GATE Data Science & AI Important Questions | GATE 2025 DA Exam

The Graduate Aptitude Test in Engineering (GATE) is a competitive exam that opens doors to various postgraduate programs in IITs, NITs, etc., and also helps in seeking job opportunities in Public Sector Undertakings (PSUs). IISC Bangalore conducted the GATE 2024 Examination.

There are various streams in GATE like GATE CS (Computer Science), GATE EC( Electronics and Communication Engineering), GATE EE(Electrical Engineering), GATE ME(Mechanical Engineering), etc. But, from the year 2024, a new paper has been added to the list i.e. GATE DA (Data Science and Artificial Intelligence).

As for the GATE 2025 exam, the notification has been released, and the exam is scheduled to take place on February 1, 2, 15, and 16, 2025. Candidates are advised to check the GATE Exam 2025 for detailed information regarding registration dates, exam schedules, and the syllabus.

This article covers the important questions from the GATE DA 2024 exam that are crucial for candidates preparing for GATE DA 2025, based on PYQs and the trends observed in the previous exam.

Important Questions From GATE DA 2024 Paper

Below mentioned are the important GATE DA Questions. We have mentioned the questions according to the sections like General Aptitude, Engineering Mathematics, Data Science and Artificial Intelligence.

Solving these questions will give you a better idea of the paper and enhances you chance of success in the GATE Exam.

General Aptitude

1. How many 4-digit positive integers divisible by 3 can be formed using only the digits {1, 3,4, 6, 7}, such that no digit appears more than once in a number?

(A) 24

(B) 48

(C) 72

(D) 12

Answer: (B)

2. In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid.

Based on the data provided, the total number of valid votes received by the candidates B and C is

(A) 45,000

(B) 49,500

(C) 51,750

(D) 54,000

Answer: (B)

3. Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table.

At the end of one year, the total amount that Person 1 gets is ₹500 more than Person 2. The annual rate of return for the mutual funds B and C is 15% each. What is the annual rate of return for the mutual fund A?

(A) 7.5%

(B) 10%

(C) 15%

(D) 20%

Answer: (B)

Engineering Mathematics

1. Consider the following statements:

(i) The mean and variance of a Poisson random variable are equal.

(ii) For a standard normal random variable, the mean is zero and the variance is one.

Which ONE of the following options is correct?

(A) Both (i) and (ii) are true

(B) (i) is true and (ii) is false

(C) (ii) is true and (i) is false

(D) Both (i) and (ii) are false

Answer: (A)

2. Three fair coins are tossed independently. T is the event that two or more tosses result in heads. S is the event that two or more tosses result in tails. What is the probability of the event 𝑇 ∩ 𝑆 ?

(A) 0

(B) 0.5

(C) 0.25

(D) 1

Answer: (A)

3. Let 𝑥 and 𝑦 be two propositions. Which of the following statements is a tautology /are tautologies?

(A) (¬𝑥 ∧ 𝑦 ) ⟹ (𝑦 ⟹ 𝑥)

(B) (𝑥 ∧ ¬𝑦 ) ⟹ (¬𝑥 ⟹ 𝑦)

(C) (¬𝑥 ∧ 𝑦 ) ⟹ (¬𝑥 ⟹ 𝑦)

(D) (𝑥 ∧ ¬𝑦 ) ⟹ (𝑦 ⟹ 𝑥)

Answer: (B,C,D)

4. Consider the 3 × 3 matrix

The determinant of (𝑴² + 12𝑴) is _______

Answer: 0

Data Science and Artificial Intelligence

1. Match the items in Column 1 with the items in Column 2 in the following table:

(A) (p) − (ii), (q) − (iii), (r) − (i)

(B) (p) − (ii), (q) − (i), (r) − (iii)

(C) (p) − (i), (q) − (ii), (r) − (iii)

(D) (p) − (i), (q) − (iii), (r) − (ii)

Answer: (A)

2. Given a dataset with 𝐾 binary-valued attributes (where 𝐾 > 2) for a two-class classification task, the number of parameters to be estimated for learning a naïve Bayes classifier is

(A) 2^K + 1

(B) 2^K + 1

(C) 2^K+1 + 1

(D) 𝐾² + 1

Answer: (B)

3. Let ℎ₁ and ℎ₂ be two admissible heuristics used in 𝐴^* search. Which ONE of the following expressions is always an admissible heuristic?

