Aptitude GATE previous year questions with answer
Ques 14 Gate 2023
We reached the station late, and _______ missed the train.
Option a: Mostly
"We reached the station late, and mostly missed the train."
This doesn't make proper sense. "Mostly" means "for the most part" or "mainly," which doesn't fit well in this context.
Option b: Near
"We reached the station late, and near missed the train."
This is grammatically incorrect. "Near" is not the right form here.
Option c: Utterly
"We reached the station late, and utterly missed the train."
"Utterly" means "completely" or "absolutely." While grammatically possible, it sounds unnatural in this context.
Option d: Nearly
"We reached the station late, and nearly missed the train."
This is correct! "Nearly" means "almost" - so they almost missed the train but didn't actually miss it. This makes perfect sense with the context.
Ques 15 Gate 2023
Kind : ______ :: often : frequently
Ques 16 Gate 2023
f(x) and g(y) are function of x and y, respectively and f(x) = g(y) for all real values of x and y. Which one of the following options is necessary true?
Ques 17 Gate 2023
A series of natural numbers πΉ1, πΉ2, πΉ3, πΉ4, πΉ5, πΉ6, πΉ7, β¦ obeys πΉπ+1 = πΉπ + πΉπβ1
for all integers π β₯ 2 .
If πΉ6 = 37, and πΉ7 = 60, then what is πΉ1 ?
Ques 18 Gate 2023
Looking at the surface of a smooth 3-dimensional object from the outside, which one of the following options is TRUE?
Ques 19 Gate 2023
The country of Zombieland is in distress since more than 75% of its working population is suffering from serious health issues. Studies conducted by competent health experts concluded that a complete lack of physical exercise among its working population was one of the leading causes of their health issues. As one of the measures to address the problem, the Government of Zombieland has decided to provide monetary incentives to those who ride bicycles to work. Based only on the information provided above, which one of the following statements can be logically inferred with certainty?
Ques 20 Gate 2022
A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters.
From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated in their plane.
A palindrome is a word that reads the same forwards and backwards.
Examples: RADAR, MADAM, REFER, 12321
In this problem, we have two initial plates with letters, and we need to find which combination of three additional plates will help us form a five-letter palindrome using all five plates exactly once.
Important: The plates can be rotated in their plane, so some letters can look different when rotated.
Option a: Using the three plates gives us D D J (after rotating the 2nd and 3rd plates)
This is not a palindrome.
Option b: Using the three plates gives us R A R (after rotating the 2nd and 3rd plates)
This is a palindrome! It reads the same forwards and backwards.
Option c: Using the three plates gives us Z E D (after rotating the 2nd and 3rd plates)
This is not a palindrome.
Option d: Using the three plates gives us I L Y (after rotating the 2nd and 3rd plates)
This is not a palindrome.
Answer: Option b is correct because it forms the palindrome "RARAR" or simply "R A R" when we consider the pattern.
Ques 21 Gate 2022
The ______is too high for it to be considered ______.
Ques 22 Gate 2022
A plot of land must be divided between four families. They want their individual plots to be similar in shape, not necessarily equal in area. The land has equally spaced poles, marked as dots in the below figure. Two ropes, R1 and R2, are already present and cannot be moved. What is the least number of additional straight ropes needed to create the desired plots? A single rope can pass through three poles that are aligned in a straight line.
Ques 23 Gate 2022
Let r be a root of the equation x2 + 2x + 6 = 0. Then the value of the expression (r+2) (r+3)(r+4)(r+5) is
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