List of practice Questions

In a borax bead test under hot condition, a metal salt (one from the given) is heated at point B of the flame, resulted in green colour salt bead. The spin-only magnetic moment value of the salt is ............. BM (Nearest integer)
[Given atomic number of Cu = 29, Ni = 28,Mn = 25, Fe = 26]
Ramesh invests 1,200 at 5% simple interest. How much additional money must he invest at 8% simple interest so that his total annual income will be equal to 6% of his total investment during this year?
A solid circular disc of mass 50 kg rolls along a horizontal floor so that its center of mass has a speed of 0.4 m/s. The absolute value of work done on the disc to stop it is ______ J.
A player can take a maximum of 4 chances to hit a bottle with a flying disc.The probability of hitting the bottle at the first, second,third and fourth shots are 0.1, 0.2, 0.35 and 0.45 respectively.What is the probability that the player hits the bottle with the flying disc?
In the Taylor series expansion of sin z around \(z = 0\), the coefficient of the term \(z^3\) is
The bond length of CO is 113 pm and its dipole moment (𝜇⃗) is 0.1 D. The charge (in units of electronic charge) on carbon in the CO molecule including its sign is (rounded off to three decimal places)
[Given: charge of electron = 1.602×10−19 C; 1 D=3.336 × 10−30 Cm]
An object is placed 15 𝑐𝑚 in front of a convex mirror, which has a radius of curvature 30 𝑐𝑚. Which one of the following is true of the image formed?
Which one of the following genetic crosses and their results indicates cytoplasmic inheritance?
A spring-mass system (spring constant 80N/m and damping coefficient 40N-s/m), initially at rest, is lying along the y-axis in the horizontal plane. One end of the spring is fixed and the mass (5kg) is attached at its other end. The mass is pulled along the y-axis by 0.5m from its equilibrium position and then released. Choose the correct statement(s).
(Ignore mass of the spring)
Consider the following C function definition: \begin{verbatim} int f(int x, int y) { for (int i = 0; i<y; i++) { x = x + x + y; } return x; } \end{verbatim} Which of the following statements is/are TRUE about the above function?
Let \( A \) be any \( n \times m \) matrix, where \( m>n \). Which of the following statements is/are TRUE about the system of linear equations \( Ax = 0 \)?
Consider the 5-state DFA \( M \) accepting the language \( L(M) \subseteq (0+1)^* \) shown below. For any string \( w \in (0+1)^* \), let \( n_0(w) \) be the number of \( 0 \)'s in \( w \) and \( n_1(w) \) be the number of \( 1 \)'s in \( w \). \begin{center} \includegraphics[width = 6cm]{50.png} \end{center} Which of the following statements is/are FALSE?
Consider the following recurrence relation: \[ T(n) = \begin{cases} \sqrt{n}T(\sqrt{n}) + n & \text{for } n \geq 1,
1 & \text{for } n = 1. \end{cases} \] Which one of the following options is CORRECT?
Consider a binary min-heap containing 105 distinct elements. Let \( k \) be the index (in the underlying array) of the maximum element stored in the heap. The number of possible values of \( k \) is:
The symbol \( \rightarrow \) indicates functional dependency in the context of a relational database. Which of the following options is/are TRUE?
Let \( G \) be a directed graph and \( T \) a depth first search (DFS) spanning tree in \( G \) that is rooted at a vertex \( v \). Suppose \( T \) is also a breadth first search (BFS) tree in \( G \), rooted at \( v \). Which of the following statements is/are TRUE for every such graph \( G \) and tree \( T \)?
Consider a Boolean expression given by \( F(X, Y, Z) = \Sigma(3, 5, 6, 7) \). Which of the following statements is/are CORRECT?
An array \( [82, 101, 90, 11, 111, 75, 33, 131, 44, 93] \) is heapified. Which one of the following options represents the first three elements in the heapified array?
Let \( A \) and \( B \) be two events in a probability space with \( P(A) = 0.3 \), \( P(B) = 0.5 \), and \( P(A \cap B) = 0.1 \). Which of the following statements is/are TRUE?
Consider the circuit shown below where the gates may have propagation delays. Assume that all signal transitions occur instantaneously and that wires have no delays. Which of the following statements about the circuit is/are CORRECT? \begin{center} \includegraphics[width=8cm]{28.png} \end{center}
TCP client \( P \) successfully establishes a connection to TCP server \( Q \). Let \( N_P \) denote the sequence number in the SYN sent from \( P \) to \( Q \). Let \( N_Q \) denote the acknowledgement number in the SYN ACK from \( Q \) to \( P \). Which of the following statements is/are CORRECT?
Consider a 5-stage pipelined processor with Instruction Fetch (IF), Instruction Decode (ID), Execute (EX), Memory Access (MEM), and Register Writeback (WB) stages. Which of the following statements about forwarding is/are CORRECT?
Which of the following fields is/are modified in the IP header of a packet going out of a network address translation (NAT) device from an internal network to an external network?
In a B+ tree, the requirement of at least half-full (50\%) node occupancy is relaxed for which one of the following cases?
Which of the following statements about a relation \( R \) in first normal form (1NF) is/are TRUE?