(A) ℎ₁ + ℎ₂

(B) ℎ₁ × ℎ₂

(C) ℎ₁ /ℎ₂ , (ℎ₂ ≠ 0)

(D) |ℎ₁ − ℎ₂ |

Answer: (D)

4. Consider the following Python code:

def count(child_dict, i):  def count(child_dict, i):  
	if i not in child_dict.keys():  
  		return 1  
	ans = 1  
	for j in child_dict[i]:  
		ans += count(child_dict, j)  
	return ans
child_dict = dict() 
child_dict[0] = [1,2] 
child_dict[1] = [3,4,5] 
child_dict[2] = [6,7,8] 
print(count(child_dict,0)) 

Which ONE of the following is the output of this code?

(A) 6

(B) 1

(C) 8

(D) 9

Answer: (D)

5. Consider the directed acyclic graph (DAG) below:

Which of the following is/are valid vertex orderings that can be obtained from a topological sort of the DAG?

(A) P Q R S T U V

(B) P R Q V S U T

(C) P Q R S V U T

(D) P R Q S V T U

Answer: (B,D)

6. Let game(ball, rugby) be true if the ball is used in rugby and false otherwise.

Let shape(ball, round) be true if the ball is round and false otherwise.

Consider the following logical sentences:

s1: ∀ball ¬ game(ball, rugby) ⟹shape(ball, round) 
s2: ∀ball ¬ shape(ball, round) ⟹game(ball, rugby) 
s3: ∀ball game(ball, rugby) ⟹ ¬ shape(ball, round) 
s4: ∀ball shape(ball, round) ⟹ ¬ game(ball, rugby) 

Which of the following choices is/are logical representations of the assertion,

“All balls are round except balls used in rugby”?

(A) 𝑠1 ∧ 𝑠3

(B) 𝑠1 ∧ 𝑠2

(C) 𝑠2 ∧ 𝑠3

(D) 𝑠3 ∧ 𝑠4

Answer: (A,C)

For the complete list of important GATE 2024 questions that are highly likely to appear in GATE DA 2025, you can access the remaining solved questions through this link:

• GATE DA 2024 Question Paper
• GATE DA 2024 Answer Key

GATE DA Marking Scheme

GATE DA Syllabus

For more detailed syllabus of GATE DA, refer to GATE Data Science and Artificial Intelligence Syllabus 2025.

Importance of Solving GATE DA Questions

For cracking any competitive exam, solving previous year questions will give you an proper idea that how the actual paper will come. It also helps you in improving time management also. Below mentioned are the importance of solving GATE DA Questions:

• It helps in understanding key concepts
• It helps in increasing/boosting Speed and Accuracy.
• Helps in better understanding of the Exam Pattern and format.
• It helps in improving time management.
• It helps you in knowing your weak areas respect to the subject knowledge.
• It helps in gaining confidence.

Conclusion

Preparing for GATE DA 2025 requires more than just studying concepts, practicing important questions is key to mastering the subject. By solving a wide range of problems in areas like data structures, algorithms, statistics, and databases, you not only increase your understanding but also develop the speed and accuracy required for the exam. These important questions give you a glimpse of the kind of challenges you might face in the actual test, helping you build confidence and identify areas that need improvement.

By analyzing the important questions from 2024 PYQs, aspirants can prepare more effectively for GATE 2025. It helps identify focus areas, improve time management, and build confidence. Consistent practice, along with a strong grasp of concepts, is crucial for success in GATE DA 2025.