JEE Main Question Paper 2016 (Available): Check Previous Year Question Paper with Solution PDF (2024-2014)

JEE Main 2016 Questions

• 1.

  A group 15 element forms \( d\pi - d\pi \) bond with transition metals. It also forms a hydride, which is the strongest base among the hydrides of other group members that form \( d\pi - d\pi \) bonds. The atomic number of the element is ________________________.

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• 2.

  Let \( M \) denote the set of all real matrices of order 3 x 3 and let \( S = \{-3, -2, -1, 1, 2\} \). Let
  \( S_1 = \{A = [a_{ij}] \in M : A = A^T \text{ and } a_{ij} \in S, \forall i, j\} \),
  \( S_2 = \{A = [a_{ij}] \in M : A = -A^T \text{ and } a_{ij} \in S, \forall i, j\} \), 
  \( S_3 = \{A = [a_{ij}] \in M : a_{11} + a_{22} + a_{33} = 0 \text{ and } a_{ij} \in S, \forall i, j\} \).
  If \(n(S_1 \cup S_2 \cup S_3) = 125\), then \( \alpha \) equals:

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• 3.

  Let the lines \[ 3x - 4y - \alpha = 0, \quad 8x - 11y - 33 = 0, \quad 2x - 3y + \lambda = 0 \] be concurrent. If the image of the point \( (1, 2) \) in the line \[ 2x - 3y + \lambda = 0 \text{ is } \left( \frac{57}{13}, \frac{-40}{13} \right), \text{ then } |\alpha \lambda| \text{ is equal to:} \]

  • 84
    
  • 91
    
  • 113
    
  • 101
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• 4.

  

  In the first configuration (1) as shown in the figure, four identical charges \( q_0 \) are kept at the corners A, B, C and D of square of side length \( a \). In the second configuration (2), the same charges are shifted to mid points C, E, H, and F of the square. If \( K = \frac{1}{4\pi \epsilon_0} \), the difference between the potential energies of configuration (2) and (1) is given by:

  • \( \frac{Kq_0^2}{a} (4\sqrt{2} - 2) \)
    
  • \( \frac{Kq_0^2}{a} (4 - \sqrt{2}) \)
    
  • \( \frac{Kq_0^2}{a} (3\sqrt{2} - 2) \)
    
  • \( \frac{Kq_0^2}{a} (3 - \sqrt{2}) \)
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• 5.

  Given below are two statements: 
  Statement I: 
   will undergo alkaline hydrolysis at a faster rate than
  
  Statement II:
  In  intramolecular substitution takes place first by involving lone pair of electrons on nitrogen. 
   

  • Both Statement I and Statement II are incorrect
    
  • Both Statement I and Statement II are correct
    
  • Statement I is correct but Statement II is incorrect
    
  • Statement I is incorrect but Statement II is correct
    
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