The correct answer is Option (4) i.e. 'Venture'.

Key Points

• The word "project" mentioned in the text refers to the scientist's substantial undertaking related to time travel, implying the activities planned and executed to achieve a particular purpose over time.
• Project : (परियोजना) - A planned piece of work that has a specific purpose.
• Example: I am working on a science project.
• Venture : (उद्यम) - A risky or daring journey or undertaking.
• Example: Starting a business is a venture.
• Hence, all listed options are well-aligned with their meaning. But considering the ambitious and adventurous nature of the project as described in the passage, and the risk involved, the suitable synonym would be Venture.

Therefore, the correct answer is Venture.

Additional Information

• Trait : (विशेषता) - A distinguishing quality or characteristic.
• Example: Honesty is a good trait.
• Indolence : (आलस्य) - The trait of avoiding exertion; laziness.
• Example: Indolence can lead to problems.
• Effort : (प्रयास) - A vigorous or determined attempt.
• Example: It takes effort to succeed.
• Operation : (संचालन) - The fact or condition of functioning or being active.
• Example: The machine is in operation.

The correct answer is Option (3).

Key Points

• The young boy perceived the scientist's nighty activities "As an opportunity".
• In the 3rd paragraph, it is clearly mentioned that the boy is different from the rest of the inhabitants.
• In contrast to the other townsfolk, the boy saw the scientist's activities as an opportunity to learn and possibly shape the future.
• Hence, option (3) is the most appropriate answer based on the above passage.

Therefore, the correct answer is "As an opportunity".

Additional Information

• Perceive : (अनुभव करना) - To become aware or conscious of something; to see, hear or feel something.
• Example: He could perceive a change in his friend's behaviour.

The correct answer is Option (3).

Key Points

• The correct statement is The townsfolk requested the scientist to leave the town due to his disruptive activities.
• Explanation:
• The passage describes how the scientist's experiments disrupted the town's peace, creating disturbances with sounds and lights that led to power interruptions.
• The townsfolk, feeling stressed and concerned, made a unified plea for the scientist to leave the town for the greater good. This is stated in Paragraph 2.
• Hence Option 3 is the true statement based on the passage.

Therefore, the correct answer is **"The townsfolk requested the scientist to leave the town due to his disruptive activities."

Additional Information 

• Let's check why the other options are not true:
• Option 1. The townsfolk largely welcomed the scientist's experiments:
• Not true. The passage indicates that the experiments disrupted the town, causing stress and frustration among the townsfolk.
• Option 2. The young boy found the scientist's late-night activities disruptive to his sleep:
• Not mentioned in the passage. The young boy saw the activities as an opportunity and was fascinated by them.
• Option 4. The scientist was unwelcome in the town from the very beginning:
• Not explicitly mentioned. While there was growing discontent due to disruptions, it doesn't specify the scientist being unwelcome from the start.
• Option 5. The power supply of the town improved due to the scientist's experiments:
• Not true. The experiments, requiring substantial electrical power, led to interruptions in the town's power supply, causing frustration and disruption.

The correct answer is Option (3).

Key Points

• The town's inhabitants experienced disruptions and inconveniences in their daily lives is correct as the 2nd passage mentions that the scientist's nightly activities and strange sounds disrupted the townsfolk's sleep and caused frustration due to frequent power cuts.
• Hence, option (3) indicates the effects of the scientist's work on the town's inhabitants.

Therefore, the correct answer is "They experienced disruptions and inconveniences in their daily lives."

Additional Information

• Townsfolk : (नगर निवासी) - The people who live in a town, especially in a small town.
• Example: The townsfolk frequently attended meetings at the town hall.

The correct answer is Option (2). 

Key Points

• The reaction of the community is described in the last sentence of the 2nd paragraph.
• As the passage states that to become free from the disturbance the townsfolk decided they needed the scientist to leave the town for the greater good of their community.
• The other options are not mentioned in the passage.

Hence, the correct answer is "They requested the scientist to leave the town"

The correct answer is Option (1). 

Key Points

• The last sentence of the last paragraph mentions that the boy admired the scientist's work and was motivated by an unwavering belief in the power of science. He knew the importance of the work they were doing.
• That's why the boy assisted the scientist despite the town's disapproval.

Therefore, the correct answer is "He wanted to learn about the experiments."

The correct answer is Option (5).

Key Points

• Option 5. The young boy was repelled by the scientist's activities:
• FALSE. The passage indicates the opposite – the young boy was fascinated and supportive of the scientist's work. This is stated in the last two paragraphs.
• Hence, option 5 is a FALSE statement as per the passage.

Therefore, the correct answer is "The young boy was repelled by the scientist's activities."

Additional Information

• Option 1. The young boy saw the scientist's activities as an opportunity to learn more about science:
• True. The passage mentions the young boy's fascination and seeing the activities as an opportunity.
• Option 2. There was a consensus of opinion among all town residents against the scientist:
• True. The passage states that the community was consensus to request the scientist to leave the town.
• Option 3. The scientist and the young boy formed a bond of mutual respect and shared interest:
• True. The passage mentions the boy extending his helping hand, spending nights assisting in experiments, and a bond of mutual respect and shared interest growing between them.
• Option 4. The townsfolk found themselves caught up in nightly disturbances caused by the scientist’s work:
• True. The passage describes how the strange sounds and flickering lights disrupted the townsfolk's sleep and caused frustration and disruption.
• Repelled: To be pushed away or kept away from something or someone. (किसी चीज़ या व्यक्ति से दूर धकेला जाना या दूर रखा जाना)
• Example: She was repelled by the rude behaviour of the guests.

The correct answer is Option (3) i.e. 'Misgiving'.

Key Points

• The word "reservation" in the passage is used to denote the townfolk's concerns or doubts about the scientist's activities.
• Reservation : (आरक्षण) - An arrangement whereby something, especially a seat or a room, is booked or reserved for a particular person.
• Example: I made a reservation for dinner at the restaurant.
• Misgiving : (संदेह) - A feeling of doubt or apprehension about the outcome or consequences of something.
• Example: I have some misgivings about this project.
• While all the provided options are close in meaning, option (c) Misgiving best matches the sense of doubt or apprehension that the townsfolk held regarding the nightly experiments

Therefore, the correct answer is 'Misgiving'.

Additional Information

• Suspicion : (संदेह) - A feeling or thought that something is possible, likely, or true.
• Example: I have a suspicion that he stole the cookies.
• Hesitation : (हिचकिचाहट) - The action of pausing before saying or doing something.
• Example: After a brief hesitation, he answered the tricky question.
• Uncertainty : (अनिश्चितता) - The state of being uncertain.
• Example: There is a lot of uncertainty about the company's future.
• Reluctance : (अनिच्छा) - Unwillingness or disinclination to do something.
• Example: She showed reluctance to answer the controversial question.

The correct answer is option (3) i.e. ‘C’.

Key Points 

• The correct sequence after rearrangement is C-D-E-A-B-F.
• Sentence 1 (C): This is the FIRST sentence of the passage as it introduces the idea of the trip to the village and the daughter's enthusiasm to accompany her father. It's the beginning of the whole story.
• Sentence 2 (D): This sentence becomes the second one as it precisely follows the first. After the father agrees to accompany her, it tells us about the start of their journey to the village, continuing the narrative logically from where the first sentence left off.
• Sentence 3 (E): This sentence shows the immediate reaction of the daughter when she first sees the village, declaring her love for it. It indicates how the journey is starting to have an impact on the girl, iterating further on their ongoing journey, making a logical continuation from the second sentence.
• Sentence 4 (A): The fourth sentence builds on the sentiment expressed in the third sentence. It shows the daughter's insistence on extending their visit to the village, reflecting her affection that was mentioned in the third sentence.
• Sentence 5 (B): The fifth sentence shows the father's reaction in response to his daughter's insistence portrayed in the fourth sentence. He had intended the visit to be brief and now finds himself persuading his daughter to return home.
• Sentence 6 (F): As the final sentence, this wraps up the story nicely, showing the father's gentle promise to his daughter to return to the village, therefore resolving the conflict presented in the fifth sentence.

