List of top Questions asked in MHT CET- 2026

The contrapositive of the statement pattern \([p∨(p\rightarrow q)]\rightarrow (p∧\sim q)\) is

If \(\underset{x\rightarrow \infty }{lim}[\frac{x^2+x+1}{x+1}-ax-b] = 3\), then \(a-b =\)...

In \(△ABC\), with usual notation, if \(a = 13,b = 14,c = 15\), then the sum of the values of \(sin(\frac{A}{2})\) and \(sinA\) is....

In triangle ABC, with usual notations, if \((a+b+c)(a+b-c) = ab\), then the measure of angle C is...

The correct logical equivalence from the following is /are ___
(I) \(p\rightarrow (q\rightarrow r)\equiv (p∧q)\rightarrow r\)
(II) \((p\rightarrow q)\rightarrow r\equiv p\rightarrow (q∨r)\)
(III) \((p\rightarrow q)\rightarrow r\equiv (p\rightarrow r)∧(\sim q\rightarrow r)\)
(IV) \(p\rightarrow (q\rightarrow r)\equiv q\rightarrow (p\rightarrow r)\)

The negation of the converse of \(p∨q\) is

Two lines are given by \(x^2-4xy+4y^2+kx-2ky = 0\), then the value of k so that the distance between them is 3 is

The line \(L_1\) given by \(\frac{x}{p}+\frac{y}{2} = 1\) passes through the point \((5,0)\). The line \(L_2\) given by \(\frac{x}{10}+\frac{y}{q} = 1\) is parallel to \(L_1\). Then the distance between the lines \(L_1\) and \(L_2\) is...

The tangent to the circle \(x^2+y^2 = 10\) at the point \((3,1)\) touches the circle \(x^2+y^2-2\sqrt{10}\,x-20y+k = 0\), then the value of \(k\) is...

The area of the region (in sq. unit) bounded by x-axis, the tangent and normal to the circle \(x^2+y^2 = 4\), drawn at a point \((1,\sqrt{3})\) is

If the eccentricity of the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2} = 1,(a > b)\) is \(\frac{2}{3}\) and its focal chord is \(3x+2y-6 = 0\), then the value of \(a^2+b^2\) is...

11 players of the Indian cricket team are sitting at a circular table. The number of ways they can sit so that two players, the wicket keeper and the captain never sit together is ___

In \(△ABC\), if \(\angle C = \frac{π}{3}\), then the value of \(cos^2A+cos^2B+cosAcosB\) is...

Which medicinal property is exhibited by methylsalicylate?

What is the total mass of products obtained when one gram mole of sucrose is hydrolysed?

The value of \((\frac{-1+i\sqrt{3}}{2})^{18}+(\frac{-1-i\sqrt{3}}{2})^{18}\) is

Which from following polymers is NOT obtained by addition polymerisation method?

Which from following is NOT a globular protein?

Which from following amines does NOT form alkyl isocyanide when heated with alc. KOH and chloroform

Which from following statements is NOT correct regarding Hofmann's exhaustive alkylation?

Propyne on reaction with water in presence of \(40\%\) sulphuric acid and \(1\%\) mercuric sulphate forms

Identify final products in the following sequence of reactions
\(\text{RCOOH}+\text{R’OH}\overset{\text{H}^+\,}{\rightarrow }\text{intermediate}\overset{\text{Ni},\Delta \,}{\rightarrow }^{\text{H}_2}\text{Products}\)

Which of the following has largest size?

Benzonitrile on reaction with a reagent in dry ether followed by hydrolysis forms benzophenone along with ammonia and hydroxymagnesium bromide. Identify the reagent used in above transformation.

Identify the product P obtained in following reaction