List of top Questions asked in AP PGECET- 2026

A manufacturer wishes to cultivate aromatic plants for isolating volatile oils. Which factor that most significantly influences the biosynthesis of volatile oils should be controlled?

Which of the following adulterants are added in powdered capsicum for increasing bulk?

Papaverine is a _ _ _ _ alkaloid.

The most useful evaluation parameter for detecting adulteration in powdered leaf drugs is _ _ _ _ .

Stas--Otto method is used for extraction of _ _ _ _ .

All are specific identification tests for glycosides except _ _ _ _ test.

Lycopodium spore method of analysis is used for determining _ _ _ _ of herbal drugs.

Pyrethrum is a natural insecticide derived from _ _ _ _ .

Which of the following pathways is used in the biosynthesis of carotenoids?

If a random variable \(X\) has a Poisson distribution with parameter \(\frac{1}{2}\), then \(P(X=2) = _ _ _\)

The irrational number \(\sqrt{2}\) can be approximated by applying Newton's method to the nonlinear equation \(f(x) = x^2 - 2 = 0\). What is the Newton iteration formula?

The minimum value of the function \(f(x) = x + \frac{9}{x}\), for \(x \gt 0\), is _______

Let \(\vec{v} = 4\hat{i} + 3\hat{k}\) be a vector, where \(\hat{i}\), \(\hat{j}\) and \(\hat{k}\) represent unit vectors along the axes \(x\), \(y\) and \(z\) respectively. Then, the directional derivative of the scalar function \(f(x,y,z) = 2 \ln(xy) + \ln(yz) + 3\ln(zx)\) at the point \((1,1,1)\) in the direction of \(\vec{v}\) is _______

Let \(p\) and \(q\) be fixed real numbers. If the function \(y(x) = C_1 e^{3x} + C_2 e^{-4x}\) is a solution of the differential equation \(\frac{d^2 y}{dx^2} + p\frac{dy}{dx} + qy = 0\); for any constants \(C_1\) and \(C_2\), then \(p - q\) is equal to _______

Let \(C\) be a counter-clockwise circle defined as \(|z| = 2\). Then, the value of the complex integral \(\frac{1}{2\pi i} \oint_C \frac{z^2-1}{z^2+1}e^{-z} \, dz\) is _______

The growth of a bacterial population \(y(t)\) is given by the differential equation \(\frac{dy}{dt} = k(y+3)\): where \(k\) is the growth rate constant. If \(y(0) = 1\) and \(y(1) = 5\), then the value of \(k\) is _______

Glass is corroded by

Hemoglobin is a

Phenols are added in gasoline to

Let \(A = \begin{pmatrix} -1 & 3 & 5 \\ -3 & k & 6 \\ 0 & 0 & 3 \end{pmatrix}\). If the eigenvalues of \(A\) are \(3, -1 + 3i, -1 - 3i\), where \(i = \sqrt{-1}\), then the value of \(k\) is _______

For What value of \(k\), the system of equations \(\begin{pmatrix} 1 & 2 & 4 \\ 2 & 1 & 2 \\ 1 & 2 & k-4 \end{pmatrix}\begin{pmatrix} x \\ y \\ z \end{pmatrix} = \begin{pmatrix} 6 \\ 4 \\ k \end{pmatrix}\) have a unique solution?

For what values of \(\alpha\), the function \(f(x) = \sin x \cos\frac{1}{x}, x \ne 0\); \(f(x) = \alpha, x = 0\), is continuous at \(x = 0\)?

Poly Tetra Fluoro Ethylene (PTFE) is known as:

Tetra ethyl lead is added to gasoline to _______

Which solvent is used for removing benzene from coke-oven gas?