Hence, the FIRST sentence is Sentence C.

Complete Paragraph after rearrangement: It had all started when her father mentioned that he was undertaking a trip to the village, invoking in his daughter an enthusiastic wish to accompany him. He agreed, and they embarked on their village journey together, not realizing the impact it would have on the little girl. Much to her father's surprise, she fell in love with the village at first glance and expressed a desire to spend more time there. "We should extend our visit, father," the young girl insisted, completely enchanted by the rustic charm of the village. Her father, who had originally planned a brief visit, found himself trying to convince his daughter that it was time to return home. Posing a gentle smile, the father promised his persistent daughter that they would revisit the village, thus finally persuading her to head home.

The correct answer is option (4) i.e. ‘D’.

Key Points

• The correct sequence after rearrangement is C-D-E-A-B-F.
• Sentence 1 (C): This is the first sentence of the passage as it introduces the idea of the trip to the village and the daughter's enthusiasm to accompany her father. It's the beginning of the whole story.
• Sentence 2 (D): This sentence becomes the SECOND one as it precisely follows the first. After the father agrees to accompany her, it tells us about the start of their journey to the village, continuing the narrative logically from where the first sentence left off.
• Sentence 3 (E): This sentence shows the immediate reaction of the daughter when she first sees the village, declaring her love for it. It indicates how the journey is starting to have an impact on the girl, iterating further on their ongoing journey, making a logical continuation from the second sentence.
• Sentence 4 (A): The fourth sentence builds on the sentiment expressed in the third sentence. It shows the daughter's insistence on extending their visit to the village, reflecting her affection that was mentioned in the third sentence.
• Sentence 5 (B): The fifth sentence shows the father's reaction in response to his daughter's insistence portrayed in the fourth sentence. He had intended the visit to be brief and now finds himself persuading his daughter to return home.
• Sentence 6 (F): As the final sentence, this wraps up the story nicely, showing the father's gentle promise to his daughter to return to the village, therefore resolving the conflict presented in the fifth sentence.

Hence, the SECOND sentence is Sentence D.

Complete Paragraph after rearrangement: It had all started when her father mentioned that he was undertaking a trip to the village, invoking in his daughter an enthusiastic wish to accompany him. He agreed, and they embarked on their village journey together, not realizing the impact it would have on the little girl. Much to her father's surprise, she fell in love with the village at first glance and expressed a desire to spend more time there. "We should extend our visit, father," the young girl insisted, completely enchanted by the rustic charm of the village. Her father, who had originally planned a brief visit, found himself trying to convince his daughter that it was time to return home. Posing a gentle smile, the father promised his persistent daughter that they would revisit the village, thus finally persuading her to head home.

The correct answer is option (4) i.e. ‘E’.

Key Points

• The correct sequence after rearrangement is C-D-E-A-B-F.
• Sentence 1 (C): This is the first sentence of the passage as it introduces the idea of the trip to the village and the daughter's enthusiasm to accompany her father. It's the beginning of the whole story.
• Sentence 2 (D): This sentence becomes the second one as it precisely follows the first. After the father agrees to accompany her, it tells us about the start of their journey to the village, continuing the narrative logically from where the first sentence left off.
• Sentence 3 (E): This is the THIRD sentence that shows the immediate reaction of the daughter when she first sees the village, declaring her love for it. It indicates how the journey is starting to have an impact on the girl, iterating further on their ongoing journey, making a logical continuation from the second sentence.
• Sentence 4 (A): The fourth sentence builds on the sentiment expressed in the third sentence. It shows the daughter's insistence on extending their visit to the village, reflecting her affection that was mentioned in the third sentence.
• Sentence 5 (B): The fifth sentence shows the father's reaction in response to his daughter's insistence portrayed in the fourth sentence. He had intended the visit to be brief and now finds himself persuading his daughter to return home.
• Sentence 6 (F): As the final sentence, this wraps up the story nicely, showing the father's gentle promise to his daughter to return to the village, therefore resolving the conflict presented in the fifth sentence.

Hence, the THIRD sentence is Sentence E.

Complete Paragraph after rearrangement: It had all started when her father mentioned that he was undertaking a trip to the village, invoking in his daughter an enthusiastic wish to accompany him. He agreed, and they embarked on their village journey together, not realizing the impact it would have on the little girl. Much to her father's surprise, she fell in love with the village at first glance and expressed a desire to spend more time there. "We should extend our visit, father," the young girl insisted, completely enchanted by the rustic charm of the village. Her father, who had originally planned a brief visit, found himself trying to convince his daughter that it was time to return home. Posing a gentle smile, the father promised his persistent daughter that they would revisit the village, thus finally persuading her to head home.

The correct answer is option (1) i.e. ‘A’.

Key Points

• The correct sequence after rearrangement is  C-D-E-A-B-F.
• Sentence 1 (C): This is the first sentence of the passage as it introduces the idea of the trip to the village and the daughter's enthusiasm to accompany her father. It's the beginning of the whole story.
• Sentence 2 (D): This sentence becomes the second one as it precisely follows the first. After the father agrees to accompany her, it tells us about the start of their journey to the village, continuing the narrative logically from where the first sentence left off.
• Sentence 3 (E): This sentence shows the immediate reaction of the daughter when she first sees the village, declaring her love for it. It indicates how the journey is starting to have an impact on the girl, iterating further on their ongoing journey, making a logical continuation from the second sentence.
• Sentence 4 (A): The FOURTH sentence builds on the sentiment expressed in the third sentence. It shows the daughter's insistence on extending their visit to the village, reflecting her affection that was mentioned in the third sentence.
• Sentence 5 (B): The fifth sentence shows the father's reaction in response to his daughter's insistence portrayed in the fourth sentence. He had intended the visit to be brief and now finds himself persuading his daughter to return home.
• Sentence 6 (F): As the final sentence, this wraps up the story nicely, showing the father's gentle promise to his daughter to return to the village, therefore resolving the conflict presented in the fifth sentence.

Hence, the FOURTH sentence is Sentence A.

Complete Paragraph after rearrangement: It had all started when her father mentioned that he was undertaking a trip to the village, invoking in his daughter an enthusiastic wish to accompany him. He agreed, and they embarked on their village journey together, not realizing the impact it would have on the little girl. Much to her father's surprise, she fell in love with the village at first glance and expressed a desire to spend more time there. "We should extend our visit, father," the young girl insisted, completely enchanted by the rustic charm of the village. Her father, who had originally planned a brief visit, found himself trying to convince his daughter that it was time to return home. Posing a gentle smile, the father promised his persistent daughter that they would revisit the village, thus finally persuading her to head home.

The correct answer is option (5) i.e. ‘F’.

Key Points

• The correct sequence after rearrangement is C-D-E-A-B-F.
• Sentence 1 (C): This is the first sentence of the passage as it introduces the idea of the trip to the village and the daughter's enthusiasm to accompany her father. It's the beginning of the whole story.
• Sentence 2 (D): This sentence becomes the second one as it precisely follows the first. After the father agrees to accompany her, it tells us about the start of their journey to the village, continuing the narrative logically from where the first sentence left off.
• Sentence 3 (E): This sentence shows the immediate reaction of the daughter when she first sees the village, declaring her love for it. It indicates how the journey is starting to have an impact on the girl, iterating further on their ongoing journey, making a logical continuation from the second sentence.
• Sentence 4 (A): The fourth sentence builds on the sentiment expressed in the third sentence. It shows the daughter's insistence on extending their visit to the village, reflecting her affection that was mentioned in the third sentence.
• Sentence 5 (B): The fifth sentence shows the father's reaction in response to his daughter's insistence portrayed in the fourth sentence. He had intended the visit to be brief and now finds himself persuading his daughter to return home.
• Sentence 6 (F): As the final sentence, this wraps up the story nicely, showing the father's gentle promise to his daughter to return to the village, therefore resolving the conflict presented in the fifth sentence.

Hence, the LAST sentence is Sentence F.

