GATE 2025 DA question paper PDF and answer key

Q: How many questions are in the GATE 2025 DA paper?

65 questions for 100 marks: 10 General Aptitude questions worth 15 marks and 55 Data Science & Artificial Intelligence questions worth 85 marks. By type, there were 35 MCQs, 18 MSQs, 12 numerical answer (NAT) questions. The paper lasted 3 hours.

Q: Is there negative marking in GATE 2025 DA?

Yes, for MCQs only. A wrong MCQ answer costs one-third of its marks (−⅓ for a 1-mark question, −⅔ for a 2-mark question). MSQ and numerical (NAT) questions have no negative marking, and an MSQ earns marks only when every correct option is chosen.

Q: Which topics carried the most marks in GATE 2025 DA?

Outside General Aptitude, the biggest topics were Probability and Statistics (19 marks), Programming, Data Structures and Algorithms (14 marks), Machine Learning (14 marks). The full topic-wise split is in the table on this page.

Q: Were any GATE 2025 DA questions awarded marks to all?

No. Every question was graded with the answer in the official key.

Q: Where does this GATE 2025 DA answer key come from?

From the official answer key published by IIT Roorkee, which organised GATE 2025. Range answers for numerical questions and questions with more than one accepted answer are kept exactly as the key gives them.

The official GATE 2025 Data Science & Artificial Intelligence paper, organised by IIT Roorkee: 65 questions for 100 marks in 3 hours. Download the official question paper and answer key as PDFs. Below is how the marks were split by topic, the complete official answer key and 5 questions solved step by step.

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Question paper (PDF)Official answer key (PDF)

Source: the official paper and answer key published by IIT Roorkee for GATE 2025 (official GATE site). Spotted a mistake? Email team@lemyte.com.

General Aptitude: 10 · 15 marks
Data Science & Artificial Intelligence: 55 · 85 marks
MCQ / MSQ / NAT: 35 / 18 / 12
Marks to all: None

Where the marks were

GATE 2025 DA topic-wise marks

Data Science & Artificial Intelligence questions only; General Aptitude adds 15 marks on top. The top three topics carried 47 of the 85 subject marks.

Topic	Questions	Marks
Probability and Statistics	12	19
Programming, Data Structures and Algorithms	9	14
Machine Learning	9	14
Linear Algebra	8	12
Database Management and Warehousing	7	11
Calculus and Optimization	6	9
Artificial Intelligence	4	6

Free solved questions

5 solved questions from GATE 2025 DA

Question text and figures as in the official paper, the answer from the official key, and a worked solution. The other 60 solutions are in your report after you take the paper.

Q7 · General Aptitude · MCQ · 2 marks

Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical for two brothers, and it monotonically increases till the age of 50 years and then it monotonically decreases. Let $a_1$ and $a_2$ (in years) denote the ages of the brothers and $a_1 < a_2$ .

Which one of the following statements is correct about their age on the day when they attain the same weight?

(A)
$a_1 < a_2 < 50$
(B)
$a_1 < 50 < a_2$
(C)
$50 < a_1 < a_2$
(D)
Either $a_1 = 50$ or $a_2 = 50$

Answer (official key): B

Solution

Since the function increases up to age 50 and decreases after age 50, the same weight at two different ages can happen only if one age lies before 50 and the other lies after 50.

Therefore, the correct relation is $a_1 < 50 < a_2$ , so the correct answer is Option B.

Q8 · General Aptitude · MCQ · 2 marks

A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius $r$ cm as shown in the figure. The side of the dodecagon is $d$ cm. All the triangles (numbered 1 to 12) in the figure are used to form squares of side $r$ cm and each numbered triangle is used only once to form a square.

The number of squares that can be formed and the number of triangles required to form each square, respectively, are:

Note: The figure shown is representative.

Figure for GATE 2025 DA question 8 (Quantitative Aptitude)

(A)
3; 4
(B)
4; 3
(C)
3; 3
(D)
3; 2

Answer (official key): A

Solution

The 12 central triangles are congruent. Each triangle has area

$\frac{1}{2}r^2\sin 30^\circ = \frac{1}{4}r^2.$

A square of side $r$ has area $r^2$ , so each square requires

$\frac{r^2}{r^2/4} = 4$

triangles.

Since there are 12 such triangles in total, the number of squares formed is

$12/4 = 3.$

Therefore, the correct answer is Option A.

Q21 · Linear Algebra · MSQ · 1 mark

Which of the following statements is/are correct?

(A)
$\mathbb{R}^n$ has a unique set of orthonormal basis vectors
(B)
$\mathbb{R}^n$ does not have a unique set of orthonormal basis vectors
(C)
Linearly independent vectors in $\mathbb{R}^n$ are orthonormal
(D)
Orthonormal vectors in $\mathbb{R}^n$ are linearly independent

Answer (official key): B, D

Solution

There are infinitely many orthonormal bases in $\mathbb{R}^n$ , so uniqueness is false. Also, orthonormal vectors are always linearly independent, but linearly independent vectors need not be orthonormal. Therefore, the correct answers are B and D.

Q31 · Database Management and Warehousing · Numerical · 1 mark

On a relation named Loan of a bank:

loan_number	branch_name	amount
L11	Banjara Hills	90000
L14	Kondapur	50000
L15	SR Nagar	40000
L22	SR Nagar	25000
L23	Balanagar	80000
L25	Kondapur	70000
L19	SR Nagar	65000

the following SQL query is executed.

SELECT L1.loan_number
FROM Loan L1
WHERE L1.amount > (
  SELECT MAX(L2.amount)
  FROM Loan L2
  WHERE L2.branch_name = 'SR Nagar'
);

The number of rows returned by the query is __________.

(Answer in integer)

Answer (official key): 3

Solution

First find the maximum loan amount for the branch SR Nagar.

From the table, the SR Nagar amounts are:

40000
25000
65000

So the maximum is 65000.

Now count all rows in Loan with amount greater than 65000:

90000
80000
70000

That gives 3 rows.

Therefore, the answer is 3.

Q37 · Artificial Intelligence · MCQ · 2 marks

Consider game trees Tree-1 and Tree-2 as shown. The first level is a MAX agent and the second level is a MIN agent. The value in the square node is the output of the utility function.

For what ranges of $x$ and $y$ , the right child of node B and the right child of node E will be pruned by alpha-beta pruning algorithm?

Game trees for Q43

(A)
$x \in [1,\infty)$ and $y \in (-\infty,2]$
(B)
$x \in (-\infty,2]$ and $y \in (-\infty,5]$
(C)
$x \in (-\infty,2]$ and $y \in [2,\infty)$
(D)
$x \in [1,\infty)$ and $y \in (-\infty,5]$

Answer (official key): C

Solution

This is a figure-dependent alpha-beta pruning question. The official accepted answer is Option C. A step-by-step pruning trace can be added later if you want the final polished explanation.

The other 60 questions are solved in your report when you take GATE 2025 DA as a 3-hour test.

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Official answer key

GATE 2025 DA answer key

All 65 answers from the official key. Numerical answers are ranges; “or” means the key accepts either answer.

Download the official GATE 2025 DA answer key (PDF)

Q	Topic	Type	Marks	Answer
1	Analytical Aptitude	MCQ	1	A
2	Verbal Aptitude	MCQ	1	A
3	Quantitative Aptitude	MCQ	1	C
4	Verbal Aptitude	MCQ	1	B
5	Quantitative Aptitude	MCQ	1	C
6	Quantitative Aptitude	MCQ	2	C
7	Analytical Aptitude	MCQ	2	B
8	Quantitative Aptitude	MCQ	2	A
9	Verbal Aptitude	MCQ	2	B
10	Quantitative Aptitude	MCQ	2	A
11	Calculus and Optimization	MCQ	1	A
12	Programming, Data Structures and Algorithms	MCQ	1	D
13	Database Management and Warehousing	MCQ	1	C
14	Linear Algebra	MCQ	1	C
15	Artificial Intelligence	MCQ	1	A
16	Probability and Statistics	MCQ	1	A
17	Probability and Statistics	MCQ	1	A
18	Probability and Statistics	MCQ	1	C
19	Database Management and Warehousing	MCQ	1	C
20	Linear Algebra	MCQ	1	B
21	Linear Algebra	MSQ	1	B, D
22	Artificial Intelligence	MSQ	1	C, D
23	Machine Learning	MCQ	1	A
24	Probability and Statistics	MCQ	1	A
25	Machine Learning	MSQ	1	B, D
26	Programming, Data Structures and Algorithms	MCQ	1	A
27	Programming, Data Structures and Algorithms	MSQ	1	C
28	Programming, Data Structures and Algorithms	MSQ	1	A, C
29	Linear Algebra	MSQ	1	A, B
30	Calculus and Optimization	MSQ	1	A, B, C
31	Database Management and Warehousing	Numerical	1	3
32	Calculus and Optimization	Numerical	1	0.5
33	Machine Learning	Numerical	1	0.285 to 0.287
34	Probability and Statistics	Numerical	1	0.25
35	Machine Learning	Numerical	1	0.39 to 0.41
36	Linear Algebra	MCQ	2	A
37	Artificial Intelligence	MCQ	2	C
38	Probability and Statistics	MCQ	2	C
39	Machine Learning	MCQ	2	A
40	Linear Algebra	MCQ	2	D
41	Artificial Intelligence	MCQ	2	C
42	Probability and Statistics	MCQ	2	C
43	Probability and Statistics	MCQ	2	A
44	Probability and Statistics	MCQ	2	A
45	Probability and Statistics	MCQ	2	B
46	Linear Algebra	MSQ	2	A, B
47	Calculus and Optimization	MSQ	2	B, C, D
48	Programming, Data Structures and Algorithms	MCQ	2	B
49	Programming, Data Structures and Algorithms	MSQ	2	A, C, D
50	Database Management and Warehousing	MSQ	2	B, C
51	Calculus and Optimization	MSQ	2	C, D
52	Machine Learning	MSQ	2	B, C
53	Machine Learning	MSQ	2	B, C
54	Probability and Statistics	MSQ	2	A, C
55	Linear Algebra	MSQ	2	A, D
56	Database Management and Warehousing	MSQ	2	B, D
57	Database Management and Warehousing	MCQ	2	D
58	Machine Learning	MSQ	2	A, C
59	Probability and Statistics	Numerical	2	66.6 to 66.7
60	Programming, Data Structures and Algorithms	Numerical	2	160
61	Database Management and Warehousing	Numerical	2	1
62	Programming, Data Structures and Algorithms	Numerical	2	24
63	Calculus and Optimization	Numerical	2	0
64	Programming, Data Structures and Algorithms	Numerical	2	75
65	Machine Learning	Numerical	2	100

Questions about GATE 2025 DA

How many questions are in the GATE 2025 DA paper?

65 questions for 100 marks: 10 General Aptitude questions worth 15 marks and 55 Data Science & Artificial Intelligence questions worth 85 marks. By type, there were 35 MCQs, 18 MSQs, 12 numerical answer (NAT) questions. The paper lasted 3 hours.

Is there negative marking in GATE 2025 DA?

Yes, for MCQs only. A wrong MCQ answer costs one-third of its marks (−⅓ for a 1-mark question, −⅔ for a 2-mark question). MSQ and numerical (NAT) questions have no negative marking, and an MSQ earns marks only when every correct option is chosen.

Which topics carried the most marks in GATE 2025 DA?

Outside General Aptitude, the biggest topics were Probability and Statistics (19 marks), Programming, Data Structures and Algorithms (14 marks), Machine Learning (14 marks). The full topic-wise split is in the table on this page.

Were any GATE 2025 DA questions awarded marks to all?

No. Every question was graded with the answer in the official key.

Where does this GATE 2025 DA answer key come from?

From the official answer key published by IIT Roorkee, which organised GATE 2025. Range answers for numerical questions and questions with more than one accepted answer are kept exactly as the key gives them.

Other GATE DA papers

GATE DA topic-wise weightage and 2027 syllabus

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GATE 2025 DA question paper PDF and answer key

GATE 2025 DA topic-wise marks

5 solved questions from GATE 2025 DA

GATE 2025 DA answer key

Questions about GATE 2025 DA

How many questions are in the GATE 2025 DA paper?

Is there negative marking in GATE 2025 DA?

Which topics carried the most marks in GATE 2025 DA?

Were any GATE 2025 DA questions awarded marks to all?

Where does this GATE 2025 DA answer key come from?

More GATE papers