Special OJEE 2026 B. Tech Question Paper July 13 Shift 4: Download Answer Key with Solutions

OJEE Questions

• 1.

  The mean of number 2, 4, 6, 8 is ____.
  

  • 4
    
  • 5
    
  • 6
    
  • 8
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• 2.

  Range of data 5, 10, 15, 20 is ____.
  

  • 10
    
  • 15
    
  • 20
    
  • 5
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• 3.

  Consider an infinite series with first term a and common ratio r. If its sum is 4 and the second term is \(\frac{3}{4}\), then
  

  • \(a = \frac{7}{4}, r = \frac{3}{7}\)
    
  • \(a = 2, r = \frac{3}{8}\)
    
  • \(a = \frac{3}{2}, r = \frac{1}{2}\)
    
  • \(a = 3, r = \frac{1}{4}\)
  View Solution

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• 4.

  The maximum height of a projectile on a horizontal plane is: ____.
  

  • u² sin² $\alpha$ 2g
    
  • u² cos² $\alpha$ 2g
    
  • u² sin² $\alpha$ g
    
  • u² cos² $\alpha$ g
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• 5.

  The unit of angular velocity is: ____.
  

  • m min
    
  • rad s
    
  • revolutions min
    
  • all of these
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• 6.

  For a scalar function \(\vec{F}(x, y, z) = x^2 + 3y^2 + 2z^2\), the directional derivative at the point P( 1, 2, -1) is the direction of a vector \((\hat{i} + \hat{j} + 2\hat{k})\) is
  

  • -18
    
  • \(-3\sqrt{6}\)
    
  • \(3\sqrt{6}\)
    
  • 18
  View Solution