GATE Computer Science Engineering(CSE) 2027 Practice Test: Engineering

The sentence implies that his reactions to unpleasant situations annoyed everyone. The correct word to fill in the blank is aggravate as it means 'to annoy or exasperate'.

The meaning of the other words is:

Deviate: depart from an established course 

Revue: a light theatrical entertainment consisting of a series of short sketches, songs, and dances, typically dealing satirically with topical issues

Meander: wander at random

XY + Z = X(Y + Z)

⇒ XY + Z = XY + XZ

⇒ Z = XZ ⇒ Z - XZ = 0 ⇒ Z (1 - X) = 0

Either Z = 0 (in this case X can take any value) OR X = 1 (in this case Z can take any value).

X = 1 or Z = 0

XY + Z = X(Y + Z)

⇒ XY + Z = XY + XZ

⇒ Z = XZ ⇒ Z - XZ = 0 ⇒ Z (1 - X) = 0

Either Z = 0 (in this case X can take any value) OR X = 1 (in this case Z can take any value).

X = 1 or Z = 0

5 × 3 + 1 = 16

16 × 3 + 1 = 49

9 × 3 + 2 = 29

29 × 3 + 2 = 89

15 × 3 + 3 = 48

48 × 3 + 3 = 147

An ‘archipelago’ is ‘a group of islands’, i.e. it is it is formed of several ‘islands’. So the answer should be the option where the group of the latter word forms the former. Option 1 is incorrect as a group links forms a chain and not the other way round. Similarly, option C and D can be disqualified. An encyclopedia is ‘a book or set of books giving information on many subjects’. The correct answer is option B as many beads form a necklace.

Let the number of fruits in first basket is x

Fruits in 2^nd basket = x/2

Fruits in 3^rd basket = 3/4x

The passage points out that the oral form of vaccine will allow Swine Flu to be greatly reduced among the children who are more susceptible to catching the Flu (as compared to adults). Undoubtedly, the non painful method of oral vaccination is more likely to encourage the parents to get their children vaccinated who are skeptical of injections that cause pain. Thus, among all the given options, 4 strengthens the given argument. Options 1, 2 and 3 are completely irrelevant and 5 would weaken the argument as it cites the probable negative effects of the new vaccine which will definitely not encourage parents to get their children vaccinated.

Let, Rishabh has 'P' amount of money, Keshav has 'Q' amount of money, Lavish has 'R' amount of money, and Hemang has 'S' amount of money.

Therefore, according to the question

P < 3 × Q

R > Q,

S = R - Q

P = 3 × S

Also, Lavish borrows 300 from Rishabh and buys a goggle and Keshav buys a Sleeveless t-shirt after borrowing 100 from Rishabh and is left with no money. Implies that, 

Q = 600 - 100 (Rishabh) = 500

R ≥ 1000 - 300 (Rishabh) ≥ 700

Also, Rishabh buys three shorts means he has a minimum of 1000 (100 + 300 + 3 × 200 = 1000) and the maximum is less than 3Q.

Therefore, 1000 ≤ P < 3Q

1000 ≤ P < 3 × 500

1000 ≤ P < 1500

Since Rishabh has three times the money with Hemang

1000 ≤ 3 × S  < 1500

333 ≤  S  < 500

Hence, Hemang could buy a sleeper with his own money.

The sentence implies that I would not poke a soldier who was wearing a metal medal which was awarded for the display of determination.

The meaning of the words is:

Meddle: interfere in something that is not one's concern

Medal: a metal disc typically of the size of a large coin and bearing an inscription or design, made to commemorate an event or awarded as a distinction to someone such as a soldier or athlete

Mettle: a person's ability to cope well with difficulties; spirit and resilience

Therefore, the correct sequence of words to fill in the blanks is option 2.

Let PQR is the initial triangle and SQT is the final triangle.

ΔPQR is similar to ΔSQT

∵ ST = 0.75 PR

∴ SQ = 0.75 PQ

And QT = 0.75 QR

For the first drink press, the button labelled Random. We know this is NOT the Random button so if it dispenses Tea it is the Tea button likewise if it dispenses Coffee it is the Coffee button. From here it is simple to work out the other buttons knowing that they can't be what they say they are.

For a given string of length n, the number of possible suffixes = n+1

For example: In a string abcd, the suffixes are: ε, d, cd, bcd, abcd. Therefore, 5 suffixes are there in a string of length 4.

Hence, for a string of length 10, the number of suffixes is 11.

