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CLASS 11

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Q. If 3x + 5 < 20, what is the maximum integer value of x?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. If 7x - 2 ≤ 5, what is the maximum integer value of x?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If 8 - 3x ≥ 2, what is the minimum integer value of x?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If A = {1, 2, 3} and B = {a, b}, how many one-to-one functions can be defined from A to B?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If A = {1, 2, 3} and B = {x, y}, how many functions can be defined from A to B?
  • A. 2
  • B. 6
  • C. 8
  • D. 12
Q. If a circuit has a total power of 100 watts and operates at 10 volts, what is the current?
  • A. 10 A
  • B. 5 A
  • C. 15 A
  • D. 20 A
Q. If a cyclist travels at a speed of 15 km/h, how far will he travel in 40 minutes?
  • A. 10 km
  • B. 12 km
  • C. 15 km
  • D. 20 km
Q. If A is a subset of B and B is a subset of C, which of the following is true?
  • A. A is a subset of C
  • B. C is a subset of A
  • C. B is a subset of A
  • D. None of the above
Q. If a line passes through the points (1, 2) and (3, 6), what is its slope?
  • A. 2
  • B. 3
  • C. 1
  • D. 4
Q. If a machine can complete a work in 10 hours, how much work can it do in 5 hours?
  • A. 50 units
  • B. 100 units
  • C. 200 units
  • D. 250 units
Q. If a machine does 500 J of work in 5 seconds, what is its power output?
  • A. 50 W
  • B. 100 W
  • C. 150 W
  • D. 200 W
Q. If a material has a tensile strength of 600 MPa and a yield strength of 300 MPa, what is the factor of safety if the working load is 150 MPa?
  • A. 1.5
  • B. 2
  • C. 2.5
  • D. 3
Q. If a person walks 4 km in 50 minutes, what is his speed in km/h?
  • A. 4.8 km/h
  • B. 5 km/h
  • C. 5.2 km/h
  • D. 6 km/h
Q. If a train travels 120 km in 2 hours, what is its speed in km/h?
  • A. 50 km/h
  • B. 60 km/h
  • C. 70 km/h
  • D. 80 km/h
Q. If a train travels 180 km at a speed of 90 km/h, how long does the journey take?
  • A. 1 hour
  • B. 2 hours
  • C. 2.5 hours
  • D. 3 hours
Q. If a worker can do 1/3 of a job in 2 hours, how long will it take him to complete the entire job?
  • A. 4 hours
  • B. 5 hours
  • C. 6 hours
  • D. 8 hours
Q. If cos(θ) = 0.5, what is the value of θ in degrees?
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. If f(x) = 2x + 3 and g(x) = x^2, what is g(f(2))?
  • A. 25
  • B. 28
  • C. 30
  • D. 32
Q. If f(x) = 3x - 5 and g(x) = x + 4, what is (f ∘ g)(1)?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If f(x) = 5x + 1, what is the value of f(0)?
  • A. 0
  • B. 1
  • C. 5
  • D. 10
Q. If set A has 12 elements, set B has 15 elements, and the intersection of A and B has 5 elements, what is the number of elements in the union of A and B?
  • A. 22
  • B. 25
  • C. 30
  • D. 35
Q. If set A has 8 elements, set B has 10 elements, and they have 4 elements in common, what is the number of elements in the union of A and B?
  • A. 14
  • B. 16
  • C. 18
  • D. 20
Q. If sin(θ) = 0.8, what is cos(θ) using the Pythagorean identity?
  • A. 0.6
  • B. 0.8
  • C. 0.4
  • D. 0.2
Q. If sin(θ) = 1/√2, what is the value of θ in degrees?
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. If tan(θ) = 1, what is the value of θ in degrees?
  • A. 0°
  • B. 30°
  • C. 45°
  • D. 60°
Q. If the first term of a geometric series is 4 and the common ratio is 3, what is the 4th term?
  • A. 36
  • B. 108
  • C. 324
  • D. 972
Q. If the first term of an arithmetic series is 7 and the common difference is 2, what is the 12th term?
  • A. 25
  • B. 27
  • C. 29
  • D. 31
Q. If the flow velocity doubles in a pipe, how does the kinetic energy per unit volume change?
  • A. It doubles
  • B. It quadruples
  • C. It remains the same
  • D. It halves
Q. If the function f(x) = x^2 - 4, what is f(-2)?
  • A. 0
  • B. 2
  • C. 4
  • D. 8
Q. If the line 3x + 4y = 12 is rewritten in slope-intercept form, what is the slope?
  • A. -3/4
  • B. 3/4
  • C. 4/3
  • D. -4/3
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