The correct Option is 1 i.e. 'DCBAE'

The meaning of the given words are:
Depressing: Causing or feeling of miserable dejection it is an adjective.
Relegation: Assign an inferior rank or position to somebody. It is a noun.
Pursuit: The action of pursuing something. It is a noun.
Forging: Make or shape something. It is a verb+ing form present participle(adjective)
Proclaimed: Announce officially or publicly. It is a verb+ed form past participle(adjective).

Explanation: 
In the first blank, we need an adjective because 'daunting' is an adjective that means 'make feel intimidated or apprehensive' and we know the grammatical rule that if two adjectives are connected with conjunction 'and' then the adjectives should be same. Hence, according to the meaning 'depressing' is the same as 'daunting' so it is a perfect choice.
In the second blank, We need a noun to explain the phrase 'ethical imperative' the meaning of this phrase is 'a belief or principle which is perceived as extremely morally necessary.' Hence, we are not pursuing it according to the passage the persons are ruining it. So, the correct word for it is 'Relegation'
In the third blank, We need a noun so that the adjective 'obsessive' completes its meaning hence, the noun perfect for this blank is 'pursuit' as it is contextually making sense.
In the fourth blank, Forging is correct because according to the meaning, we are shaping a political consensus.
In the fifth blank, Proclaimed is correctly placed.

So the correct sentence is:
A survey of the present landscape is both daunting and depressing. The global retreat of democracies, the relegation of the ethical imperative to an obsessive pursuit of raw power as an end in itself, a crisis of institutional legitimacy, and the challenge of forging a political consensus needed for hard but necessary decisions interrogate the proclaimed assumptions of democratic resilience.

The correct answer is Option 3 i.e. 'BADCE'

The meaning of the given words are:
Emotional: Characterised by or arousing intense feeling. It is an adjective.
Wrong: Unjust, Dishonest, or Immoral. It is an adjective
Important: Of great significance or value. It is an adjective
Information: Facts or knowledge provided or learned. It is a noun.
Perspective: A particular way of regarding something. It is a noun.

Explanation:
In the first blank, we need an adjective to qualify a noun 'injury' hence, to explain the meaning of 'how ethical explorations begin' the answer is 'with emotional injury' as the meaning of the word given above makes sense and also it is explaining the sentence. 
In the second blank, we need an adjective because 'feel' is a linking verb hence with linking we usually write an adjective So the correct adjective according to the meaning is 'Wrong'
In the third blank, we need an adjective to qualify a noun i.e. 'bit' hence we left with one adjective in the given options i.e. 'Important.'
In the fourth blank, we need a noun for a preposition 'of' hence according to the meaning 'information' is a perfect choice.
In the fifth blank, the word 'perspective' is correctly placed.

So the correct sentence is:
Ethical explorations often begin with emotional injury. Something simply feels wrong, and you ask yourself whether you are missing an important bit of information or the right perspective.

The correct answer is Option 5 i.e. 'No rearrangement required'

The meaning of the given words are:
Significant: Extensive or important enough for merit attention. It is an adjective.
Unnoticed: not easily observed or notice.
Momentous: Of great importance or significance.
Witnessing: A person who sees an event takes place.
Know: Be aware through observation.

Hence, according to the meaning of the words given-above all the words are correctly placed in the sentence. So 'no rearrangement is required in this question.'

The correct answer is Option 2 i.e. 'CABED'

The meaning of the given words are:
Spreading: extend or distribute over a wide area. It is a verb+ing form (gerund.)
Plunged: Fall or move suddenly or uncontrollably. It is a verb (past participle)
Wiped: Remove. It is a verb (past participle)
Return: Come or go back to a place. It is a verb.
Confronting: Face up to and deal with. It is a verb+ing form (gerund)

Explanation: 
In the first blank, we need an object after the verb 'began' hence object can only be a noun/pronoun and we have two gerunds in the given options hence, according to the meaning 'Spreading' is a perfect choice for this blank.
In the second blank, we need third form of the verb. Hence, according to the meaning 'Plunged' is a perfect choice.
In the third blank, If you read the sentence carefully we need a present perfect tense in a passive voice, not a present perfect continuous tense. Hence, 'wiped' is a suitable word for this blank.
In the fourth blank, we need to form an infinitive hence, the only option left with a verb is 'return' Hence it is the correct choice.
In the fifth blank, we need a present continuous tense hence, confronting is the suitable choice according to the meaning and grammar.