As the two matrices are equal, their corresponding elements are also equal.

Comparing the corresponding elements:

4k = 4 ⇒ k = 1

Sender’s sliding window size in Go – Back – n ARQ = 2ⁿ – 1

Sender’s sliding window size in Selective Repeat ARQ = 2^n-1

2ⁿ – 1 = 2^n-1

2ⁿ – 2^n-1 = 1

2ⁿ – 2ⁿ/2 = 1

2ⁿ⁺¹ – 2ⁿ = 2

R₁ and R₂ form a lossless decomposition of R if at least one of the following functional dependencies is in F:

• R₁ ∩ R₂ → R₁

• R₁ ∩ R₂ → R₂

In the given schema r(A, B, C, D, E), the candidate key is A because A⁺ = {A, B, C, D, E}

To store 1 element, 100 memory spaces are required.

To store 2 elements, 100 memory spaces are required.

.

.

.

To store n element, 100 memory spaces are required.

All Indians like watching Television: Ɐxc(x)

Negating the above expression

∼(Ɐxc(x))

Ǝx∼c(x)

The correct answer is option 3 i.e. A-3, B-1, C-2.

In a block code, the r check bits are computed solely as a function of the m data bits with which they are associated, as though the m bits were looked up in a large table to find their corresponding r check bits.

In a systematic code, the m data bits are sent directly, along with the check bits, rather than being encoded themselves before they are sent.

In a linear code, the r check bits are computed as a linear function of the m data bits. Exclusive OR (XOR) or modulo 2 addition is a popular choice.

Only statements S₁ and S₂ are true.

Context free languages are not closed under intersection. Also, regular languages are not closed under infinite union of regular languages.

Given, mean of 12 observation was found to be 28.

Mean = sum of observations/number of observations.

Sum of observations = 12 × 28 = 336

Now, it was detected that an observation 62 was misread as 26.

∴ Correct mean = 

Temporary values: stores the values that arise in the evaluation of an expression.

Machine status: holds the information about the status of a machine just before the function call.

Access link: points to non-local data stored in other activation records.

Control link: points to activation record of a caller.

bind is used to bind a name to socket.

int bind(int sockfd, const struct sockaddr *addr, socklen_t addrlen);

When a socket is created with socket(2), it exists in a name space (address family) but has no address assigned to it. bind() assigns the address specified by addr to the socket referred to by the file descriptor sockfd. addrlen specifies the size, in bytes, of the address structure pointed to by addr.

Note: The number of irreflexive relations on set A when |A| = n is 

Here |A| = 4

Therefore, total number of irreflexive relations = 

To narrow down the search space binary search uses mid   while interpolation search uses mid =

On average the interpolation search makes about log (log n) comparisons if the elements are uniformly distributed, where n is the number of elements to be searched.

M for men, W for women, E for employed & U for unemployed

P(M) = 0.5, P(W) = 0.5

P(U/M) = 0.2 & P(U/W) = 0.5

∴ Total probability is

P(U) = P(M). P(U/M) + P(W) ⋅ P(U/W)

⇒ P(U) = 0.35

∴ P(E) = 1 – P(U) = 1-0.35 = 0.65

Since we need to find the number of engineers communicating in the same language pairwise, the number of pairs that can be formed = 9.

By pigeonhole principle, there are ceil (9/3)  = 3  ​engineers communicating in the same language pairwise.

IEEE 802.11 wireless LANs use a media access control protocol called Carrier Sense Multiple Access with Collision Avoidance (CSMA/CA).

All WiFi networks are contention-based TDD systems, where the access point and the mobile stations all use the same channel. Because of the shared media operation, all WiFi networks are half duplex.

The correct answer is option 1 i.e. clustering index.

A clustering index is defined on an ordered data file. The data file is ordered on a non-key field. 

The primary index is defined on an ordered data file. The data file is ordered on a primary key field. 

A secondary index is defined on an unordered data file. It can be either a candidate key or some non-key field.

Out of the given languages, only D i.e. {www^R | w Є (a,b)*} is not a context free language.

Push down automata for all the other languages can be drawn.

Physical memory = 1024 MB = 1024 × 1024 × 1024 bytes = 2¹⁰ × 2¹⁰ × 2¹⁰ = 2³⁰

Hence, 30 bits are required to represent physical address.

Page size = 4 KB = 4 × 2¹⁰ = 2¹²

Number of frames =

Hence, 18 bits are required to represent frame number.

128 pages i.e. 2⁷ pages being accessed. Hence, 7 bit represent page number.