List of top Questions asked in AP EAMCET

Identify the correct set from the following.

Chlorobenzene (X) when reacted with reagent ‘A’ gets converted to phenol (Y). The major product obtained from nitration of X gets converted to p-nitrophenol (Z) by reaction with reagent B. What are A and B respectively?

Match the following reactions with the product obtained from them:

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

Arrange the following in decreasing order of their acidity:

What are X and Y in the following set of reactions?

An alkyl halide $ C_3H_7Cl $, on reaction with a reagent X, gave the major product Y ($ C_4H_7N $). Y on hydrolysis released a gas, which turns red litmus to blue. What are X and Y?

The domain of the real valued function $ f(x) = \frac{1}{\sqrt{log_{0.5}(2x-3)}} + \sqrt{4 - 9x^2} $ is:

The system of equations $ x + 2y + 3z = 6 $, $ x + 3y + 5z = 9 $, $ 2x + 5y + az = 12 $ has no solution when $ a = $:

If a complex number $ z $ is such that $ \frac{z-2i}{z-2} $ and the locus of $ z $ is a closed curve, then the area of the region bounded by that closed curve and lying in the first quadrant is:

The real part of $ \frac{\left( \cos a + i \sin a \right)^6}{\left( \sin b + i \cos b \right)^8} $ is:

If $ \alpha, \beta, \gamma $ are roots of the equation $ x^3 + ax^2 + bx + c = 0 $, then $ \alpha^{-1} + \beta^{-1} + \gamma^{-1} $ is:

The number of different permutations that can be formed by taking 4 letters at a time from the letters of the word "REPETITION" is:

If $ \frac{1}{x^4 + 1} = \frac{Ax + B}{x^2 + \sqrt{2}x + 1} + \frac{Cx + D}{x^2 - \sqrt{2}x + 1} $, then $ BD - AC = $:

The smallest positive value (in degrees) of $ \theta $ for which $ \tan(\theta + 100^\circ) = \tan(\theta + 50^\circ) \tan(\theta - 50^\circ) $ is valid, is:

Statement (S1): $ \sin 55^\circ + \sin 53^\circ - \sin 19^\circ - \sin 17^\circ = \cos 2^\circ $
Statement (S2): The range of $ \frac{1}{3 - \cos 2x} $ is $ \left[ \frac{1}{4}, \frac{1}{2} \right] $ Which one of the following is correct?

In $\Delta ABC$ if $B = 90^\circ$ then $2(r + R) = $

In a triangle ABC, if $ (a-b)(s-c) = (b-c)(s-a) $, then $ r_1 + r_3 = $:

Let ABC be an equilateral triangle of side $a$. M and N are two points on the sides AB and AC respectively such that $AN = K \cdot AC$ and $AB = 3 \cdot AM$. If the vectors $BN$ and $CM$ are perpendicular, then $K = $ ?

Let a and b be two non-collinear vectors of unit modulus. If u = a − (a · b)b and v = a × b, then ∥v∥ = ?

Find the shortest distance between the skew lines $\vec{r} = (-\hat{i} - 2\hat{j} - 3\hat{k}) + t(3\hat{i} - 2\hat{j} - 2\hat{k})$ and $\vec{r} = (7\hat{i} + 4\hat{k}) + s(\hat{i} - 2\hat{j} + 2\hat{k})$.

If 7 different balls are distributed among 4 different boxes, then the probability that the first box contains 3 balls is:

Out of the first 5 consecutive natural numbers, if two different numbers x and y are chosen at random, then the probability that x⁴- y⁴is divisible by 5 is:

If two cards are drawn randomly from a pack of 52 playing cards, then the mean of the probability distribution of number of kings is:

In a consignment of 15 articles, it is found that 3 are defective. If a sample of 5 articles is chosen at random from it, then the probability of having 2 defective articles is: