List of top Questions asked in KEAM

Real part of \[ \left( \frac{1+i}{1-i} \right) \left( \frac{2+i}{2-i} \right) \] is:

The value of \[ \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{\cos^2 x}{1 + 2^{-x}} \, dx \] is equal to:

The integral \( \int \tan^5 x \sec^2 x \, dx \) is equal to:
Cheilosis disease and digestive disorders are caused by the deficiency of:

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

Which of the following carboxylic acids has the highest pKa?
 

Which of the following base is not present in RNA molecule?
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 is the incorrect statement with regard to 1-phenylethanol?
The following reaction:
\[ {CH}_3{Br} + {AgF} \rightarrow {CH}_3{F} + {AgBr} \] is known as:
Which of the following cannot be prepared by the reduction of either a ketone or an aldehyde with NaBH\(_4\) in methanol?
The alkene that exhibits optical isomerism is:
In which of the following reaction Lindlar's catalyst is used?
The IUPAC name of the co-ordination compound \([Co(NH_3)_4(H_2O)Cl]Cl_2\) is:
Which lanthanide element has half-filled 4f orbitals in its +3 state?
Which of the following explains why dimethyl ether has lower boiling point than its isomeric compound, ethanol?
Which of the following 3d block element exhibits +2, +3, +4, +5, +6 and +7 oxidation states?
The bond order of \( O_2 \) molecule and its magnetic property are respectively:
For which of the following molecules, resonance structures are necessary to describe the bonding satisfactorily?
For which one of the following equilibria, \( K_P = K_C \)?
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\(^{-1}\)):
In which of the following equilibrium, increase in pressure shifts the equilibrium in the forward direction?
The sum of the oxidation numbers of all the carbon and oxygen atoms in carbonate ion is:
Some enzyme catalysed reactions which occur at metal surfaces are:
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)