List of top Questions asked in Andhra Pradesh Post Graduate Engineering Common Entrance Test

The value of the real variable \( x > 0 \) that minimizes the function \( f(x) = x^{-x} e^x \) is:
Let \( A = \begin{pmatrix} 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \end{pmatrix} \) be a 3 × 3 matrix. If \( \alpha \) and \( \beta \) are the largest and smallest eigenvalues of \( A \), respectively, then \( \alpha - \beta = \_\_\_\_\_\_ \)
If the determinant of the 3 × 3 matrix \( A = \begin{pmatrix} a & 1 & 2 \\ b & 0 & -2 \\ 1 & -3 & 1 \end{pmatrix} \) is zero, then the values of \( a \) and \( b \) are:

Match the items in Group 1 with an appropriate description in Group 2:

The overall stoichiometry for aerobic cell growth is:
3C6H12O6 + 2.5NH3 + O2 → 1.5C6H8O4Na + 3CO2 + 5H2O

The elemental composition formula of the biomass is:
If \(f(x) = |x - 1|\), then
The solution of the differential equation \(\frac{d^2y}{dx^2} - 3 \frac{dy}{dx} + 2y = 0\) satisfying \(y(0) = 0\), \(y'(0) = 1\), is
Which one of the following is the causative agent of Typhoid fever?
What is the main purpose of DNA microarrays in genomics?
The main end products of anaerobic digestion of organic waste are:
Which one of the following is the causative agent of fowl cholera?
Dissolved oxygen (DO) in a bioreactor is typically measured using a:
High cell density fermentations often exhibit:
Which scoring matrix is primarily used in amino acid sequence alignment?
What type of sequence alignment does BLAST primarily perform?
What region of an mRNA is most commonly associated with transcript destabilization?
The oxygen uptake rate (OUR) in a bioprocess is dependent on:
The Monod equation relates microbial growth rate to:
Site-directed mutagenesis is commonly used to:
Which transposable element uses a “copy-and-paste” mechanism to move within the genome?
Which one of the following hormones promotes production of seedless grapes?
Which of the following techniques uses temperature cycling for DNA amplification?
The term "washout" in continuous culture refers to:
Seedless fruits may arise as a result of:
In downstream processing, chromatography is primarily used for: