List of top Questions asked in GATE BT

In nitrogen fixation, to reduce nitrogen to ammonia, which one of the following shows the correct order of electron flow?

Which of the following functions has the highest area under the curve between \(x=0\) and \(x=10\)?

Which of the following is one of the eigenvalues for the matrix given below?
\[ \begin{bmatrix} 3 & 4 \\ 4 & -3 \end{bmatrix} \]

Cancer cells display a high level of heterogeneity in the expression of TP53 protein. Which of the following techniques can be directly used to determine the intra-tumoral heterogeneity of TP53 expression in a given tumor sample, without resorting to additional cell separation techniques?

As shown in the figure, circle \(C_1\) with center \(O_1\) and radius \(r_1\) touches the square \(VWXY\) at points \(P\) and \(Q\) while circle \(C_2\) with center \(O_2\) and radius \(r_2\) touches the square \(VWXY\) at points \(R\) and \(S\). The two circles touch each other at \(T\).
Given \(r_1 = 1\) cm and \(\overline{VY} = \overline{VW} = 4\) cm, \(r_2 =\) cm.

Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them:

1. Neither H2 nor H3 is the easternmost hill.
2. Neither H2 nor H3 is the westernmost hill.
3. Neither the easternmost hill nor the westernmost hill is the southernmost hill.
4. Two hills are located to the west of H2.
5. The southernmost hill has at least two hills to its east.

The southernmost hill is .

Consider the two functions \(f_1(x) = \dfrac{x^2-4}{x-2}\) and \(f_2(x) = x^2 - 2x + 2\). Which of the following is the value of \((f_1(x)+f_2(x))\) as \(x \to 2\)?

A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?

Charity : P :: Retaliation : Q
Choose the appropriate pair of words P and Q that fit the analogy.

Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such that any two corners that are connected by an edge must be of different colors. The minimum number of colors required to achieve this is

A school has 100 students distributed among 1st to 10th standards.
Based on this, which one of the following statements is always correct?

In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is

How many 3-digit numbers can be formed using three distinct single digit prime numbers?

In the sequence of tiles shown below, the missing tile indicated by the question mark should be

"He often the numbers. False claims are not going to help. Honesty trust", said the manager.
Choose the option with the correct order of words to fill the blanks.

Which antibody class is most abundant in human serum?

Which of the following is a recessive genetic disorder?

Which of the following bonds is responsible for maintaining the secondary structure of proteins?

Which microorganism is commonly used for industrial production of ethanol?

Which parameter is most commonly controlled in a bioreactor?

Which enzyme is responsible for synthesis of RNA from a DNA template?

The most commonly used technique for separation of proteins is:

Let \( A = \begin{pmatrix} 1 & 0 & 1 \\ 0 & k & 0 \\ 3 & 0 & -1 \end{pmatrix} \). If the eigenvalues of \( A \) are -2, 1, and 2, then the value of \( k \) is __________. (Answer in integer)

For the coupled reactions given below: Glucose 6-phosphate + H\(_2\)O → Glucose + Pi (Reaction 1)
ATP + Glucose → ADP + Glucose 6-phosphate (Reaction 2) The standard free energy change of ATP hydrolysis at 25 °C is __ kJ/mol. The equilibrium constants for Reaction 1 and Reaction 2 are 360 and 800, respectively; Gas constant \( R = 8.314 \, {J mol}^{-1} {K}^{-1} \). (Round off to two decimal places)

An NMR spectrometer operating at proton resonance frequency \( \nu \) of 1 GHz will have a magnetic field strength of __________ Tesla (T). The gyromagnetic ratio for proton, \( \gamma = 2.675 \times 10^8 \, {T}^{-1} {s}^{-1} \). (Round off to one decimal place)