GATE AI 2025 | GATE Data Science and Artificial Intelligence Year Wise Previous Years Questions

GATE Data Science and Artificial Intelligence

General Aptitude

1. Courage : Bravery :: Yearning : ___________ Select the most appropriate option to complete the analogy. 2. We ___________ tennis in the lawn when it suddenly started to rain. Select the most appropriate option to complete the a 3. A $4 \times 4$ digital image has pixel intensities $(U)$ as shown in the figure. The number of pixels with $U \leq 4$ is 4. In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1,2 , and 3 , respectively. Wh 5. A rectangle has a length L and a width W . where $\mathrm{L}>\mathrm{W}$. If the width, W , is increased by $10 \%$, whi 6. Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk. Column - I Column-II 7. Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppo 8. A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius $r \mathrm{~cm}$ as shown in the figur 9. If a real variable $x$ satisfies $3^{x^2}=27 \times 9^x$, then the value of $\frac{2^{x^2}}{\left(2^x\right)^2}$ is : 10. The number of patients per shift ( $X$ ) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amoun

GATE Data Science and Artificial Intelligence

General Aptitude

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GATE AI 2025

MCQ (Single Correct Answer)

-0

A random experiment consists of throwing 100 fair dice, each die having six faces numbered 1 to 6 . An event $A$ represents the set of all outcomes where at least one of the dice shows a 1 . Then, $\mathrm{P}(\mathrm{A})=$

$1-\left(\frac{5}{6}\right)^{100}$

$\left(\frac{5}{6}\right)^{100}$

GATE AI 2025

MCQ (More than One Correct Answer)

-0

Consider the function

$$ f(\mathrm{x})=\frac{x^3}{3}+\frac{7}{2} x^2+10 x+\frac{133}{2}, x \in[-8,0] . $$

Which of the following statements is/are correct?

The maximum value of $f$ is attained at $x=-5$

The minimum value of $f$ is attained at $x=-2$

The maximum value of $f$ is $\frac{133}{2}$

The minimum value of the derivative of $f$ is attained at $x=-\frac{7}{2}$

GATE AI 2025

MCQ (More than One Correct Answer)

-0

Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a twice-differentiable function and suppose its second derivative

satisfies $f^{\prime \prime}(x)>0$ for all $x \in \mathbb{R}$. Which of the following statements is/are ALWAYS correct?

$f$ has a local minima

There does not exist $x$ and $y, x \neq y$,, such that $f^{\prime}(x)=f^{\prime}(y)=0$

$f$ has at most one global minimum

$f$ has at most one local minimum

GATE AI 2025

MCQ (More than One Correct Answer)

-0

An $n \times n$ matrix $A$ with real entries satisfies the property: $\|A x\|^2=\|x\|^2$ for all $x \in R^n$ where $\|\cdot\|$ denotes the Euclidean norm. Which of the following statements is/are ALWAYS correct?

$A$ must be orthogonal

$A=I$, where $I$ denotes the identity matrix, is the only solution

The eigenvalues of $A$ are either +1 or $-1$

A has full rank

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GATE Data Science and Artificial Intelligence Papers

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2025

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