Jelet Full Mocktest 2
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The binary system uses powers of
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10
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8
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2
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16
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About This Quiz
This comprehensive JELET mock test covers essential topics in electrical engineering, focusing on measurement instruments and related calculations.
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- 2.
The brain of any computer system is
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CPU
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ALU
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MEMORY
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CONTROL UNIT
Correct Answer
A. CPUExplanation
The brain of any computer system is the CPU (Central Processing Unit). The CPU is responsible for executing instructions, performing calculations, and coordinating the activities of all the other hardware components in the computer system. It is considered the brain because it carries out all the necessary computations and operations that allow the computer to function. The CPU is composed of several components, including the control unit, arithmetic logic unit (ALU), and memory. Together, these components work together to process and execute instructions, making the CPU the most essential part of a computer system.Rate this question:
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- 3.
Which one is the intensity level of noise
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Centimeter
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Decibel
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Newton
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Watt
Correct Answer
A. DecibelExplanation
The intensity level of noise is measured in decibels (dB). Decibels are a unit of measurement used to quantify the intensity or loudness of sound. It is a logarithmic scale that represents the ratio between the sound pressure level and a reference level. The higher the decibel value, the louder the noise. Therefore, decibel is the correct answer for the intensity level of noise.Rate this question:
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- 4.
Which of the following is the 1's complement of 10?
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110
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01
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11
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10
Correct Answer
A. 01Explanation
The 1's complement of a binary number is obtained by flipping all the bits. In this case, the binary representation of 10 is 1010. Flipping all the bits gives us 0101, which is equivalent to the decimal number 5. Therefore, the 1's complement of 10 is 01.Rate this question:
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- 5.
Which one correct?
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Option a
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Option b
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Option c
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Option d
Correct Answer
A. Option d -
- 6.
In which of the following methods proper choice of initial value is very important?
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Bisection method
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False position
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Newton-Raphson
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Bairsto method
Correct Answer
A. Newton-RaphsonExplanation
In the Newton-Raphson method, the proper choice of initial value is very important. This is because the method relies on finding the root of a function by iteratively improving an initial guess. If the initial value is chosen poorly, it can lead to convergence issues or the method may fail to find the correct root altogether. Therefore, selecting an appropriate initial value is crucial for the success of the Newton-Raphson method.Rate this question:
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- 7.
Which one correct?
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Option a
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Option b
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Option c
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Option d
Correct Answer
A. Option a -
- 8.
Which part interprets program instructions and initiate control operations.
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CONTROL UNIT
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LOGIC UNIT
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INPUT
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NONE
Correct Answer
A. CONTROL UNITExplanation
The control unit is responsible for interpreting program instructions and initiating control operations. It is a crucial component of a computer's central processing unit (CPU) that coordinates and directs the flow of data and instructions within the computer system. It fetches instructions from memory, decodes them, and executes them by sending signals to other parts of the computer to perform the necessary operations. Without the control unit, the computer would not be able to effectively process and execute program instructions.Rate this question:
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- 9.
The list of coded instructions is called
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Algorithm
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Computer program
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Flowchart
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None of these
Correct Answer
A. Computer programExplanation
A computer program is a set of coded instructions that are written in a specific programming language and can be executed by a computer. It is a list of instructions that tells the computer what tasks to perform in order to achieve a desired outcome. Algorithms and flowcharts can be used as tools to design and plan a computer program, but the actual coded instructions themselves are what make up the computer program. Therefore, the correct answer is "Computer program".Rate this question:
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- 10.
The convergence of which of the following method depends on initial assumed value?
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False position
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Gauss Seidel method
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Newton Raphson method
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Euler method
Correct Answer
A. Newton Raphson methodExplanation
The Newton Raphson method is an iterative numerical method used to find the roots of a function. It relies on making an initial guess or assumption about the root and then iteratively refining that guess until it converges to the actual root. The convergence of the method depends heavily on the initial assumed value. If the initial guess is far from the actual root, the method may fail to converge or converge to a different root. Therefore, the accuracy and efficiency of the Newton Raphson method are highly dependent on the initial assumption.Rate this question:
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- 11.
Main pollutants released from iron & steel industry is
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CO, CO2 & SO2
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H2S, NO & SO3.
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CO2, H2S & NO2.