Complete Paragraph after rearrangement: It had all started when her father mentioned that he was undertaking a trip to the village, invoking in his daughter an enthusiastic wish to accompany him. He agreed, and they embarked on their village journey together, not realizing the impact it would have on the little girl. Much to her father's surprise, she fell in love with the village at first glance and expressed a desire to spend more time there. "We should extend our visit, father," the young girl insisted, completely enchanted by the rustic charm of the village. Her father, who had originally planned a brief visit, found himself trying to convince his daughter that it was time to return home. Posing a gentle smile, the father promised his persistent daughter that they would revisit the village, thus finally persuading her to head home.

The correct answer is 'E.'

Key Points

• Let us explore the options:-
• 'Cancelling' means To decide or announce that something will not take place.
• 'Issued' means To give or say something to somebody officially.
• 'Journalists' means People who write for newspapers, magazines, or news websites or prepare news to be broadcast.
• 'Frequent' means Occurring or done many times at short intervals.
• 'Enterants': There is no such word in English or we can say that there is some spelling mistake in this word.
• ​The correct spelling is 'Entrants' means A person or group that enters or takes part in something.
  

Hence, the correct answer is option 5.

Correct Sentence: By canceling all visas that had been issued earlier to Afghan citizens, including government officials, journalists, and other frequent visitors, India has turned friends into unwanted entrants.

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Additional Information

• The synonyms of the word 'Entrants' are "Candidates, Entries, Probationers".
• Example of 'Entrants' in a sentence:
• New entrants to the job market are considerably better educated than workers who are retiring.

The correct answer is 'C.'

Key Points

• Let us explore the options:-
• 'Despite' means Without being affected by; in spite of.
• 'Completion' means The action or process of completing or finishing something.
• 'Dilimitation': There is no such word in English or we can say that there is some spelling mistake in this word.
• ​The correct spelling is 'Delimitation' means The action of fixing the boundary or limits of something.
• 'Exercise' means Activity requiring physical effort, carried out to sustain or improve health and fitness.
• 'Announced' means To make a formal public statement about a fact, occurrence, or intention.
  

Hence, the correct answer is option 3.

Correct Sentence: Despite the completion of the delimitation commission’s exercise, Legislative Assembly elections have still to be announced.

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Additional Information

• The synonyms of the word 'Delimitation' are "Bound, Circumscribe, Limit".
• Example of 'Delimitation' in a sentence:
• Set the delimitation or boundaries of your proposed research in order to provide a clear focus.

The correct answer is 'B.'

Key Points

• Let us explore the options:-
• 'Illegal' means Not allowed by the law.
• 'Acsentuating': There is no such word in English or we can say that there is some spelling mistake in this word.
• ​The correct spelling is 'Accentuating' means To make something more noticeable or prominent.
• 'Undesired' means Not wanted or desired.
• 'Environmental' means Relating to the natural world and the impact of human activity on its condition.
• 'Consequences' means Results or effects, typically one that is unwelcome or unpleasant.
  

Hence, the correct answer is option 2.

Correct Sentence: The problem of illegal mining of minor minerals is often under-estimated, thus accentuating undesired environmental consequences.

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Additional Information

• The synonyms of the word 'Accentuating' are "Accent, Highlight, Spotlight".
• Example of 'Accentuating' in a sentence:
• Elegant interior design is accentuating the unique feeling of space.

The correct answer is 'E.'

Key Points

• Let us explore the options:-
• 'Likelihood' means The state or fact of something's being likely; probability.
• 'Incarceration' means The state of being confined in prison; imprisonment.
• 'Accused' means To charge someone with an offense or crime.
• 'Eventually' means In the end, especially after a long delay, dispute, or series of problems.
• 'Innocant': There is no such word in English or we can say that there is some spelling mistake in this word.
• ​The correct spelling is 'Innocent' means Not guilty of a crime or offense.
  

Hence, the correct answer is option 5.

Correct Sentence: The likelihood that many would face long incarceration as PMLA accused, even though eventually found innocent has just increased manifold.

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Additional Information

• The synonyms of the word 'Innocent' are "Guiltless, Blameless, Unimpeachable".
• Example of 'Innocent' in a sentence:
• She was found innocent of all charges.

The correct answer is 'E.'

Key Points

• Let us explore the options:-
• 'Currency' means A system of money in general use in a particular country.
• 'Prospects' means The possibility or likelihood of some future event occurring.
• 'Sustaining' means To undergo or suffer.
• 'Investment' means The action or process of investing money for profit.
• 'Recovry': There is no such word in English or we can say that there is some spelling mistake in this word.
• ​The correct spelling is 'Recovery' means A return to a normal state of health, mind, or strength.
  

Hence, the correct answer is option 5.

Correct Sentence: With a depreciating currency and rising (imported) inflation, prospects of sustaining investment recovery are likely to get harder.

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Additional Information

• The synonyms of the word 'Recovery' are "Improvement, Betterment, Revival".
• Example of 'Recovery' in a sentence:
• Economic recovery is already underway.

The correct answer is 'B' i.e. this part of the sentence has an error.

Key Points

• In the second part of the given sentence, the use of the relative pronoun 'who' is incorrect.
• The relative pronoun 'who' is used for saying exactly which person or what kind of person you are talking about.
• Example: The woman who I work for is very nice.
• Instead of 'who' or 'which', the relative pronoun 'that' is used after adjectives in the superlative degree.
• The relative pronoun 'that' is used for the person or thing already mentioned.
• Example: I am reading the book that won the award.
• Therefore, the pronoun 'that' should be used in place of the pronoun 'who'.
  

Hence, the correct answer is option 2.

Correct Sentence: The result was the best that could be expected under the circumstances.

The correct answer is 'C' i.e. this part of the sentence has an error.

Key Points

• In the third part of the given sentence, the use of the preposition 'than' is incorrect.
• The preposition 'than' is used when you are comparing two things.
• The verb 'prefer' in the sentence means to like or want someone or something more than someone or something else.
• When used to state a preference for one thing over another, the verb 'prefer' is usually followed by the preposition 'to'.
• The preposition 'to' is used to introduce the second part of a comparison.
• Therefore, the preposition 'to' should be used in place of the preposition 'than'.
  

Hence, the correct answer is option 3.

Correct sentence: People prefer mobile games to story books.

Additional Information

• Prefer … than, prefer … more than and prefer … instead of are incorrect.

The correct answer is 'B' i.e. this part of the sentence has an error.

Key Points

• In the second part of the given sentence, the singular form of the noun 'aim' is incorrect.
• The phrase ''One of'' in the given sentence is a singular term and is generally used to talk about a noun or a pronoun.
• The noun or a pronoun used after the phrase ''one of'' is always in the plural form (as we are talking of one person/place/thing out of many).
• For Example:
• ​One of the key to happiness is a bad memory.

• One of the keys to happiness is a bad memory.

• Therefore, the plural form of the noun 'aims' should be used in place of the singular noun 'aim.'
  

Hence, the correct answer is option 2.

Correct sentence: One of the aims of Ethnography is to contribute to an understanding of the human race.

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Additional Information

• The helping verb will always be in the singular form (here, is), as the helping verb agrees with ''one of'' and not with the plural noun in the sentence.
• For Example:
• ​One of the keys to happiness are a bad memory.

• One of the keys to happiness is a bad memory.

The correct answer is No Error.

Key Points

All the parts of the sentence are grammatically correct and require no correction. Here the usage of the idiom Bag and Baggage is grammatically and contextually correct.

• Bag and Baggage: All of one's belongings, especially with reference to departing with them; completely, totally. 
• For example, The day he quit his job, John walked out, bag and baggage.

Therefore, option 5) is the correct answer.

The sentence is: After planting the time bomb, the terrorist quickly left the building bag and baggage.

Additional Information

Origin of the idiom: Originating in the 1400s, this phrase at first meant an army's property, and to march off bag and baggage meant that the departing army was not leaving anything behind for the enemy's use. By the late 1500s, it had been transferred to mean other belongings in general.

The correct answer is option 1 i.e A

Key Points

• Article 'a' should be used with 'university'.
• Indefinite article 'a' is used when we are referring to an unspecified thing or quantity.
• The general rule is to use 'a' when the indefinite article precedes a word beginning with a consonant sound or any vowel with a consonant sound.
• 'University' though begins with a vowel has a consonant sound; hence, the article 'a' is used before university not article 'an'.
• Example: She goes to a university in Delhi. 

