Direction: In the following question two equations numbered I and II are given. You have to solve both the equations and give answers:

I : x 2  + 11 x + 30 = 0

II : y 2  + 7y + 12 = 0

A x > y

B x ≥ y

C x < y

D x ≤ y

E x = y or relation cannot be determined

Solution

Correct Answer: Option C

Given equation I:

⇒ x 2  + 11x + 30 = 0

⇒ (x+6) (x+5) = 0

⇒ x = -5, -6

Given equation II:

⇒ y 2  + 7y + 12 = 0

⇒ (y+3) (y+4) = 0

⇒ y = -3, -4

Comparing the values of x and y we get,

⇒ x < y

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