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

1

In each question two equations numbered (I) and (II) are given. You should solve both the equations and mark appropriate answer. I.17x^2 – 14x – 83 = - 80 II. y^2 = 2y + 35

Solution & Explanation I. 17x2 – 14x – 3 = 0 17x2 – 17x + 3x – 3 = 0 17x (x – 1) + 3(x – 1) = 0 (17x + 3) (x – 1) = 0 x = − 3/17 , 1 II. y2 – 2y – 35 = 0 y2 – 7y + 5y – 35 = 0 y(y −7) + 5(𝑦 − 7) = 0 y = 7, - 5 So, no relation can be established

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2

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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3

I. x² - 7x - 18 = 0 II. y² - 19y + 90 = 0

Solution & Explanation For equation I, x² - 7x - 18 = 0 factors into (x - 9)(x + 2) = 0, giving x = 9 or x = -2. For equation II, y² - 19y + 90 = 0 factors into (y - 9)(y - 10) = 0, giving y = 9 or y = 10. Comparing the values, x is less than or equal to y (x ≤ y).

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4

In the given question, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer.
I. 2x² − 9x + 4 = 0
II. 3y² − 4y + 1 = 0

Solution & Explanation I: x = (9±7)/4 → x = 4 or 1/2. II: y = (4±2)/6 → y = 1 or 1/3. Pairs: (4,1)→x>y; (4,1/3)→x>y; (1/2,1)→xy. Mixed → cannot establish. Answer: E.

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31. I. 77x² + 58x + 8 = 0 II. 42y² + 59y + 20 = 0

Solution & Explanation I. 77x^2 + 58x + 8 = 0 => discriminant = 58^2 - 4(77)(8) = 900, sqrt=30 => x = (-58+30)/154 = -2/11 or x = (-58-30)/154 = -4/7. II. 42y^2 + 59y + 20 = 0 => discriminant = 59^2 - 4(42)(20) = 121, sqrt=11 => y = (-59+11)/84 = -4/7 or y = (-59-11)/84 = -5/6. Comparing all pairs: x is always greater than or equal to y (equal when x = y = -4/7), so x >= y.

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Quadratic Equations Quiz for IBPS AFO 2026

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