CBSE Class 10 Design Thinking & Innovation 2026 Question Paper with Solution PDF

CBSE X Questions

• 1.

  For any natural number n, \( 5^n \) ends with the digit :
  

  • 0
    
  • 5
    
  • 3
    
  • 2
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• 2.

  The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :
  

  

  • 0
    
  • 1
    
  • 3
    
  • 2
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• 3.

  Prove that \(2 + 3\sqrt{5}\) is an irrational number given that \(\sqrt{5}\) is an irrational number.
  

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• 4.

  Assertion (A) : \((\sqrt{3} + \sqrt{5})\) is an irrational number.
  Reason (R) : Sum of the any two irrational numbers is always irrational.
  

  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
    
  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
    
  • Assertion (A) is true, but Reason (R) is false.
    
  • Assertion (A) is false, but Reason (R) is true.
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• 5.

  Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is
  

  

  • \(2\pi r^3\)
    
  • \(3\pi r^3\)
    
  • \(5\pi r^3\)
    
  • \(4\pi r^3\)
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• 6.

  A trader has three different types of oils of volume \(870 \text{ l}\), \(812 \text{ l}\) and \(638 \text{ l}\). Find the least number of containers of equal size required to store all the oil without getting mixed.
  

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