CS and IT Gate 2018 Questions with Answer

Ques 1 Gate 2018

In appreciative of social improvement completed in a town, a wealthy philanthropist decided to give gift of Rs. 750 to each male senior citizen and Rs. 1000 for female senior citizens. There are total 300 senior citizens and th 8/9th of total men and 2/3rd of total women claimed the gift. What is amount of money philanthropist paid?

15000

200000

115000

151000

(Ratio and Proportion ) is the correct answer.

Ques 2 Gate 2018

If pqr ≠ 0 and p^-x = ¹/_q, q^-y = ¹/_r , r^-z = ¹/_p, what is the value of the product xyz ?

-1

¹/ _pqr

pqr

(Algebra) is the correct answer.

Ques 3 Gate 2018

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?

Three green faces and four red faces.

Four green faces and three red faces.

Five green faces and two red faces.

Six green faces and one red face.

(Probability) is the correct answer.

Ques 4 Gate 2018

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?

2:3

1:1

3:2

2:1

(Venn Diagram) is the correct answer.

Ques 5 Gate 2018

The area of a square is ‘d’. What is the area of the circle which has the diagonal of the square as its diameter?

πd

πd²

(1/4) πd²

(1/2) πd

(Geometry) is the correct answer.

Ques 6 Gate 2018

A __________ investigation can sometimes yield new facts, but typically organized once are more successful.

Meandering

Timely

Consistent

Systematic

(English Grammar) is the correct answer.

Ques 7 Gate 2018

"From where are they bringing their books? _________ bringing _________ books from _________." The words that best fill the blanks in the above sentence are

Their, theyre, there

Theyre, their, there

There, their, theyre

Theyre, there,there

(English Grammar) is the correct answer.

Ques 8 Gate 2018

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

3047

6047

7987

63847

(Number System) is the correct answer.

Ques 9 Gate 2018

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

2880

1440

720

(Number Series) is the correct answer.

Ques 10 Gate 2018

Consider the following languages:

I. {a^mbⁿc^pd^q ∣ m + p = n + q, where m, n, p, q ≥ 0}
II. {a^mbⁿc^pd^q ∣ m = n and p = q, where m, n, p, q ≥ 0}
III. {a^mbⁿc^pd^q ∣ m = n = p and p ≠ q, where m, n, p, q ≥ 0}
IV. {a^mbⁿc^pd^q ∣ mn = p + q, where m, n, p, q ≥ 0}

Which of the above languages are context-free?

I and IV only

I and II only

II and III only

II and IV only

(Context Free Grammar) is the correct answer.

Ques 11 Gate 2018

Consider the following program written in pseudo-code. Assume that x and y are integers.

Count (x, y) {
if (y !=1 ) {
if (x !=1) {
print("*");
Count (x/2, y);
   }
else {
   y=y-1;
   Count (1024, y);
}
}
}

The number of times that the print statement is executed by the call Count(1024, 1024) is _______ .

(a) is the correct answer.

Ques 12 Gate 2018

Consider the following C program:

#include<stdio.h>
int counter = 0;
int calc(int a, int b) {
int c;
counter++;
if (b == 3)
return (a * a * a);
else {
c = calc(a, b / 3);
return (c * c * c);
}
}
int main() {
calc(4, 81);
printf("%d", counter);
}

The output of this program is ________ .

(a) is the correct answer.

Ques 13 Gate 2018

Consider the following C code. Assume that unsigned long int type length is 64 bits.

unsigned long int fun(unsigned long int n) {
unsigned long int i, j = 0, sum = 0;
for( i = n; i > 1; i = i/2) j++;
for( ; j > 1; j = j/2) sum++;
return sum;
}

The value returned when we call fun with the input 2⁴⁰ is

(Loops) is the correct answer.

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