• NOT an university. 

Correct sentence: A university awards academic degrees, in various academic disciplines. 

Additional Information

• The indefinite article indicates that a noun refers to a general idea rather than a particular thing.
• Articles 'a' and 'an' are the indefinite articles.

The correct answer is 'Increment.'

Key Points

• The given sentence is talking about, the growth in annual salary that doesn't match the rate of inflation.
• Therefore, the most appropriate word to be filled in the blank is, 'Increment'.
• Also, the use of the word ''salary'' in the sentence indicates the use of the word 'increment' in the blank.
• The word 'Increment' means A regular increase in the amount of money that somebody is paid for his or her job. (वेतन में नियमित रूप से होने वाली वृद्धि; वेतन-वृद्धि)
• Example: Your first increment will be payable six months from your date of commencement.
  

Hence, the correct answer is option 1.

Complete Sentence: This year our annual salary increment doesn't match the rate of inflation.

Additional Information

• Let us explore  the other options:
• Abased means To behave in a way that belittles or degrades someone. (ऐसा व्यवहार करना जिससे किसी का अपमान हो)
• Mortify means To make somebody feel very embarrassed. (किसी को बहुत लज्जित या अपमानित कर देना)
• Adamant means Very sure; refusing to change your mind. (अपने मत पर अटल, दृढ़; अड़ियल)
• Indelible means Something that cannot be removed or washed out. (जो हटाया या धोया न जा सके; अमिट, अलोप्‍य, स्‍थायी)

The correct answer is 'Progress.'

Key Points

• The given sentence is talking about a peace negotiation that has been in advancement or progression for the last 25 years.
• Therefore, the most appropriate word to be filled in the blank is 'Progress'.
• Also, the use of the word ''negotiation'' in the sentence indicates the use of the word 'progress' in the blank.
• The word 'Progress' means Development towards an improved or more advanced condition.
• Example: We have made great progress in controlling inflation.
  

Hence, the correct answer is option 1.

Complete Sentence: A peace negotiation has been in progress for the last 25 years, and the hope is that this would culminate in a lasting settlement.

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Additional Information

• Let us explore  the other options:
• Congress means The action of coming together.
• Distress means Extreme anxiety, sorrow, or pain.
• Regress means The action of returning to a former or less developed state.
• Suppress means To stop something by using force.

The correct answer is 'Warning.'

Key Points

• The given sentence is talking about considering super-hot summer as a caution or alert.
• Therefore, the most appropriate word to be filled in the blank is 'Warning'.
• Also, the use of the word ''extreme'' in the sentence indicates the use of the word 'warning' in the blank.
• The word 'Warning' means Something that tells you to be careful or tells you about something, usually something bad, before it happens.
• Example: The police have issued a warning about pickpockets.
  

Hence, the correct answer is option 3.

Complete Sentence: This year’s super-hot summer should be a warning, even if we have not yet learnt from earlier events of extreme temperatures, erratic rainfall, cloudbursts, and cyclones.

<br>

Additional Information

• Let us explore  the other options:
• Entertaining means To provide someone with amusement or enjoyment.
• Caning means To defeat heavily or punish severely.
• Banning means To officially or legally prohibit something.
• Earning means To obtain money in return for labor or services.

The correct answer is 'legacy'.

Key Points

• The given sentence is talking about how Socialism shaped the principal economic and social policies of the Indian government in the past and is a political legacy.
• Therefore, the most appropriate word to be filled in the blank is 'legacy'.
• The word 'legacy' means of relating to, associated with, or carried over from an earlier time, technology, business, etc.
• Example: The son carried on his father's legacy and took the position on the company's board of directors.

Hence, the correct answer is Option 1.

Additional Information

• Let us explore the other options:
• estate: all the money and property owned by a particular person, especially at death.
• device: a plan, method, or trick with a particular aim.
• capital: wealth in the form of money or other assets owned by a person or organization or available for a purpose such as starting a company or investing.
• fortune: chance or luck as an arbitrary force affecting human affairs.

The correct answer is 'Prevent.'

Key Points

• The given sentence is saying that scientific methods must be used by Enforcement agencies to stop and detect crime.
• Therefore, the most appropriate word to be filled in the blank is 'Prevent'.
• Also, the use of the word ''crime'' in the sentence indicates the use of the word 'prevent' in the blank.
• The word 'Prevent' means To stop something from happening or to stop somebody from doing something.
• Example: The Government has failed to tackle or prevent crime.
  

Hence, the correct answer is option 3.

Complete Sentence: Enforcement agencies must be allowed to use scientific methods to prevent and detect crime.

Additional Information

• Let us explore  the other options:
• Advent means The arrival of a notable person or thing.
• Fervent means Having or showing very strong feelings about something.
• Repent means To feel or express sincere regret or remorse about one's wrongdoing or sin.
• Invent means To think of or make something for the first time.

The correct answer is 'C-B.'

Key Points

• The given sentence says that after the troops departed from the country racked or devastated by war, a decline or relapse occurred when the citizens fall back on their unstable form of government.
• Let us explore the meaning of the highlighted words:
• Left - To go away from somewhere. (कहीं से दूर चले जाना)
• Resorted - To turn to and adopt a course of action, especially an extreme or undesirable one so as to resolve a difficult situation. (विवशता में किसी भी अरुचिकर उपाय का सहारा लेना)
• Regression - A return to a former or less developed state. (वापसी, प्रतीपगमन)
• Unstable - Likely to change or fail; not firmly established. (जो कभी भी बदल या गिर सकता है; डाँवाँडोल, अस्थिर)
• Thus, (C) and (B) must be interchanged.
  

Hence, the correct answer is option 2.

Correct Sentence: After our troops left the war-torn country, regression occurred when the citizens resorted to their unstable form of government.

The correct answer is option 3.

 Key Points To answer this question, let's first understand the meanings of the marked words:

• Attendance - the act of being present at a particular place or event (हाजरी)
• For Example -
• The teacher took attendance at the beginning of the class to see which students were present.
• Requiring - demanding or needing something as necessary (आवश्यकता होना)
• For Example -
• She is requiring additional time to complete the project.
• Pandemic - an outbreak of a disease that occurs on a global scale, affecting a large number of people and often crossing international boundaries (महामारी)
• For Example -
• The COVID-19 pandemic had a profound impact on the world's healthcare systems and economies.
• Gradually - in a slow or gradual manner, taking place over a period of time (धीरे-धीरे)
• For Example -
• She gradually improved her language skills by practising a little bit every day.
• After understanding the meanings of the marked words, we can conclude that in the given sentence, "attendance" should be interchanged with "pandemic" to make it grammatically correct because the sentence is about the pandemic's impact on office attendance.
• Similarly, "requiring" should be interchanged with "gradually" to clarify that the increase in office presence is happening slowly over time, making the sentence contextually correct.
• Hence, the correct answer is "C-A, D-B."

 

The correct sentence after the rearrangement would be: "Following the pandemic, the fin-tech firm gradually increased office attendance from one day per week initially to now requiring employees to be present at the physical office for four days each week."

Solution:

Company C sold digital watch = 192

Company C sold 60% of analog watch.

So, digital watch sold = 40%

40% = 192

60% = 288

Digital watch sold by company C = 192

Analog watch sold by company C = 288

Ratio of total sales of A : B : C = 7 : 9 : 6

6 = 480

Total sales of A = 480/6 × 7 = 560

Total sales of B = 480/6 × 9 = 720

Ratio of company A digital and analog watch sells = 5 : 3

8x = 560

x = 70

5x = 350

3x = 210

Sum of the analog and digital watch sales of Company C equals the number of analog watches sold by Company B

Analog watch sells in company B = 192 + 288 = 480

Hence, option(4) is correct.

Solution:

Company C sold digital watch = 192

Company C sold 60% of analog watch.