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None
Correct Answer
A. CO, CO2 & SO2Explanation
The main pollutants released from the iron & steel industry are CO (carbon monoxide), CO2 (carbon dioxide), and SO2 (sulfur dioxide). These pollutants are released during various processes in the industry, such as the combustion of fossil fuels and the smelting of iron ore. CO is a toxic gas that can cause health issues and contribute to air pollution. CO2 is a greenhouse gas that contributes to climate change. SO2 is a harmful gas that can cause respiratory problems and contribute to acid rain. Therefore, the correct answer is CO, CO2, and SO2.Rate this question:
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- 12.
Two dice are thrown simultaneously. what is the probability of getting two numbers whose product is even?
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3/4
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4/3
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8/9
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1/3
Correct Answer
A. 3/4Explanation
When two dice are thrown simultaneously, there are a total of 36 possible outcomes (6 possible outcomes for each dice). To find the probability of getting two numbers whose product is even, we need to find the favorable outcomes.
An even number can be obtained either by rolling an even number on both dice or by rolling an odd number on one dice and an even number on the other dice.
The probability of rolling an even number on one dice is 3/6 (3 even numbers out of 6 possible outcomes). So, the probability of rolling an odd number on the other dice is 3/6 as well.
The probability of rolling an even number on both dice is (3/6) * (3/6) = 9/36.
The probability of rolling an odd number on one dice and an even number on the other dice is (3/6) * (3/6) = 9/36.
Adding these two probabilities, we get 9/36 + 9/36 = 18/36 = 1/2.
Therefore, the probability of getting two numbers whose product is even is 1/2.
However, none of the given options match this answer, so the correct answer is not provided.Rate this question:
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- 13.
An electromagnetic field exists only when there is
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An increasing current
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Decreasing current
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Voltage
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current
Correct Answer
A. currentExplanation
An electromagnetic field exists only when there is a current. This is because an electromagnetic field is generated by the flow of electric charge, which is carried by a current. Without a current, there is no flow of charge and therefore no electromagnetic field. Both increasing and decreasing currents can generate electromagnetic fields, as long as there is a flow of charge. Voltage, on the other hand, is a measure of the potential difference between two points in a circuit and does not directly create an electromagnetic field.Rate this question:
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- 14.
What kVA rating is required for a transformer that must handle a maximum load current of 8 A with a secondary voltage of 2 kV?
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4 kVA
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0.25 kVA
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16 kVA
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8 kVA
Correct Answer
A. 16 kVAExplanation
The kVA rating required for a transformer can be calculated by multiplying the load current in amperes by the secondary voltage in kilovolts. In this case, the load current is 8 A and the secondary voltage is 2 kV. Therefore, the kVA rating required is 8 A x 2 kV = 16 kVA.Rate this question:
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- 15.
The moment of inertia of a thin disc of mass ‘m’ and radius ‘r’, about an axis through its center of gravity and perpendicular to the plane of the disc is
- (A) mr2/2
- (B) mr2/4
- (C) mr2/6
- (D) mr2/8
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A
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B
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C
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D
Correct Answer
A. AExplanation
The moment of inertia of a thin disc can be calculated using the formula I = (1/2)mr^2, where m is the mass of the disc and r is the radius. This formula is derived from the parallel axis theorem, which states that the moment of inertia about an axis parallel to and a distance h away from an axis through the center of gravity is equal to the moment of inertia about the center of gravity plus the mass times the square of the distance between the two axes. In this case, since the axis is passing through the center of gravity, the distance h is zero, resulting in the moment of inertia being equal to (1/2)mr^2. Therefore, the correct answer is A.Rate this question:
- 16.
What is the output of this C code ? #include main() { int a=0, b=1; if(b>0) if(a>0) printf("True"); else printf("False"); }
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True
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False
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No output
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Run time error
Correct Answer
A. FalseExplanation
The code initializes two variables, "a" with a value of 0 and "b" with a value of 1. The code then checks if "b" is greater than 0, which is true. However, there is no nested if statement to check if "a" is greater than 0. Therefore, the code will execute the else statement and print "False" as the output.Rate this question:
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- 17.
In a simply supported beam (l + 2a) with equal overhangs (a) and carrying a uniformly distributed load over its entire length, B.M. at the middle point of the beam will be zero if
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L = 2a
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L = 4a
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l < 2a
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L > a
Correct Answer
A. L = 2aExplanation
In a simply supported beam with equal overhangs and carrying a uniformly distributed load, the bending moment (B.M.) at the middle point of the beam will be zero if the length of the beam (l) is equal to twice the length of the overhangs (2a). This is because when the beam has equal overhangs, the load is symmetrically distributed on both sides of the middle point. As a result, the moments created by the load on one side cancel out the moments created by the load on the other side, resulting in a zero bending moment at the middle point.Rate this question:
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- 18.
