CBSE Class 10 Marathi Question Paper 2023 with Answer Key (February 24, Set 4- 8)

CBSE X Questions

• 1.

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

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• 2.

  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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• 3.

  In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.
  

  

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• 4.

  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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• 5.

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

  • 0
    
  • 5
    
  • 3
    
  • 2
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• 6.

  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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