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

Simpson's \( \frac{1}{3} \) rule is applied when

The probability distribution of a random variable \( X \) is given as follows. Then, \( P(X = 50) - \frac{P(X \leq 30)}{P(X \geq 20)} \) = 

The inverse Laplace transformation of \( \frac{s+5}{s^2 + 4s + 4} \) for \( t \geq 0 \), is
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?
Dissolved oxygen (DO) in a bioreactor is typically measured using a:
Which one of the following is the causative agent of fowl cholera?
The main end products of anaerobic digestion of organic waste are:
The Monod equation relates microbial growth rate to:
Site-directed mutagenesis is commonly used to:
What type of sequence alignment does BLAST primarily perform?
The oxygen uptake rate (OUR) in a bioprocess is dependent on:
What region of an mRNA is most commonly associated with transcript destabilization?
Which scoring matrix is primarily used in amino acid sequence alignment?
High cell density fermentations often exhibit:
Which one of the following hormones promotes production of seedless grapes?
The term "washout" in continuous culture refers to:
Which transposable element uses a “copy-and-paste” mechanism to move within the genome?