List of top Questions asked in MHT CET

Let \( G \) be the centroid of a triangle ABC and \( O \) be any other point in that plane, then \[ OA + OB + OC + OG = \]
The cosine of the angle included between the lines \[ \vec{r_1} = (2i + j - 2k) + \lambda (i - 2j - 2k) \quad \text{and} \quad \vec{r_2} = (i + j + 3k) + \mu (3i + 2j - 6k) \] where \( \lambda, \mu \in \mathbb{R} \) is
The points A \( (-a, -b) \), B \( (0, 0) \), C \( (a, b) \) and D \( (a^2, ab) \) are
Which among the following compounds is obtained when glucose reacts with hydrogen cyanide?
For any non-zero vectors \( \vec{a} \) and \( \vec{b} \), \( \left| \vec{b} \times (\vec{a} \times \vec{b}) \right| = \)
The area included between the parabolas \( y^2 = 5x \) and \( x^2 = 5y \) is
What is the product obtained when Br\(_2\) water reacts with glucose?
The volume of oxygen required for complete combustion of 0.25 mole of methane at S.T.P. is
If 2 moles of an ideal gas at 546 K has a volume of 44.8 L, then what will be its pressure?
Which of the following reaction of diazonium salt involves retention of diazonium group?
Which of the following is obtained by catalytic oxidation of ammonia?
Identify the hydrocarbon compound from the following containing carbon atoms in the range of C\(_6\) to C\(_7\)?
What is the value of rate constant of first-order reaction, if it takes 15 minutes for consumption of 20% of reactants?
Number of oxygen atoms present in salicylaldehyde are
How many numbers of P-OH and P-O-P bonds are present in pyrophosphoric acid respectively?
Which polymer from the following is used as synthetic leather?
An acyl chloride is hydrogenated over catalyst palladium on barium sulfate to form an aldehyde. This reaction is called as
An element has a bcc structure with cell edge of 288 pm. The density of element is 7.2 g/cm\(^3\). What is the atomic mass of an element?
Which of the following is NOT a character of an ideal drug?
Work done when 2 mol of an ideal gas is compressed from a volume of 5 m\(^3\) to 2.5 m\(^3\) at 300 K, under a pressure of 100 kPa is
What is the secondary valence of Co\(^{2+}\) ion according to Werner's theory in [Co(NH\(_3\))\(_6\)]\(^{3+}\)?
Which of the following is NOT dihydric phenol?
Which of the following properties is of the thermosetting polymers?
In which of the following compounds intramolecular hydrogen bonding is present?
Which of the following molecules does not contain oxygen?