So the correct sentence is:
The pandemic began spreading around the world just a few months ago. Yet, it has plunged the global economy into its deepest economic contraction since the Great Depression of the 1930s. Trillions of dollars of economic output have been wiped out most countries will take years to return to pre-coronavirus levels, and billions of people are confronting a shrunken future.

The correct answer is Option 4 i.e. 'CABED'

The meaning of the given words are:
Tormented: Annoy or tease unkindly. It is a past participle.
Devastating: Highly destructive or damaging it is a present participle.
Mocks: Tease scornfully or ridicule. It is a verb.
Prevail: Prove more powerful or superior. It is a verb.
Future: Time that is still to come. It is a noun.

Explanation:  

In the first blank we need a past participle(adjective) to qualify a noun. The past participle is used when the doer is not written or doer is somebody else. Hence, 'tormented' is the correct answer.
In the second blank, 'Devastating' is correct because we need to tell the effect of a pandemic.
In the third blank, we need a verb because 'reach' here is not a verb it is a noun that means 'the extent or range of something, the effect or influence' and 'devastating' qualifies a noun 'reach' which is singular hence we need a singular verb for it and we have only one singular verb in the given options i.e. 'Mocks'
In the fourth blank, we need an infinitive and 'future' is a noun not a verb. Hence, use a verb after preposition 'to' to make it an infinitive hence, 'prevail' is the best choice.
In the fifth blank, we need a noun hence 'future' is the correct option.

So the correct sentence is:
A tormented world, shaken out of its comfort by a pandemic whose devastating reach mocks humanity’s collective capacity to prevail, yearns for answers about our common future. 

The correct answer is option 4 i.e. B-D.

'Forecasts' is the incorrect form of verb because the sentence starts by 'with running' which means we need to use the continuous form of the verb. Also, 'surging' is contextually incorrect. We need to interchange both these words to make the sentence grammatically correct and meaningful.

All the other words are correctly placed.

Thus, the answer is B-D.

Correct sentence-

With the virus running riot across the Americas and surging in Africa the downside risks outweigh the others. The treasury forecasts eschew the traditional approach of charting a middle path through upside and downside risks.

The correct answer is option 3 i.e. D-E.

'Ethnicity' is not contextually correct. 'Privileges' does not quite fit well at the position E. We will interchange both these words to make the sentence meaningful.

All other words are correct and do not require any changes.

Thus, the answer is D-E.

Correct sentence-

As Europeans, the Austrian locals firmly stood by the humanist ideals of equality, freedom, and democracy, which have contributed to the peace and affluence of their country after World War II but these ideals also require that locals and immigrants are treated as equals, without any special privileges afforded to either group on the basis of their ethnicity.

The correct answer is option 3 i.e. A-D.

'Ceasefire' does not quite fit in the sentence. Also, 'request' is not contextually correct. We need to interchange the words to make the sentence meaningful.

All the other words are correct and do not require any changes.

Thus, the answer is A-D.

Correct sentence-

Huawei official in Canada on a U.S. request further risked disrupting the tentative ceasefire, showing how fragile the deal is and how easily the situation could return to a war footing.

The correct answer is Option 2) i.e. Both B and C are correct

Sentence A) John of the Cross Carmelite friar and priest of converso origin, is a major figure of the Spanish Counter-Reformation, a mystique and Roman Catholic saint.
Here use of mystique makes no sense. 'Mystic' should be there in place of 'Mystique'. Mystic here means a person who believes in the spiritual apprehension of truths that are beyond the intellect.

Sentence B) As an artist committed to the mystique, Bowie doesn’t share much about their upbringing.
Here mystique is correctly used. 'Mystique' means an air or attitude of mystery and reverence developing around something or someone

Sentence C) Cold and white, this Midwestern state plays a unique role in the mystique of presidential campaigns
Here mystique is correctly used. 'Mystique' means the special esoteric skill essential in a calling or activity

So sentences B and C are correct.

