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x is a natural number between 1 and 20, both inclusive, such that
If x is even, then it is also a multiple of 3.
  • If x is not a multiple of 3, then it is greater than the length of the diagonal of a square with an area of 81.
  • If x is not greater than the length of the diagonal of a square with an area of 81, then it is square.
  • If x is not a perfect square, then it is one greater than a multiple of 5.
    What is the value of x?
    • a)
      6
    • b)
      12
    • c)
      9
    • d)
      15
    Correct answer is option 'C'. Can you explain this answer?
    Most Upvoted Answer
    x is a natural number between 1 and 20, both inclusive, such that ...
    From the first condition, if x is even, then x = 6, 12 or 18, otherwise it is 1, 3, 5, 7, 9, 11, 13, …, 19.
    From the second and third conditions, if x is greater than 9√2, then x = 13, 14, 16, 17, 19 or 20, otherwise it is 9, 15, 18.
    From the fourth condition, if x is not a perfect square, then x = 6 or 11 otherwise it is 1, 4, 9 & 16.
    The only value that satisfies all the above conditions is x = 9.
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    x is a natural number between 1 and 20, both inclusive, such that If x is even, then it is also a multiple of 3. If x is not a multiple of 3, then it is greater than the length of the diagonal of a square with an area of 81. If x is not greater than the length of the diagonal of a square with an area of 81, then it is square. If x is not a perfect square, then it is one greater than a multiple of 5. What is the value of x?a)6b)12c)9d)15Correct answer is option 'C'. Can you explain this answer?
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