Major Competitive Exams

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Q. Which of the following statements is true regarding the Freundlich adsorption isotherm? (2020)
  • A. It applies only to monolayer adsorption.
  • B. It is applicable to heterogeneous surfaces.
  • C. It predicts a constant adsorption capacity.
  • D. It is a linear relationship.
Q. Which of the following statements is true regarding the function f(x) = 1/(x-3)?
  • A. Continuous at x = 3
  • B. Discontinuous at x = 3
  • C. Continuous everywhere
  • D. Discontinuous everywhere
Q. Which of the following statements is true regarding the function f(x) = x^2?
  • A. It is a linear function.
  • B. It is a quadratic function.
  • C. It is a constant function.
  • D. It is an exponential function.
Q. Which of the following statements is true regarding the function f(x) = |x|?
  • A. Continuous everywhere
  • B. Discontinuous at x = 0
  • C. Continuous only for x > 0
  • D. Discontinuous for x < 0
Q. Which of the following statements is true regarding the graph of a linear equation?
  • A. It can be a curve.
  • B. It is always a straight line.
  • C. It can have multiple slopes.
  • D. It can intersect the x-axis at multiple points.
Q. Which of the following statements is true regarding the graph of a quadratic function?
  • A. It is always a straight line.
  • B. It can open upwards or downwards.
  • C. It has no intercepts.
  • D. It is always increasing.
Q. Which of the following statements is true regarding the graph of the equation 3x + 4y = 12? (2023)
  • A. It intersects the x-axis at (4, 0).
  • B. It intersects the y-axis at (0, 3).
  • C. It has a positive slope.
  • D. It is a vertical line.
Q. Which of the following statements is true regarding the graph of the equation 5x + 2y = 10?
  • A. It is a vertical line.
  • B. It is a horizontal line.
  • C. It has a positive slope.
  • D. It has a negative slope.
Q. Which of the following statements is true regarding the graph of the equation y = mx + b?
  • A. The graph is always a circle.
  • B. The slope m indicates the steepness of the line.
  • C. The y-intercept b is always negative.
  • D. The graph can never be horizontal.
Q. Which of the following statements is true regarding the graph of the equation y = 2x + 1?
  • A. It is a vertical line.
  • B. It has a positive slope.
  • C. It intersects the y-axis at -1.
  • D. It has a negative slope.
Q. Which of the following statements is true regarding the HCF and LCM of two numbers? (2023)
  • A. HCF is always greater than LCM
  • B. HCF is the product of the numbers
  • C. LCM is always less than the product of the numbers
  • D. HCF * LCM = Product of the numbers
Q. Which of the following statements is true regarding the inductive effect?
  • A. It is a temporary effect.
  • B. It operates through pi bonds.
  • C. It is stronger than the mesomeric effect.
  • D. It decreases with distance.
Q. Which of the following statements is true regarding the International Date Line? (2019)
  • A. It is located at 180° longitude
  • B. It is a straight line
  • C. It is not recognized by all countries
  • D. All of the above
Q. Which of the following statements is true regarding the intersection of two constraint-based sets?
  • A. The intersection will always contain all elements of both sets.
  • B. The intersection may contain elements that satisfy the constraints of both sets.
  • C. The intersection will be empty if the sets have no common elements.
  • D. Both b and c are true.
Q. Which of the following statements is true regarding the intersection of two hybrid sets?
  • A. The intersection is always empty.
  • B. The intersection contains all elements from both sets.
  • C. The intersection contains only the common elements.
  • D. The intersection is equal to the union of the sets.
Q. Which of the following statements is true regarding the inverse of a function?
  • A. The inverse of a function is always a function.
  • B. The inverse of a function is defined only for linear functions.
  • C. The graph of a function and its inverse are symmetric about the line y = x.
  • D. The inverse of a function can never be found.
Q. Which of the following statements is true regarding the Langmuir adsorption isotherm?
  • A. It assumes a monolayer adsorption.
  • B. It applies to multilayer adsorption.
  • C. It is temperature independent.
  • D. It is only applicable to gases.
Q. Which of the following statements is true regarding the magnetic field due to a solenoid? (2023)
  • A. It is uniform inside and zero outside
  • B. It is zero inside and uniform outside
  • C. It is uniform both inside and outside
  • D. It varies linearly with distance
Q. Which of the following statements is true regarding the magnetic field due to a long straight conductor? (2020)
  • A. It is uniform and constant
  • B. It decreases with distance from the conductor
  • C. It is strongest at the center of the conductor
  • D. It is only present when the current is alternating
Q. Which of the following statements is true regarding the magnetic field inside a long solenoid? (2023)
  • A. It is zero
  • B. It is uniform and parallel to the axis
  • C. It varies with distance from the center
  • D. It is stronger at the ends
Q. Which of the following statements is true regarding the mean free path of gas molecules?
  • A. It increases with increasing temperature.
  • B. It decreases with increasing pressure.
  • C. It is independent of the size of the gas molecules.
  • D. It is constant for all gases.
Q. Which of the following statements is true regarding the mesomeric effect?
  • A. It can only be observed in aliphatic compounds.
  • B. It involves the movement of sigma electrons.
  • C. It is responsible for the stability of resonance structures.
  • D. It is a short-range effect.
Q. Which of the following statements is true regarding the mixed graph's data distribution? (2023)
  • A. The data is normally distributed.
  • B. The data is skewed to the right.
  • C. The data shows a uniform distribution.
  • D. The data is bimodal.
Q. Which of the following statements is true regarding the molecular orbital configuration of O2?
  • A. It has 2 unpaired electrons
  • B. It has 4 unpaired electrons
  • C. It is diamagnetic
  • D. It has a bond order of 3
Q. Which of the following statements is true regarding the molecular orbital theory?
  • A. It only applies to diatomic molecules.
  • B. It explains the magnetic properties of molecules.
  • C. It does not consider electron spin.
  • D. It is less accurate than valence bond theory.
Q. Which of the following statements is true regarding the moment of inertia?
  • A. It depends on the mass distribution
  • B. It is always constant
  • C. It is independent of the axis of rotation
  • D. It is only relevant for rigid bodies
Q. Which of the following statements is true regarding the number '0' in any number system?
  • A. It is always positive
  • B. It is always negative
  • C. It is neither positive nor negative
  • D. It is undefined
Q. Which of the following statements is true regarding the number '100' in base 3?
  • A. It is equal to 9
  • B. It is equal to 10
  • C. It is equal to 12
  • D. It is equal to 27
Q. Which of the following statements is true regarding the number 'A' in hexadecimal?
  • A. A is equal to 10
  • B. A is equal to 11
  • C. A is equal to 12
  • D. A is equal to 13
Q. Which of the following statements is true regarding the number 36?
  • A. It has exactly 9 factors.
  • B. It is a prime number.
  • C. It is a perfect square.
  • D. It is a multiple of 10.
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