List of top Questions asked in MHT CET

Which among the following elements is not present in salvarsan?
Identify 'A' in the following reaction
C\(_2\)H\(_5\)OH + HCl \(\xrightarrow{A}\) C\(_2\)H\(_5\)Cl + H\(_2\)O
For first order reaction the slope of the graph of log\(_{10}\)[A] vs. time is equal to
What is the oxidation number of Ru in [Ru(NH\(_3\))\(_5\)H\(_2\)O]Cl\(_2\)?
Which among the following ionic species has least precipitating power?
Which polymer among the following does NOT contain ester linkage in it?
What will be the volume of oxygen gas produced, If the reaction
2 KClO\(_3\)(s) \(\rightarrow\) 2 KCl(s) + 3 O\(_2\)(g) \(\Delta H^\circ = -78 \, \text{kJ}\)
is carried out at S.T.P.?
Which of the following alcohol is more acidic?
The increasing order of reactivity of alkaline earth metals with water is
Identify the catalyst used in the manufacture of high-density polythene.
Which of the following reagents is used in the Hoffmann elimination reaction of amines?
P$_4$O$_{10}$ reacts with water to produce
If \( y = e^{\sin(\cosec^{-1}x)} \), then \( \dfrac{dy}{dx} \) is
If \( f(x) = e^{x}g(x) \), \( g(0) = 4 \), and \( g'(0) = 2 \), then \( f'(0) = \)
If \( f(x) = \frac{3x+4}{5x-7} \), \( x \neq \frac{7}{5} \), and \( g(x) = \frac{7x+4}{5x-3} \), \( x \neq \frac{3}{5} \), then \[ (g \circ f)(3) = \]

Sodium crystallizes in bcc structure with radius \(186 \times 10^{-8} \,\) \(\text{cm}. \)Calculate the edge length of the unit cell? 
 

Identify product A in the following reaction: 
\(\text{C}_6\text{H}_5\text{C(O)}\text{NH}_2 + \text{H}_2\text{O} + \text{HCl} \rightarrow A \)
 

A force \( (5i - 2j + 3k) \, \text{N} \) acts on a body of mass 2 kg and displaces it from \( (3i + 2j - k) \, \text{m} \) to \( (6i - j + 4k) \, \text{m} \). The work done is
Heat of combustion of \(\text{C(s)}\), \(\text{H}_2(g)\) and \(\text{C}_2\text{H}_6(g)\) are \(-x_1\), \(-x_2\) and \(-x_3\) respectively. Hence, the heat of formation of \(\text{C}_2\text{H}_6(g)\) is
The cumulative distribution function of a continuous random variable \( X \) is given by \( F(X = x) = \dfrac{\sqrt{x}}{2} \). Then \( P(X>1) \) is

If \(f(x) = \dfrac{2x + 3}{3x - 2}\), \( x \neq \dfrac{2}{3} \), then \( f \circ f \) is{

With usual notations in \( \triangle ABC \), if \( C = 90^\circ \), then \( \tan^{-1}\left(\dfrac{a}{b+c}\right) + \tan^{-1}\left(\dfrac{b}{c+a}\right) \) is
If \( u = \tan^{-1}\!\left(\dfrac{1+x^2-1}{x}\right) \) and \( v = \tan^{-1}\!\left(\dfrac{2x(1-x^2)}{1-2x^2}\right) \), then \( \dfrac{du}{dv} \) at \( x = 0 \) is
If the elements of matrix \( A \) are the reciprocals of the elements of the matrix \( \begin{pmatrix} 1 & \omega & \omega^2 \\ \omega & \omega^2 & 1 \\ \omega^2 & 1 & \omega \end{pmatrix} \), where \( \omega \) is a complex cube root of unity, then
Evaluate \( \int \frac{x^2}{(x+1)^2(x+2)^2} \, dx \)