So, digital watch sold = 40%

40% = 192

60% = 288

Digital watch sold by company C = 192

Analog watch sold by company C = 288

Ratio of total sales of A : B : C = 7 : 9 : 6

6 unit = 480

Total sales of A = (480/6) × 7 = 560

Total sales of B = (480/6) × 9 = 720

Ratio of company A digital and analog watch sells = 5 : 3

8x = 560

x = 70

Digital watch sold by company A = 350

Analog watch sold by company A = 210

Percentage of Company A's total watch sales were analog watches = (210/560) × 100 = 37.5%

Hence, option (2) is correct.

Solution:

Company C sold digital watch = 192

Company C sold 60% of analog watch.

So, digital watch sold = 40%

40% = 192

60% = 288

Digital watch sold by company C = 192

Analog watch sold by company C = 288

Ratio of total sales of A : B : C = 7 : 9 : 6

6 unit = 480

Total sales of A = 480/6 × 7 = 560

Total sales of B = 480/6 × 9 = 720

Ratio of company A digital and analog watch sells = 5 : 3

8x = 560

x = 70

5x = 350

3x = 210

Sum of the analog and digital watch sales of Company C equals the number of analog watches sold by Company B

Analog watch sells in company B = 192 + 288 = 480

Total number of analog watches sold by all three companies = 210 + 480 + 288 = 978

Hence, option(3) is correct.

Concept used:

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved second, and following BODMAS rule in the bracket

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Calculations:

15 × 100 - 10 × 800 + 60 ÷ 6 = ? × 50 ÷ 10

⇒ 15 × 100 - 10 × 800 + 10 = ? × 5

⇒ 1500 - 8000 + 10 = ? × 5

⇒ -6490 = ? × 5

⇒ ? = -6490/5

⇒ ? = -1298

Hence, -1298 will come in the place of (?).

Concept used:

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved second, and following BODMAS rule in the bracket

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Calculations:

√256 - √169 × 7 + 18 × 10 + 140 – 12 = ?

⇒ 16 - 13 × 7 + 18 × 10 + 140 – 12 = ?

⇒ 16 - 91 + 180 + 140 – 12 = ?

⇒ 336 - 91 - 12

⇒ ? = 233

Hence, 233 will come in the place of (?).

Concept:

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following the BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Calculation:

Given expression is 

70% of 200 + 2 × ? = 12% of 5000

⇒ (70/100) × 200 + 2 × ? = (12/100) × 5000

⇒ 140 + 2 × ? = 0.12 × 5000

⇒ 2 × ? = 600 - 140

⇒ 2 × ? = 460

⇒ ? = 230

Hence, 230 will come in the place of (?).

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is

72 × 35 + 145 × 58 + 65 × 19 = ? - √324

⇒ 2520 + 8410 + 1235 = ? - √324

⇒ 2520 + 8410 + 1235 = ? - 18

⇒ 2520 + 8410 + 1235 + 18 = ?

⇒ ? = 12183

12183 will come in the place of (?).

Hence, The correct Answer is : None of these.

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is

35% of 500 + 55% of 600 = ? + 26% of 800

⇒ 175 + 330 = ? + 208

⇒ 175 + 330 - 208 = ?

⇒ ? = 297

Hence, 297 will come in the place of (?).

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is

550% of ? ÷ 110 + 250% of 300 ÷ 75 = 25

⇒ 550% of ? ÷ 110 + 750 ÷ 75 = 25

⇒ 550% of ? ÷ 110 + 10 = 25

⇒ 550% of ? = 15 x 110

⇒ 550% of ? = 1650

⇒ ? = 300

Hence, 300 will come in the place of (?).

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is

(25 + 68 - 42) + (54/9 × 4) = ? + 17

⇒ (25 + 68 - 42) + (6 × 4) = ? + 17

⇒ 51 + 24 = ? + 17

⇒ 51 + 24 - 17 = ?

⇒ ? = 58

Hence, 58 will come in the place of (?).

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is

78 × 16 + 285 + 648 - 17 × 25 = ?

⇒ 1248 + 285 + 648 - 425 = ?

⇒ 2181 - 425 = ?

⇒ ? = 1756

Hence, 1756 will come in the place of (?).

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is

[1250 ÷ 25 × 4 + (480 ÷ 60)] = ?

⇒ [1250 ÷ 25 × 4 + (8)] = ?

⇒ 50 × 4 + (8) = ?

⇒ 200 + 8 = ?

⇒ ? = 208

Hence, 208 will come in the place of (?).

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is

√2025 ÷ 9 × 3 of (15 - 7) + 40 = ?

⇒ 45 ÷ 9 × 3 of (8) + 40 = ?

⇒ 45 ÷ 9 × 24 + 40 = ?

⇒ 5 × 24 + 40 = ?

⇒ 120 + 40 = ?

⇒ ? = 160

Hence, 160 will come in the place of (?).

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is

36 - {(14 - 3 of 2 × 4) + 5 of 3} = ?

⇒ 36 - {(14 - 6 × 4) + 15} = ?

⇒ 36 - {(14 - 24) + 15} = ?

⇒ 36 - {(-10) + 15} = ?

⇒ 36 - 5 = ?

⇒ ? = 31

Hence, 31 will come in the place of (?).

Solution :

 Concept used :

 Follow the BODMAS rule to solve this question, as per the question is given below:

 Step 1: Parts of an equation enclosed in ' Brackets ' must be solved first and in the bracket,

 Step 2: Any mathematical ' of ' or 'exponent' must be solved next,

 Step 3: Next, The part of the equation that contains 'Division' and 'multiplication' are calculated,

 Step 4: Last but not least, the parts of the equation that contains 'Addition ' and 'Subtraction' should be calculated

 Given :

⇒440 - (34 × 5)   =  ?² - 91% of 100

⇒440 - (170)  =  ?² - 91 × 100 / 100

⇒440 - 170 =  ?² - 91

⇒270 + 91 = ?²

⇒361 = ?²

⇒(19)^2×1/2 = ?^2×1/2

⇒19 = ? 

Hence 19 is the correct answer.

Given:

Number of accounts opened (in hundreds) in four share broker in various months

 

Calculation:

The month in which total accounts opened is maximum will also have the maximum average

The total number of account opened in Jan = (25 + 22 + 30 + 35)

⇒ 112

The total number of account opened in Feb = (28 + 18 + 45 + 42)

⇒ 133

The total number of account opened in March = (35 + 32 + 50 + 45)

⇒ 162

The total number of account opened in April = (65 + 30 + 35 + 50)

⇒ 180

As we can see the total accounts opened in April is the maximum, so the average will also be maximum (Since the total number of Accounts is 4 in each month so each term will be divided by 4)

∴ The maximum average of accounts opened is in April.

Given:

Number of accounts opened (in hundreds) in four share broker in various months

 

Calculation:

The number of accounts opened in April = (65 + 30 + 35 + 50)

⇒ 180

The number of accounts opened in Feb = (28 + 18 + 45 + 42)

⇒ 133

Required percentage = [(180 – 133)/133] × 100

⇒ (47/133) × 100

⇒ 35.33

∴ Required percentage is 35.33%

Given:

Number of accounts opened (in hundreds) in four share broker in various months

 

Calculation:

Average is directly proportional to the total sum:

The greater the sum, the greater the average is:

The total number of account opened by A in all the month = (25 + 28 + 35 + 65)

⇒ 153

The total number of account opened by B in all the month = (22 + 18 + 32 + 30)

⇒ 102

The total number of account opened by C in all the month = (30 + 45 + 50 + 35)

⇒ 160

The total number of account opened by D in all the month = (35 + 42 + 45 + 50)

⇒ 172

∴ The average number of accounts opened is the maximum in D

Given:

Number of accounts opened (in hundreds) in four share broker in various months

 

Calculation:

To take the average is not needed as we can get the answer by total sum only.

