List of top Questions asked in TS EAMCET

The number of ways in which 15 identical gold coins can be distributed among 3 persons such that each one gets at least 3 gold coins is

According to Fajan's rules, which of the following is not correct about covalent character?

\(\frac{1}{3.6} + \frac{1}{6.9} + \frac{1}{9.12} + \dots\) up to 9 terms \(=\)
When 54 g of ice at \(-20^\circ C\) is mixed with 25 g of steam at \(100^\circ C\), then the final mixture at thermal equilibrium contains:
A stone is thrown vertically up from the top end of a window of height 1.8 m with a velocity of 8 m/s\(^1\). The time taken by the stone to cross the window during its downward journey is:
(Acceleration due to gravity \( g = 10 \) ms\(^{-2}\))
The maximum range of a projectile is 80 m. If the projectile is projected with the same speed at an angle of \( \frac{\pi}{12} \) with the horizontal, then the range of the projectile is:
The alloy formed by beryllium with 'X' is used in the preparation of high-strength springs. 'X' is:
A body moving with uniform acceleration travels a distance of 25 m in the fourth second and 37 m in the sixth second. The distance covered by the body in the next two seconds is
The relation between the current \( i \) (in ampere) in a conductor and the time \( t \) (in second) is given by \( i = 12t + 9t^2 \). The charge passing through the conductor between the times \( t = 2 \, \text{s} \) and \( t = 10 \, \text{s} \) is.
If the line \( 4x - 3y + p = 0 \) (where \( p + 3>0 \)) touches the circle \( x^2 + y^2 - 4x + 6y + 4 = 0 \) at the point \( (h,k) \), then the value of \( h - 2k \) is:
The displacement equations of sound waves produced by two sources are given by: \( y_1 = 5 \sin(400t) \) and \( y_2 = 8 \sin(408t) \), where \( t \) is time in seconds. If the waves are produced simultaneously, the number of beats produced per minute is:

Evaluate the integral: \[ \int \frac{\sec x}{3(\sec x + \tan x) + 2} \,dx \]

If the line \[ 2x + by + 5 = 0 \] forms an equilateral triangle with \[ ax^2 - 96bxy + ky^2 = 0, \] then \( a + 3k \) is: \
If all the numbers which are greater than 6000 and less than 10000 are formed with the digits \( 3,5,6,7,8 \) without repetition of the digits, then the difference between the number of odd numbers and the number of even numbers among them is:
Which of the following has the least electron gain enthalpy?
If the focus of an ellipse is \((-1,-1)\), equation of its directrix corresponding to this focus is \(x + y + 1 = 0\) and its eccentricity is \(\frac{1}{\sqrt{2}}\), then the length of its major axis is:
The set of all real values of \(x\) for which the expansion of: $$ \left( 125x^2 - \frac{27}{x} \right)^{-23} $$ is valid, is: 
X and Z respectively in the following reaction sequence are: \[ C_3H_6 \xrightarrow{X} Y \xrightarrow{C_6H_6/AlCl_3} Z \]
If the angle between the pair of lines given by the equation \(ax^2 + 4xy + 2y^2 = 0\) is \(45^\circ\), then the possible values of 'a' are
f is a real valued function satisfying the relation \(f\bigl(3x + \tfrac{1}{2x}\bigr) \;=\; 9x^2 + \tfrac{1}{4x^2}\). If \(f\bigl(x + \tfrac{1}{x}\bigr) = 1\) then \(x =\) ?

Suppose \( \theta_1 \) and \( \theta_2 \) are such that \( (\theta_1 - \theta_2) \) lies in the 3rd or 4th quadrant. If \[ \sin\theta_1 + \sin\theta_2 = \frac{21}{65} \quad \text{and} \quad \cos\theta_1 + \cos\theta_2 = \frac{27}{65} \] then \[ \cos\left(\frac{\theta_1 - \theta_2}{2}\right) = \] 

Among the 5 married couples, if the names of 5 men are matched with the names of their wives randomly, then the probability that no man is matched with the name of his own wife is ?

If 2 cards drawn at random from a well shuffled pack of 52 playing cards are from the same suit, then the probability of getting a face card and a card having a prime number is:
The ratio of the radii of a planet and the earth is \( 1:2 \), the ratio of their mean densities is \( 4:1 \). If the acceleration due to gravity on the surface of the earth is \( 9.8 \, ms^{-2} \), then the acceleration due to gravity on the surface of the planet is?
If the tangents \( x + y + k = 0 \) and \( x + ay + b = 0 \) drawn to the circle \( S : x^2 + y^2 + 2x - 2y + 1 = 0 \) are perpendicular to each other and \( k, b \) are both greater than 1, then find \( b - k \).