Aptitude GATE CS and IT previous year questions with answer

Ques 51 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_

Ques 52 Gate 2018

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

Ques 53 Gate 2017 Set-2

In a file allocation system, which of the following allocation scheme(s) can be used if no external fragmentation is allowed?

I. Contiguous
II. Linked
III. Indexed

Ques 54 Gate 2017 Set-2

Let p, q, r denote the statement "It is raining", "It is cold", and "It is pleasant", respectively. Then the statement "It is not raining and it is pleasant, and it is not pleasant only if it is raining and it is cold" is represented by:

Ques 55 Gate 2017 Set-2

"We lived in culture and denied any merit to literally works, Considering them important only when they were handmaidens to something seemingly more urgent - namely ideology. This was a country where all gestures even the most private , interpreted as political terms." The author^^s believes that ideology is not as important as literature is revealed by the word

Ques 56 Gate 2017 Set-2

X is 30 digit number starting with 4 followed 7. Then number X³ will have

Ques 57 Gate 2017 Set-2

There are three boxes, one contains apples, another contains oranges and last one contains both apples and oranges. All three are known to be incorrectly labelled. You are permitted to open just one box and then pull out and inspect only one fruit. Which box would you open to determine the contents of all three boxes?

Ques 58 Gate 2017 Set-2

The numbers of the roots of e^x + 0.5x² -2 = 0 in the range [-5, 5] are

Ques 59 Gate 2017 Set-2

Choose the option with words that are not synonyms.

Ques 60 Gate 2017 Set-2

There are 3 red socks, 5 green socks and 3 blue socks. You choose 2 socks. The probability that they are of the same color is