List of top Questions asked in GATE BT- 2026

How many 3-digit numbers can be formed using three distinct single digit prime numbers?
Charity : P :: Retaliation : Q
Choose the appropriate pair of words P and Q that fit the analogy.
For the given matrix, which of the statements given below is/are true?

\[ \begin{bmatrix} 3 & 1 & 5 \\ 2 & -1 & 0 \\ 5 & 2 & 9 \end{bmatrix} \]
If the straight lines given by the following two equations are parallel to each other, the value of \(a\) is _____. (answer in integer) \[ 4x + 7y = 6; \quad 3ax + 42y = 24 \]
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
Consider the equation \[ \frac{dy}{dx} = \frac{1}{x} \] The value of the integral \(\int_{1}^{2} dy\) using trapezoidal method and interval \(h = 0.25\) is ________. (rounded off to two decimal places)
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?
Which of the following enzyme is involved in the protection of cells from reactive oxygen species?
A school has 100 students distributed among 1st to 10th standards.
Based on this, which one of the following statements is always correct?
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
The equation \(\dfrac{d^2y}{dx^2} - y = 0\) has a solution of the form \(y = e^{Ax}\). The value(s) of \(A\) satisfying this is/are:
Which of the following is one of the eigenvalues for the matrix given below?
\[ \begin{bmatrix} 3 & 4 \\ 4 & -3 \end{bmatrix} \]
The mean of the following series is . (rounded off to three decimal places)
\(0.01,\ 0.02,\ 0.03,\ \ldots,\ 1\)
A straight line \(y = x - 1\) intersects a circle with center at \(x = 1, y = 1\) and radius of magnitude 1 at two points. The length of the chord formed by this intersection is ________. (rounded off to three decimal places)
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 .
"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.
From the following plot of \(\dfrac{dy}{dx}\) versus \(x\), and if \(y(2) = 5\), the value of \(y(3)\) is . (rounded off to one decimal place)
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.
You have purified an enzyme using a series of chromatographic methods. It was observed that a 10 \(\mu\)g mL-1 of this purified enzyme converted 10 mM substrate per hour at 25\(^{\circ}\)C and pH 7. Its specific activity is IU \(\mu\)g-1. (rounded off to three decimal places)
In the sequence of tiles shown below, the missing tile indicated by the question mark should be
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 \(x \to 2\)?
Match the carbohydrates in Column I with the correct glycosidic linkages involved in Column II.

Column IColumn II
P. Amylose1. \(\beta(1\rightarrow4)\)
Q. Sucrose2. \(\alpha(1\rightarrow4)\)
R. Amylopectin3. \(\alpha1\rightarrow\beta2\)
S. Cellulose4. \(\alpha(1\rightarrow4), \alpha(1\rightarrow6)\)
Which one of the following options represents the products of light reactions of photosynthesis in plants?
An enzyme-catalyzed reaction is found to have \(\Delta G = -100\) kJ mol\(^{-1}\). Which of the following statements about this reaction is/are true?
Which of the following functions has the highest area under the curve between \(x=0\) and \(x=10\)?