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GATE XE 2026 | GA | Question: 1
To continue the sequence of tiles shown, the tile indicated by the question mark should be 
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GATE XE 2026 | GA | Question: 2
Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch ...
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GATE XE 2026 | GA | Question: 3
The $2^{\text {nd }}$ of June is a Thursday in a certain year. Which day of the week is the $3^{\text {rd }}$ of July in that year?ThursdayFridaySaturdaySunday
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GATE XE 2026 | GA | Question: 4
A coin with heads facing up is shown as and a coin with tails facing up is shown as .Six coins are placed in the Starting Arrangement, as shown in the figure below. A “s...
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GATE XE 2026 | GA | Question: 5
Exacerbate : Mitigate :: $\_\_\_\_$Choose the option with the correct pair of words to fill the blank.Aggravate: AlleviateAlleviate : PrecipitateAggravate: PrecipitateEma...
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GATE XE 2026 | GA | Question: 6
A paper shown in Panel $\text{I}$ is folded along the dashed lines $(- - -)$ to construct a cube. The shaded regions shown in Panel $\text{I}$ appear on the outer surfac...
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GATE XE 2026 | GA | Question: 7
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both...
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GATE XE 2026 | GA | Question: 8
Four people $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, and $\mathrm{S}$, of different ages, make the following observations.$\mathrm{P}$ - I am younger than $\mathrm{S}$.$\mat...
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GATE XE 2026 | GA | Question: 9
Circles $C_{1}, C_{2}$, and $C_{3}$, with centers $O_{1}, O_{2}$, and $O_{3}$, and radii $r_{1}, r_{2}$, and $r_{3}$, respectively, touch each other as shown in the follo...
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GATE XE 2026 | GA | Question: 10
Suresh said, "I did it yesterday."Which one of the following options is the correct form of this sentence in indirect speech?Suresh said that I did it yesterday.Suresh sa...
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GATE XE 2026 | Question: 1
For the complex function$$f(z)=f(x+i y)=x^{3}-4 x y^{2}+i\left(4 x^{2} y-2 y^{3}\right)$$consider the following two statements$P: f$ is not analytic at $(0,0)$.$Q: f$ doe...
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GATE XE 2026 | Question: 2
Let $C$ be the circle $(x-1)^{2}+y^{2}=25$ oriented counterclockwise. Then, the value of the line integral$$\oint_{C}\left[\left(x^{5}-3 y\right) d x+\left(-2 x+e^{y^{2}}...
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GATE XE 2026 | Question: 3
Let $W(x)$ denote the Wronskian of two linearly independent solutions $y_{1}(x)$ and $y_{2}(x)$ of the differential equation$$(x-1) \frac{d^{2} y}{d x^{2}}+2 \frac{d y}{d...
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GATE XE 2026 | Question: 4
Which of the following statements is/are true?$Y=1+1.8 X$ and $X=1-0.5 Y$ are estimated as lines of regression of $Y$ on $X$ and $X$ on $Y$, respectively.$Y=1+1.3 X$ and ...
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GATE XE 2026 | Question: 5
Consider the matrix $A=\left[\begin{array}{ccc}1 & \sqrt{2} & 0 \\ \sqrt{2} & 0 & 0 \\ 0 & 0 & 1\end{array}\right]$. Then, which of the following statements is/are true?A...
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GATE XE 2026 | Question: 6
Let $L$ be the lamina of the form $x^{2}+4 y^{2} \leq 64,0 \leq y \leq 4$, with density $\rho(x, y)=\mid x \mid y$. Then, the mass of $L$ (in integer) is $\_\_\_\_$
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GATE XE 2026 | Question: 7
Let $X$ be a random variable having probability density function (pdf)$$f_X(x) =\left\{\begin{array}{ll}\dfrac{e}{2(e-1)} e^{-x}, & 0 < x < 1, \\\dfrac{1}{2}, & 1 < x < 2...
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GATE XE 2026 | Question: 8
Match each entry of $\text{List-1}$ with a suitable entry in $\text{List-2}$ and choose the correct option.$\textbf{List-1}$$\textbf{List-2}$$\mathrm{P}$$\text{The sum of...
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GATE XE 2026 | Question: 9
Consider the following partial differential equation (PDE)$$(y-1) \frac{\partial^{2} u}{\partial x^{2}}-(x-3)^{2} \frac{\partial^{2} u}{\partial y^{2}}+y^{2} \frac{\parti...
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GATE XE 2026 | Question: 10
Let $\left[\begin{array}{ccc}l_{11} & 0 & 0 \\ l_{21} & l_{22} & 0 \\ l_{31} & l_{32} & -10\end{array}\right]\left[\begin{array}{ccc}1 & u_{12} & u_{13} \\ 0 & 1 & u_{23}...
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