CBSE Class 10 Science (Urdu) Compartment Question Paper 2023 with Answer Key (Set 1- 47/C/1)

CBSE X Questions

• 1.

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

  • 0
    
  • 5
    
  • 3
    
  • 2
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• 2.

  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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• 3.

  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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• 4.

  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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• 5.

  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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• 6.

  In triangles ABC and PQR, \( \angle A = \angle Q \) and \( \angle B = \angle R \), then \( AB : AC \) is equal to :
  

  • \( PQ : PR \)
    
  • \( PQ : QR \)
    
  • \( QR : QP \)
    
  • \( PR : QR \)
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