List of top Questions asked in MHT CET

If A is a matrix of order 2 and I is the identity matrix of order 2 such that $A^{2}-4A+3I=0$ then $(A+3I)^{-1}=$

In a triangle PQR with usual notations, $\angle R=\frac{\pi}{2}$. If $\tan\frac{P}{2}$ and $\tan\frac{Q}{2}$ are the roots of the equation $ax^{2}+bx+c=0(a\ne0),$ then}

In a triangle ABC with usual notations if $\angle A=30^{\circ}$, then the value of $(1+\frac{a}{c}+\frac{b}{c})(1+\frac{c}{b}-\frac{a}{b})=$

If p,q,r,s are statements, where: $p:A^{2}-B^{2}=(A-B)(A+B)$ for matrices $AB\ne BA$; $q:5\le5$; $r:{^{8}C_{1}+{}^{8}C_{2}+...+^{8}C_{8}=256}$; $s$: Max value of ${}^{8}C_{r}$ is 70. The statement with truth value true is:

The minimum value of $ax+by$ where $xy=c^{2}$ is}

If $x$ and $y$ are sides of two squares such that $y=x-x^{2}$, then the rate of change of area of the second square with respect to that of the first square is}

The function $f(x)=[x(x-2)]^{2}$ is increasing in the set}

The acute angle between the line $4x-2y+13=0$ and the line which makes equal intercepts with the co-ordinate axes is

$\int_{0}^{1}x|x-\frac{1}{2}|dx=$

Let $f(x)=\begin{cases}\frac{x^{4}-5x^{2}+4}{|(x-1)(x-2)|}&,x\ne1,2\\ 6&,x=1
12&,x=2\end{cases}$. Then $f(x)$ is continuous on the set}

Which of the following statement is a tautology?

Identify neutral complex from following.

Which from following polymers is used to obtain surgical sutures?

Which of the following net cell reaction takes place in a galvanic cell containing copper electrode and standard hydrogen electrode? $E^{\circ}(Cu^{2+}|Cu) = +0.34 V$

What is pH of weak dibasic acid, that is 2% dissociated in its M/100 solution at 298 K?

Identify from following the correct set of thermodynamic conditions for the reaction to be spontaneous at all temperature.

Identify role of glycerol in following reaction: $2H_{2}O_{2(l)} \xrightarrow{glycerol} 2H_{2}O_{(l)} + O_{2(g)}$

Identify the product formed in the following reaction: $CH_{3}CH_{2}MgBr \xrightarrow[ii)~dil.~HCl]{i)~Dry~ice/dry~ether} Product$

Which of the following is a Fittig reaction?

The slope of a graph $\log[A]_t$ versus 't' for first order reaction is $-2.5\times10^{-3}s^{-1}$. Find rate constant of the reaction?

The attractive interactions between cations and mobile electrons in metallic solid is called

Calculate the mole fraction of pure liquid B in solution if total vapour pressure of solution, vapour pressure of pure liquid A and vapour pressure of pure liquid B are 500 mm Hg, 400 mm Hg and 575 mm Hg respectively at given temperature.

Identify weak field ligand from following.

What happens to the emf for the cell, $Zn|Zn_{(aq)}^{2+}||Ag_{(aq)}^{+}|Ag_{(s)}$ if concentration of $Ag^{+}$ decreases to 0.1 M?

What is the value of spin only magnetic moment for $Cu^{2+}$ in BM?