Major Competitive Exams

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Q. Which of the following equations has roots that are both negative? (2022)
  • A. x² + 4x + 4 = 0
  • B. x² - 4x + 4 = 0
  • C. x² + 2x + 1 = 0
  • D. x² - 2x + 1 = 0
Q. Which of the following equations is true in modular arithmetic?
  • A. 5 ≡ 10 (mod 5)
  • B. 6 ≡ 12 (mod 6)
  • C. 7 ≡ 14 (mod 7)
  • D. 8 ≡ 15 (mod 8)
Q. Which of the following equations is used to calculate dynamic viscosity?
  • A. Bernoulli's equation
  • B. Navier-Stokes equation
  • C. Poiseuille's law
  • D. Archimedes' principle
Q. Which of the following equations relates Gibbs Free Energy to enthalpy and entropy?
  • A. ΔG = ΔH - TΔS
  • B. ΔG = TΔS - ΔH
  • C. ΔG = ΔH + TΔS
  • D. ΔG = ΔH / T + ΔS
Q. Which of the following equations represents a circle with a center at (0, 0) and a radius of 5?
  • A. x^2 + y^2 = 5
  • B. x^2 + y^2 = 25
  • C. x^2 - y^2 = 25
  • D. x^2 + y^2 = 10
Q. Which of the following equations represents a circle with a center at (3, -2) and a radius of 5?
  • A. (x - 3)² + (y + 2)² = 25
  • B. (x + 3)² + (y - 2)² = 25
  • C. (x - 3)² + (y - 2)² = 25
  • D. (x + 3)² + (y + 2)² = 25
Q. Which of the following equations represents a line parallel to the line represented by 2x + 3y = 6?
  • A. 2x + 3y = 12
  • B. 3x + 2y = 6
  • C. x - 2y = 4
  • D. 4x + 6y = 18
Q. Which of the following equations represents a line parallel to y = -3x + 4?
  • A. y = -3x + 1
  • B. y = 3x - 4
  • C. y = -x + 2
  • D. y = 2x + 3
Q. Which of the following equations represents a valid modular arithmetic statement?
  • A. 5x ≡ 10 (mod 5)
  • B. 6x ≡ 12 (mod 6)
  • C. 7x ≡ 14 (mod 7)
  • D. 8x ≡ 16 (mod 8)
Q. Which of the following equations represents Bernoulli's principle?
  • A. P + 1/2 ρv² + ρgh = constant
  • B. P = ρgh
  • C. F = ma
  • D. V = IR
Q. Which of the following equations represents the condition for the first minimum in single-slit diffraction?
  • A. a sin(θ) = mλ
  • B. a sin(θ) = (m + 0.5)λ
  • C. a sin(θ) = (m + 1)λ
  • D. a sin(θ) = 0
Q. Which of the following equations represents the condition for the first minimum in a single-slit diffraction pattern?
  • A. a sin(θ) = λ
  • B. a sin(θ) = 2λ
  • C. a sin(θ) = 3λ
  • D. a sin(θ) = 0
Q. Which of the following equations represents the ideal gas law?
  • A. PV = nRT
  • B. PV = nR
  • C. PV = RT
  • D. P = nRT/V
Q. Which of the following equations represents the relationship between shear stress and shear rate in a Newtonian fluid?
  • A. τ = μ(du/dy)
  • B. τ = ρg
  • C. F = ma
  • D. P = F/A
Q. Which of the following ethers is commonly used as an anesthetic?
  • A. Diethyl ether
  • B. Methyl ethyl ether
  • C. Phenyl ether
  • D. Tert-butyl ether
Q. Which of the following events directly led to the American Civil War?
  • A. The signing of the Declaration of Independence
  • B. The Dred Scott decision
  • C. The Louisiana Purchase
  • D. The Emancipation Proclamation
Q. Which of the following events in the 20th century significantly impacted India's relations with its neighboring countries? (1947)
  • A. Partition of India
  • B. Independence of India
  • C. Non-Aligned Movement
  • D. Green Revolution
Q. Which of the following events is associated with the year 1919? (1919)
  • A. Jallianwala Bagh Massacre
  • B. Civil Disobedience Movement
  • C. Dandi March
  • D. Formation of Indian National Congress
Q. Which of the following events is often cited as a consequence of climate change during the Medieval period?
  • A. The fall of the Roman Empire
  • B. The Black Death
  • C. The Crusades
  • D. The Renaissance
Q. Which of the following events marked a significant shift towards inclusive growth in India during the 1990s? (1991)
  • A. Green Revolution
  • B. Economic Liberalization
  • C. Panchayati Raj
  • D. Nationalization of Banks
Q. Which of the following events marked the beginning of the French Revolution?
  • A. The Storming of the Bastille
  • B. The Declaration of the Rights of Man
  • C. The Reign of Terror
  • D. The Execution of Louis XVI
Q. Which of the following events marked the beginning of the Indian National Congress?
  • A. First Round Table Conference
  • B. Formation of the Indian National Congress
  • C. Quit India Movement
  • D. Civil Disobedience Movement
Q. Which of the following events marked the beginning of the Indian National Movement?
  • A. Formation of the Indian National Congress in 1885
  • B. The Revolt of 1857
  • C. The Partition of Bengal in 1905
  • D. The Jallianwala Bagh Massacre in 1919
Q. Which of the following events marked the beginning of the modern Indian freedom struggle?
  • A. The Sepoy Mutiny of 1857
  • B. The formation of the Indian National Congress in 1885
  • C. The Jallianwala Bagh massacre in 1919
  • D. The Quit India Movement of 1942
Q. Which of the following events marked the beginning of the Space Age? (1957)
  • A. A. Launch of Sputnik 1
  • B. B. Apollo 11 Moon landing
  • C. C. Launch of Vostok 1
  • D. D. First human in space
Q. Which of the following events marked the end of the Cold War? (1989)
  • A. Fall of the Berlin Wall
  • B. Vietnam War
  • C. Cuban Missile Crisis
  • D. Korean War
Q. Which of the following events occurred first in the Indian Freedom Movement? (1920)
  • A. Jallianwala Bagh Massacre
  • B. Civil Disobedience Movement
  • C. Non-Cooperation Movement
  • D. Quit India Movement
Q. Which of the following events occurred in 2001, significantly impacting global politics? (2001)
  • A. 9/11 Attacks
  • B. Iraq War
  • C. Global Financial Crisis
  • D. Brexit Referendum
Q. Which of the following expressions correctly relates ΔG, ΔH, and ΔS?
  • A. ΔG = ΔH + TΔS
  • B. ΔG = ΔH - TΔS
  • C. ΔG = TΔS - ΔH
  • D. ΔG = ΔH + ΔS
Q. Which of the following expressions is equivalent to (2^3)^2?
  • A. 2^5
  • B. 2^6
  • C. 2^9
  • D. 2^1
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