AP PGECET Question Paper 2025 (Available): Download Nano Technology Question Paper with Solution PDF

Educational Content Expert | Updated on - Jul 8, 2025

AP PGECET Question Paper 2025 for Nano Technology is available for download here with answer key and solution PDF. AP PGECET 2025 was conducted from June 6 to June 8 in two shifts.
AP PGECET Question Paper 2025 consists of 120 MCQ-based questions in total carrying 1 mark each to be attempted in the duration of 2 hours.

AP PGECET Nano Technology Question Paper with Solution PDF

AP PGECET Question Paper 2025 with Solution PDF
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Question 1:

The shape of the first Brillouin zone of an FCC lattice is?

(1) Tetrahedral
(2) Triagonal
(3) Truncated hexagon
(4) Truncated octahedron

Categories	State
General	1200
sc	700

AP PGECET Nano Technology Question Paper with Solution PDF

AP PGECET Questions

1. For a first order reaction, the starting material reduces to \( \dfrac{1}{4} \) of its initial value after 20 min. The rate constant of the reaction will be: (Given \( \ln 4 = 1.38 \))

2.Let \( f(x) = x^3 - \dfrac{9}{2}x^2 + 6x - 2 \) be a function defined on the closed interval \([0, 3]\). Then, the global maximum value of \( f(x) \) is ...............

3.Determine the value of $\lambda$ and $\mu$ for which the system of equations $x + 2y + z = 6$, $x + 4y + 3z = 10$, $2x + 4y + \lambda z = \mu$ has a unique solution.

4. 1 mole of Argon gas is heated at constant pressure from 200 K to 600 K. If \( C_p = 4\ \text{cal} \cdot \text{deg}^{-1} \cdot \text{mol}^{-1} \), then the change in entropy will be: (Given \( \ln 3 = 1.09 \))

5. Let \( z \) be a complex variable and \( C : |z| = 3 \) be a circle in the complex plane. Then, \[ \oint_C \frac{z^2}{(z - 1)^2(z + 2)} \, dz = \]

6. If the matrix \[ A = \begin{pmatrix} 3 & -1 & 1 \\ -1 & 5 & -1 \\ 1 & -1 & 3 \end{pmatrix} \] has three distinct eigenvalues, and one of its eigenvectors is \[ \begin{pmatrix} 1 \\ 0 \\ -1 \end{pmatrix}, \] then which of the following can be another eigenvector of \( A \)?

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1.
For a first order reaction, the starting material reduces to \( \dfrac{1}{4} \) of its initial value after 20 min.
The rate constant of the reaction will be: (Given \( \ln 4 = 1.38 \))

2.
Let \( f(x) = x^3 - \dfrac{9}{2}x^2 + 6x - 2 \) be a function defined on the closed interval \([0, 3]\). Then, the global maximum value of \( f(x) \) is ...............

3.
Determine the value of $\lambda$ and $\mu$ for which the system of equations
$x + 2y + z = 6$,
$x + 4y + 3z = 10$,
$2x + 4y + \lambda z = \mu$
has a unique solution.

4.
1 mole of Argon gas is heated at constant pressure from 200 K to 600 K.
If \( C_p = 4\ \text{cal} \cdot \text{deg}^{-1} \cdot \text{mol}^{-1} \), then the change in entropy will be:
(Given \( \ln 3 = 1.09 \))

5.
Let \( z \) be a complex variable and \( C : |z| = 3 \) be a circle in the complex plane. Then,

\[ \oint_C \frac{z^2}{(z - 1)^2(z + 2)} \, dz = \]

6.
If the matrix \[ A = \begin{pmatrix} 3 & -1 & 1 \\ -1 & 5 & -1 \\ 1 & -1 & 3 \end{pmatrix} \] has three distinct eigenvalues, and one of its eigenvectors is \[ \begin{pmatrix} 1 \\ 0 \\ -1 \end{pmatrix}, \] then which of the following can be another eigenvector of \( A \)?