GATE - APTITUDE 2020 GG

 1) The untimely loss of life is a cause of serious global concern as thousands of people get killed ______ accidents every year while many other die ______ diseases like cardio vascular disease, cancer, etc.

(A) in, of

(B) from, of

(C) during, from

(D) from, from

Solution :

• People are killed in accidents.

• People die of diseases like cardiovascular disease, cancer, etc.

• "in" accidents: The preposition "in" is commonly used to describe someone being involved in an event or situation, such as an accident. We say "killed in accidents" to indicate the event where the fatalities occurred.

• "of" diseases: The preposition "of" is used to indicate the cause of death, particularly when referring to diseases. People "die of diseases" because the disease is the direct cause of their death.

2) He was not only accused of theft ______ of conspiracy.

(A) rather

(B) but also

(C) but even

(D) rather than

Solution : "not only... but also" is used to show two related ideas or actions.

3) Select the word that fits the analogy:

Explicit : Implicit :: Express : ______

(A) Impress

(B) Repress

(C) Compress

(D) Suppress

Solution :

• The analogy is based on opposites. "Explicit" means clearly stated, while "implicit" means implied.

• "Express" means to make known, while "repress" means to restrain or hold back.

4) he Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit, and had to pay a six-figure fine to a French-speaking couple after they filed complaints about formal in-flight announcements in English lasting 15 seconds, as opposed to informal 5 second messages in French.

The French-speaking couple were upset at _______.

(A) the in-flight announcements being made in English.

(B) the English announcements being clearer than the French ones.

(C) the English announcements being longer than the French ones.

(D) equal importance being given to English and French

Solution:

• The passage specifically mentions that the couple filed complaints because the formal in-flight announcements in English lasted 15 seconds, whereas the informal messages in French lasted only 5 seconds.

• This implies the couple was upset at the length discrepancy between the English and French announcements, making option (C) the most fitting answer.

5) A superadditive function f(·) satisfies the following property

f(x₁ + x₂) ≥ f(x₁) + f(x₂)

Which of the following functions is a superadditive function for x > 1?

(A) e^x

(B) √x

(C) 1/x

(D) e^-x

Solution : We have to check for every option wheather f(x1​+x2​)≥ f(x1​)+f(x2​)

e^x

let put x1,x2 = 2

so, e^(x1+x2) = 54.59 , whereas e^x1 + e^x2= 14.78

so, option(A) will satisfies the following property.

6) The global financial crisis in 2008 is considered to be the most serious world-wide financial crisis, which started with the sub-prime lending crisis in USA in 2007. The sub-prime lending crisis led to the banking crisis in 2008 with the collapse of Lehman Brothers in 2008. The sub-prime lending refers to the provision of loans to those borrowers who may have difficulties in repaying loans, and it arises because of excess liquidity following the East Asian crisis.

Which one of the following sequences shows the correct precedence as per the given passage?

(A) East Asian crisis → subprime lending crisis → banking crisis → global financial crisis.

(B) Subprime lending crisis → global financial crisis → banking crisis → East Asian crisis.

(C) Banking crisis → subprime lending crisis → global financial crisis → East Asian crisis.

(D) Global financial crisis → East Asian crisis → banking crisis → subprime lending crisis.

Solution: According to the passage:

• The East Asian crisis led to excess liquidity, which contributed to the subprime lending crisis.

• The subprime lending crisis then led to the banking crisis in 2008.

• The banking crisis was part of the larger global financial crisis in 2008.

7) It is quarter past three in your watch. The angle between the hour hand and the minute hand is _____.

(A) 0°

(B) 7.5°

(C) 15°

(D) 22.5°

Solution : quarter past three = 3:15

• Angle between minute hand and hour hand is given by

  = 30h - 5.5 M

  = (30×3) - (5.5×15)

  = 90 - 82.5

  = 7.5

8)

Solution: radius of circle = a

Area of circle = πa²

side of cube = 2a/root2

= root2a

Area of cube = 2a²

Then, Area of shaded portion = πa² - 2a² (option C)

9) a, b, c are real numbers. The quadratic equation ax² - bx + c = 0 has equal roots, which is β, then

(A) β = b/a

(B) β² = ac

(C) β³ = bc/(2a²)

(D) b² ≠ 4ac

Solution: Let roots of quadratic equation as α and β

We know that α + β = b/a and α β = c/a

Here given that roots are equal

so, α + β = b/a

2β = b/a

β = b/2a …….i

again, α β = c/a

β²= c/a ……ii

By multiplying equation i and ii we will get

β³ = bc/(2a²)

10)

Solution: Here,

Students enrolled in school ‘P’ = 23

Students enrolled in school ‘q’ = 31

difference b/w students enrolled school’q’ and ‘p’= 31-23 = 8

ratio = 23/(31-23) = 23/8