CBSE Class 10 Social Science Compartment Question Paper 2024 with Answer Key (Set 3- 32/S/3)

CBSE X Questions

• 1.

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

  

  • 0
    
  • 1
    
  • 3
    
  • 2
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• 2.

  Which structure in a leaf is mainly responsible for gaseous exchange?

  • Xylem
    
  • Stomata
    
  • Phloem
    
  • Cuticle
    
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• 3.

  Prove that: \(\frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\csc^3 \theta}{\csc^2 \theta - 1} = \sec \theta \cdot \csc \theta (\sec \theta + \csc \theta)\)
  

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• 4.

  The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
  

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• 5.

  A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))
  

  

  • \(314 \sqrt{2}\) \(\text{cm}^{2}\)
    
  • \(314\) \(\text{cm}^{2}\)
    
  • \(\frac{3140}{3}\) \(\text{cm}^{2}\)
    
  • \(3140 \sqrt{2}\) \(\text{cm}^{2}\)
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• 6.

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

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