List of practice Questions

The correct depiction of the centrifugation step of the experiment conducted by Alfred Hershey and Martha Chase on using radioactive labelled phages to prove that DNA is the genetic material is:
Large scale industrial production of Butyric acid for human welfare is done using the microbe:
What would happen if a gene encoding a polypeptide of 50 amino acids, $25^th$ Codon (UAU) is mutated to “UAA”?
During a monohybrid cross involving a tall pea plant with a dwarf pea plant, the offspring populations were tall and dwarf in equal ratio. Find out the genotype of parent pea plants.
Isolation of DNA from a fungal cell can be achieved by using:

Which of the following combinations is a correct example of convergent evolution in Australian marsupials and placental mammals?

Select the statements that are true for pollination mechanism in flowering plants from the given options:
Colostrum secreted by the mother’s mammary glands in a human female during the initial days of lactation is rich in antibody:

Which of the following is not an example of aneuploidy?

During the process of transcription, after binding to a promoter, RNA polymerase catalyses and makes the bases in the template strand of DNA available for base pairing, with the bases of:
The histone core in a nucleosome of chromatin thread is a/an:

Evaluate:
$\displaystyle \int_{0}^{3} x \cos(\pi x) \, dx$

Find:$\displaystyle \int \dfrac{dx}{\sin x + \sin 2x}$

For the given graph of a Linear Programming
For the given graph of a Linear Programming Problem, write all the constraints satisfying the given feasible region.
Check the differentiability of the function f(x) = |x| at x = 0.
Find $ k $ so that the function \[ f(x) = \begin{cases} \frac{x^2 - 2x - 3}{x + 1} & \text{if } x \neq -1 \\ k & \text{if } x = -1 \end{cases} \] is continuous at $ x = -1 $.
Find: \[ \int \frac{\sqrt{x}}{1 + \sqrt{x^{3/2}}} \, dx \]
If \[ A = \begin{bmatrix} 2 & -2 \\ -2 & 2 \end{bmatrix} \quad \text{and} \quad A^2 = kA, \quad \text{then find the value of k.} \]
The solution of the differential equation $ \frac{dy}{dx} = -\frac{x}{y} $ represents family of:
If $ \int e^{-3 \log x} \, dx = f(x) + C $, then $ f(x) $ is:
If A and B are invertible matrices of order $3 \times 3$ such that $\text{det} = 4$ and $\text{det}([AB]^{-1}) = \frac{1}{20}$, then $\text{det}$ is equal to:
Domain of $ \sin^{-1}(2x^2 - 3) $ is:
Evaluate: \[ I = \int_0^{\frac{\pi}{4}} \frac{\sin x \cos x}{\cos^4 x + \sin^4 x} \, dx \]
Solve the following Linear Programming Problem graphically:
Minimise \( Z = 3x + 5y \)
subject to the constraints: \[ x + 2y \geq 10, \quad x + y \geq 6, \quad 3x + y \geq 8, \quad x, y \geq 0. \]
Consider the experiment of tossing a coin. If the coin shows head, toss it again; but if it shows a tail, then throw a die. Find the conditional probability of the event A: `the die shows a number greater than 3' given that B: `there is at least one tail'.