GATE ECE Analytical Aptitude PYQs & Answers

Questions 1–10 of 14. Imported answers require independent review unless marked reviewed.

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?

Your answerChoose one option.

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.

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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:

	TEAM 1	TEAM 2
MATCH 1	P and X	Q and R
MATCH 2	P and R	X and Y
MATCH 3	R and X	Q and Y

Which one of the following options is correct?

Your answerChoose one option.

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

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Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.

After the 1st round, 4th student behind P leaves the game. After 2nd round, 5th student behind Q leaves the game. After 3rd round, 3rd student behind V leaves the game. After 4th round, 4th student behind U leaves the game. Who are left in the game after the 4th round?

Note: The figure shown is representative.

Diagram for Electronics and Communication Engineering question 8

Your answerChoose one option.

P; T; Q; S

V; P; T; Q

W; R; Q; V

Q; T; V; W

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P, Q, R, S, and T have launched a new startup. Two of them are siblings. The office of the startup has just three rooms. All of them agree that the siblings should not share the same room.

If S and Q are single children, and the room allocations shown below are acceptable to all,

[Room allocations: first arrangement—room 1: P, R; room 2: T, S; room 3: Q. Second arrangement—room 1: P, Q; room 2: R, T; room 3: S.]

then, which one of the given options is the siblings?

Your answerChoose one option.

P and T

P and S

T and Q

T and R

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Courts : _______ :: Parliament : Legislature (By word meaning)

Your answerChoose one option.

Judiciary

Execute

Governmental

Legal

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Forestand is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures that have claws are ferocious.

Based only on the information provided above, which one of the following options can be logically inferred with certainty?

Your answerChoose one option.

All creatures with claws are animals.

Some creatures with claws are non-ferocious.

Some non-ferocious creatures have claws.

Some ferocious creatures are creatures with claws.

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In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.

Statement of P: R has copied in the exam.

Statement of Q: S has copied in the exam.

Statement of R: P did not copy in the exam.

Statement of S: Only one of us is telling the truth.

Statement of T: R is telling the truth.

The investigating team had authentic information that S never lies.

Based on the information given above, the person who has copied in the exam is

Your answerChoose one option.

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Given below are two statements and two conclusions. Statement 1: All purple are green. Statement 2: All black are green. Conclusion I: Some black are purple. Conclusion II: No black is purple. Based on the above statements and conclusions, which one of the following options is logically CORRECT?

Your answerChoose one option.

Only conclusion I is correct.

Only conclusion II is correct.

Either conclusion I or II is correct.

Both conclusion I and II are correct.

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Four people are standing in a line facing you. They are Rahul, Mathew, Seema and Lohit. One is an engineer, one is a doctor, one a teacher and another a dancer. You are told that:

Mathew is not standing next to Seema

There are two people standing between Lohit and the engineer

Rahul is not a doctor

The teacher and the dancer are standing next to each other

Seema is turning to her right to speak to the doctor standing next to her Who among them is an engineer?

Your answerChoose one option.

Seema

Lohit

Rahul

Mathew

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Five people P, Q, R, S and T work in a bank. P and Q don’t like each other but have to share an office till T gets a promotion and moves to the big office next to the garden. R, who is currently sharing an office with T wants to move to the adjacent office with S, the handsome new intern. Given the floor plan, what is the current location of Q, R and T? (O = Office, WR = Washroom)

Your answerChoose one option.