Multiple choice

In the following questions one or two equations (I) and (II) are given. On the basis of these you have to find out the relation between x & y.( (I) ) (x^2 + 28 = 11x)( (II) ) (y^2 + 56 = 15y)

  1. If x = y

  2. If x > y

  3. If y > x

  4. If x ≥ y

  5. If y ≥ x
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Solving (I): x² - 11x + 28 = 0 gives (x-4)(x-7) = 0, so x = 4 or 7. Solving (II): y² - 15y + 56 = 0 gives (y-7)(y-8) = 0, so y = 7 or 8. Comparing: when x=4, y can be 7 or 8, so y > x. When x=7, y can be 7 or 8. If y=7, x=y. If y=8, y > x. So y ≥ x in all cases.

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