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Sections:PhysicsChemistryMathematics
Q1. [+4, -1]Mathematics
⚠ Negative Marking: -1 mark for each wrong MCQ (no negative for Numerical Answer questions)
If A = {1, 2, 3} and B = {2, 3, 4}, find A B.
A. {1}
B. {2, 3}
C. {2, 3, 4}
D. {1, 2, 3, 4}
Correct Answer: B A B = elements common to both sets = {2, 3}.
Q2. [+4, -1]Chemistry
Which of the following is a Lewis acid?
A. NH
B. AlCl
C. HO
D. OH
Correct Answer: B AlCl is electron deficient (can accept electron pair), hence a Lewis acid.
Q3. [+4, -1]Physics
The SI unit of magnetic flux is:
A. Tesla
B. Gauss
C. Weber
D. Henry
Correct Answer: C Magnetic flux is measured in Webers (Wb).
Q4. [+4, -1]Mathematics
The range of the function f(x) = x^2 is:
A. All real numbers
B. [0, )
C. (-, 0]
D. (0, )
Correct Answer: B x^2 0 for all real x -> range [0, ).
Q5. [+4, -1]Mathematics
If f(x) = 2x + 1, find f(3):
A. 5
B. 6
C. 7
D. 8
Correct Answer: C f(3) = 2(3) + 1 = 7.
Q6. [+4, -1]Mathematics
If the function f(x) = x^2 - 4x + 3 is given, what is the value of x for which f(x) is maximum or minimum?
A. 0
B. 1
C. 2
D. 3
Correct Answer: C To find the maximum or minimum of the function f(x), we need to find the critical points by taking the derivative of f(x) and setting it equal to zero. The derivative of f(x) = x^2 - 4x + 3 is f'(x) = 2x - 4. Setting f'(x) = 0, we get 2x - 4 = 0, which gives x = 2.
Q7. [+4, -1]Mathematics
The median of 1, 3, 5, 7, 9 is:
A. 3
B. 5
C. 5
D. 7
Correct Answer: C Middle value of sorted 5 numbers = 5.
Q8. [+4, -1]Physics
A body of mass 1 kg has weight approximately:
A. 1 N
B. 10 N
C. 100 N
D. 0.1 N
Correct Answer: B W = mg = 1 x 10 = 10 N (approx).
Q9. [+4, -1]Physics
Hooke's law relates stress and:
A. Force
B. Strain
C. Area
D. Volume
Correct Answer: B Within elastic limit, stress strain (Hooke's law).
Q10. [+4, -1]Physics
A thermodynamic system undergoes a process where the internal energy change is 100 J and the heat added to the system is 200 J. What is the work done by the system?
A. -100 J
B. 100 J
C. 200 J
D. 300 J
Correct Answer: A The first law of thermodynamics states that ΔU = Q - W, where ΔU is the internal energy change, Q is the heat added, and W is the work done. Rearranging the equation to solve for W, we get W = Q - ΔU = 200 J - 100 J = 100 J. However, the work done 'by' the system is in the opposite direction, so the work done by the system is -100 J.
Q11. [+4, -1]Physics
The efficiency of a Carnot engine operating between 500 K and 300 K is: