What topics are covered on Page 4 of GATE 2026 Electronics and Communication Engineering?

Page 4 contains Questions 40 to 52. It begins with Engineering Mathematics questions on convergence of series and double integration. The majority of the page contains General Aptitude questions on vocabulary, logical inference, visual reasoning, logarithms, arrangements, geometry and quantitative aptitude, followed by a circuit-analysis question.

Which Engineering Mathematics topics appear on GATE 2026 ECE Page 4?

The Engineering Mathematics portion includes convergence of infinite series and evaluation of a double integral over a specified region.

What is the antonym of nocturnal in the GATE 2026 ECE aptitude question?

The antonym of nocturnal is diurnal.

What is P1 + P2 + ... + P10 when Pk is the perimeter of a square of side k?

Since the perimeter of a square of side k is 4k, the required sum is 4(1+2+...+10) = 4 × 55 = 220.

What kinds of General Aptitude questions appear on GATE 2026 ECE Page 4?

The aptitude section includes vocabulary, statement-based logic, missing-figure reasoning, logarithms, negation of quantified statements, word clues, family and tournament arrangements, arithmetic series, area ratios and spatial reasoning.

Electronics and Communication Gate 2026 Questions with Answer

1 2 3 4 5

Ques 40 GATE 2026

Consider the two series, S_A and S_B, where
S_A = Σ_n=1^∞ n²/2ⁿ
S_B = 1 + 1/2 + 1/8 + 1/16 + 1/64 + 1/128 + 1/512 + ⋯
Which of the following statements is correct for the two given series?

Both S_A and S_B converge.

Neither S_A nor S_B converges.

S_A converges but S_B does not converge.

S_B converges but S_A does not converge.

() is the correct answer.

Ques 41 GATE 2026

Consider the square region R in the X-Y plane as shown with the dark shading in the Figure. The value of ∬_R (x² + y² − 1)dxdy is ____.
(rounded off to two decimal places)

() is the correct answer.

Ques 42 GATE 2026

Among the following options, the antonym of the word ‘nocturnal’ is _________.

normal

diurnal

abnormal

exceptional

() is the correct answer.

Ques 43 GATE 2026

The statements (S1), (S2), and (S3) pertain to the scores obtained by students in an exam. The maximum possible marks in the exam is 150.
(S1) The highest score is 100.
(S2) The fourth highest score is 76.
(S3) There are at least four students whose scores are within 25 of each other.
Which one of the following options is necessarily correct?

(S1) and (S2) together imply (S3)

(S1) and (S3) together imply (S2)

(S2) and (S3) together imply (S1)

(S1) implies (S3)

() is the correct answer.

Ques 44 GATE 2026

The figure below has exactly three intersecting line segments with a rectangular portion WXYZ missing. Which one of the following options P, Q, R, and S is the missing portion WXYZ?

() is the correct answer.

Ques 45 GATE 2026

Real numbers y, p, and n (all greater than 1) satisfy
(log_p^1/n y)(log_y^1/n p) = 16,
where the logarithms are taken to the bases p^1/n and y^1/n.
The value of n is ________

() is the correct answer.

Ques 46 GATE 2026

The following observation is made about the scores obtained by 100 students in an exam:
‘For each student, there exists another student in the class such that their scores are at most ten marks away.’
If the above statement is false, which one of the following statements is necessarily true?

For each student, the scores of all the other students are more than 10 marks away.

There exists at least one student in the class for whom the scores of all the other students are more than 10 marks away.

There is exactly one student in the class for whom the scores of some students are more than 10 marks away.

For each student, the score of exactly one other student is more than 10 marks away.

() is the correct answer.

Ques 47 GATE 2026

Each one of the following clues contains a keyword that is partially filled.
Clue 1: Synonym of recognize (8 letters): _D_NT_FY
Clue 2: A story long enough to fill a book (5 letters): _ _ _EL
Clue 3: Two of something (6 letters): _ _ _PLE
Clue 4: A fraction of something, split equally into two parts (4 letters): _ _ _F
The first letter of each of the keywords can be rearranged to form a four-letter word.
Which one of the options below is a possible choice for the four-letter word?

CHIN

COIN

ITCH

NOSE

() is the correct answer.

Ques 48 GATE 2026

Three children P, Q, R and two grown-ups X, Y play a badminton doubles tournament. X and Y are parents to two of the children playing. The child of X is not the same as the child of Y. Exactly one of the children does not have a parent playing in the tournament. The following rules are followed:
(i) A parent and his/her child cannot be on the same team.
(ii) A match can feature at most one parent and his/her child, that is, a maximum of one parent-child pair can play in a match.
The following matches were played:

Which one of the following options is correct?

P does not have any parent playing

Q does not have any parent playing

R does not have any parent playing

X does not have a child playing

() is the correct answer.

Ques 49 GATE 2026

Let P_k represent the perimeter of a square with sides of length k. The value of the expression P₁ + P₂ + P₃ + ⋯ + P₁₀ is __________

110

220

440

() is the correct answer.

Ques 50 GATE 2026

The city of Atlantis was crafted by the God of the seas, Poseidon. It was made of alternating concentric circular rings of land (shaded) and water (not shaded) as represented in the figure (not to scale). The radius of Inner Island was 2.5 stades (a unit of length used in ancient Greece). The water surrounding Inner Island was one stade wide (length AB). This was surrounded by two pairs of alternating rings of land and water. The first pair of land and water was two stades wide each (lengths BC and CD), and the outer pair is three stades wide each (lengths DE and EF).

The ratio of the surface area of the land to that of the water in the city of Atlantis is _________ (round off to two decimal places).

0.45

0.60

0.75

0.90

() is the correct answer.

Ques 51 GATE 2026

() is the correct answer.

Ques 52 GATE 2026

The output voltage V_o (in Volt) for the network given in the Figure is __.
(rounded off to two decimal places)

() is the correct answer.

1 2 3 4 5

Total Unique Visitors

Loading......

Electronics & Communication Gate Yearwise

Electronics and Communication Gate 2026 Questions with Answer

Question Options

Sign in to ExamPrev