JEE Main Question Paper 2018 (Available): Check Previous Year Question Paper with Solution PDF (2024-2014)

JEE Main 2018 Questions

• 1.

  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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• 2.

  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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• 3.

  A galvanometer having a coil of resistance 30 \( \Omega \) needs 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be \( X \, \Omega \), where \( X \) is:

  • 447
  • 298
  • 149
  • 596
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• 4.

  The variance of the numbers 8, 21, 34, 47, \dots, 320, is:

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• 5.

  Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). 
  Assertion (A) : If Young’s double slit experiment is performed in an optically denser medium than air, then the consecutive fringes come closer. 
  Reason (R) : The speed of light reduces in an optically denser medium than air while its frequency does not change. 
  In the light of the above statements, choose the most appropriate answer from the options given below :

  • Both (A) and (R) are true and (R) is the correct explanation of (A)
    
  • (A) is false but (R) is true.
    
  • Both (A) and (R) are true but (R) is not the correct explanation of (A)
    
  • (A) is true but (R) is false.
    
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