Algebra & Quadratic Equations are a major part of the JENPAS UG Mathematics syllabus 2025 that demand thorough understanding of fundamental topics and application skills. Usually, multiple-choice questions are asked from these chapters to test the aspirant’s conceptual clarity and problem-solving skills. Questions in the
JENPAS UG 2025 exam
will typically be asked about simplifying algebraic expressions and polynomials, solving linear and quadratic equations, factorization of roots, problems on ratio, proportion involving algebraic forms, and so on. We have prepared a list of Algebra and Quadratic questions with solutions that are highly likely to be asked in the upcoming examinatio. We suggest you go through the JENPAS UG 2025 Algebra & Quadratic questions and answers for Math practice here. We have also provided a downloadable PDF version so you can find all the solutions in one place!
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JENPAS UG 2025 Algebra & Quadratic Questions and Answers for Math Practice
Go though some of the JENPAS UG 2025 algebra & quadratic questions along with their answers below:
Question No. | Question | Options | Correct Answer | Step-by-Step Explanation |
|---|---|---|---|---|
1 | Solve the quadratic equation x2 - 7x + 10 = 0. | a) 2, 5 b) 1, 10 c) -2, -5 d) 3, 4 | a | Step 1: Factorise the equation: Look for two numbers that multiply to 10 and add to -7: -2 and -5. Step 2: Rewrite as (x - 2)(x - 5) = 0. Step 3: Set each factor to zero: x = 2 or x = 5. Verify sum: 2 + 5 = 7 = coefficient of x with changed sign; product: 10. Thus, a is correct. |
2 | The quadratic equation with roots -1 and -2 is: | a) x² + 3x + 2 = 0 b) x² - 3x + 2 = 0 c) x² + 3x - 2 = 0 d) x² - 3x - 2 = 0 | a | Step 1: Sum of roots = -1 + (-2) = -3 = -b/a (a=1, b=3). Step 2: Product of roots = (-1) × (-2) = 2 = c/a (c=2). Step 3: Equation: x² - (sum)x + product = x² - (-3)x + 2 = x² + 3x + 2 = 0. Hence, a is correct. |
3 | Determine the nature of roots for x² + 2x + 3 = 0. | a) Real and distinct b) Real and equal c) Complex d) Rational | c | Step 1: Calculate discriminant D = b² - 4ac = 4 - 4(1)(3) = 4 - 12 = -8. Step 2: Since D < 0, the roots are complex (not real). Step 3: Complex roots occur in conjugate pairs. Options a and b are for real roots (D > 0 or D = 0); d is not applicable here. Thus, c is correct. |
JENPAS UG 2025 Algebra & Quadratic Questions and Answers PDF Link
Download the complete list of JENPAS UG 2025 Algebra & quadratic questions and answers for Math practice from the below PDF link:
JENPAS UG 2025 Algebra & Quadratic Questions and Answers for Math Practice PDF |
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JENPAS UG 2025 Algebra & Quadratic Questions: Expected Weightage
The expected weightage of the Algebra and Quadratic questions in the JENPAS UG exam has been provided below. This is just an analysis based on the past few years' question pattern to give you a brief idea of what to expect from both the sections.
Topic | Number of Questions | Approx. Marks | Percentage of Math Section |
|---|---|---|---|
Algebra | 2 to 3 | 2 to 4 | 13% to 27% |
Quadratic Equations | 1 to 2 | 1 to 2 | 7% to 13% |
Total (Algebra + Quadratic) | 3 to 5 | 3 to 6 | 20% to 33% |
Quick Tips for Solving JENPAS UG 2025 Algebra & Quadratic Questions
Solving questions on quadratic equations and algebraic expessions can be tricky at times. Here are some pro tips that you can follow to score good marks in the WB JENPAS Algebra & Quadratic section:
While practicing quadratic equations by factoring, use the middle-term split method to get solutions faster.
Pay attention to the nature of roots (equal, imaginary, or real) based on the discriminant.
For quadratic equations that do not factor easily, memorize formula and apply confidently.
For complex quadratic equations, apply the method of completing the square.
Interpret word problems carefully and translate them into algebraic equations before solving.
Solve as many sample questions as you can under time condition to improve speed and accuracy.
By following these tips and practicing with JENPAS UG 2025 Algebra & Quadratic questions and answers, you can easily score good marks in the examination. Start solving these questions to get familiar with the paper pattern and also boost your confidence. Good luck!
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