Major Competitive Exams

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Q. What is the result of adding the polynomials 2x^2 + 3x + 4 and 5x^2 - x + 2?
  • A. 7x^2 + 2x + 6
  • B. 3x^2 + 4x + 6
  • C. 7x^2 + 4x + 6
  • D. 3x^2 + 2x + 4
Q. What is the result of adding the polynomials P(x) = 3x^2 + 2x + 1 and Q(x) = x^2 - x + 4?
  • A. 4x^2 + x + 5
  • B. 4x^2 + 3x + 5
  • C. 2x^2 + x + 5
  • D. 3x^2 + x + 5
Q. What is the result of cytokinesis in animal cells? (2020)
  • A. Formation of a cell plate
  • B. Formation of two daughter cells
  • C. Replication of DNA
  • D. Separation of sister chromatids
Q. What is the result of destructive interference when two waves of equal amplitude meet?
  • A. Amplitude doubles
  • B. Amplitude becomes zero
  • C. Amplitude remains the same
  • D. Phase difference is π
Q. What is the result of dividing 100.0 by 4.00, considering significant figures?
  • A. 25.0
  • B. 25
  • C. 25.00
  • D. 24.99
Q. What is the result of dividing 150.0 by 3.00, considering significant figures?
  • A. 50.0
  • B. 50
  • C. 50.00
  • D. 49.99
Q. What is the result of dividing 6.38 by 2.0, considering significant figures?
  • A. 3.19
  • B. 3.2
  • C. 3.0
  • D. 3.5
Q. What is the result of dividing 8.0 by 2.00, considering significant figures?
  • A. 4.0
  • B. 4
  • C. 4.00
  • D. 4.000
Q. What is the result of interference when two waves of equal amplitude and opposite phase meet?
  • A. Constructive interference
  • B. Destructive interference
  • C. No interference
  • D. Random interference
Q. What is the result of interference when two waves of equal amplitude and opposite phase combine?
  • A. Constructive interference
  • B. Destructive interference
  • C. No interference
  • D. Partial interference
Q. What is the result of light passing through a polarizer followed by an analyzer oriented at 90 degrees to the polarizer?
  • A. All light passes through
  • B. No light passes through
  • C. Half the light passes through
  • D. Light intensity is doubled
Q. What is the result of mixing equal volumes of 0.1 M HCl and 0.1 M NaOH?
  • A. pH < 7
  • B. pH = 7
  • C. pH > 7
  • D. Cannot be determined
Q. What is the result of mixing equal volumes of 0.5 M HCl and 0.5 M NaOH?
  • A. pH < 7
  • B. pH = 7
  • C. pH > 7
  • D. No reaction
Q. What is the result of multiplying 2.5 by 3.456, considering significant figures?
  • A. 8.64
  • B. 8.6
  • C. 8.65
  • D. 8.7
Q. What is the result of multiplying 6.02 x 10^23 by 3.0, considering significant figures?
  • A. 1.8 x 10^24
  • B. 1.806 x 10^24
  • C. 1.80 x 10^24
  • D. 1.8060 x 10^24
Q. What is the result of simplifying the expression 2^(3x) * 2^(2x) / 2^(4x)?
  • A. 2^(x)
  • B. 2^(x-1)
  • C. 2^(0)
  • D. 2^(5x)
Q. What is the result of simplifying the expression 2^(3x) * 2^(2x) / 2^(5x)?
  • A. 2^0
  • B. 2^x
  • C. 2^(3x + 2x - 5x)
  • D. 2^(5x)
Q. What is the result of subtracting 5.00 from 10.0, considering significant figures?
  • A. 5.0
  • B. 5
  • C. 5.00
  • D. 5.000
Q. What is the result of subtracting 5.678 from 10.0, considering significant figures?
  • A. 4.32
  • B. 4.3
  • C. 4.4
  • D. 4.00
Q. What is the result of the symmetric difference between two hybrid sets A and B?
  • A. Elements common to both sets.
  • B. Elements unique to each set.
  • C. All elements from both sets.
  • D. No elements at all.
Q. What is the resultant of the vectors (2, 3) and (-1, 4)?
  • A. (1, 7)
  • B. (3, 1)
  • C. (1, 1)
  • D. (2, 4)
Q. What is the resultant of vectors (1, 2) and (-1, -2)?
  • A. (0, 0)
  • B. (1, 2)
  • C. (2, 4)
  • D. (1, 1)
Q. What is the right-hand rule used for in magnetism?
  • A. To determine the direction of current
  • B. To find the direction of magnetic field
  • C. To find the direction of force on a charge
  • D. All of the above
Q. What is the RMS speed of a gas at temperature T?
  • A. (3RT/M)^0.5
  • B. (RT/M)^0.5
  • C. (2RT/M)^0.5
  • D. (RT/3M)^0.5
Q. What is the RMS speed of a gas with a molar mass of 0.032 kg/mol at 273 K?
  • A. 400 m/s
  • B. 500 m/s
  • C. 600 m/s
  • D. 700 m/s
Q. What is the RMS speed of an ideal gas in terms of its temperature and molar mass?
  • A. sqrt((3RT)/M)
  • B. sqrt((2RT)/M)
  • C. sqrt((RT)/M)
  • D. sqrt((3M)/RT)
Q. What is the RMS speed of an ideal gas in terms of temperature and molar mass?
  • A. sqrt((3RT)/M)
  • B. sqrt((RT)/M)
  • C. sqrt((3kT)/m)
  • D. sqrt((2RT)/M)
Q. What is the RMS value of an AC voltage given by V(t) = V0 sin(ωt)?
  • A. V0
  • B. V0/√2
  • C. V0√2
  • D. 0
Q. What is the role of 'linear programming' in modern mathematics?
  • A. To solve equations with multiple variables.
  • B. To optimize a linear objective function subject to linear equality and inequality constraints.
  • C. To analyze statistical data.
  • D. To calculate geometric properties.
Q. What is the role of 'mathematical induction' in proofs?
  • A. To prove statements for all integers
  • B. To establish the validity of geometric theorems
  • C. To solve algebraic equations
  • D. To analyze statistical data
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