The force applied on a body of mass 100 kg to produce an acceleration of 5 m/s2, is
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20 N
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100 N
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500 N
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None of these
Correct Answer
A. 500 NExplanation
To calculate the force applied on a body, we use the formula F = m*a, where F is the force, m is the mass, and a is the acceleration. In this case, the mass is given as 100 kg and the acceleration is given as 5 m/s^2. Plugging these values into the formula, we get F = 100 kg * 5 m/s^2 = 500 N. Therefore, the correct answer is 500 N.Rate this question:
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- 19.
If a rigid body is in equilibrium under the action of three forces, then
- (A) These forces are equal
- (B) The lines of action of these forces meet in a point
- (C) The lines of action of these forces are parallel
- (D) Both (B) and (C) above
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A
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B
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C
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D
Correct Answer
A. DExplanation
Answer: Option D
Solution: tan2θ = 2q/ (p x - p y) = (2 × 400)/ (1200 – 600) = 1.33
Therefore, 2θ = tan⁻¹ 1.33 = 53.06°
Therefore, pn = 1200 + 600)/ 2 + (1200 – 600)/ 2 × cos 53.06 + 400 sin 530.6
=900 + 180.294 + 319.70
=1400 MPa.
Note:- Normal stress component, (pn ) on a plane:- pn = (p x + p y)/2 + (p x - p y)/2 × cos2θ + q sin2θ
Tangential Stress component, (pt) ¬ on a plane: - pt = (p x - p y)/2 × sin2θ – q cos2θ
Inclination θ between p x and p y is tan 2θ = 2q / (p x - p y)Rate this question:
- 20.
The arranging of data in a logical sequence is called:
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sorting
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Classifying
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reproducing
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Summarizing
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Option 5
Correct Answer
A. sortingExplanation
Sorting refers to the process of arranging data in a specific order, such as ascending or descending order. This allows for easier access and retrieval of information, as well as making it more organized and structured. Classifying, reproducing, and summarizing do not specifically refer to the arrangement of data in a logical sequence. Therefore, the correct answer is sorting.Rate this question:
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- 21.
The system of linear equations (4d - 1)x +y + z = 0 - y + z = 0 (4d - 1) z = 0 has a non-trivial solution, if d equals
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1/2
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1/4
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3/4
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1
Correct Answer
A. 1/4Explanation
The given system of linear equations has a non-trivial solution if and only if the determinant of the coefficient matrix is equal to zero. The coefficient matrix for the system is:
[4d - 1 1 1]
[ 0 -1 1]
[4d - 1 0 0]
To find the determinant, we can use the cofactor expansion along the first row. Expanding along the first row, we get:
(4d - 1)[(-1)(0) - (1)(0)] - 1[(0)(0) - (4d - 1)(0)] + 1[(0)(1) - (-1)(4d - 1)]
= 0 - 0 + (0 - (-4d + 1))
= 0 + 4d - 1
= 4d - 1
For the system to have a non-trivial solution, the determinant must be equal to zero. Therefore, we have:
4d - 1 = 0
4d = 1
d = 1/4
Hence, the correct answer is 1/4.Rate this question:
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- 22.
For what value of ‘a’ the vectors 2i^−3j^+4k^ and a^i^+6^j^−8k^ are collinear?
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5
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-4
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-6
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10
Correct Answer
A. -4Explanation
The vectors 2i^-3j^+4k^ and a^i^+6^j^-8k^ are collinear when they are scalar multiples of each other. In other words, one vector can be obtained by multiplying the other vector by a constant. To find this constant, we can equate the corresponding components of the two vectors and solve for a. By comparing the coefficients of i, j, and k, we get the equations 2 = a and -3 = 6 and 4 = -8. Solving the first equation, we find that a = 2. Therefore, the correct answer is -4.Rate this question:
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- 23.
What is the order of the differential equation given by dy/dx+4y=sinx?
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0.5
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1
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2
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0
Correct Answer
A. 1Explanation
The order of a differential equation is determined by the highest derivative present in the equation. In this case, the highest derivative is dy/dx, which is a first derivative. Therefore, the order of the differential equation is 1.Rate this question:
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- 24.
In a screw jack, the effort required to lift the load is given by (where W = Load lifted, α = Helix angle, and φ = Angle of friction.)
