Aptitude GATE previous year questions with answer
Ques 66 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 67 Gate 2018
What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, ___,0
Ques 68 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 69 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 70 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 71 Gate 2017 Set-2
X is 30 digit number starting with 4 followed 7. Then number X3 will have
The number of digits in a number. If a number N has d digits, then:
10d-1 ≤ N < 10d
For finding digits in X3, I can use logarithms. The number of digits in X3 is:
Number of digits = floor(log10(X3)) + 1
Number of digits = floor(3 × log10(X)) + 1
Since X is a 30-digit number starting with 47, I can estimate its range:
• Minimum value: X ≥ 47 × 1028 (smallest 30-digit number starting with 47)
• Maximum value: X < 48 × 1028 (before it becomes 48...)
The minimum case:
X = 47 × 1028
log10(X) = log10(47) + 28
log10(47) ≈ 1.672 (since log10(47) is between log10(10) = 1 and log10(100) = 2)
So, log10(X) ≈ 1.672 + 28 = 29.672
Therefore:
Number of digits in X3 = floor(3 × 29.672) + 1
= floor(89.016) + 1
= 89 + 1
= 90
Verifying with the maximum case:
X < 48 × 1028
log10(48) ≈ 1.681
log10(X) < 1.681 + 28 = 29.681
Number of digits = floor(3 × 29.681) + 1 = floor(89.043) + 1 = 89 + 1 = 90
Both cases give me 90 digits.
Ques 72 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 73 Gate 2017 Set-2
The numbers of the roots of ex + 0.5x2 -2 = 0 in the range [-5, 5] are
Ques 74 Gate 2017 Set-2
Choose the option with words that are not synonyms.
Ques 75 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
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