📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      A number is 2/5 more than 33 times its reciprocal. What is

      the number?
      A 5 Correct Answer Incorrect Answer
      B 10 Correct Answer Incorrect Answer
      C 12 Correct Answer Incorrect Answer
      D 18 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the number be x.

      x – 33/x = 2/5

      ⇒ (x² – 33)/x = 2/5

      Cross-multiplying:

      5x² – 165 = 2x

      ⇒ 5x² – 2x – 165 = 0

      Factorizing:

      5x² – 25x + 23x – 165 = 0

      5x(x – 5) + 33(x – 5) = 0

      (5x + 33)(x – 5) = 0

      So, x = –33/5 or x = 5

      Practice Next
      More No. System Questions
      ask-question