- (A) P = W tan (α - φ)
- (B) P = W tan (α + φ)
- (C) P = W tan (φ - α)
- (D) P = W cos (α + φ)
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A
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B
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C
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D
Correct Answer
A. BExplanation
The effort required to lift the load in a screw jack is given by the equation P = W tan (α + φ). This means that the effort required is proportional to the load lifted (W) and the tangent of the sum of the helix angle (α) and the angle of friction (φ). The correct answer is B.Rate this question:
- 25.
Which one correct?
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Option a
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Option b
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Option c
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Option d
Correct Answer
A. Option a -
- 26.
'Pneumoconiosis' is a disease caused by the inhalation of __________ dust. A. coal
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Uranium ore
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Iron ore
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Coal
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Lime
Correct Answer
A. CoalExplanation
Pneumoconiosis is a disease caused by the inhalation of coal dust. Coal miners and workers in coal-related industries are particularly at risk for developing this condition. When coal dust is inhaled, it can accumulate in the lungs and cause inflammation and scarring over time. This can lead to symptoms such as coughing, shortness of breath, and chest pain. Therefore, coal dust is the correct answer for the cause of pneumoconiosis.Rate this question:
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- 27.
The number of kilowatts in 135 milliwatts is
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1.35 × 10–4 kW
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135 × 10–3 kW
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0.0135 kW
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0.00135 kW
Correct Answer
A. 1.35 × 10–4 kWExplanation
The given question asks for the number of kilowatts in 135 milliwatts. To convert milliwatts to kilowatts, we divide by 1000 since there are 1000 milliwatts in 1 watt. Therefore, 135 milliwatts is equal to 135/1000 = 0.135 watts. To convert watts to kilowatts, we divide by 1000 again since there are 1000 watts in 1 kilowatt. Therefore, 0.135 watts is equal to 0.135/1000 = 0.000135 kilowatts. In scientific notation, this is represented as 1.35 × 10–4 kW.Rate this question:
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- 28.
The insulation resistance of cables, transformers etc is measured by following instrument
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Meggar
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Wheatstone bridge
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Kelvin bridge
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Decade box
Correct Answer
A. MeggarExplanation
The correct answer is "Meggar" because a Meggar is an instrument specifically designed to measure the insulation resistance of cables, transformers, and other electrical equipment. It applies a high voltage to the insulation and measures the current flowing through it, allowing for the determination of the insulation resistance.Rate this question:
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- 29.
A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve
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Circular arc
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Parabola
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Hyperbola
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Elliptical
Correct Answer
A. ParabolaExplanation
When a heavy string is attached at two ends at the same horizontal level and the central dip is very small, it forms a parabolic curve. This is because the force of gravity acting on the string causes it to sag in the middle, creating a shape that resembles a parabola. The parabolic curve is a result of the balanced tension in the string and the force of gravity acting on it.Rate this question:
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- 30.
A redundant frame is also called __________ frame.
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Perfect
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Imperfect
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Deficient
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None of these
Correct Answer
A. ImperfectExplanation
A redundant frame is also called an "imperfect" frame because it contains unnecessary or extra elements that are not required for its structural integrity. These additional elements can add weight and complexity to the frame without providing any significant benefits. Therefore, an imperfect frame is not considered to be the most efficient or optimal design.Rate this question:
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- 31.
Which one correct?
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Option a
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Option b
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Option c
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Option d
Correct Answer
A. Option b -
- 32.
Solution of the differential equation sec2 x tany dx + sec2 y tanx dy=0 is _______
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(sec x. sec y)=k
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(sec x .tany)=k
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(tan x. tany)=k
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(sec x .tan x)+(sec y .tan y)=k
Correct Answer
A. (tan x. tany)=kExplanation
The given differential equation is solved by separating the variables and integrating. By rearranging the equation, we can rewrite it as sec^2(x)tan(y)dx + sec^2(y)tan(x)dy = 0. Dividing through by sec^2(x)sec^2(y), we get tan(x)tan(y)dx + dy = 0. Integrating both sides, we obtain the solution tan(x)tan(y) + y = k, where k is a constant. Therefore, the correct answer is (tan x. tany) = k.Rate this question:
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- 33.
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
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1/13
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3/13
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1/4
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9/52
Correct Answer
A. 3/13Explanation
The probability of drawing a face card from a deck of 52 cards can be calculated by dividing the number of face cards (12) by the total number of cards in the deck (52). Therefore, the probability is 12/52, which simplifies to 3/13.Rate this question:
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- 34.
