List of practice Questions

If \( \alpha, \beta \), and \( \gamma \) are the angles which a line makes with the positive directions of \( x, y, z \) axes respectively, then which of the following is not true?
If \( \vec{a} = 2\hat{i} - \hat{j} + \hat{k} \) and \( \vec{b} = \hat{i} - 2\hat{j} + \hat{k} \), then \( \vec{a} \) and \( \vec{b} \) are:
\( x \log x \frac{dy}{dx} + y = 2 \log x \) is an example of a:
\( \int_{-a}^a f(x) \, dx = 0 \), if:
If the sides of a square are decreasing at the rate of \( 1.5 \, \mathrm{cm/s} \), the rate of decrease of its perimeter is:
A function \( f(x) = |1 - x + |x|| \) is:
Let \[ A = \begin{bmatrix} a & b \\ c & d \end{bmatrix} \] be a square matrix such that \[ \text{adj } A = A. \] Then, \( (a + b + c + d) \) is equal to:
Let \( \mathbb{R}_+ \) denote the set of all non-negative real numbers. Then the function \( f : \mathbb{R}_+ \to \mathbb{R}_+ \) defined as \( f(x) = x^2 + 1 \) is:
If \( A = [a_{ij}] \) is an identity matrix, then which of the following is true?
If \( P(A|B) = P(A'|B) \), then which of the following statements is true?
(ii) Describe the different steps in the sexual mode of reproduction in the life cycle of a malarial parasite.
(b) Write the symptoms of malaria in humans and explain what causes these symptoms.
Describe the following:
(a) Describe the life cycle of HIV from the time of its entry into the human body till full blown AIDS sets in.
(iii) Work out a cross to explain how normal parents may have a sicklecell anaemic child.
(ii) Explain the genetic basis that results in the expression of this disorder.
(b) Answer the following questions on sicklecell anaemia:
(i) Why is sicklecell anaemia, a human blood disorder, so named?
(iii) Explain the charging of an adaptor molecule. Why this molecule needs to be charged?
(ii) Write the initiating codon for translation, its anticodon, and the amino acid it codes for.
(a). Study the schematic diagram given below and answer the questions:
\begin{figure}[h!] \centering \includegraphics[width=0.5\linewidth]{Screenshot 20250115 144456.png} % Replace with the correct path to your image \caption{Diagram} \label{Diagram} \end{figure} (i) Identify the polarity from ‘X’ to ‘Y’ in the mRNA segment shown. Mention how many more amino acids can be added to the polypeptide that is being translated and why.
(iii) List any two ‘out breeding devices’ in flowering plants. Explain why do plants develop such devices.
(ii) Compare the two types of flowers with reference to:
(1) Characteristic feature
(2) Modes of pollination
(b). Observe the picture of Commelina plant bearing two types of flowers:
\begin{figure}[h!] \centering \includegraphics[width=0.5\linewidth]{Screenshot 20250115 144128.png} % Replace with the correct path to your image \caption{Commelina} \label{Commelina} \end{figure} (i) Identify the two types of flowers labelled ‘A’ and ‘B’ in the picture.
(ii) Identify the cell where you are seeing a cluster of spermatozoa attached in the diagram. Write the function of the cell.
(a) The given diagram shows the sectional view of a seminiferous tubule of Human testis.
\begin{figure}[h!] \centering \includegraphics[width=0.5\linewidth]{Screenshot 20250115 143912.png} % Replace with the correct path to your image \caption{Testis} \label{Testis} \end{figure} (i) Name and describe the process depicted in the diagram which results in the development of spermatozoa.
(c) Mention the difference in the site of transcription in a prokaryote and eukaryote cell.