Previous GATE Questions

7 votes

7 answers

1

GATE2020-CS-GA-1
Raman is confident of speaking English _______six months as he has been practising regularly_______the last three weeks during, for for, since for, in within, for

Raman is confident of speaking English _______six months as he has been practising regularly_______the last three weeks during, for for, since for, in within, for

asked Feb 12 in Verbal Ability Arjun 2.4k views

1 vote

6 answers

2

GATE2020-CS-GA-2
His knowledge of the subject was excellent but his classroom performance was_______. extremely poor good desirable praiseworthy

His knowledge of the subject was excellent but his classroom performance was_______. extremely poor good desirable praiseworthy

asked Feb 12 in Verbal Ability Arjun 1.6k views

4 votes

6 answers

3

GATE2020-CS-GA-3
Select the word that fits the analogy: Cook : Cook :: Fly : _______ Flyer Flying Flew Flighter

Select the word that fits the analogy: Cook : Cook :: Fly : _______ Flyer Flying Flew Flighter

asked Feb 12 in Verbal Ability Arjun 2.3k views

1 vote

4 answers

4

GATE2020-CS-GA-4
The dawn of the $21$st century witnessed the melting glaciers oscillating between giving too much and too little to billions of people who depend on them for fresh water. The UN climate report estimates that without deep cuts to man-made emissions ... billions of people. Billions of people are responsible foe man-made emissions. Billions of people are affected by melting glaciers.

The dawn of the $21$st century witnessed the melting glaciers oscillating between giving too much and too little to billions of people who depend on them for fresh water. The UN climate report estimates that without deep cuts to man-made emissions, at ... water to billions of people. Billions of people are responsible foe man-made emissions. Billions of people are affected by melting glaciers.

asked Feb 12 in Verbal Ability Arjun 1.2k views

4 votes

2 answers

5

GATE2020-CS-GA-5
There are multiple routes to reach from node $1$ to node $2$, as shown in the network. The cost of travel on an edge between two nodes is given in rupees. Nodes a', b', c', d', e', and f' are toll booths. The toll price at toll booths marked a' and e' is Rs. $200$ ... toll booths. Which is the cheapest route from node $1$ to node $2$? $1-a-c-2$ $1-f-b-2$ $1-b-2$ $1-f-e-2$

There are multiple routes to reach from node $1$ to node $2$, as shown in the network. The cost of travel on an edge between two nodes is given in rupees. Nodes a', b', c', d', e', and f' are toll booths. The toll price at toll booths marked a' and e' is Rs. $200$, and is ... the other toll booths. Which is the cheapest route from node $1$ to node $2$? $1-a-c-2$ $1-f-b-2$ $1-b-2$ $1-f-e-2$

asked Feb 12 in Verbal Ability Arjun 1.1k views

6 votes

5 answers

6

GATE2020-CS-GA-6
Goods and Services Tax (GST) is an indirect tax introduced in India in $2017$ that is imposed on the supply of goods and services, and it subsumes all indirect taxes except few. It is a destination-based tax imposed on goods and services used, and it is ... all indirect taxes. GST does not have a component specific to UT. GST is imposed at the point of usage of goods and services.

Goods and Services Tax (GST) is an indirect tax introduced in India in $2017$ that is imposed on the supply of goods and services, and it subsumes all indirect taxes except few. It is a destination-based tax imposed on goods and services used, and it is not ... includes all indirect taxes. GST does not have a component specific to UT. GST is imposed at the point of usage of goods and services.

asked Feb 12 in Verbal Ability Arjun 876 views

2 votes

5 answers

7

GATE2020-CS-GA-7
If $P = 3$, $R = 27$, $T = 243$, then $Q + S =$ ________ $40$ $80$ $90$ $110$

If $P = 3$, $R = 27$, $T = 243$, then $Q + S =$ ________ $40$ $80$ $90$ $110$

asked Feb 12 in Verbal Ability Arjun 2k views

2 votes

3 answers

8

GATE2020-CS-GA-8
The figure below shows an annular ring with outer and inner as $b$ and $a$, respectively. The annular space has been painted in the form of blue colour circles touching the outer and inner periphery of annular space. If maximum $n$ number of circles can be painted, then the unpainted area available in annular space ... $\pi [(b^{2}-a^{2})+n(b-a)^{2}]$

The figure below shows an annular ring with outer and inner as $b$ and $a$, respectively. The annular space has been painted in the form of blue colour circles touching the outer and inner periphery of annular space. If maximum $n$ ... $\pi [(b^{2}-a^{2})+n(b-a)^{2}]$

asked Feb 12 in Verbal Ability Arjun 1.1k views

3 votes

4 answers

9

GATE2020-CS-GA-9
Two straight lines are drawn perpendicular to each other in $X-Y$ plane. If $\alpha$ and $\beta$ are the acute angles the straight lines make with the $\text{X-}$ axis, then $\alpha + \beta$ is_______. $60^{\circ}$ $90^{\circ}$ $120^{\circ}$ $180^{\circ}$

Two straight lines are drawn perpendicular to each other in $X-Y$ plane. If $\alpha$ and $\beta$ are the acute angles the straight lines make with the $\text{X-}$ axis, then $\alpha + \beta$ is_______. $60^{\circ}$ $90^{\circ}$ $120^{\circ}$ $180^{\circ}$

asked Feb 12 in Numerical Ability Arjun 1.5k views

4 votes

3 answers

10

GATE2020-CS-GA-10
The total revenue of a company during $2014-2018$ is shown in the bar graph. If the total expenditure of the company in each year is $500$ million rupees, then the aggregate profit or loss (in percentage) on the total expenditure of the company during $2014-2018$ is ___________. $16.67 \%$ profit $16.67 \%$ loss $20 \%$ profit $20 \%$ loss

The total revenue of a company during $2014-2018$ is shown in the bar graph. If the total expenditure of the company in each year is $500$ million rupees, then the aggregate profit or loss (in percentage) on the total expenditure of the company during $2014-2018$ is ___________. $16.67 \%$ profit $16.67 \%$ loss $20 \%$ profit $20 \%$ loss

asked Feb 12 in Verbal Ability Arjun 1.2k views

7 votes

4 answers

11

GATE2020-CS-1
Consider the functions $e^{-x}$ $x^{2}-\sin x$ $\sqrt{x^{3}+1}$ Which of the above functions is/are increasing everywhere in $[ 0,1]$? Ⅲ only Ⅱ only Ⅱ and Ⅲ only Ⅰ and Ⅲ only

Consider the functions $e^{-x}$ $x^{2}-\sin x$ $\sqrt{x^{3}+1}$ Which of the above functions is/are increasing everywhere in $[ 0,1]$? Ⅲ only Ⅱ only Ⅱ and Ⅲ only Ⅰ and Ⅲ only

asked Feb 12 in Mathematical Logic Arjun 2.1k views

6 votes

4 answers

12

GATE2020-CS-2
For parameters $a$ and $b$, both of which are $\omega(1)$, $T(n) = T(n^{1/a})+1$, and $T(b)=1$. Then $T(n)$ is $\Theta (\log_a \log _b n)$ $\Theta (\log_{ab} n$) $\Theta (\log_{b} \log_{a} \: n$) $\Theta (\log_{2} \log_{2} n$)

For parameters $a$ and $b$, both of which are $\omega(1)$, $T(n) = T(n^{1/a})+1$, and $T(b)=1$. Then $T(n)$ is $\Theta (\log_a \log _b n)$ $\Theta (\log_{ab} n$) $\Theta (\log_{b} \log_{a} \: n$) $\Theta (\log_{2} \log_{2} n$)

asked Feb 12 in Algorithms Arjun 3.4k views

5 votes

2 answers

13

GATE2020-CS-3
Consider the following statements. Daisy chaining is used to assign priorities in attending interrupts. When a device raises a vectored interrupt, the CPU does polling to identify the source of interrupt. In polling,the CPU periodically checks the status bits to know if any device needs ... time. Which of the above statements is/are TRUE? Ⅰ and Ⅱ only Ⅰ and Ⅳ only Ⅰ and Ⅲ only Ⅲ only

Consider the following statements. Daisy chaining is used to assign priorities in attending interrupts. When a device raises a vectored interrupt, the CPU does polling to identify the source of interrupt. In polling,the CPU periodically checks the status bits to know if any device needs its ... same time. Which of the above statements is/are TRUE? Ⅰ and Ⅱ only Ⅰ and Ⅳ only Ⅰ and Ⅲ only Ⅲ only

asked Feb 12 in CO and Architecture Arjun 1.8k views

3 votes

6 answers

14

GATE2020-CS-4
Consider the following data path diagram. Consider an instruction: $R0 \leftarrow R1 +R2$. The following steps are used to execute it over the given data path. Assume that PC is incremented appropriately. The subscripts $r$ and $w$ ... execution of the above steps? $2,1,4,5,3$ $1,2,4,3,5$ $3,5,2,1,4$ $3,5,1,2,4$

Consider the following data path diagram. Consider an instruction: $R0 \leftarrow R1 +R2$. The following steps are used to execute it over the given data path. Assume that PC is incremented appropriately. The subscripts $r$ and $w$ ... of execution of the above steps? $2,1,4,5,3$ $1,2,4,3,5$ $3,5,2,1,4$ $3,5,1,2,4$

asked Feb 12 in CO and Architecture Arjun 1.5k views

2 votes

5 answers

15

GATE2020-CS-5
The preorder traversal of a binary search tree is $15, 10, 12, 11, 20, 18, 16, 19$. Which one of the following is the postorder traversal of the tree? $10,11,12,15,16,18,19,20$ $11,12,10,16,19,18,20,15$ $20,19,18,16,15,12,11,10$ $19,16,18,20,11,12,10,15$

The preorder traversal of a binary search tree is $15, 10, 12, 11, 20, 18, 16, 19$. Which one of the following is the postorder traversal of the tree? $10,11,12,15,16,18,19,20$ $11,12,10,16,19,18,20,15$ $20,19,18,16,15,12,11,10$ $19,16,18,20,11,12,10,15$

asked Feb 12 in DS Arjun 2.5k views

1 vote

3 answers

16

GATE2020-CS-6
What is the worst case time complexity of inserting $n^{2}$ elements into an AVL-tree with $n$ elements initially? $\Theta (n^{4})$ $\Theta (n^{2})$ $\Theta (n^{2}\log n)$ $\Theta (n^{3})$

What is the worst case time complexity of inserting $n^{2}$ elements into an AVL-tree with $n$ elements initially? $\Theta (n^{4})$ $\Theta (n^{2})$ $\Theta (n^{2}\log n)$ $\Theta (n^{3})$

asked Feb 12 in Algorithms Arjun 1.6k views

7 votes

5 answers

17

GATE2020-CS-7
Which one of the following regular expressions represents the set of all binary strings with an odd number of $1’$s? $((0+1)^*1(0+1)^*1)^*10^*$ $(0^*10^*10^*)^*0^*1$ $10^*(0^*10^*10^*)^*$ $(0^*10^*10^*)^*10^*$

Which one of the following regular expressions represents the set of all binary strings with an odd number of $1’$s? $((0+1)^*1(0+1)^*1)^*10^*$ $(0^*10^*10^*)^*0^*1$ $10^*(0^*10^*10^*)^*$ $(0^*10^*10^*)^*10^*$

asked Feb 12 in Theory of Computation Arjun 3.2k views

2 votes

4 answers

18

GATE2020-CS-8
Consider the following statements. If $L_1 \cup L_2$ is regular, then both $L_1$ and $L_2$ must be regular. The class of regular languages is closed under infinite union. Which of the above statements is/are TRUE? Ⅰ only Ⅱ only Both Ⅰ and Ⅱ Neither Ⅰ nor Ⅱ

Consider the following statements. If $L_1 \cup L_2$ is regular, then both $L_1$ and $L_2$ must be regular. The class of regular languages is closed under infinite union. Which of the above statements is/are TRUE? Ⅰ only Ⅱ only Both Ⅰ and Ⅱ Neither Ⅰ nor Ⅱ

asked Feb 12 in Theory of Computation Arjun 1.6k views

10 votes

4 answers

19

GATE2020-CS-9
Consider the following statements. Symbol table is accessed only during lexical analysis and syntax analysis. Compilers for programming languages that support recursion necessarily need heap storage for memory allocation in the run-time environment. Errors violating the condition any variable must ... the above statements is/are TRUE? I only I and III only Ⅱ only None of Ⅰ, Ⅱ and Ⅲ

Consider the following statements. Symbol table is accessed only during lexical analysis and syntax analysis. Compilers for programming languages that support recursion necessarily need heap storage for memory allocation in the run-time environment. Errors violating the condition any variable must be ... of the above statements is/are TRUE? I only I and III only Ⅱ only None of Ⅰ, Ⅱ and Ⅲ

asked Feb 12 in Compiler Design Arjun 2k views

3 votes

4 answers

20

GATE2020-CS-10
Consider the language $L = \{a^{n}\mid n \geq 0\} \cup \{a^{n}b^{n}\mid n \geq 0\}$ and the following statements. $L$ is deterministic context-free. $L$ is context-free but not deterministic context-free. $L$ is not $LL(k)$ for any $k$. Which of the above statements is/are TRUE? Ⅰ only Ⅱ only Ⅰ and Ⅲ only Ⅲ only

Consider the language $L = \{a^{n}\mid n \geq 0\} \cup \{a^{n}b^{n}\mid n \geq 0\}$ and the following statements. $L$ is deterministic context-free. $L$ is context-free but not deterministic context-free. $L$ is not $LL(k)$ for any $k$. Which of the above statements is/are TRUE? Ⅰ only Ⅱ only Ⅰ and Ⅲ only Ⅲ only

asked Feb 12 in Theory of Computation Arjun 1.9k views

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