KCET Question Paper 2021 (Available): Check Previous Year Question Paper with Solution PDF (2023-2004)

KCET 2021 Questions

• 1.

  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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• 2.

  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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• 3.

  If 'a' and 'b' are the order and degree respectively of the differentiable equation \[ \frac{d^2 y}{dx^2} + \left(\frac{dy}{dx}\right)^3 + x^4 = 0, \quad \text{then} \, a - b = \, \_ \_ \]

  • 2
    
  • -1
    
  • 0
    
  • 1
    
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• 4.

  Meera visits only one of the two temples A and B in her locality. Probability that she visits temple A is \( \frac{2}{5} \). If she visits temple A, the probability that she meets her friend is \( \frac{1}{3} \). The probability that she meets her friend, whereas it is \( \frac{2}{7} \) if she visits temple B. Meera met her friend at one of the two temples. The probability that she met her friend at temple B is:

  • \( \frac{5}{16} \)
    
  • \( \frac{3}{16} \)
    
  • \( \frac{9}{16} \)
    
  • \( \frac{7}{16} \)
    
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• 5.

  In a practical examination, the following pedigree chart was given as a spotter for identification. The students identify the given pedigree chart as
  

  • Sex-linked dominant
    
  • Sex-linked recessive
    
  • Autosomal dominant
    
  • Autosomal recessive
    
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