Q. For the quadratic equation x² + 2x + k = 0 to have real roots, what is the condition on k? (2021)
  • A. k ≥ 1
  • B. k ≤ 1
  • C. k > 1
  • D. k < 1
Q. For the quadratic equation x² + 6x + k = 0 to have no real roots, what must be the value of k? (2021)
  • A. k < 9
  • B. k > 9
  • C. k = 9
  • D. k ≤ 9
Q. For the quadratic equation x² + 6x + k = 0 to have real roots, what is the minimum value of k? (2021)
  • A. -9
  • B. -6
  • C. 0
  • D. 6
Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what happens to the equilibrium if the volume of the container is decreased? (2022)
  • A. Equilibrium shifts to the left
  • B. Equilibrium shifts to the right
  • C. No effect on equilibrium
  • D. Equilibrium constant changes
Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what happens to the equilibrium position if SO3 is removed from the system? (2023)
  • A. The equilibrium shifts to the left
  • B. The equilibrium shifts to the right
  • C. The equilibrium remains unchanged
  • D. The reaction stops
Q. For the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what will happen if the volume of the container is increased? (2020) 2020
  • A. Equilibrium shifts to the right
  • B. Equilibrium shifts to the left
  • C. No change in equilibrium
  • D. Reaction stops
Q. For the reaction A(g) ⇌ B(g) + C(g), if the concentration of B is increased, what will be the effect on the equilibrium? (2020)
  • A. Shift to the right
  • B. Shift to the left
  • C. No effect
  • D. Increase in temperature
Q. For the reaction N2(g) + 3H2(g) ⇌ 2NH3(g), what happens to the equilibrium if the volume of the container is decreased? (2020)
  • A. Equilibrium shifts to the right
  • B. Equilibrium shifts to the left
  • C. No change in equilibrium
  • D. Equilibrium shifts to the side with more moles
Q. For the reaction: 2SO2(g) + O2(g) ⇌ 2SO3(g), what happens to the equilibrium position if the volume of the container is decreased? (2020)
  • A. Shifts to the left
  • B. Shifts to the right
  • C. No change
  • D. Depends on temperature
Q. For the reaction: 2SO2(g) + O2(g) ⇌ 2SO3(g), what is the effect of increasing temperature on the equilibrium if the reaction is exothermic? (2020)
  • A. Equilibrium shifts to the right
  • B. Equilibrium shifts to the left
  • C. No effect on equilibrium
  • D. Equilibrium constant increases
Q. For the reaction: 2SO2(g) + O2(g) ⇌ 2SO3(g), what will happen if the volume of the container is increased? (2020)
  • A. Equilibrium shifts to the right
  • B. Equilibrium shifts to the left
  • C. No change in equilibrium
  • D. Equilibrium shifts to the center
Q. For the reaction: A(g) + B(g) ⇌ C(g) + D(g), if the volume of the container is decreased, what will be the effect on the equilibrium? (2023)
  • A. Shift to the left
  • B. Shift to the right
  • C. No effect
  • D. Increase the concentration of A
Q. For which value of k does the equation x² - kx + 9 = 0 have no real roots? (2021)
  • A. 6
  • B. 8
  • C. 4
  • D. 10
Q. For which value of k does the equation x² - kx + 9 = 0 have roots that are both positive? (2023)
  • A. 6
  • B. 8
  • C. 10
  • D. 12
Q. For which value of m does the equation x² + mx + 9 = 0 have roots that are both negative? (2021)
  • A. -6
  • B. -4
  • C. -2
  • D. 2
Q. For which value of m does the equation x² - mx + 9 = 0 have roots 3 and 3? (2023)
  • A. 6
  • B. 9
  • C. 3
  • D. 0
Q. For which value of p does the equation x² + px + 4 = 0 have roots 2 and -2? (2022)
  • A. 0
  • B. 4
  • C. -4
  • D. 2
Q. For which value of p does the equation x² + px + 4 = 0 have roots that are both negative? (2022)
  • A. -8
  • B. -6
  • C. -4
  • D. -2
Q. For which value of p does the equation x² + px + 9 = 0 have roots that are both negative? (2021)
  • A. -6
  • B. -4
  • C. -3
  • D. -2
Q. For which value of p does the equation x² - px + 9 = 0 have roots 3 and 3? (2021)
  • A. 6
  • B. 3
  • C. 9
  • D. 0
Q. How does gravitational potential energy (U) change when the distance from the center of the Earth increases? (2020)
  • A. It increases
  • B. It decreases
  • C. It remains constant
  • D. It becomes zero
Q. How does the gravitational force between two objects change if the mass of one object is halved?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It becomes zero
Q. How many different 4-digit PINs can be formed using the digits 0-9 if digits cannot be repeated?
  • A. 5040
  • B. 10000
  • C. 9000
  • D. 7200
Q. How many different 4-digit PINs can be formed using the digits 0-9 if repetition is allowed? (2020)
  • A. 10000
  • B. 1000
  • C. 100
  • D. 1000
Q. How many different 4-digit PINs can be formed using the digits 0-9 without repetition?
  • A. 5040
  • B. 9000
  • C. 10000
  • D. 1000
Q. How many different ways can 2 out of 5 different fruits be chosen?
  • A. 10
  • B. 15
  • C. 20
  • D. 25
Q. How many different ways can 3 boys and 2 girls be seated in a row?
  • A. 30
  • B. 60
  • C. 120
  • D. 180
Q. How many different ways can 4 different colored balls be arranged in a row? (2020)
  • A. 12
  • B. 24
  • C. 36
  • D. 48
Q. How many different ways can 4 prizes be distributed among 10 students? (2020)
  • A. 5040
  • B. 10000
  • C. 2100
  • D. 120
Q. How many different ways can 6 people be seated in a row? (2020)
  • A. 720
  • B. 600
  • C. 360
  • D. 480
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