GATE CY branch:cy PYQs & Answers — Page 47

Questions 461–470 of 650. Imported answers require independent review unless marked reviewed.

Under a certain legal system, prisoners are allowed to make one statement. If their statement turns out to be true then they are hanged. If the statement turns out to be false then they are shot. One prisoner made a statement and the judge had no option but to set him free. Which one of the following could be that statement?

Your answerChoose one option.

I did not commit the crime

I committed the crime

I will be shot

You committed the crime

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A person divided an amount of Rs. 100,000 into two parts and invested in two different schemes. In one he got 10% profit and in the other he got 12%. If the profit percentages are interchanged with these investments he would have got Rs.120 less. Find the ratio between his investments in the two schemes.

Your answerChoose one option.

9 : 16

11 : 14

37 : 63

47 : 53

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Congo was named by Europeans. Congo’s dictator Mobuto later changed the name of the country and the river to Zaire with the objective of Africanising names of persons and spaces. However, the name Zaire was a Portuguese alteration of Nzadi o Nzere, a local African term meaning ‘River that swallows Rivers’. Zaire was the Portuguese name for the Congo river in the 16th and 17th centuries. Which one of the following statements can be inferred from the paragraph above?

Your answerChoose one option.

Mobuto was not entirely successful in Africanising the name of his country

The term Nzadi o Nzere was of Portuguese origin

Mobuto’s desire to Africanise names was prevented by the Portuguese

As a dictator Mobuto ordered the Portuguese to alter the name of the river to Zaire

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A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at these skill levels of total employment in 2010 are given in the pie chart as shown. There were a total of 600 employees in 2010 and the total employment increased by 15% from 2010 to 2016. The total employment at skill levels P, Q and R remained unchanged during this period. If the employment at skill level S increased by 40% from 2010 to 2016, how many employees were there at skill level T in 2016?

Your answerChoose one option.

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M and N had four children P, Q, R and S. Of them, only P and R were married. They had children X and Y respectively. If Y is a legitimate child of W, which one of the following statements is necessarily FALSE?

Your answerChoose one option.

M is the grandmother of Y

R is the father of Y

W is the wife of R

W is the wife of P

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The INCORRECT statement about the solid-state structure of CsCl and CaF₂ is:

Your answerChoose one option.

Cations in both solids exhibit coordination number 8.

CsCl has bc type structure and CaF₂ has cubic close pack structure.

Radius ratio for Cs/Cl and Ca/F is 0.93 and 0.73, respectively.

Both exhibit close pack structure.

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The INCORRECT statement about the interhalogen compound ICl₃ is:

Your answerChoose one option.

It exists as a dimer.

Geometry around the iodine is tetrahedral in solid-state.

It decomposes as ICl and Cl₂ in gas-phase.

Liquid ICl₃ conducts electricity.

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Among the following carbon allotropes, the one with discrete molecular structure is

Your answerChoose one option.

Diamond

α-Graphite

β-Graphite

Fullerene

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The INCORRECT statement about the silicones is:

Your answerChoose one option.

They are thermally unstable because of the Si–C bond.

They are insoluble in water.

They are organosilicon polymers.

They have stable silica-like skeleton (–Si–O–Si–O–Si–).

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The Δₒ value of [Ni(H₂O)₆]²⁺ is 850 cm⁻¹. The Δₒ values for [NiCl₆]⁴⁻ and [Ni(NH₃)₆]²⁺ compared to [Ni(H₂O)₆]²⁺ are

Your answerChoose one option.

higher and lower, respectively.

lower and higher, respectively.

higher in both complex ions.

lower in both complex ions.

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GATE CY branch:cy PYQs

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