List of top Questions asked in KEAM

Find the value of \[ \left| \left( \frac{1+i}{\sqrt{2}} \right)^{2024} \right|. \]
The observed molecular weight of a 1:1 strong electrolyte is 117 g mol\(^{-1}\) as determined by the depression of freezing point method. Its theoretical molecular weight is 60 g mol\(^{-1}\). The percentage dissociation of the electrolyte is:
Thermal decomposition of a compound X follows first order kinetics. The initial concentration of X is 2 mol L\(^{-1}\). It decreased to 0.125 mol L\(^{-1}\) in one hour at 400K. What is the half-life period of the reaction at 400K? (log 2 = 0.3010)
In which of the following equilibrium, increase in pressure shifts the equilibrium in the forward direction?
Enthalpy of combustion of ethylene gas at constant pressure of 1 atm and at 300 K is -1410 kJ mol\(^{-1}\). The enthalpy change for the reaction at constant volume and at the same temperature is about (R = 8.3 J K\(^{-1}\) mol\(^{-1}\)):
For which of the following molecules, resonance structures are necessary to describe the bonding satisfactorily?
The bond order of \( O_2 \) molecule and its magnetic property are respectively:
Which of the following 3d block element exhibits +2, +3, +4, +5, +6 and +7 oxidation states?
Which of the following explains why dimethyl ether has lower boiling point than its isomeric compound, ethanol?
The IUPAC name of the co-ordination compound \([Co(NH_3)_4(H_2O)Cl]Cl_2\) is:
Which of the following cannot be prepared by the reduction of either a ketone or an aldehyde with NaBH\(_4\) in methanol?
In Dumas method of nitrogen estimation, 0.14 g of an organic compound gave 22.4 mL of nitrogen at STP. The percentage of nitrogen in the compound is:

Which of the following carboxylic acids has the highest pKa?
 

The volume of the parallelepiped whose coterminous vectors are given by the vectors \[ \overrightarrow{a} = i - j + k, \quad \overrightarrow{b} = 3i + j - k, \quad \overrightarrow{c} = 5i + 2j - 7k \] is (in cubic units):
If \[ \sin^{-1} x + \cos^{-1} y = 0, \] then \( x^2 + y^2 \) is equal to:

What is the total number of sigma bonds found in the following compound?
\[ \text{CH}_3\text{CH} = \text{C} = \text{CH} - \text{C} \equiv \text{C} - \text{H} \]

Cheilosis disease and digestive disorders are caused by the deficiency of:
A six faced fair die is rolled for a large number of times. Then, the mean value of the outcome is 
If the median of the observations \(4,6,7,x,x+2,12,12,13\) arranged in an increasing order is 9,then the variance of these observations is 

For any real number \(x\), the least value of \(4cosx-3sinx+5\) is ?

Let \(S=\){\(n∈NIn^3+3n^2+5n+3\) is not divisible by \(3\)}.Then, which of the following statements is true about \(S\)

In a linear programming problem ,the restrictions under which the objective function is to be optimized are called as?
Suppose the point \(P(1,1)\) is translated to \(Q\) in the direction of y = 2x. If \(PQ = 1\),then Qis
A thin particle moves from \((0,1)\) and gets reflected upon hitting the x-axis at \((√3,0)\). Then the slope of the reflected line is ?

The minimum of \(f(x)=\sqrt{(10-x^2)}\) in the interval \([-3,2]\) is