Previous Year Gate Question Paper

GATE 2022 General Aptitude (GA)
Q.1 – Q.5 Carry ONE mark each.


Q.1 The _________ is too high for it to be considered _________.


(A) fair / fare


(B) faer / fair


(C) fare / fare


(D) fare / fair




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,Q.2 A function y(x) is defined in the interval [0, 1] on the 𝑥-axis as

1
⎧ 2 if 0 ≤ 𝑥 <
⎪ 3
1 3
𝑦(𝑥 ) = 3 if ≤𝑥<
⎨ 3 4
⎪ 3
⎩ 1 if ≤𝑥≤1
4

Which one of the following is the area under the curve for the interval [0, 1] on
the 𝑥-axis?


(A) 5
6


(B) 6
5


(C) 13
6


(D) 6
13




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,Q.3 Let r be a root of the equation 𝑥 + 2𝑥 + 6 = 0.

Then the value of the expression (𝑟 + 2)(𝑟 + 3)(𝑟 + 4)(𝑟 + 5) is


(A) 51


(B) −51


(C) 126


(D) −126




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, Q.4 Given below are four statements.

Statement 1: All students are inquisitive.

Statement 2: Some students are inquisitive.

Statement 3: No student is inquisitive.

Statement 4: Some students are not inquisitive.

From the given four statements, find the two statements that CANNOT BE
TRUE simultaneously, assuming that there is at least one student in the class.


(A) Statement 1 and Statement 3


(B) Statement 1 and Statement 2


(C) Statement 2 and Statement 4


(D) Statement 3 and Statement 4




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