If a loop in a basic dc generator suddenly begins rotating at a faster speed, the induced voltage
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Remains unchanged
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Reverses polarity
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Increases
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Decreases
Correct Answer
A. IncreasesExplanation
If a loop in a basic dc generator suddenly begins rotating at a faster speed, the induced voltage increases. This is because the induced voltage in a generator is directly proportional to the rate of change of magnetic field strength, which is determined by the speed at which the loop rotates. Therefore, if the speed increases, the rate of change of magnetic field strength also increases, leading to a higher induced voltage.Rate this question:
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- 35.
In a single threaded worm and worm wheel, the number of teeth on the worm is 50. The diameter of the effort wheel is 100 mm and that of load drum is 50 mm. The velocity ratio is
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50
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100
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200
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400
Correct Answer
A. 100Explanation
The velocity ratio is determined by the ratio of the number of teeth on the worm to the sum of the diameters of the effort wheel and load drum. In this case, the worm has 50 teeth, and the sum of the diameters of the effort wheel (100 mm) and load drum (50 mm) is 150 mm. Therefore, the velocity ratio is 50/150, which simplifies to 1/3 or 0.33. However, since the answer choices are given as whole numbers, the closest whole number to 0.33 is 0. Therefore, the correct answer is 100.Rate this question:
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- 36.
Moment of inertia is the
- (A) Second moment of force
- (B) Second moment of area
- (C) Second moment of mass
- (D) All of these
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A
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B
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C
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D
Correct Answer
A. DExplanation
The correct answer is D. Moment of inertia is the second moment of area, second moment of mass, and second moment of force. This means that moment of inertia is a property that describes how an object's mass or area is distributed around an axis of rotation, as well as how resistant it is to changes in its rotational motion. All three interpretations of moment of inertia are valid and interconnected.Rate this question:
- 37.
Which access method is used for obtaining a record from a cassette tape?
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Direct
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Random
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Sequential
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None
Correct Answer
A. SequentialExplanation
Sequential access is the correct answer because it is the access method used for obtaining a record from a cassette tape. In sequential access, data is stored in a sequential manner on the tape, and the tape must be read from the beginning to reach the desired record. This access method is commonly used for devices like cassette tapes, where data is stored and retrieved in a linear fashion.Rate this question:
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- 38.
Moment of inertia of a hollow rectangular section as shown in the below figure about X-X axis, is
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(BD³/12) - (bd³/12)
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(DB³/12) - (db³/12)
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(BD³/36) - (bd³/36)
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(DB³/36) - (db³/36)
Correct Answer
A. (BD³/12) - (bd³/12)Explanation
The moment of inertia of a hollow rectangular section about the X-X axis can be calculated by subtracting the moment of inertia of the inner rectangle (bd³/12) from the moment of inertia of the outer rectangle (BD³/12). This is because the moment of inertia of a composite shape can be calculated by adding or subtracting the individual moments of inertia of its component shapes. Therefore, the correct answer is (BD³/12) - (bd³/12).Rate this question:
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- 39.
According to Lami's theorem
- (A) Three forces acting at a point will be in equilibrium
- (B) Three forces acting at a point can be represented by a triangle, each side being proportional to force
- (C) If three forces acting upon a particle are represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium
- (D) If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two
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A
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B
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C
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D
Correct Answer
A. DExplanation
According to Lami's theorem, if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two forces. This means that the magnitude of each force is directly related to the angle between the other two forces. Therefore, option D is the correct answer as it accurately represents Lami's theorem.Rate this question:
- 40.
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
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21/46
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3/13
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12/13
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3/8
Correct Answer
A. 21/46Explanation
The probability of selecting 1 girl and 2 boys can be calculated by dividing the number of favorable outcomes (selecting 1 girl and 2 boys) by the total number of possible outcomes (selecting any 3 students). The number of ways to select 1 girl from 10 girls is 10C1, and the number of ways to select 2 boys from 15 boys is 15C2. The total number of ways to select any 3 students from a class of 25 is 25C3. Simplifying the expression (10C1 * 15C2) / 25C3 gives the probability of 21/46.Rate this question:
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- 41.
The induced voltage across a coil with 250 turns that is located in a magnetic field that is changing at a rate of 8 Wb/s is
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1000v
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2000v
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31.25v
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3.125v
Correct Answer
A. 2000vExplanation
When a coil is located in a magnetic field that is changing, an induced voltage is created in the coil. This induced voltage is given by the equation V = N * dΦ/dt, where V is the induced voltage, N is the number of turns in the coil, and dΦ/dt is the rate of change of the magnetic flux. In this case, the coil has 250 turns and the magnetic field is changing at a rate of 8 Wb/s. Plugging these values into the equation, we get V = 250 * 8 = 2000 V. Therefore, the correct answer is 2000v.Rate this question:
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- 42.
