WBCS.LIVE practice question

A number X lies between 0 and 1. Which of the following is true?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. X > āˆšX
  2. X > 1/X
  3. XĀ³ > XĀ²
  4. 1/X > āˆšX

Correct answer and explanation

Correct answer: 1/X > āˆšX

Explanation: āœ… Correct Answer: D. 1/X > āˆšX šŸ“š Explanation: For any number X between 0 and 1 (like 0.25), its reciprocal (1 divided by 0.25 = 4) is much larger than its square root (square root of 0.25 = 0.5). Also, X is smaller than its own square root. Therefore, the statement '1/X is greater than the square root of X' is always true in this specific range. This tests the understanding of how fractions and roots behave between zero and one.