Quadratic Equations are one of the highest-scoring topics in the SBI Clerk Exams, often contributing around five questions in the Quantitative Aptitude section. With consistent practice and the right solving techniques, candidates can quickly identify patterns and solve most questions within seconds, making this topic a valuable opportunity to improve their overall exam score. 

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Download Quadratic Equation Questions for SBI Clerk Sets

The sets below are available for free download and are designed to support this exam preparation. Each set contains many practice questions, helping you strengthen your concepts, improve solving speed, and enhance accuracy. Complete one set regularly and attempt the corresponding Guidely quiz to evaluate your performance and track your progress in an exam-like environment.

Free Download Quadratic Equation Questions For SBI Clerk PDF

Key Strategies and Techniques 

1. The Sign Trick

Many Quadratic Equation questions can be solved without lengthy calculations by simply analyzing the signs of the equations. 

A standard quadratic equation is written as ax² + bx + c = 0. By analyzing the signs of b and c, you can apply these two shortcut techniques: 

• The Constant Sign Rule: If the constant term (c) is negative in both equations, the answer is always "Relationship Cannot Be Established" (CND).

• Why? Both equations will yield one positive and one negative root, making a clear comparison impossible. 

• Opposite Sign Dominance: If Equation 1 is (-, +) → its roots are (+, +). If Equation 2 is (+, +) → its roots are (-, -). Without calculating a single number, x > y. 

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2. The Direct Factorization Method (The "Splitting" Method)

When the sign trick doesn't give an immediate answer, use the splitting method instead of the traditional formula: 

1. Multiply the coefficient of x² (a) by the constant (c). Let's call this product AC.

2. Find two factors of AC that add up or subtract to give the middle coefficient (b).

3. Change the signs of these two factors (using the table above).

4. Divide both factors by the coefficient of x² (a) to get your final roots. 

• Example: 2x² - 7x + 6 = 0

• AC = 2 × 6 = 12.

• Factors of 12 that add up to 7 are 4 and 3 (since -4 + -3 = -7).

• Change signs → +4 and +3.

• Divide by a (2) → Roots are x = +2 and x = +1.5.

3. Avoid Division: The Cross-Multiplication Hack

Dividing roots by the coefficient a can lead to messy fractions. To save time when comparing x and y: 

• Find the factors for x and the factors for y (after changing their signs).

• Multiply the roots of x by the y² coefficient, and multiply the roots of y by the x² coefficient.

• Compare these whole numbers instead of fractions!

4. Decode the Root / Square Traps

The exam often throws linear or single-variable equations to trick your sign logic:

• Even Power Trap: If x² = 16, then x = +4, -4 (Two roots).

• Square Root Trap: If x = √16, then x = +4 (Only one positive root).

• Cubic Power Trap: If x³ = 64, then x = +4 (Only one root). 

5. Systematic Comparison Rule

To avoid silly mistakes when comparing roots (e.g., x₁, x₂ vs y₁, y₂):

• Compare x₁ with both y₁ and y₂.

• Compare x₂ with both y₁ and y₂.

• If you get both a > and a < sign during this process, stop immediately. The answer is Relationship Cannot Be Established (CND).

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Quadratic Equation Questions For SBI Clerk: Patterns to Watch Out For

1. Double Negative Constant Pattern

Example: I. 4x² − 13x − 12 = 0 II. 2y² + 7y − 15 = 0

Strategy: If both constant terms are negative, each equation has one positive and one negative root.

Answer: Relationship Cannot Be Established (CND)

2. Linear vs Square Root Trap

Example: I. x² = 256 II. y = √256

Strategy: x² = 256 gives two roots (+16, -16), while √256 gives only +16.

Comparison: x = 16 → x = y x = -16 → x < y

3. Common Factor Pattern

Large numbers often factor into consecutive integers.

Example:I. x² − 23x + 132 = 0 II. y² − 25y + 156 = 0

Strategy: 132 = 11 × 12  156 = 12 × 13

Quick Solve: x = 11, 12  y = 12, 13

Comparison: x ≤ y

FAQs

Q. How many Quadratic Equation questions are asked in the SBI Clerk exam?

The SBI Clerk Prelims exam usually includes around 5 Quadratic Equation questions in the Quantitative Aptitude section. 

Q. Is Quadratic Equation an important topic for SBI Clerk preparation?

Yes. Quadratic Equations are one of the most important scoring topics in the SBI Clerk exam. 

Q. Is this practice material suitable for beginners?

Yes. These practice sets are designed for both beginners and experienced aspirants. The questions are arranged progressively to help you build concepts, improve speed, and gain confidence.