Which of the following is not the unit of energy?
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kg m
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kcal
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Watt
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Watt hours
Correct Answer
A. WattExplanation
The unit of energy is not Watt. Watt is the unit of power, which is the rate at which energy is transferred or converted. Energy can be measured in units such as joules (J) or kilocalories (kcal), but not in watts.Rate this question:
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- 43.
If the normal cross-section ‘A’ of a member is subjected to tensile force ‘P’, the resulting normal stress in an oblique plane inclined at angle ‘θ’ to transverse plane will be
- (A) (P/A) sin2θ
- (B) (P/A) cos2θ
- (C) (P/2A) sin 2θ
- (D) (P/2A) cos 2θ
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A
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B
-
C
-
D
Correct Answer
A. BExplanation
When a member is subjected to tensile force, the resulting normal stress in an oblique plane inclined at an angle θ to the transverse plane can be calculated using the formula (P/A) cos^2θ. This formula takes into account the component of the force acting perpendicular to the plane, which is equal to P cosθ, and divides it by the cross-sectional area A. The cos^2θ term accounts for the inclination of the plane. Therefore, option B, (P/A) cos^2θ, is the correct answer.Rate this question:
- 44.
#include<stdio.h> /* Assume there is a file called 'file.c' in c:\tc directory. */ int main() { FILE *fp; fp=fopen("c:\tc\file.c", "r"); if(!fp) printf("Unable to open file."); fclose(fp); return 0; }
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No error
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Program crashes at run time
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Output : unable to open file
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None of the above
Correct Answer
A. Output : unable to open fileExplanation
The program will output "Unable to open file" because the fopen function is unable to open the file "c:\tc\file.c" for reading. This could be due to the file not existing or the program not having the necessary permissions to access the file.Rate this question:
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- 45.
Threshold Limit Value (TLV) is the maximum allowable concentration (i.e. safe limit) of pollutants in air. Safe limit for SO2 in air is __________ ppm.
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5
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500
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1000
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3000
Correct Answer
A. 5Explanation
The safe limit for SO2 in air is 5 ppm. The Threshold Limit Value (TLV) is the maximum concentration of pollutants that is considered safe for human exposure. In the case of SO2, a safe limit of 5 ppm means that concentrations of SO2 in the air should not exceed this level to prevent harm to human health.Rate this question:
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- 46.
Which one correct?
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Option a
-
Option b
-
Option c
-
Option d
Correct Answer
A. Option d -
- 47.
If |a⃗ | = 4 and -3 ≤ λ ≤ 2 then the range of |λa⃗ | is
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[0, 8]
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[-12, 8]
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[0, 12]
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[8,12]
Correct Answer
A. [0, 12]Explanation
The range of |λa⃗| can be determined by finding the minimum and maximum values of |λa⃗|. Since |a⃗| = 4 and -3 ≤ λ ≤ 2, the minimum value of |λa⃗| occurs when λ = -3 and the maximum value occurs when λ = 2. Therefore, the minimum value of |λa⃗| is |-3a⃗| = |-3 * 4| = 12 and the maximum value is |2a⃗| = |2 * 4| = 8. Hence, the range of |λa⃗| is [0, 12].Rate this question:
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- 48.
If ax2 + bx + c < 0, x Î R then ax2 + bx + c = 0 has (a ¹ 0)
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Two real roots
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One real root
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Complex roots
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None of these
Correct Answer
A. Complex rootsExplanation
If a quadratic equation ax^2 + bx + c = 0 has complex roots, it means that the discriminant (b^2 - 4ac) is negative. In the given question, it is stated that ax^2 + bx + c < 0, which implies that the quadratic expression is negative. Since the quadratic equation has complex roots (which occur when the discriminant is negative), the correct answer is "Complex roots".Rate this question:
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- 49.
Which of the following computer language is used for artificial intelligence?
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FORTRAN
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C
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PROLOG
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COBOL
Correct Answer
A. PROLOGExplanation
PROLOG is a computer language that is commonly used for artificial intelligence. It is a declarative programming language that is designed to facilitate logical reasoning and problem-solving. PROLOG is particularly well-suited for tasks that involve complex search algorithms and knowledge representation. It is often used in areas such as expert systems, natural language processing, and automated reasoning.Rate this question:
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