Multiple choice

Two equations (I) and (II) are given in each question. On the basis of these equations you have to decide the relation between ‘x’ and ‘y’ and give answer.(I. 8x^2 - 15x + 7 = 0 ) (II. 2y^2 - 7y + 6 = 0)

  1. $x > y$
  2. $x \ge y$
  3. $x < y$
  4. $x \le y$

  5. x = y or relation can’t be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Solve equation (I): 8x^2 - 15x + 7 = 0 factors to (8x-7)(x-1) = 0, giving x = 7/8 or x = 1. Solve equation (II): 2y^2 - 7y + 6 = 0 factors to (2y-3)(y-2) = 0, giving y = 1.5 or y = 2. For all possible values of x (0.875, 1) and y (1.5, 2), x is always less than y. Therefore x < y is the correct relation.

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