Computer Science And Information Technology - (CS) 2018 GATE Paper (Practice Test) - GATE MCQ

What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder of 7 in each case?

What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, _____, 0

In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift Rs 750 to each male senior citizen in the town and Rs 1000 to each female senior citizen. Altogether, there were 300 senior citizens eligible for this gift. However, only 8/9th of the eligible men and 2/3^rd of the eligible women claimed the gift. How much money (in Rupees) did the philanthropist give away in total?

what is the value of the product xyzr?

In a party, 60% of the invited guests are male and 40% are female. If 80% of the invited guests attended the party and if all the invited female guests attended, what would be the ratio of males to females among the attendees in the party?

In the figure below, ∠DEC + ∠BFC is equal to ____________ .

A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment?

Which one of the following is a closed form expression for the generating function of the sequence {a_n}, where an = 2n + 3 for all n = 0, 1, 2,… ?

Consider the following C program.

#include<stdio.h> struct Ournode{ char x,y,z;
};
int main()
{ struct Ournode p = {'1', '0', 'a'+2};
struct Ournode *q = &p;
printf ("%c, %c", *((char*)q+1), *((char*)q+2));
return 0;
}
The output of this program is:

A queue is implemented using a non-circular singly linked list. The queue has a head pointer and a tail pointer, as shown in the figure. Let n denote the number of nodes in the queue. Let enqueue be implemented by inserting a new node at the head, and dequeue be implemented by deletion of a node from the tail. 

Which one of the following is the time complexity of the most time-efficient implementation of enqueue and dequeue, respectively, for this data structure? 

Let ⊕ and ⊙ denote the Exclusive OR and Exclusive NOR operations, respectively. Which one of the following is NOT CORRECT?

Consider the following processor design characteristics.
I. Register-to-register arithmetic operations only
II. Fixed-length instruction format III. Hardwired control unit.
Which of the characteristics above are used in the design of a RISC processor?

Let N be an NFA with n states. Let k be the number of states of a minimal DFA which is equivalent to N. Which one of the following is necessarily true?

The set of all recursively enumerable languages is

Which one of the following statements is FALSE?

The following are some events that occur after a device controller issues an interrupt while process L is under execution. 
(P) The processor pushes the process status of L onto the control stack.
(Q)The processor finishes the execution of the current instruction.
(R) The processor executes the interrupt service routine.
(S) The processor pops the process status of L from the control stack. (T) The processor loads the new PC value based on the interrupt

Which one of the following is the correct order in which the events above occur?

Consider a process executing on an operating system that uses demand paging. The average time for a memory access in the system is M units if the corresponding memory page is available in memory, and D units if the memory access causes a page fault. It has been experimentally measured that the average time taken for a memory access in the process is X units.

 Which one of the following is the correct expression for the page fault rate experienced by the process?

In an Entity-Relationship (ER) model, suppose R is a many-to-one relationship from entity set E1 to entity set E2. Assume that E1 and E2 participate totally in R and that the cardinality of E1 is greater than the cardinality of E2.Which one of the following is true about
?

Consider the following two tables and four queries in SQL.

Which one of the queries above is certain to have an output that is a superset of the outputs of the other three queries?

Match the following:

Consider the following statements regarding the slow start phase of the TCP congestion control algorithm.  Note that cwnd stands for the TCP congestion window and MSS denotes the Maximum Segment Size.
(i) The cwnd increases by 2 MSS on every successful acknowledgment.
(ii) The cwnd approximately doubles on every successful acknowledgement.
(iii) The cwnd increases by 1 MSS every round trip time.
(iv) The cwnd approximately doubles every round trip time.
Which one of the following is correct?

Two people, P and Q, decide to independently roll two identical dice, each with 6 faces, numbered 1 to 6. The person with the lower number wins. In case of a tie, they roll the dice repeatedly until there is no tie. Define a trial as a throw of the dice by P and Q. Assume that all 6 numbers on each dice are equi-probable and that all trials are independent. The probability (rounded to 3 decimal places) that one of them wins on the third trial is _____.

The value of correct to three decimal places (assuming that �� = 3.14 ) is _____. 

Consider a matrix Note that V^T  denotes the transpose of v. The largest eigenvalue of A is _____.

The chromatic number of the following graph is _______.

Let G be a finite group on 84 elements. The size of a largest possible proper subgroup of G is ________.

The postorder traversal of a binary tree is 8,9,6,7,4,5,2,3,1. The inorder traversal of the same tree is 8,6,9,4,7,2,5,1,3. The height of a tree is the length of the longest path from the root to any leaf. The height of the binary tree above is ______.