Multiple choice general knowledge math & puzzles

If 0 < y < 1, then the value of y + 1/y is

  1. greater than 4

  2. greater than 2

  3. less than 2

  4. less than 4

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For any positive real number y, y + 1/y >= 2 (AM-GM inequality). Since 0 < y < 1, y is a fraction and 1/y is greater than 1. Their sum will always be greater than 2. It is not necessarily greater than 4 (e.g., y=0.5, sum=2.5).