The total number of accounts opened of D = (35 + 42 + 45 + 50)

⇒ 172

Average = 172/4

The total number of accounts opened of B = (22 + 18 + 32 + 30)

⇒ 102

Average = 102/4

Required percentage = [(172/4 – 102/4)/102/4] × 100

⇒ [70/102] × 100

⇒ 68.62

∴ Required percentage is 68.62

Given:

Number of accounts opened (in hundreds) in four share broker in various months

The total number of accounts opened of Jan = (25 + 22 + 30 + 35)

⇒ 112 x 100 = 11200

 ∴ Required answer is 11200

Solution:

Let the CP of the article is Rs. 100x

MP = 180/100 × 100x = 180x

Discount = Rs. 160

SP = MP - Discount

= 180x - 160          .............(i)

Also SP = CP + Profit

= 100x + 200        ...........(ii)

By equation (i) and (ii)

180x - 160 = 100x + 200

80x = 360

x = 36/8

CP of the article = 100x

= 100 × 36/8 = Rs. 450

Hence, option(4) is correct.

Let the length of the train be x m.

Time taken by the train to cross 100 m platform = (x + 0.1)/144 h = 30/(60 × 60) h (given)

⇒ x + 0.1 = 144 × 0.5/60 = 1.2

⇒ x = 1.1

∴ The length of train is 1.1 km

Given:

The ratio of the division of sum = 3 ∶ 2

Rate of interest on two schemes A and B respectively = 4% and 8%

Time for which it was invested in A and B respectively= 4, 2 years

Sum of SI = Rs. 1200

Formula used:

SI = PNR/100

P – Principal, N – Number of terms, R – Rate of interest

Calculation:

As the ratio of the sum is 3 ∶ 2, The amount will be 3x and 2x.

The amount obtained on scheme A = 3x × 4 × 4/100

The amount obtained on scheme A = 48x/100

The amount obtained on scheme B = 2x × 8 × 2/100

The amount obtained on scheme B = 32x/100

Sum of SI = 1200

⇒ 48x/100 + 32x/100 = 12,00

⇒ 80x/100 = 1200

⇒ x = 1500

Total amount he invested = 5x = 5 × 1500 = Rs. 7500

∴ The amount invested is Rs. 7500.

Solution:

Let's denote: A to be the present age of person A. B to be the present age of person B.

From the problem, we know that:

A/B = 4/5, which means A = (4/5) × B

A + 2 = 13/11 × (B - 8)

We can start solving this problem by substituting A from our first equation into the second equation:

(4/5) × B + 2 = 13/11 × (B - 8)

Multiplying all terms by 55 (to clear out the fractions), we get:

44B + 110 = 65B - 520

Solving for B, we get:

21B = 630

Which gives us B = 30.

Substituting B back into the first equation:

A = (4/5) × 30 = 24.

So, person A is 24 years old.

Calculations:

(I) x2 - 6x + 9 = 0

 ⇒  x² - 3x - 3x + 9 = 0

 ⇒ x(x - 3) -3(x - 3) = 0

 ⇒ (x - 3) (x - 3) = 0

 ⇒   x = 3, 3

(II)  y2 + 8y + 16 = 0

 ⇒   y² + 4y + 4y +16 = 0

 ⇒   y(y + 4) + 4(y + 4) = 0

 ⇒   (y + 4) (y + 4) = 0 

 ⇒     y = - 4 , - 4 

Hence x > y.

Solutions:

For I:

y2 – 6y – 112 = 0

⇒ y2 – 14y + 8y – 112 = 0

⇒ y(y – 14) + 8(y – 14) = 0

⇒ (y – 14) (y + 8) = 0

⇒ y = 14, -8

For II:

 x2 + 3x – 40 = 0

⇒ x2 + 8x – 5x – 40 = 0

⇒ x(x + 8) – 5(x + 8) = 0

⇒ (x + 8) (x – 5) = 0

⇒ x = -8, 5

Comparison between x and y (via Tabulation):

So x = y or relation between x and y can not be established.

Solutions:

For I:

x2 – 2x – 48 = 0

⇒ x2 – 8x + 6x – 48 = 0

⇒ x(x – 8) + 6(x – 8) = 0

⇒ (x + 6) (x – 8) = 0

⇒ x = -6, 8

For II:

y2 – 4y – 252 = 0

⇒ y2 – 18y + 14y – 252 = 0

⇒ y(y – 18) + 14(y – 18) = 0

⇒ (y – 18) (y + 14) = 0

⇒ y = 18, -14

Comparison between x and y (via Tabulation):

So x = y or relation between x and y can not be established.

Calculation:

From I equation

(I) 2x2  + 9x - 45 = 0

⇒ 2x² + 15x - 6x - 45  = 0 

⇒ x(2x + 15) - 3(2x + 15) = 0

⇒ (2x +15) (x - 3) = 0 

⇒ x = - (15/2) = - 7.5 or x = 3

⇒ x = -7.5 or 3.

(II) 2y2 + 5y - 52 = 0

⇒ 2y² + 13y - 8y - 52 = 0

⇒ y(2y + 13) - 4(2y + 13) = 0

⇒ (2y + 13) (y - 4) = 0

⇒ y = - (13/2) = - 6.5 or y = 4.

⇒ y = -6.5 or 4.

Hence, there is no relation can be established between them.

Shortcut Trick 

I. 9x2 – 15x + 4 = 0

There are three terms = a, b, and c

Where 'a' = value of x2, 'b' = Value of x, 'c' = 4

If value of 'c' is positive value and value of 'b' is negative value, then both the values of x is POSITIVE value.

II. 7y2 + 18y + 8 = 0

There are also three terms = a, b, and c

Where 'a' = value of y2, 'b' = Value of y, 'c' = 8

If the value of 'c' is a positive value and the value of 'b' is also a positive value, then both value of y is NEGATIVE value.

∴ After comparison, all the values of x and y, the relation between x and y is "x > y".

Given:

I. 9x2 – 15x + 4 = 0

II. 7y2 + 18y + 8 = 0

Calculation:

I. 9x2 – 15x + 4 = 0

⇒ 9x² – 12x – 3x + 4 = 0

⇒ 3x(3x – 4) – 1(3x – 4)= 0

⇒ (3x – 4)(3x – 1) = 0

⇒ x = 4/3, 1/3

II. 7y2 + 18y + 8 = 0

⇒ 7y² + 14y + 4y + 8 = 0

⇒ 7y(y + 2) + 4(y + 2) =0

⇒ (y + 2)(7y + 4) = 0

⇒ y = (-2), (-4/7)

 

When we compared the values of ‘x’ and ‘y’ in the table above, we found that there is only ONE relation between X and Y i.e. >. So, a relation between x and y is “x > y”.

∴ After comparison, all the values of x and y the relation is “x > y”.

Given:

Sum of the perimeter of rectangle and circle = 138 cm

The ratio between the length of rectangle and radius of circle = 10: 7

The breadth of Rectangle = 5/14 × Radius of Circle

Formula Used:

Perimeter of rectangle = 2(length + breadth)

The perimeter of circle = 2πr

Area of rectangle = (length × breadth)

Calculation:

Suppose the length of the rectangle and the radius of the circle is 10x and 7x, respectively.

Breadth of the rectangle = 5/14 × (7x) = 5x/2

According to question –

Sum of the perimeter of rectangle and circle = 138 cm

⇒ 2(10x + 5x/2) + 2π(7x) = 138

⇒ 25x + 44x = 138

⇒ 69x = 138

⇒ x = 138/69

⇒ x = 2

Length of rectangle = 10x = 20 cm

Breadth of rectangle = 5x/2 = 5 cm

∴ Area of the rectangle = length × breadth

⇒ (20 × 5)

⇒ 100 cm²

Given :

There are four consecutive even numbers, such that the average of the last and the first number is 11.

Calculations :

Let the numbers be 2x, (2x + 2), (2x + 4) and (2x + 6)             (numbers are even)

According to the question 

Average of the first and the last is 11 

So, 

(2x + 2x + 6)/2 = 11 

⇒ 4x + 6 = 22 

⇒ 4x = 16 

⇒ x = 4 

So the number are 8, 10, 12 and 14 

Difference between the second and the third number = 12 - 10 

⇒ 2 

∴ The correct answer will be option number 2 

Alternate Method

Calculations:

Here, all four numbers are consecutive even number and the difference between two consecutive even number is 2.

So, the difference between the second and the third number is 2

∴ The correct answer will be option number 2

Shortcut Trick

Savings of A = 100% − 85% = 15% of salary A.

