List of top Questions asked in KEAM

If the complex number \( 2 + i \) is rotated through an angle \( 90^\circ \) in the anti-clockwise direction about the origin in the complex plane, then the resulting complex number is
If the complex number \( \frac{2 + i}{\lambda + i} \) lies on the line \( y = x \) of the first quadrant, then the value of \( \lambda \) is equal to
Let \( f(x) = 6x^2 + 9x + 10 \) and \( g(x) = x^2 - 9x - 9 \). Then the value of \( (f \circ g)(10) \) is
If \( x \) satisfies the inequality \( -3<\frac{1}{2} + \frac{-3x}{2} \leq 6 \), then \( x \) lies in the interval
The range of the function \( f(x) = 8 + \sqrt{x - 5} \) is:

Let \( f(x) = \sqrt{4 - x^2} \), \( g(x) = \sqrt{x^2 - 1} \). Then the domain of the function \( h(x) = f(x) + g(x) \) is equal to:

Which of the following vitamin deficiency causes increased fragility of RBCs and muscular weakness?
Kjeldahl method can be used to estimate nitrogen in
The melting point of \( \beta \)-form of crystalline glucose is
The decreasing order of basic strength in aqueous solution of amines is
Compound ‘X’ (C\(_6\)H\(_6\)O) reacts with aqueous NaOH to give compound ‘Y’. ‘Y’ reacts with CO\(_2\) followed by acidification to give compound ‘Z’. The compounds X, Y and Z are respectively
Which of the following statement is incorrect?

The reagents and conditions (X) required for the following conversion 

Which of the following substitution reaction with methane requires HIO\(_3\) as an oxidising agent?
Which of the following statement is incorrect with Kolbe’s electrolytic method?
The IUPAC name of HOCH\(_2\)(CH\(_2\))\(_3\)CH\(_2\)COCH\(_3\) is
The coordination number of Pt and Fe in the complexes [PtCl\(_6\)]\(^{2-}\) and [Fe(C\(_2\)O\(_4\))\(_3\)]\(^{3-}\) are respectively
The catalyst used in the Wacker process is
Which of the following is an acidic oxide?
Lanthanides (Ln) when heated with carbon at 2773K form product with general formula
Which of the following tripositive ion has smallest size?
Which of the following has the least atomic radius?
Radioactive decay follows
Which of the following compound has the lowest boiling point?
The conductivity of 0.02 mol L\(^{-1}\) KCl solution is 0.248 S m\(^{-1}\). Its molar conductivity is