GATE DA 2024 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

GATE DA 2024 previous year paper: 65 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

Paper breakdown

65 questions · 100 marks · 3 minutes. Programming, Data Structures and Algorithms: 13 · Probability and Statistics: 10 · Machine Learning: 10 · Linear Algebra: 6 · Artificial Intelligence: 6 · Quantitative Aptitude: 5 · Calculus and Optimization: 5 · Database Management and Warehousing: 4 · Spatial Aptitude: 3 · Verbal Aptitude: 2 · Analytical Aptitude: 1

Free sample questions from GATE DA 2024 Question Paper

Question 1 · Verbal Aptitude MCQ

If ‘→’ denotes increasing order of intensity, then the meaning of the words
[sick → infirm → moribund] is analogous to [silly → _______ → daft].
Which one of the given options is appropriate to fill the blank?

A.
frown
B.
fawn
C.
vein
D.
vain

Question 2 · Spatial Aptitude MCQ

The 15 parts of the given figure are to be painted such that no two adjacent parts
with shared boundaries (excluding corners) have the same color. The minimum
number of colors required is

A.
4
B.
3
C.
5
D.
6

Question 3 · Quantitative Aptitude MCQ

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

Question 4 · Quantitative Aptitude MCQ

The sum of the following infinite series is

2 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{8} + \frac{1}{9} + \frac{1}{16} + \frac{1}{27} + \dots

A.
$\frac{11}{3}$
B.
$\frac{7}{2}$
C.
$\frac{13}{4}$
D.
$\frac{9}{2}$

Question 5 · Quantitative Aptitude MCQ

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

Correct Answer:

Step-by-Step Solution

Key idea: This is a pie chart interpretation question with a valid/invalid data trap, recognisable because it gives total votes, invalid votes, and percentages that apply only to valid votes.

Step 1: Calculate the total number of valid votes. Total votes = 1,15,000. Invalid votes = 5,000. Valid votes = 1,15,000 - 5,000 = 1,10,000.

Step 2: Identify the combined percentage share of candidates B and C from the pie chart. Share of B = 25%, Share of C = 20%. Combined share = 25% + 20% = 45%.

Step 3: Calculate the number of valid votes for B and C. 45% of 1,10,000 = 0.45 \times 1,10,000 = 49,500.

Answer: B

Question 6 · Verbal Aptitude MCQ

Thousands of years ago, some people began dairy farming. This coincided with a
number of mutations in a particular gene that resulted in these people developing
the ability to digest dairy milk.
Based on the given passage, which of the following can be inferred?

A.
All human beings can digest dairy milk.
B.
No human being can digest dairy milk.
C.
Digestion of dairy milk is essential for human beings.
D.
In human beings, digestion of dairy milk resulted from a mutated gene.

Question 7 · Probability and Statistics MCQ

The probability of a boy or a girl being born is 1/2. For a family having only
three children, what is the probability of having two girls and one boy?

A.
$\frac{3}{8}$
B.
$\frac{1}{8}$
C.
$\frac{1}{4}$
D.
$\frac{1}{2}$

Question 8 · Quantitative Aptitude MCQ

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.

	Mutual fund A	Mutual fund B	Mutual fund C
Person 1	₹10,000	₹20,000	₹20,000
Person 2	₹20,000	₹15,000	₹15,000

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%

Question 9 · Spatial Aptitude MCQ

Three different views of a dice are shown in the figure below.

The piece of paper that can be folded to make this dice is

Question 10 · Spatial Aptitude MCQ

Visualize two identical right circular cones such that one is inverted over the other
and they share a common circular base. If a cutting plane passes through the vertices
of the assembled cones, what shape does the outer boundary of the
resulting cross-section make?

A.
A rhombus
B.
A triangle
C.
An ellipse
D.
A hexagon

Other GATE DA papers

GATE DA

Previous Year Papers

Verified Solutions Included

GATE DA 2024 Question Paper with Solutions: 65 Questions, Answer Key & Section-wise Analysis

GATE DA 2024 previous year paper: 65 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

65 Qs

Total Questions

100 Marks

Total Marks

3 Mins

Duration

+3 / -1 / 0

Marking Scheme

Section-wise Paper Structure

Programming, Data Structures and Algorithms

13 Qs

20% of total marks

Probability and Statistics

10 Qs

15% of total marks

Machine Learning

10 Qs

15% of total marks

Linear Algebra

6 Qs

9% of total marks

Artificial Intelligence

6 Qs

9% of total marks

Quantitative Aptitude

5 Qs

8% of total marks

Calculus and Optimization

5 Qs

8% of total marks

Database Management and Warehousing

4 Qs

6% of total marks

Spatial Aptitude

3 Qs

5% of total marks

Verbal Aptitude

2 Qs

3% of total marks

Analytical Aptitude

1 Qs

2% of total marks

Free Solved Questions with Step-by-Step Solutions

Authentic examination problems with detailed derivations and answer keys.

Question 1

If ‘\to’ denotes increasing order of intensity, then the meaning of the words [sick \to infirm \to moribund] is analogous to [silly \to _______ \to daft]. Which one of the given options is appropriate to fill the blank?

Question 2

The 15 parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The minimum number of colors required is

Question 3

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?

Question 4

The sum of the following infinite series is 2 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{8} + \frac{1}{9} + \frac{1}{16} + \frac{1}{27} + \dots

Question 5

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. Share of valid votes A 40% B 25% C 20% D 15% Based on the data provided, the total number of valid votes received by the candidates B and C is

Question 6

Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people developing the ability to digest dairy milk. Based on the given passage, which of the following can be inferred?

Question 7

The probability of a boy or a girl being born is 1/2. For a family having only three children, what is the probability of having two girls and one boy?

Question 8

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. Mutual fund A Mutual fund B Mutual fund C Person 1 ₹10,000 ₹20,000 ₹20,000 Person 2 ₹20,000 ₹15,000 ₹15,000 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?

Question 9

Three different views of a dice are shown in the figure below. 541463265 The piece of paper that can be folded to make this dice is

Question 10

Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?

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