List of top Mathematics Questions asked in GATE Biotechnology

If the function
\[ f(x) = \begin{cases} \sin(2x), & \text{for } x > 0, \\ a + bx, & \text{for } x \leq 0, \end{cases} \]
where \( a \) and \( b \) are constants, is differentiable at \( x = 0 \), then \( a + b \) is equal to:

An enzyme immobilized in a porous spherical pellet, catalyzes a strongly mass-transfer limited first-order reaction. The effectiveness factor for the immobilized enzyme reaction increases with the

The blood group of the mother is A\(^+\) and that of the father is AB\(^+\). Which of the following statements is/are correct?

Which of the following statements about initiation of DNA replication in eukaryotes is/are true?

Correctly match the Coenzyme with its respective involvement in a specific Reaction type.

Correctly match the Enzyme with its respective Function.

An octapeptide composed of these L-amino acids – Lys, Thr, Ser, Met, Arg, Trp, Tyr, Glu – was subjected to analyses with the following outcomes:
P. The N-terminal sequencing analysis by Sanger’s method yielded ‘Ser’ at the N-terminus
Q. Chymotrypsin treatment gave a pentapeptide, a ‘Tyr’ containing dipeptide, and a free ‘Glu’
R. Cyanogen bromide treatment gave two tetrapeptides
S. Trypsin treatment gave two tripeptides and a dipeptide
Which one of the following is the correct octapeptide sequence?

Two fair six-sided dice, with sides numbered 1 to 6, are thrown once. The probability of getting 7 as the sum of the numbers on the top side of the dice is ________. (Round off to two decimal places)

Which one of the following coenzymes is utilised by alanine racemase for the conversion of L-Alanine to D-Alanine?

Within the Michaelis-Menten framework, the ratio of \( v_0 / V_{{max}} \) when [S] = 20 × \( K_m \) is ________.