List of top Questions asked in MHT CET

A reaction has both ΔH and ΔS negative. The rate of reaction:

Which element has three shells which are completely filled with electrons?

In which of the following type of nano-material, one dimension is outside the nano scale?

Match correctly the functional group given in List-I with the Nomenclature of that functional group given in list-II:List IList IIa. Aldehydei. Propanoneb. Halogenii. Propanalc. Ketoneiii. Propanold. Alcoholiv. Bromopropane

The value of gas constant per degree per mole is approximately:

Region represented by the in equation system $x+y\le 3,y\le 6$ and $x\ge 0,y\ge 0$ is:

A box contains $100$ round discs, $50$ square - shaped discs and $30$ triangular discs. All the discs are made up of iron and have an equal probability of getting attracted by a magnet. If a magnet which can attract only one disc in one pass and the disc is passed over them twice. What is the probability that both times a triangular disc is attracted? The disc attracted in one pass does not fall into box again, however each time a square shaped disc is kept into the box.

Recognize the figure and find out the correct matching.

Plasmids are used as cloning vectors for which of the following reasons?

Find the value of $\sqrt{(5+12i)}$, where $i=\sqrt{-1}$.

Maximam value of $:Z=10x+25$ y Subject to : $x\le 3,y\le 3,x+y\le 5,x\ge 0,y\ge 0$ at:

Maximize $Z=4x+9y$, subject to the constralnts $x=0$, y $=0,x+5y\le 200,2x+3y\le 134$.

The integrating factor of the differential equation $2y\frac{dx}{dy}+x=5y^2$ is, $(y\ne 0)$:

Find the position vector of the midpoint of the vector joining the points $P(2,3,4)$ and $Q(4,1,-2)$.

Form the differential equation of $y=a{e}^{3x}\cos (x+b)$ Where $y^{\prime }=\frac{dy}{dx}$ and $y^n=\frac{d^{2}y}{d{x}^2}$?

The differential equation of the family of curves $y=c_1{e}^x+c_2{e}^{-x}$ is:

The following table gives the weights of one hundred persons. Copute the coefficient of dispersion by the method of limits.Class-interval$40-45$$45-50$$50-55$$55-60$$60-65$$65-70$$70-75$$75-80$$80-85$$85-90$No. of persons$4$$13$$8$$14$$9$$16$$17$$9$$8$$2$

Find the centre and radius of $x^2+y^2+6y=0$.

If $A=\left[\begin{array}{cc}\cos \alpha & \sin \alpha \\ -\sin \alpha & \cos \alpha \end{array}\right]$ then $A{A}^T$ is equal to: (where $A^T$ is the transpose of $A)$

If $n=100!$, then what is the value of the following?$\frac{1}{{\log }_{2}n}+\frac{1}{{\log }_{3}n}+\frac{1}{{\log }_{4}n}+\dots \dots +\frac{1}{{\log }_{100}n}$

Consider the following statements:1. If $y=\ln (\sec x+\tan x)$, then $\frac{dy}{dx}=\sec x$.2. If $y=\ln (\mathrm{cosec}x-\cot x)$, then $\frac{dy}{dx}=\mathrm{cosec}x$.Which of the above is / are correct?

Cards numbered from $107$ to $1006$ are put in a bag. A card is drawn from it at random. Find the probability that the number on the card is not divisible both by $11$ and $37$?

If ${\sec }^2\theta +{\tan }^2\theta =3$ then find the value of $\cot \theta$.

Direction: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:On a recent journey Aman drove from City A to city B to city C. His average speed for the whole journey was 60 km/hr. Find the average speed on his journey from city B to city C.Statement I:  Average speed during the journey from city A to city B is 48 km/hr Statement II: Total time taken for the entire journey is 3 hours Statement III: Ratio of distance travelled while going from A to B and B to C is 2 : 3

Direction: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:How much profit did the company earn in the year 2002?Statement I: The company earned 40% more profit in the year 2003 than that in the year 2001.Statement  II: The company earned a total profit of Rs. 20 crores in the years 2001 and 2002 taken together.Statement III: In the year 2003, the company earned 80% of the profit earned in 2002.