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1

GATE CSE 2021 Set 2 | GA Question: 1
Gauri said that she can play the keyboard __________ her sister. as well as as better as as nicest as as worse as

Gauri said that she can play the keyboard __________ her sister. as well as as better as as nicest as as worse as

asked Feb 18 in Verbal Aptitude Arjun 1.3k views

0 votes

1 answer

2

GATE CSE 2021 Set 2 | GA Question: 2
A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ___________.

A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ___________.

asked Feb 18 in Spatial Aptitude Arjun 339 views

0 votes

2 answers

3

GATE CSE 2021 Set 2 | GA Question: 3
If $\theta$ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then, $\cos \theta =$ $\frac{1}{2} \\$ $\frac{1}{\sqrt{3}} \\$ $\frac{1}{\sqrt{2}} \\$ $\frac{\sqrt{3}}{2}$

If $\theta$ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then, $\cos \theta =$ $\frac{1}{2} \\$ $\frac{1}{\sqrt{3}} \\$ $\frac{1}{\sqrt{2}} \\$ $\frac{\sqrt{3}}{2}$

asked Feb 18 in Quantitative Aptitude Arjun 384 views

3 votes

3 answers

4

GATE CSE 2021 Set 2 | GA Question: 4
If $\left( x – \dfrac{1}{2} \right)^2 – \left( x- \dfrac{3}{2} \right) ^2 = x+2$, then the value of $x$ is: $2$ $4$ $6$ $8$

If $\left( x – \dfrac{1}{2} \right)^2 – \left( x- \dfrac{3}{2} \right) ^2 = x+2$, then the value of $x$ is: $2$ $4$ $6$ $8$

asked Feb 18 in Quantitative Aptitude Arjun 330 views

0 votes

2 answers

5

GATE CSE 2021 Set 2 | GA Question: 5
$\text{Pen : Write :: Knife :}$ _______ Which one of the following options maintains a similar logical relation in the above? Vegetables Sharp Cut Blunt

$\text{Pen : Write :: Knife :}$ _______ Which one of the following options maintains a similar logical relation in the above? Vegetables Sharp Cut Blunt

asked Feb 18 in Verbal Aptitude Arjun 378 views

1 vote

3 answers

6

GATE CSE 2021 Set 2 | GA Question: 6
Listening to music during exercise improves performance and reduces discomfort. Scientists researched whether listening to music while studying can help students learn better and the results were inconclusive. Students who needed external stimulation for ... effect on learning in all students. Music has a positive effect only in some students who exercise

Listening to music during exercise improves performance and reduces discomfort. Scientists researched whether listening to music while studying can help students learn better and the results were inconclusive. Students who needed external stimulation for studying fared worse while ... clear positive effect on learning in all students. Music has a positive effect only in some students who exercise

asked Feb 18 in Verbal Aptitude Arjun 403 views

1 vote

1 answer

7

GATE CSE 2021 Set 2 | GA Question: 7
A jigsaw puzzle has $2$ pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

A jigsaw puzzle has $2$ pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

asked Feb 18 in Spatial Aptitude Arjun 367 views

1 vote

2 answers

8

GATE CSE 2021 Set 2 | GA Question: 8
The number of students in three classes is in the ratio $3:13:6$. If $18$ students are added to each class, the ratio changes to $15:35:21$. The total number of students in all the three classes in the beginning was: $22$ $66$ $88$ $110$

The number of students in three classes is in the ratio $3:13:6$. If $18$ students are added to each class, the ratio changes to $15:35:21$. The total number of students in all the three classes in the beginning was: $22$ $66$ $88$ $110$

asked Feb 18 in Quantitative Aptitude Arjun 367 views

1 vote

1 answer

9

GATE CSE 2021 Set 2 | GA Question: 9
The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in Year $3$ was Re. $1$, which was half the cost/unit in Year $2$. The cost/unit in Year $3$ was one-third of the ... the selling price in Year $2$ to the selling price in Year $3$ is _________. $4:3$ $1:1$ $3:4$ $1:2$

The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in Year $3$ was Re. $1$, which was half the cost/unit in Year $2$. The cost/unit in Year $3$ was one-third of the cost/unit in Year $1$. ... The ratio of the selling price in Year $2$ to the selling price in Year $3$ is _________. $4:3$ $1:1$ $3:4$ $1:2$

asked Feb 18 in Quantitative Aptitude Arjun 286 views

0 votes

2 answers

10

GATE CSE 2021 Set 2 | GA Question: 10
Six students $\text{P, Q, R, S, T and U}$, with distinct heights, compare their heights and make the following observations. $\text{Observation I}$: $S$ is taller than $R$. $\text{Observation II}$: $Q$ ... of students that are taller than $R$ is the same as the number of students shorter than ____________. $T$ $R$ $S$ $P$

Six students $\text{P, Q, R, S, T and U}$, with distinct heights, compare their heights and make the following observations. $\text{Observation I}$: $S$ is taller than $R$. $\text{Observation II}$: $Q$ is the shortest of all. $\text{Observation III}$: $U$ is ... tallest The number of students that are taller than $R$ is the same as the number of students shorter than ____________. $T$ $R$ $S$ $P$

asked Feb 18 in Analytical Aptitude Arjun 284 views

3 votes

3 answers

11

GATE CSE 2021 Set 2 | Question: 1
Let $G$ be a connected undirected weighted graph. Consider the following two statements. $S_1$: There exists a minimum weight edge in $G$ which is present in every minimum spanning tree of $G$. $S_2$: If every edge in $G$ has distinct weight, then $G$ has a ... are true $S_1$ is true and $S_2$ is false $S_1$ is false and $S_2$ is true Both $S_1$ and $S_2$ are false

Let $G$ be a connected undirected weighted graph. Consider the following two statements. $S_1$: There exists a minimum weight edge in $G$ which is present in every minimum spanning tree of $G$. $S_2$: If every edge in $G$ has distinct weight, then $G$ has a unique minimum spanning ... $S_1$ is true and $S_2$ is false $S_1$ is false and $S_2$ is true Both $S_1$ and $S_2$ are false

asked Feb 18 in Algorithms Arjun 732 views

1 vote

3 answers

12

GATE CSE 2021 Set 2 | Question: 2
Let $H$ be a binary min-heap consisting of $n$ elements implemented as an array. What is the worst case time complexity of an optimal algorithm to find the maximum element in $H$? $\Theta (1)$ $\Theta (\log n)$ $\Theta (n)$ $\Theta (n \log n)$

Let $H$ be a binary min-heap consisting of $n$ elements implemented as an array. What is the worst case time complexity of an optimal algorithm to find the maximum element in $H$? $\Theta (1)$ $\Theta (\log n)$ $\Theta (n)$ $\Theta (n \log n)$

asked Feb 18 in DS Arjun 378 views

5 votes

6 answers

13

GATE CSE 2021 Set 2 | Question: 3
Consider the following $\text{ANSI C}$ program: int main () { Integer x; return 0; } Which one of the following phases in a seven-phase $C$ compiler will throw an error? Lexical analyzer Syntax analyzer Semantic analyzer Machine dependent optimizer

Consider the following $\text{ANSI C}$ program: int main () { Integer x; return 0; } Which one of the following phases in a seven-phase $C$ compiler will throw an error? Lexical analyzer Syntax analyzer Semantic analyzer Machine dependent optimizer

asked Feb 18 in Compiler Design Arjun 1.9k views

1 vote

2 answers

14

GATE CSE 2021 Set 2 | Question: 4
The format of the single-precision floating point representation of a real number as per the $\text{IEEE 754}$ ... and mantissa $=0000000000000000000000001$ exponent $=00000001$ and mantissa $=0000000000000000000000000$ exponent $=00000001$ and mantissa $=0000000000000000000000001$

The format of the single-precision floating point representation of a real number as per the $\text{IEEE 754}$ ... $=00000000$ and mantissa $=0000000000000000000000001$ exponent $=00000001$ and mantissa $=0000000000000000000000000$ exponent $=00000001$ and mantissa $=0000000000000000000000001$

asked Feb 18 in Digital Logic Arjun 355 views

1 vote

3 answers

15

GATE CSE 2021 Set 2 | Question: 5
Which one of the following circuits implements the Boolean function given below? $f(x,y,z) = m_0+m_1+m_3+m_4+m_5+m_6$, where $m_i$ is the $i^{\text{th}}$ minterm.

Which one of the following circuits implements the Boolean function given below? $f(x,y,z) = m_0+m_1+m_3+m_4+m_5+m_6$, where $m_i$ is the $i^{\text{th}}$ minterm.

asked Feb 18 in Digital Logic Arjun 344 views

0 votes

1 answer

16

GATE CSE 2021 Set 2 | Question: 6
Consider the following statements $S1$ and $S2$ about the relational data model: $S1$: A relation scheme can have at most one foreign key. $S2$: A foreign key in a relation scheme $R$ cannot be used to refer to tuples of $R.$ Which one of the following choices ... are true $S1$ is true and $S2$ is false $S1$ is false and $S2$ is true Both $S1$ and $S2$ are false

Consider the following statements $S1$ and $S2$ about the relational data model: $S1$: A relation scheme can have at most one foreign key. $S2$: A foreign key in a relation scheme $R$ cannot be used to refer to tuples of $R.$ Which one of the following choices is correct? Both $S1$ and $S2$ are true $S1$ is true and $S2$ is false $S1$ is false and $S2$ is true Both $S1$ and $S2$ are false

asked Feb 18 in Databases Arjun 357 views

1 vote

2 answers

17

GATE CSE 2021 Set 2 | Question: 7
Consider the three-way handshake mechanism followed during $\text{TCP}$ connection establishment between hosts $P$ and $Q$. Let $X$ and $Y$ be two random $32$-bit starting sequence numbers chosen by $P$ and $Q$ respectively. Suppose $P$ sends a $\text{TCP}$ connection request ... $=Y$, $\text{ACK}$ bit $=1$, $\text{ACK}$ number $=X$, $\text{FIN}$ bit $=0$

Consider the three-way handshake mechanism followed during $\text{TCP}$ connection establishment between hosts $P$ and $Q$. Let $X$ and $Y$ be two random $32$-bit starting sequence numbers chosen by $P$ and $Q$ respectively. Suppose $P$ sends a $\text{TCP}$ connection request message to $Q$ with a ... $\text{SEQ}$ number $=Y$, $\text{ACK}$ bit $=1$, $\text{ACK}$ number $=X$, $\text{FIN}$ bit $=0$

asked Feb 18 in Computer Networks Arjun 302 views

0 votes

1 answer

18

GATE CSE 2021 Set 2 | Question: 8
What is the worst-case number of arithmetic operations performed by recursive binary search on a sorted array of size $n$? $\Theta ( \sqrt{n})$ $\Theta (\log _2(n))$ $\Theta(n^2)$ $\Theta(n)$

What is the worst-case number of arithmetic operations performed by recursive binary search on a sorted array of size $n$? $\Theta ( \sqrt{n})$ $\Theta (\log _2(n))$ $\Theta(n^2)$ $\Theta(n)$

asked Feb 18 in Algorithms Arjun 344 views

1 vote

1 answer

19

GATE CSE 2021 Set 2 | Question: 9
Let $L \subseteq \{0,1\}^*$ be an arbitrary regular language accepted by a minimal $\text{DFA}$ with $k$ states. Which one of the following languages must necessarily be accepted by a minimal $\text{DFA}$ with $k$ states? $L-\{01\}$ $L \cup \{01\}$ $\{0,1\}^* – L$ $L \cdot L$

Let $L \subseteq \{0,1\}^*$ be an arbitrary regular language accepted by a minimal $\text{DFA}$ with $k$ states. Which one of the following languages must necessarily be accepted by a minimal $\text{DFA}$ with $k$ states? $L-\{01\}$ $L \cup \{01\}$ $\{0,1\}^* – L$ $L \cdot L$

asked Feb 18 in Theory of Computation Arjun 338 views

0 votes

2 answers

20

GATE CSE 2021 Set 2 | Question: 10
Consider the following $\text{ANSI C}$ program. #include <stdio.h> int main( ) { int arr[4][5]; int i, j; for (i=0; i<4; i++) { for (j=0; j<5; j++) { arr[i][j] = 10 * i + j; } } printf(“%d”, *(arr[1]+9)); return 0; } What is the output of the above program? $14$ $20$ $24$ $30$

Consider the following $\text{ANSI C}$ program. #include <stdio.h> int main( ) { int arr[4][5]; int i, j; for (i=0; i<4; i++) { for (j=0; j<5; j++) { arr[i][j] = 10 * i + j; } } printf(“%d”, *(arr[1]+9)); return 0; } What is the output of the above program? $14$ $20$ $24$ $30$

asked Feb 18 in Programming Arjun 412 views

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