20june2019 paper1 Q18

0. The sum of all even natural numbers between 1 and 81 is:

 

  • Option : D
  • Explanation : Even number between 1 to 81 are 2, 4, 6, 8, ...... 78,80.
    Number of even number between 1 to 81
    81-1/2 = 80/2 = 40
    Sum of all even numbers = n/2[a+b] where,
    n = number of numbers = 40
    a = first number = 2
    b = last number = 80
    Sum = 40/2[2+80]
    = 20 x 82 = 1640
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