Savings of B = 100% − 95% = 5% of salary B.

Since Savings are equal: 15% of A = 5% of B ⇒ 3A = 1B ⇒ A : B = 1 : 3.

Total Ratio parts = 1 + 3 = 4 units → ₹40000. So, 1 unit = ₹10000.

∴ The correct answer is ₹10,000.

Alternate Method

Given: Total salary = ₹40,000. Expenditure of A = 85%, Expenditure of B = 95%. Savings are equal.

⇒ Savings of A = (100 − 85)% of A = 15% of A

⇒ Savings of B = (100 − 95)% of B = 5% of B

⇒ 15% × A = 5% × B

⇒ A / B = 5 / 15 = 1 / 3

⇒ Sum of ratios = 1 + 3 = 4

⇒ Salary of A = (1 / 4) × 40000

⇒ Salary of A = ₹10,000

∴ The correct answer is ₹10,000.

Additional Information

Income Expenditure Formula

Income = Expenditure + Savings. This basic identity is used to calculate missing components when percentages are given.

Ratio of Salaries

If savings are equal, the ratio of salaries is inversely proportional to the savings percentage: Salary₁ × Savings%₁ = Salary₂ × Savings%₂.

Percentage to Fraction Conversion

To simplify calculations, convert percentages to fractions: 5% = 1/20, 15% = 3/20.

( A + B + C ) in 25 days 

Alone C in 50 days 

Total work in LCM of 25 and 50 is 50 unit 

So, efficiency of A + B + C is 2 unit and C is 1 unit 

All A, B and C working for 20 days 

Then work is during 20 days = 20 × 2 unit = 40 unit 

Then A and B left the work,

Remaining work to be completed by C = ( 50 - 40 ) = 10 unit 

Days taken by C to complete this work = 10 /1 = 10 days 

Hence 10 days is the correct answer.

Given:

Distance covered in 4 hours in upstream = 28 km

Distance covered in 2 hours in downstream = 50 km

Formula used:

Speed of an object in downstream = x + y

Speed of an object in upstream = x – y

Speed of object in still water, x = (D + U)/2

Speed of stream, y = (D - U)/2

where,

D = Speed of object in downstream

U = Speed of object in upstream

Calculation:

Speed of object in upstream = 28/4

⇒ 7 km/h

Speed of object in downstream = 50/2

⇒ 25 km/h

Speed of object in still water, x = (D + U)/2

⇒ x = (7 + 25)/2

⇒ 16 km/h

Time taken to cover 32 km in still water

⇒ 32/16

⇒ 2 hours

∴ Ujjwal will take 2 hours to cover 32 km in still water.

Given :

Ratio of investment of A : B = 5 : 6

Ratio of investment of B : C = 3 : 7

A, B, and C invested for 12 months, 10 months, and 10 months respectively.

Profit share of A = 1740 Rs.

Calculation :

Ratio of investment for A : B : C = 5 : 6 : 7 × 2 = 5 : 6 : 14

Ratio of time period for A : B : C = 12 : 10 : 10 = 6 : 5 : 5

Ratio of profit earned by A : B : C = 5 × 6 : 6 × 5 : 14 × 5 = 30 : 30 : 70 = 3 : 3 : 7

Let the profit share of C = x

ATQ, 1740/x = 3/7

⇒ x = 4060 Rs.

Hence, the correct answer is 4060 Rs.

Given:

Eight boxes - P, Q, R, S, T, U, V and W

The bottommost box is numbered 1 while the box above it is 2, and so on.

Now,

1) Box U is a prime-numbered box but not box 5.

2. The number of boxes above W is equal to the number of boxes below box U.

3. Box number of box S is twice of box number of box V.

4. Box P is just above box U.

 

5. Box Q is two boxes above box T. This is not possible in Cases II and III.

Thus, the final arrangement is -

 

Box U is just above box S.

The correct answer is U.

Given:

Eight boxes - P, Q, R, S, T, U, V and W

The bottommost box is numbered 1 while the box above it is 2, and so on.

Now,

1) Box U is a prime-numbered box but not box 5.

2. The number of boxes above W is equal to the number of boxes below box U.

3. Box number of box S is twice of box number of box V.

4. Box P is just above box U.

 

5. Box Q is two boxes above box T. This is not possible in Cases II and III.

Thus, the final arrangement is -

 

Seven boxes are below box R.

The correct answer is Seven.

Given:

Eight boxes - P, Q, R, S, T, U, V and W

The bottommost box is numbered 1 while the box above it is 2, and so on.

Now,

1) Box U is a prime-numbered box but not box 5.

2. The number of boxes above W is equal to the number of boxes below box U.

3. Box number of box S is twice of box number of box V.

4. Box P is just above box U.

 

5. Box Q is two boxes above box T. This is not possible in Cases II and III.

Thus, the final arrangement is -

 

Box W is just above box T.

The correct answer is W.

Given:

Eight boxes - P, Q, R, S, T, U, V and W

The bottommost box is numbered 1 while the box above it is 2, and so on.

Now,

1) Box U is a prime-numbered box but not box 5.

2. The number of boxes above W is equal to the number of boxes below box U.

3. Box number of box S is twice of box number of box V.

4. Box P is just above box U.

 

5. Box Q is two boxes above box T. This is not possible in Cases II and III.

Thus, the final arrangement is -

 

V is the bottommost box.

The correct answer is V.

Given:

Eight boxes - P, Q, R, S, T, U, V and W

The bottommost box is numbered 1 while the box above it is 2, and so on.

Now,

1) Box U is a prime-numbered box but not box 5.

2. The number of boxes above W is equal to the number of boxes below box U.

3. Box number of box S is twice of box number of box V.

4. Box P is just above box U.

 

5. Box Q is two boxes above box T. This is not possible in Cases II and III.

Thus, the final arrangement is -

 

There are four boxes above box P.

The correct answer is Four.

The least possible Venn diagram is:

Conclusions:

I. Some jacket can be sweater → TRUE (In the statement it is given that only some jacket are not sweater, but other part of jacket can be sweater).

II. At least some coat are jacket → TRUE (As some inner are coat and all part of inner is jacket, so some coat are jacket follows).

"Both conclusion I and II follows."

The least possible Venn diagram is:

Conclusions:

I). Some earth are definitely not sun → FALSE (There is no direct relation given between earth and sun)

II). At least some sky are not star → TRUE (No star is earth and some part of earth is sky that is not star, thus the conclusion some sky are not star is correct)

"Only conclusion II follows".

The least possible Venn diagram is:

Conclusions:

I) All screen can be mouse → False (No Monitor is Mouse and "All monitor are screen" so all screen can be mouse is not a possibility.)

II) All mouse being scanner is a possibility → True (There is no direct relation between mouse and scanner, thus the possibility is true here).

"Only conclusion II follows".

Given numbers: 472 209 593 196 765

Sum of first and fourth number = (472 + 196) = 668

Twice of second number = 2 × 209 = 418

Difference = 668 – 418 = 250

 ‘250’ is the correct answer.

Given numbers: 472 209 593 196 765

196 is the only perfect square and 14 is the square root of 196.

1. 472 → 472 ÷ 14, Remainder = 10
2. 209 → 209 ÷ 14, Remainder = 13
3. 593 → 593 ÷ 14, Remainder = 5
4. 765 → 765 ÷ 14, Remainder = 9

 ‘593’ is the correct answer.

Given numbers: 472 209 593 196 765

The square of the third digit of the third number = 3² = 9

The square of the first digit of the first number = 4² = 16

Numbers between 9 and 16 is 10, 11, 12, 13, 14 and 15.

 ‘six’ is the correct answer.

Given numbers: 472 209 593 196 765

On interchanging second and third digit of each number: 427 290 539 169 756

So, only 169 is a perfect square.

 ‘one’ is the correct answer.

Given numbers: 472 209 593 196 765

On adding 1 to each number: 473 210 594 197 766

 ‘one’ new numbers (197) will be prime numbers.

Three pairs are there in the word 'DICTIONARY', each of which has as many letters between them in the word (both forward and backward direction) as they have between them in the English Alphabet.

