KCET Question Paper 2024: Check Previous Year Question Paper with Solution PDF (2023-2004)

KCET 2024 Questions

• 1.

  A random experiment has five outcomes \(w_1, w_2, w_3, w_4, w_5\). The probabilities of the occurrence of the outcomes \(w_1, w_2, w_4, w_5\) are respectively \( \frac{1}{6}, a, b, \frac{1}{12} \) such that \(12a + 12b - 1 = 0\). Then the probabilities of occurrence of the outcome \(w_3\) is:
  

  • \( \frac{1}{3} \)
    
  • \( \frac{1}{6} \)
    
  • \( \frac{1}{12} \)
    
  • \( \frac{2}{3} \)
    
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• 2.

  A wooden block of mass M lies on a rough floor. Another wooden block of the same mass is hanging from the point O through strings as shown in the figure. To achieve equilibrium, the coefficient of static friction between the block on the floor and the floor itself is 
  

  • \( \mu = \tan \theta \)
    
  • \( \mu = \cos \theta \)
    
  • \( \mu = \sin \theta \)
    
  • \( \mu = \tan \theta \)
    
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• 3.

  If \( A \) is a square matrix of order \( 3 \times 3 \), \( \det A = 3 \), then the value of \( \det(3A^{-1}) \) is:
  

  • 3
    
  • 27
    
  • 9
    
  • \( \frac{1}{3} \)
    
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• 4.

  The number of orbitals associated with 'N' shell of an atom is
  

  • 32
    
  • 3
    
  • 4
    
  • 16
    
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• 5.

  The system of equations \( 4x + 6y = 5 \) and \( 8x + 12y = 10 \) has:
  

  • Infinitely many solutions.
    
  • A unique solution.
    
  • Only two solutions.
    
  • No solution.
    
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