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GAT General Quantitative Reasoning QUESTION #92
Question 1
In general, the sum of the squares of two numbers is greater than twice the product of the numbers. The pair of numbers for which this generalization is not valid is
  • 8, 9
  • 9, 9(Correct)
  • 9, 10
  • 8, 10
Correct Answer Explanation
x^2 + y^2 > 2xy is true for all distinct numbers. If x = y, then x^2 + y^2 = 2xy. For (9, 9), 81 + 81 = 162, which equals 2 * 9 * 9.