List of practice Questions

The stages in life history of mosquito are listed. Arrange them in order:
1. Adult
2. Egg
3. Pupa
4. Larva

Look at the given picture carefully and infer the income of the bank.

Choose the correct option from the following.

Why do lenders often require collateral before lending a loan? Choose the most suitable option from the following:

Which one of the following indices is given priority by the World Bank with respect to development?

Suppose, the monthly income of the family members is as follows respectively:
• Mother - Rs. 50,000/- • Father - Rs. 40,000/-
• Son - Rs. 20,000/-        • Daughter - Rs. 20,000/-
The average income of the family would be:

What role do 'checks and balances' play in a democratic country?
Choose the most suitable option from the following.

Read the given sentence from a recipe review article. Identify the error and supply the correction in the sentence.
The cake recipe was to sweet for my liking, but the texture was perfect.
Use the given format for your response.

\(Error\)	\(Correction\)

If two charges \( q_1 \) and \( q_2 \) are separated with distance 'd' and placed in a medium of dielectric constant K. What will be the equivalent distance between charges in air for the same electrostatic force?

A lossless transmission line with characteristic impedance Z_o = 50 Ω is terminated with an unknown load. The magnitude of the reflection co-efficient is |T| = 0.6. As one moves towards the generator from the load, the maximum value of the input impedance magnitude looking towards the load (in Ω) is____.

How and why does Keats relate ‘mighty dead’ to the ‘Thing of Beauty’?
{(A Thing of Beauty)}

Let \( X(t) = A \cos(2\pi f_o t + \theta) \) be a random process, where amplitude \( A \) and phase \( \theta \) are independent of each other, and are uniformly distributed in the intervals [−2, 2] and [0, 2π], respectively. \( X(t) \) is fed to an 8-bit uniform mid-rise type quantizer.
Given that the autocorrelation of \( X(\tau) \) is \[ R_x(\tau) = \frac{2}{3} \cos(2\pi f_o \tau), \] the signal to quantization noise ratio (in dB, rounded off to two decimal places) at the output of the quantizer is ___.

The relationship between any N-length sequence x[n] and its corresponding N-point discrete Fourier transform X[k] is defined as
X[k] = F(x[n]}. 
Another sequence y[n] is formed as below 
y[n] = F F{F{F{F{x[n]}}}}. 
For the sequence x[n] = {1, 2, 1, 3}, the value of Y[0] is___.

As shown in the circuit, the initial voltage across the capacitor is 10 V, with the switch being open. The switch is then closed at t 0. The total energy dissipated = in the ideal Zener diode (V_z=5V) after the switch is____.

A source transmits symbols from an alphabet of size 16. The value of maximum achievable entropy (in bits) is____.

Suppose X and Y are independent and identically distributed random variables that are distributed uniformly in the interval [0,1]. The probability that X≥Y is_____.

In the circuit given below, the switch S was kept open for a sufficiently long time and is closed at time t=0. The time constant (in seconds) of the circuit for t>0 is___.

In the given circuit, the current Ix (in mA) is

Let R and R³ denote the set of real numbers and the three dimensional vector space over it, respectively. The value of a for which the set of vectors
{[2-3 α], [3 -1 3], [1 −5 7]} 
does not form a basis of R³ is____.

In a number system of base r, the equation x²-12x+37=0 has x=8 of its solutions. The value of r is____.

An amplitude modulator has output (in Volts)
s(t) = A cos(400πt) + B cos(360πt) + B cos(440πt).
The carrier power normalized to 1 Ω resistance is 50 Watts. The ratio of the total sideband power to the total power is \( \frac{1}{9} \). The value of B (in Volts, rounded off to two decimal places) is ____.

A machine has a 32-bit architecture with 1-word long instructions. It has 24 registers and supports an instruction set of size 40. Each instruction has five distinct fields, namely opcode, two source register identifiers, one destination register identifier, and an immediate value. Assuming that the immediate operand is an unsigned integer, its maximum value is___.

An NMOS transistor operating in the linear region has \(I_{DS} = 5 \, \mu{A}\) at \(V_{DS} = 0.1 \, {V}\). Keeping \(V_{GS}\) constant, the \(V_{DS}\) is increased to \(1.5 \, {V}\). Given that: \[ \mu_n C_{ox} \frac{W}{L} = 50 \, \mu{A}/{V}^2, \] the transconductance at the new operating point (in \(\mu{A}/{V}\), rounded off to two decimal places) is \(\_\_\_\_\).

A particle moving with uniform speed in a circular path maintains :

If the direction cosines of a line are \( \sqrt{3}k, \sqrt{3}k, \sqrt{3}k \), then the value of \( k \) is:

A machine has a 32-bit architecture with 1-word long instructions. It has 24 registers and supports an instruction set of size 40. Each instruction has five distinct fields, namely opcode, two source register identifiers, one destination register identifier, and an immediate value. Assuming that the immediate operand is an unsigned integer, its maximum value is \(\_\_\_\_\).