List of top Questions asked in MHT CET- 2018

A coin is tossed three times. If X denotes the absolute difference between the number of heads and the number of tails then P(X = 1) =
If A, B, C are the angles of $\Delta ABC$ then $\cot \, A. \cot \, B + \cot \, B. \cot \, C + \cot \, C. \cot \, A =$
Conversion of hexane into benzene involves the reaction of
A sphere of mass 'm' moving with velocity 'v' collides head-on on another sphere of same mass which is at rest. The ratio of final velocity of second sphere to the initial velocity of the first sphere is (e is coefficient of restitution and collision is inelastic)
A metal wire of density $'\rho'$ floats on water surface horizontally. If it is NOT to sink in water then maximum radius of wire is proportional to (T = surface tension of water, g = gravitational acceleration)
If $\vec{a} , \vec{b} , \vec{c}$ are mutually perpendicular vectors having magnitudes 1, 2, 3 respectively, then $[\vec{a} + \vec{b} + \vec{c} \, \, \vec{b} - \vec{a} - \vec{c}] = ?$
The sum of the first 10 terms of the series 9 + 99 + 999 + ?., is
The number of solutions of $\sin \, x + \sin \, 3x + \sin \, 5x = 0$ in the interval $\left[\frac{\pi}{2} , 3 \frac{\pi}{2}\right] $ is
Matrix $A = \begin{bmatrix}1&2&3\\ 1&1&5\\ 2&4&7\end{bmatrix}$then the value of $a_{31} A_{31} + a_{32} A_{32} + a_{33 } + A_{33} $ is
If $\int\limits^{K}_0 \frac{dx}{2 + 18 x^2} = \frac{\pi}{24}$, then the value of K is
If $2 \sin \left( \theta + \frac{\pi}{3}\right) = \cos \left( \theta -\frac{\pi}{6}\right) , $ then $\tan \, \theta = $
The negation of the statement: "Getting above 95% marks is necessary condition for Hema to get the admission is good college"
The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
If $f(x) = \begin{cases} x^2 + \alpha & \text{for } x \ge 0 \\[2ex] 2\sqrt{x^2 + 1} + \beta & \text{for} x < 0 \end{cases}$ is continuous at x = 0 and $f \left(\frac{1}{2} \right) = 2 $ then $\alpha^2+ \beta^2$ is
Snapdragon is an example of _________ gene interaction.
Lac is used in the manufacture of following products EXCEPT
Which one of the following is NOT true about Salvia flower ?
The 'eyes' of potato are located at the _________
Identify the INCORRECT statement regarding Bt Cotton.
Lacteals absorb ________
In the given diagram of mammalian bone, X indicates
A certain reaction occurs in two steps as i) $\ce{2SO_{2(g)} + 2NO_{2(g)} -> 2SO_{3(g)} + 2NO_{(g)} }$ ii) $\ce{2NO_{(g)} + O_2(g) -> 2NO_{2(g)}}$ In the reaction,
Formation of $\ce{PCl_3}$ is explained on the basis of what hybridisation of phosphorus atom
Identify the functional group that has electron donating inductive effect
Bauxite, the ore of aluminium, is purified by which process?