Direction In the given question two equations numbered l and II are given You have to solve both the...........

Quantitative Aptitude(IBPS CL) Quadratic Equations

Direction: In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I. x² – 5x + 6 = 0

II. y² – 9y + 20 = 0

This questions was previously asked in

IBPS Clerk Main (8th Oct 2022)

x > y

x < y

x ≥ y

x ≤ y

x = y or relationship between x and y cannot be established

Let’s solve both equations step by step:

- Equation I: x² – 5x + 6 = 0

Factoring, (x – 2)(x – 3) = 0 ? x = 2, 3

- Equation II: y² – 9y + 20 = 0

Factoring, (y – 4)(y – 5) = 0 ? y = 4, 5

Now, compare all combinations of x and y:

2 < 4, 2 < 5, 3 < 4, 3 < 5

So, for all cases, x < y.

- Option 1: x > y (Incorrect, as all x are less than all y)

- Option 2: x < y ( Correct)

- Option 3: x = y (Incorrect)

- Option 4: x = y (Technically true, but x < y is more precise)

- Option 5: x = y or can’t be established (Incorrect)

Correct Answer: Option 2, x < y

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