JEE Main Question Paper 2017 (Available): Check Previous Year Question Paper with Solution PDF (2024-2014)

JEE Main 2017 Questions

• 1.

  The term independent of $ x $ in the expansion of $$ \left( \frac{x + 1}{x^{3/2} + 1 - \sqrt{x}} \cdot \frac{x + 1}{x - \sqrt{x}} \right)^{10} $$ for $ x>1 $ is:

  • 210
  • 150
  • 240
  • 120
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• 2.

  If the mean and the variance of 6, 4, 8, 8, b, 12, 10, 13 are 9 and 9.25 respectively, then $ a + b + ab $ is equal to:

  • 105
  • 103
  • 100
  • 106
    
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• 3.

  Consider the following elements In, Tl, Al, Pb, and Ge. The most stable oxidation states of elements with highest and lowest first ionisation enthalpies, respectively, are:
  

  • +2 and +3
    
  • +1 and +4
    
  • +4 and +3
    
  • +4 and +1
    
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• 4.

  In a group of 3 girls and 4 boys, there are two boys \( B_1 \) and \( B_2 \). The number of ways in which these girls and boys can stand in a queue such that all the girls stand together, all the boys stand together, but \( B_1 \) and \( B_2 \) are not adjacent to each other, is:

  • 144
    
  • 120
    
  • 72
    
  • 96
    
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• 5.

  If \( \alpha + i\beta \) and \( \gamma + i\delta \) are the roots of the equation \( x^2 - (3-2i)x - (2i-2) = 0 \), \( i = \sqrt{-1} \), then \( \alpha\gamma + \beta\delta \) is equal to:

  • 6
    
  • 2
    
  • -2
    
  • -6
    
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