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

I. x² − 22x + 105 = 0

II. y² − 20y + 96 = 0

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Question

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

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Answer 1

Equation I: x² − 22x + 105 = 0

Find two numbers whose product = 105 and sum = 22:

⇒ Factors: (x − 15)(x − 7) = 0

⇒ x = 15, 7

Equation II: y² − 20y + 96 = 0

Find two numbers whose product = 96 and sum = 20:

⇒ Factors: (y − 12)(y − 8) = 0

⇒ y = 12, 8

Compare roots:

x₁ = 15 vs y₁ = 12 ⇒ x > y

x₂ = 7 vs y₂ = 8 ⇒ x < y

Since one x > y and one x < y ⇒ Relationship cannot be established

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