Quadratic Equations Quiz | Quantitative Aptitude MCQ Practice for IBPS AFO 2026

1

I. x = √ 2304 II. y² = 2304

Solution & Explanation For Quantity I, x = √2304 = 48 (considering only the positive root as per the instruction). For Quantity II, y² = 2304, so y = ±48. Comparing the values, x is greater than or equal to y (x ≥ y).

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2

$I.\;7x+\frac{13}{x}=20 \qquad II.\;3y^{2}-2y-21=0$

Solution & Explanation Equation I: $7x+\frac{13}{x}=20 \Rightarrow 7x^{2}-20x+13=0=(7x-13)(x-1)$. Therefore, $x=\frac{13}{7},1$. Equation II: $3y^{2}-2y-21=0=(3y+7)(y-3)$. Therefore, $y=-\frac{7}{3},3$. Different comparisons are possible, hence the relationship cannot be established.

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3

In each question two equations numbered (I) and (II) are given. You should solve both the equations and mark appropriate answer. I. 𝑥 = √25 II. y3 = 125

Solution & Explanation I. x = 5 II. y = 5 So, x=y

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4

In each question two equations numbered (I) and (II) are given. You should solve both the equations and mark appropriate answer. I. x² - 8x + 15 = 0 II. 2y² - 7y + 5 = 0

Solution & Explanation I. x² - 8x + 15 = 0 x² - 3x – 5x + 15 = 0 (x – 3) (x – 5) = 0 x = 3, 5 II. 2y² - 7y + 5 = 0 2y² - 2y – 5y + 5 = 0 (y - 1) (2y - 5) = 0 y = 1, 5/2 x > y

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5

I. 2x² + 5x + 3 = 0 II. y² + 4y - 12 = 0

Solution & Explanation Solve quadratic equations and compare roots.

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Quadratic Equations Quiz for IBPS AFO 2026

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