + \frac{1.3}{3.6} + \frac{1.3.5}{3.6.9} + \dots \text{ to } \infty = \]

Given the equation: $$ \frac{A}{x-a} + \frac{Bx + C}{x^2 + b^2} = \frac{1}{(x-a)(x^2 + b^2)} $$ then $ C $=