Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer.

I. x² − 11x + 24 = 0

II. y² + 6y − 135 = 0

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Question

This question was previously asked in

IBPS PO Prelims Memory Based Paper (Held On: 19 October 2024 Shift 2)

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Answer 1

Equation I: x² − 11x + 24 = 0

Factor: Find two numbers that multiply to 24 and add up to −11

⇒ (x − 3)(x − 8) = 0

⇒ x = 3, 8

Equation II: y² + 6y − 135 = 0

Factor: Find two numbers that multiply to −135 and add up to 6

⇒ (y + 15)(y − 9) = 0

⇒ y = −15, 9

Now compare:

x = 3, 8

y = −15, 9

Compare each x with both y values:

3 < 9 and 3 > −15

8 < 9 and 8 > −15

So: x is less than y in one case and greater in another → No definite relation

Thus, the correct answer is x = y or Relationship cannot be established.