List of practice Questions

For the function $f(x) = 2x^3 - 9x^2 + 12x - 5, x \in [0, 3]$, match List-I with List-II:
List-IList-II
(A) Absolute maximum value(I) 3
(B) Absolute minimum value(II) 0
(C) Point of maxima(III) -5
(D) Point of minima(IV) 4
Two dice are thrown simultaneously. If $X$ denotes the number of fours, then the expectation of $X$ will be:
If $f(x) = x^2 + bx + 1$ is increasing in the interval $[1, 2]$, then the least value of $b$ is:
If \([A]_{3 \times 2} [B]_{x \times y} = [C]_{3 \times 1}\), then \( x \) and \( y \) are:
If A is a square matrix of order 4 and |A| = 4, then |2A| will be:
If $A$ and $B$ are symmetric matrices of the same order, then $AB - BA$ is:
The degree of the differential equation $\left(1 - \left(\frac{dy}{dx}\right)^2\right)^{3/2} = k \frac{d^2 y}{dx^2}$ is:
The second-order derivative of which of the following functions is $5^x$?
Evaluate the integral $\int_0^1 \frac{a - bx^2}{(a + bx^2)^2} , dx$:
A die is rolled thrice. What is the probability of getting a number greater than $4$ in the first and second throws and a number less than $4$ in the third throw?
The area of the region bounded by the lines $x + 2y = 12$, $x = 2$, $x = 6$, and the $x$-axis is:
If $t = e^{2x}$ and $y = \ln(t^2)$, then $\frac{d^2 y}{dx^2}$ is:
What is another term used for the probability factor (P) in collision theory?
Which factor in the Arrhenius equation corresponds to the fraction of molecules having kinetic energy greater than activation energy?
Kohlrausch law is related to which of the following term?
Which term of molar conductivity is used when the concentration of electrolyte approaches zero?
What is the overall order of the reaction? Rate = k[A]½ [B]3/2
Molal elevation constant is also known as:
Which among the following compounds show metal excess defect due to anionic vacancy?
Which of the following solvents is having its lowest Ebullioscopic constant?
SolventBoiling Point (K)
Chloroform334.4
Diethyl Ether307.8
Benzene353.3
Carbon disulphide319.4
Choose the correct answer from the options given below:
Which of the following gases at 298 K and 1 atm pressure is having maximum solubility in water?
(A) Methanal, KH = 0.000018
(B) Argon, KH = 40.3
(C) Methane, KH = 0.41
(D) CO2, KH = 1.6
Choose the correct answer from the options given below:
Match List-I with List-II:
List-I (Amino Acid)List-II (Nature of Amino Acid)
(A) Valine(I) Basic amino acid
(B) Glycine(II) Neutral optically active amino acid
(C) Lysine(III) Acidic amino acid
(D) Glutamic acid(IV) Neutral optically inactive amino acid
Choose the correct answer from the options given below:
Which of the following is/are the bases of DNA?
(A) Adenine
(B) Uracil
(C) Thymine
(D) Cytosine
Match List-I with List-II:
Figure

Choose the correct answer from the options given below:
Match List-I with List-II:
List-IList-II
(A) Mn2+(I) Pyrolusite ore
(B) Spin only Magnetic Moment(II) An alloy of 4f metal, iron and traces of S, C, Al and Ca
(C) MnO2(III) μs = √n(n + 2) BM
(D) Misch metal(IV) Highest oxidation states

Choose the correct answer from the options given below: