GUJCET Question Paper 2021 (Available): Check Previous Year Question Paper with Solution PDF (2024-2006)

GUJCET 2021 Question Paper is Available. Candidates can download the question paper with answer key PDF here. The total number of questions asked was 120, with 40 questions each from Physics, Chemistry, and Mathematics/Biology. Each correct answer carries one mark, and there was no negative marking for incorrect answers.

GUJCET 2021 Question Paper with Answer Key PDF

Paper/Subject Date Question Paper PDF
Physics & Chemistry August 6, 2021 Check Here
Physics & Chemistry (Gujarati) August 6, 2021 Check Here
Mathematics August 6, 2021 Check Here
Biology August 6, 2021 Check Here

GUJCET Exam Pattern

Subject Number of Questions Number of Marks
Physics 40 40
Chemistry 40 40
Mathematics / Biology 40 40
Total 120 Questions 120 Marks

*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

GUJCET 2021 Questions

  • 1.
    Global maximum value of the function \( f(x) = \sin x + \cos x, \quad x \in [0, \pi] \) is: ...


      • 2.

        If the value of \( \cos \alpha \) is \( \frac{\sqrt{3}}{2} \), then \( A + A = I \), where \[ A = \begin{bmatrix} \sin\alpha & -\cos\alpha \\ \cos\alpha & \sin\alpha \end{bmatrix}. \]


          • 3.
            If \( A = \begin{pmatrix} 0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0 \end{pmatrix} \), find \( I + A^2 \), where \( I \) is the identity matrix.


              • 4.
                If \[ \left| \begin{pmatrix} 2017 & 2018 \\ 2019 & 2020 \end{pmatrix} \right| + \left| \begin{pmatrix} 2021 & 2022 \\ 2023 & 2024 \end{pmatrix} \right| = 2k \] find \( k^3 \).


                  • 5.
                    Evaluate the integral \( \int \frac{1}{\sqrt{4x - x^2}} \, dx \).

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