The correct answer is Option 2) i.e. Both A and C are correct

Sentence A) Even its specifications and test-track results might tend to mislead you, as might individual quirks of its very strong character.
Here quirk is correctly used. 'Quirk' means a peculiar trait

Sentence B) These particles are much, much lighter than quirks, and pass through the cosmos ethereally, rarely stopping to interact with anything at all.
Here use of quirk makes no sense. 'Quark' should be there in place of 'Quirk'. Quark means any of several elementary particles that are postulated to come in pairs

Sentence C) Hugh Dancy’s a delightful addition to the cast, but giving his legal associate a photographic memory feels like one quirk too many.
Here quirk is correctly used. 'Quirk' means a peculiar trait

So sentences A and C are correct.

The correct answer is Option 1) i.e. Both A and B are correct

Sentence A) You can embrace your inner flower child with a hippy costume, or revel in the excesses of 80s fashion.
Here revel is correctly used. Revel means to take intense pleasure or satisfaction. The sentence is trying to convey that the person can enjoy himself in a hippy costume or derive pleasure by trying 80s costumes.

Sentence B) Fashion mavens and novices alike can all revel in the bliss of paying much less than full price for glamorous bags.
Here revel is correctly used. Revel means to take intense pleasure or satisfaction. The sentence is trying to convey that both the person having fashion knowledge and newcomer enjoys paying a lesser price for glamorous bags.

Sentence C) The majority resolved to revel in practice the traditions left them by their fathers, which they had departed from during the period of opulence.
Here use of revel makes no sense. 'Revive' should be there in place of 'revel'. Revive means to restore from a depressed, inactive, or unused state.

So sentences A and B are correct

The correct answer is Option 4) Both A and C are correct

Sentence A) He's also the rogue, the one who won't be bound by tradition; the one who breaks the rules and brings chaos and unpredictability to the world.
Here rogue is correctly used. Rogue means a dishonest or unprincipled man.

Sentence B)  Ferric oxide is employed as a pigment, as jeweler's rogue, and for polishing metals.
Here use of rogue makes no sense. 'Rouge' should be there in place of 'Rogue'. Rouge means a red powder consisting essentially of ferric oxide used in polishing glass, metal, or gems and as a pigment

Sentence C) Sometimes small groups go rogue, and end up running around populated areas hurting or killing innocents.
Here rogue is correctly used. Rogue means a mischievous person.

So sentences A and C are correct

The correct answer is Option 1) i.e. Both A and B are correct

Sentence A) Congress is adjured by the Fourteenth Amendment to enforce it against the states.
Here adjured is correctly used. Adjure means to issue orders to (someone) by right of authority

Sentence B) The suspicious nobles were solemnly adjured to trust themselves to hIs keeping, under the promise of forgiveness.
Here adjure is rightly used. Adjure means to give advice to

Sentence C) Having no grounds for opposing the royal title to the wardship of the heiress, they adjured English law and became Irish chieftains.
Here, the usage of 'adjure' makes no sense. 'Abjure' should be there in place of 'Adjure'. Abjure means to reject solemnly

So sentences A and B are correct.

The correct answer is Option 4) i.e. Only A is correct

Sentence A) What secured the nomination were two things: the movie’s extraordinary quality and the perspicacious marketing department at Netflix’s documentary division.
Here perspicacious is correctly used. Perspicacious means having a ready understanding of things/keenness in judgement.

Sentence B) The president began his Monday by scrutinizing his national security briefing, filling its margins with perspicacious questions and observations.
Here use of perspicacious makes no sense. 'Perspicuous' should be there in place of 'Perspicacious'. Perspicuous means plain to the understanding especially because of clarity and precision of presentation.

Sentence C) Believing that poetry need not be as perspicacious as prose, he writes poems that are intentionally ambiguous.
Here use of perspicacious makes no sense. 'Perspicuous' should be there in place of 'Perspicacious'. Perspicuous means plain to the understanding especially because of clarity and precision of presentation.

So Only sentence A is correct

The correct answer is Option 1). Both A and C are correct.

Sentence A) The news of the impending marriage was bruited abroad.
Bruit is correctly used here. Bruit means to spread a rumor

Sentence B) You should not resort to bruit force to solve a problem.
The use of Bruit here makes no sense. 'Brute' should be there in place of 'Bruit'. Brute means not involving thought or reason.

Sentence C) A film that captures the thunderous fury of medieval warfare and the bruit of a thousand clashing swords
Bruit is correctly used here. 'Bruit' here means any of several generally abnormal sounds

So sentences A and C are correct.