List of top Questions asked in MHT CET- 2026

If \(f(x) = \frac{1-x}{1+x}\), then \(f(f(cosx)) =\)
\(cos^{-1}(cos\frac{4π}{3})+sin^{-1}(sin\frac{4π}{3}) = \ldots\)
If \(A = \left[ \begin{array}{ccc}3 & 0 & 0 \\ 0 & -5 & 0 \\ 0 & 0 & 7\end{array} \right]\); \(B = \left[ \begin{array}{ccc}-1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4\end{array} \right]\) then, \((2A+3B)^{-1} =\) _______
If \(A = \left[ \begin{array}{cc}1 & -tan\frac{θ}{2} \\ tan\frac{θ}{2} & 1\end{array} \right]\) and \(B = \left[ \begin{array}{cc}1 & tan\frac{θ}{2} \\ -tan\frac{θ}{2} & 1\end{array} \right]\) then \(A^{-1}B\) is equal to
The statement pattern \([(p∧q)\rightarrow (\sim p∨r)]∨[(\sim p∨r)\rightarrow (p∧q)]\) is
Which of the following statements is/are False?
\(S_1:\exists \,n\in N\), such that \(n^2+n+2\) is divisible by 4.
\(S_2:\exists \,x\in N\), such that \(x-17 < 20\).
\(S_3:\forall \,n\in N,\,x^2+3x-10 = 0\).
\(S_4:\forall \,n\in N,\,n^2\geq 1\).
The negation of \((p∧q)\rightarrow ((p∨r)\rightarrow \,\sim q)\) is equivalent to ...
In \(△ABC\), with usual notation, if cot A, cot B, cot C are in arithmetic progression, then
In a test, there are 5 questions of the 'true or false' type. No student has got all the answers correct and the sequence of answers for every student is unique. The maximum number of students who could have appeared for the test is....
\(\frac{(cos2θ+isin2θ)^7}{(cos4θ+isin4θ)^3} =\)
If the equation \(ax^2+4xy-2y^2+4x+8y+1 = 0\) represents a pair of straight lines, then the coordinates of their point of intersection are.........
If the circles \(x^2+y^2 = 16\) and \(x^2+y^2+2ax+4y+4 = 0\) touch each other internally then \(a =\)
If the line \(3x+4y+k = 0\) touches the ellipse \(9x^2+16y^2 = 144\), then the value of k is.
The line \(y = 2x+c\) passes through a point that is equidistant from both the axes and lies in the first quadrant \((x > 0,y > 0)\). Then the value of c is...
If \(tanA\) and \(tanB\) are the roots of the equation \(5x^2-4x+1 = 0\), then the value of \(A+B\) is...
Which from following is a protein of muscles ?
Which from following enzymes cleaves glycosidic bond in sucrose?
Which from following polymer is obtained by addition polymerization?
Identify the polymer used to prepare disposable cups and plates.
Which from following is a first stage in preparation of viscose rayon ?
Which among the following does NOT undergo Williamson's synthesis?
Identify false statement from following regarding preparation of amines by Hofmann degradation method.
Which from following amines when heated with ethanolic KOH and chloroform forms aryl isocyanide ?
Identify medicinaly important compound extracted from citrus fruits?
Identify the product 'Y' in the following reaction \(\text{Benzonitrile}\overset{\text{C}_6\text{H}_5\text{MgBr}/\text{dry ether}\,}{\rightarrow }X\overset{\text{H}_3\text{O}^+\,}{\rightarrow }Y+\text{MgBr(OH)}+\text{NH}_3\)