List of top Questions asked in KEAM

The dimensions of torque are:

Given the Linear Programming Problem: 
Maximize \( z = 11x + 7y \) subject to the constraints: \( x \leq 3 \), \( y \leq 2 \), \( x, y \geq 0 \). 
Then the optimal solution of the problem is:

If \( f(x) = \begin{cases} x^2 & \text{for } x < 0 \\ 5x - 3 & \text{for } 0 \leq x \leq 2 \\ x^2 + 1 & \text{for } x > 2 \end{cases} \), then the positive value of \( x \) for which \( f(x) = 2 \) is:
The coefficient of linear expansion of aluminum is \( 2.5 \times 10^{-5} \, {K}^{-1} \). Its coefficient of volume expansion in \( {K}^{-1} \) is:
A spherical metal shell \( A \) of radius \( R_A \) and a solid metal sphere \( B \) of radius \( R_B \) (\( R_B<R_A \)) are kept far apart and each is given charge \( +Q \). If they are connected by a thin metal wire and \( Q_A \) and \( Q_B \) are the charge on \( A \) and \( B \), respectively, then:
The energy required by the electron to cross the forbidden band for Germanium is:
The mean deviation of the numbers 3, 10, 10, 4, 7, 10 and 5 from the mean is:
The INCORRECT statement is:

The kinetic energy of a body is increased by 21%. The percentage increase in its linear momentum is:

If the displacement of a body moving on a horizontal surface is 151.25 cm in a time interval of 2.25 s, then the velocity of the body in the correct number of significant figures in cm s\(^{-1}\) is:
The molarity of sodium hydroxide in the solution prepared by dissolving 6 g in 600 mL of water is (molar mass of NaOH = 40 g mol\(^{-1}\)):
The hybridization involved in the metal atom of \([CrF_6]^{3-}\) is:
Which of the following is used as anode in mercury cell?
In a process, 600 J of heat is absorbed by a system and 375 J of work is done by the system. The change in internal energy of the process is:
The average oxidation state of sulphur in the tetrathionate ion is:
The mass percentage of glucose in acetonitrile when 6 g of glucose is dissolved in 294 g of acetonitrile is:
The type of d-d transition of the electron occurs in \([Ti(H_2O)_6]^{3+}\) is:
The increasing order of field strength of ligands in the spectrochemical series is:
Which of the following is used in the treatment of lead poisoning?
The number of unpaired electrons in \([CoF_6]^{3-}\) is:
A tertiary alkyl halide (X), C\(_4\)H\(_9\)Br, reacted with alc.KOH to give compound (Y). Compound (Y) reacted with HBr in presence of peroxide to give compound (Z). The compounds (Y) and (Z) are respectively:
Evaluate \( \cos \left( \cot^{-1} \left( \frac{7}{24} \right) \right) \):
Let \( z \) be a complex number satisfying \( |z + 16| = 4|z + 1| \). Then:
The oscillating magnetic field in a plane electromagnetic wave is given by \(B_y = (8 \times 10^{-6}) \sin[2 \pi \times 10^{11} t + 200 \pi x] \) tesla. Then the wavelength of the electromagnetic wave (in cm) is:
A coordination compound of cobalt acts as an antipericious anemia factor is: