Computer Science and Information Technology - GATE 2020 Paper Solution


Raman is confident of speaking English_______six months as he has been practising regularly______the last three weeks.

His knowledge of the subject was excellent but his classroom performance was_______.

Select the word that fits the analogy:

Cook : Cook :: Fly : ______

The dawn of the 21st 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 least 30% of the northern hemisphere's surface permafrost could melt by the end of the cemtury. Given this situation of imminent global exodus of billions of people displaced by rising seas, nation-states need to rethink their carbon footprint for political conerns, if not for enviornmental ones.

Which one of the following statements can be inferred from given passage?

There are multiple routes to reach from node1 to node 2, as shown in the network.

The cost 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' Rs. 200, and is Rs. 100 for the other toll booths. Which is the cheapest route from node 1 to note 2 ?

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 servies used, and it is not imposed at the point of origin from where goods come. GST also has a few components specific to state governments, central government and Union Territories (UTs).

Which one of the following statements can be inferred from the given passage ?

If P = 3, R = 27, T = 243, then Q + S = ________.

The figure below shown an annular ring with outer and inner radii 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 is______.

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 X-axis, the $\alpha+\beta$ is _______.

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______.

Consider the functions

$ \;\;\mathrm I.\;\;\;e^{-x}\\\;\mathrm{II}.\;\;x^2-\sin\;x\\\mathrm{III}.\;\sqrt{x^3+1} $

Which of the above functions is/are increasing everywhere in [0,1]?

For parameters $a$ and $b$, both of which are $ \omega(1),T(n)=T(n^{1/a})+1,\;\mathrm{and}\;T(b)=1.\;\mathrm{Then}\;T(n)\;\mathrm{is} $

Consider the following statements.

I. Daisy chaining is used to assign priorities in attending interrupts.

II. When a device raises a vectored interrupt, the CPU does polling to identify the source of interrupt.

III. In polling, the CPU periodically checks the status bits to know if any device needs its attention.

IV. During DMA, both the CPU and DMA controller can be bus masters at the same time.

Which of the above statement is/are TRUE ?

Consider the following data path diagram.

Consider an instruction: R0 ← R1 + R2. The following steps are used to execute it over the given data path. Assume that PC is incremented approprioately. The subscripts r and w indicate read write operations, respectively.

1. R2r, TEMP1r, ALUadd, TEMP2w

2. R1r, TEMP1w

3. PCr, MARw, MEMr

4. TEMP2r, R0w

5. MDRr IRw

Which one of the following is the correct order of execution of the above steps ?

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?

What is the worst case time complexity of inserting n2 elements into an AVL-tree with n elements intially ?

Which one of the following regular expressions represents the set of all binary strings with an odd number of 1's ?

Consider the following statements.

 I. If $L_1\cup L_2$ is regular, then both L1 and L2 must be regular.

II. The class of regular languages is closed under infinite union.

Which of the above statements is/are TRUE ?

Consider the following statements.

I. Symbol table is accessed only during lexical analysis and syntax analysis.

II. Compilers for programming languages that support recursion necessarily need heap storage for memory allocation in the run-time environment.

III. Errors violating the condition 'any variable must be declared before its use' are detected during syntax analysis.

Which of the above statement is/are TRUE ?

Consider the language $ L=\left\{a^n\vert n\geq0\right\}\cup\left(a^nb^n\vert n\geq0\right) $ and the following statements.

I. L is deterministic context-free.

II. L is context-free but not deterministic context-free.

III. L is not LL(k) for any k.

Which of the above statements is/are TRUE ?