Major Competitive Exams

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Q. Under which article can a citizen approach the Supreme Court for the enforcement of Fundamental Rights? (2022)
  • A. Article 32
  • B. Article 226
  • C. Article 19
  • D. Article 21
Q. Under which Article of the Indian Constitution is the Right to Constitutional Remedies provided?
  • A. Article 21
  • B. Article 32
  • C. Article 19
  • D. Article 14
Q. Using Biot-Savart Law, what is the direction of the magnetic field produced by a current flowing in a straight wire?
  • A. Radially inward
  • B. Radially outward
  • C. Perpendicular to the wire
  • D. Parallel to the wire
Q. Using Biot-Savart Law, what is the magnetic field at the center of a circular loop of radius R carrying current I?
  • A. μ₀I/(2R)
  • B. μ₀I/(4R)
  • C. μ₀I/(πR)
  • D. μ₀I/(2πR)
Q. Using Gauss's law, what is the electric field inside a uniformly charged cylindrical shell of radius R?
  • A. 0
  • B. Q/(2πε₀R)
  • C. Q/(4πε₀R²)
  • D. Q/(2πε₀R²)
Q. Using Kirchhoff's Current Law, if three currents enter a junction as 2A, 3A, and I, what is the value of I if the total current leaving the junction is 5A?
  • A. 0A
  • B. 1A
  • C. 2A
  • D. 3A
Q. Using Kirchhoff's Current Law, if three currents enter a junction as 3A, 2A, and I, what is the value of I if the total current leaving the junction is 5A?
  • A. 4A
  • B. 5A
  • C. 2A
  • D. 3A
Q. Using Kirchhoff's Voltage Law, if a loop in a circuit has a 12V battery and two resistors of 4Ω and 6Ω, what is the voltage across the 4Ω resistor?
  • A. 4.8V
  • B. 8V
  • C. 6V
  • D. 3.2V
Q. Using Kirchhoff's Voltage Law, if a loop in a circuit has a 12V battery and two resistors of 4Ω and 6Ω, what is the voltage drop across the 4Ω resistor?
  • A. 4.8V
  • B. 8V
  • C. 6V
  • D. 3.2V
Q. Using Kirchhoff's voltage law, if a loop in a circuit has a 9V battery and two resistors (2Ω and 3Ω) with voltage drops of 4V and 5V respectively, is the loop correctly analyzed?
  • A. Yes
  • B. No
  • C. Only if the battery is 12V
  • D. Only if the resistors are in series
Q. Viruses are classified as: (2020)
  • A. Living organisms
  • B. Non-living entities
  • C. Prokaryotes
  • D. Eukaryotes
Q. Water is to Drink as Food is to?
  • A. Eat
  • B. Cook
  • C. Prepare
  • D. Serve
Q. What are the building blocks of nucleic acids?
  • A. Amino acids
  • B. Fatty acids
  • C. Nucleotides
  • D. Monosaccharides
Q. What are the dimensions of pressure?
  • A. ML^-1T^-2
  • B. ML^2T^-2
  • C. ML^2T^-1
  • D. M^0L^0T^0
Q. What are the roots of the equation 3x² - 12x + 12 = 0? (2019)
  • A. 2
  • B. 4
  • C. 0
  • D. 3
Q. What are the roots of the equation x² - 2x - 8 = 0? (2022)
  • A. -2 and 4
  • B. 2 and -4
  • C. 4 and -2
  • D. 0 and 8
Q. What are the roots of the equation x² - 5x + 6 = 0? (2021)
  • A. 1 and 6
  • B. 2 and 3
  • C. 3 and 2
  • D. 0 and 5
Q. What are the solutions of the equation cos(x) + sin(x) = 1?
  • A. x = 0
  • B. x = π/4
  • C. x = π/2
  • D. x = π
Q. What are the solutions of the equation cos(x) = -1/2 in the interval [0, 2π]?
  • A. 2π/3, 4π/3
  • B. π/3, 5π/3
  • C. π/2, 3π/2
  • D. 0, π
Q. What are the solutions of the equation cos(x) = -1/2?
  • A. 2π/3
  • B. 4π/3
  • C. π/3
  • D. 5π/3
Q. What are the solutions of the equation cos^2(x) - 1/2 = 0?
  • A. x = π/4
  • B. x = 3π/4
  • C. x = 5π/4
  • D. x = 7π/4
Q. What are the solutions of the equation sin(2x) = 0 in the interval [0, 2π]?
  • A. 0, π, 2π
  • B. 0, π/2, π
  • C. 0, π/4, π/2
  • D. 0, 3π/2
Q. What are the solutions of the equation sin(2x) = 0?
  • A. x = nπ/2
  • B. x = nπ
  • C. x = nπ + π/2
  • D. x = nπ + π
Q. What are the solutions of the equation sin(x) = sin(π/3)?
  • A. x = π/3
  • B. x = 2π/3
  • C. x = 4π/3
  • D. x = 5π/3
Q. What are the solutions of the equation sin^2(x) - sin(x) = 0?
  • A. x = nπ
  • B. x = nπ + π/2
  • C. x = nπ + 2π
  • D. x = nπ + π
Q. What can be concluded about the author's perspective on the topic?
  • A. The author is indifferent to the topic.
  • B. The author has a strong personal connection to the topic.
  • C. The author presents a balanced view of the topic.
  • D. The author is biased towards one side of the argument.
Q. What can be concluded about the author's tone in the passage?
  • A. Optimistic and hopeful
  • B. Skeptical and critical
  • C. Neutral and objective
  • D. Emotional and passionate
Q. What can be concluded about the author's view on education and technology?
  • A. Education should remain unchanged despite technological advances.
  • B. Technology should be integrated into education to enhance learning.
  • C. Technology is a hindrance to effective education.
  • D. Education and technology are unrelated fields.
Q. What can be concluded about the customer satisfaction ratings from the mixed graph?
  • A. Customer satisfaction has improved steadily over the years.
  • B. There was a sharp decline in customer satisfaction in the last year.
  • C. Customer satisfaction ratings have fluctuated without a clear trend.
  • D. Customer satisfaction ratings are irrelevant to sales performance.
Q. What can be concluded about the impact of variable D on variable E from the mixed graph? (2023)
  • A. D has a positive impact on E.
  • B. D negatively affects E.
  • C. D does not influence E.
  • D. The impact of D on E is inconclusive.
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