26june2019 paper1 Q22

0. Which of the following fractions is the result of the sum of an integer and its reciprocal?

  • Option : B
  • Explanation : Let the number is n, then its reciprocal is 1/n.
    Now, the sum of the numbers = n + 1/n
    = (n2 + 1)/n
    Now, from the options (a), when denominator
    n = 8
    then, numerator should be
    (n)2 + 1 = (8)2 + 1 = 65
    Option (b) when denominator n = 5
    then, numerator should be n2 + 1 = 52 + 1 = 26.
    Hence, fraction is 26/5.
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