KEAM 2026 Question Paper: Download Question Paper With Solutions PDF

4ADFK1

• 1.

  Nitrogen base not present in DNA:

  • Uracil
    
  • Guanine
    
  • Adenine
    
  • Cyclosine
    
  View Solution

  ---

• 2.

  Evaluate the integral: \[ \int e^x \sec(x) \left( \tan(x) + 1 \right) \, dx \]

  • \( e^x \sec(x) + C \)
  • \( e^x \sec(x) \left( \tan(x) + 1 \right) + C \)
  • \( e^x \sec(x) \tan(x) + C \)
  • \( e^x \sec(x) \tan(x) + e^x \sec(x) + C \)
  View Solution

  ---

• 3.

  Evaluate the integral: $ \int \frac{1}{x(x^4 + 1)} \, dx $

  • \( \frac{1}{2} \log |x| \)
    
  • \( \frac{1}{2} \log |x^4 + 1| \)
    
  • \( \frac{1}{x^4 + 1} \)
    
  • \( \frac{1}{2} \log |x^2 + 1| \)
    
  View Solution

  ---

• 4.

  Given the set $ S = \{ a, b, c, d, e, f \} $, find the total number of subsets with an odd number of elements.

  • \( 16 \)
    
  • \( 32 \)
    
  • \( 64 \)
    
  • \( 2^{6-1} = 32 \)
    
  View Solution

  ---

• 5.

  Variance of 240, 260, 270, 280

  • 15
    
  • 16
    
  • 18
    
  • 20
    
  View Solution