KCET Question Paper 2020 (Available): Check Previous Year Question Paper with Solution PDF (2023-2004)

KCET 2020 Questions

• 1.

  If \( A = \{ x : x \text{ is an integer and } x^2 - 9 \geq 0 \} \), \[ B = \{ x : x \text{ is a natural number and } 2 \leq x \leq 5 \}, \quad C = \{ x : x \text{ is a prime number} \leq 4 \} \] Then \( (B - C) \cup A \) is:

  • \( \{2, 3, 4\} \)
    
  • \( \{3, 4, 5\} \)
    
  • \( \{2, 3, 5\} \)
    
  • \( \{-3, 3, 4\} \)
    
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• 2.

  If the number of terms in the binomial expansion of \((2x + 3)^n\) is 22, then the value of \(n\) is:
  

  • 6
    
  • 7
    
  • 9
    
  • 8
    
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• 3.

  A particle is in uniform circular motion. The equation of its trajectory is given by \( x = 2t^2 - 3t + 5 \), where \( x \) and \( y \) are in meters. The speed of the particle is 2 m/s. When the particle attains the lowest \( y \)-coordinate, the acceleration of the particle is (in \( \text{m/s}^2 \)):
  

  • \( 0.8 \hat{i} \)
    
  • \( 0.4 \hat{j} \)
    
  • \( 0.4 \hat{i} \)
    
  • \( 0.8 \hat{j} \)
    
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• 4.

  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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• 5.

  A potential at a point A is 3 V and that at another point B is 5 V. What is the work done in carrying a charge of 5 mC from B to A?
  

  • 4 J
    
  • -40 J
    
  • 40 J
    
  • -0.4 J
    
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