Mistake Points In this type of question we have to count from A to Z, reverse counting Z to A is not considered. Therefore Y- A is not the correct pair

Given:

Eight persons - A, B, C, D, E, F, G, and H

Four of them sit at four corners facing toward the center.

Four sit at the middle of the sides facing outside.

Now,

1) G does not sit at the corner. 

2) D sits second to the left of A who sits third left of G.

3) C sits third to the left of B who is not a neighbour of G.

The possibilities are -

4. Only two persons sit between F and H who sits opposite to E. This is not possible in Case II and Case III.

Thus, the final arrangement is -

Except E, all are sitting at the corners.

The correct answer is E.

Given:

Eight persons - A, B, C, D, E, F, G, and H

Four of them sit at four corners facing toward the center.

Four sit at the middle of the sides facing outside.

Now,

1) G does not sit at the corner. 

2) D sits second to the left of A who sits third left of G.

3) C sits third to the left of B who is not a neighbour of G.

The possibilities are -

4. Only two persons sit between F and H who sits opposite to E. This is not possible in Case II and Case III.

Thus, the final arrangement is -

D is third to the right of B.

The correct answer is D.

Given:

Eight persons - A, B, C, D, E, F, G, and H

Four of them sit at four corners facing toward the center.

Four sit at the middle of the sides facing outside.

Now,

1) G does not sit at the corner. 

2) D sits second to the left of A who sits third left of G.

3) C sits third to the left of B who is not a neighbour of G.

The possibilities are -

4. Only two persons sit between F and H who sits opposite to E. This is not possible in Case II and Case III.

Thus, the final arrangement is -

A faces C.

The correct answer is A.

Given:

Eight persons - A, B, C, D, E, F, G, and H

Four of them sit at four corners facing toward the center.

Four sit at the middle of the sides facing outside.

Now,

1) G does not sit at the corner. 

2) D sits second to the left of A who sits third left of G.

3) C sits third to the left of B who is not a neighbour of G.

The possibilities are -

4. Only two persons sit between F and H who sits opposite to E. This is not possible in Case II and Case III.

Thus, the final arrangement is -

Five persons sit between F and A when counted from the right of F.

The correct answer is Five.

Given:

Eight persons - A, B, C, D, E, F, G, and H

Four of them sit at four corners facing toward the center.

Four sit at the middle of the sides facing outside.

Now,

1) G does not sit at the corner. 

2. D sits second to the left of A who sits third left of G.

3) C sits third to the left of B who is not a neighbour of G.

The possibilities are -

4. Only two persons sit between F and H who sits opposite to E. This is not possible in Case II and Case III.

Thus, the final arrangement is -

B sits second to the right of E.

The correct answer is B.

In a certain coding language,

BIRD is written as DRIB

The pattern for the code is as follows,

The group letters in the word interchange their places in the code.

ROAD is written as DAOR.

Eight members: A, B, C, D, E, F, G and H.

1. D is married to A’s sister.
2. F is the mother of A.
3. H is father-in-law of D and C is the granddaughter of F.

4. F is sister-in-law of B. F does not have siblings
5. G is the nephew of A. A is unmarried.
6. H has two daughters.

7. Male members in a family are less than female members in a family.

Thus, G is the grandson of H.

Eight members: A, B, C, D, E, F, G and H.

1. D is married to A’s sister.
2. F is the mother of A.
3. H is father-in-law of D and C is the granddaughter of F.

4. F is sister-in-law of B. F does not have siblings
5. G is the nephew of A. A is unmarried.
6. H has two daughters.

7. Male members in a family are less than female members in a family.

If H is related to E in the same way as D is related to C.

Eight members: A, B, C, D, E, F, G and H.

1. D is married to A’s sister.
2. F is the mother of A.
3. H is father-in-law of D and C is the granddaughter of F.

4. F is sister-in-law of B. F does not have siblings
5. G is the nephew of A. A is unmarried.
6. H has two daughters.

7. Male members in a family are less than female members in a family.

If P is the son of B, 

A is the cousin of P.

Given:

Seven persons

Seven designations - Chief Executive Officer (CEO), Chief Operating Officer (COO), Chief Financial Officer (CFO), Chief Technology Officer (CTO), Chief Marketing Officer (CMO), Chief Legal Officer (CLO) and Chief Information Officer (CIO).

The order of seniority is the same as given above - (CEO) is the senior-most designation and (CIO) is the junior-most designation. 

Now,

1) Three designations are there between D and E.

2. D is not the senior most person but senior to the person who is CTO.

3. One person has a designation between G and H.

4. E is just junior to H. 

5) G is junior to E. So cases I and III get eliminated.

6) C is senior to H.

7) B is senior to C but junior to A.

Thus, the final arrangement is -

 

Three persons are designated between H and A.

The correct answer is Three.

Given:

Seven persons

Seven designations - Chief Executive Officer (CEO), Chief Operating Officer (COO), Chief Financial Officer (CFO), Chief Technology Officer (CTO), Chief Marketing Officer (CMO), Chief Legal Officer (CLO) and Chief Information Officer (CIO).

The order of seniority is the same as given above - (CEO) is the senior-most designation and (CIO) is the junior-most designation. 

Now,

1) Three designations are there between D and E.

2. D is not the senior most person but senior to the person who is CTO.

3. One person has a designation between G and H.

4. E is just junior to H. 

5) G is junior to E. So cases I and III get eliminated.

6) C is senior to H.

7) B is senior to C but junior to A.

Thus, the final arrangement is -

 

E is immediately senior to G.

The correct answer is E.

Given:

Seven persons

Seven designations - Chief Executive Officer (CEO), Chief Operating Officer (COO), Chief Financial Officer (CFO), Chief Technology Officer (CTO), Chief Marketing Officer (CMO), Chief Legal Officer (CLO) and Chief Information Officer (CIO).

The order of seniority is the same as given above - (CEO) is the senior-most designation and (CIO) is the junior-most designation. 

Now,

1) Three designations are there between D and E.

2. D is not the senior most person but senior to the person who is CTO.

3. One person has a designation between G and H.

4. E is just junior to H. 

5) G is junior to E. So cases I and III get eliminated.

6) C is senior to H.

7) B is senior to C but junior to A.

Thus, the final arrangement is -

 

Five persons are junior to D.

The correct answer is Five.

Given:

Seven persons

Seven designations - Chief Executive Officer (CEO), Chief Operating Officer (COO), Chief Financial Officer (CFO), Chief Technology Officer (CTO), Chief Marketing Officer (CMO), Chief Legal Officer (CLO) and Chief Information Officer (CIO).

The order of seniority is the same as given above - (CEO) is the senior-most designation and (CIO) is the junior-most designation. 

Now,

1) Three designations are there between D and E.

2. D is not the senior most person but senior to the person who is CTO.

3. One person has a designation between G and H.

4. E is just junior to H. 

5) G is junior to E. So cases I and III get eliminated.

6) C is senior to H.

7) B is senior to C but junior to A.

Thus, the final arrangement is -

 

CFO is the designation of B

The correct answer is CFO.

Given:

Seven persons

Seven designations - Chief Executive Officer (CEO), Chief Operating Officer (COO), Chief Financial Officer (CFO), Chief Technology Officer (CTO), Chief Marketing Officer (CMO), Chief Legal Officer (CLO) and Chief Information Officer (CIO).

The order of seniority is the same as given above - (CEO) is the senior-most designation and (CIO) is the junior-most designation.

Now,

1. Three designations are there between D and E.

2. D is not the senior most person but senior to the person who is CTO.

3. One person has a designation between G and H.

4. E is just junior to H.

5. G is junior to E. So cases I and III get eliminated.

6. C is senior to H.

7. B is senior to C but junior to A.

Thus, the final arrangement is -

 

C is the CTO.

The correct answer is C.

The logic is:

1. Second letter of every term except "AZC" is two forward letter of first letter according to alphabet order.
2. Third letter of every term except "AZC" is reverse order letter of second letter according to alphabet order.
   

AZC is the odd one out.

 

Clearly, no meaningful word is possible.

So, X is the correct answer.

The logic follows here is :-

Given series :

Left side E 4 W 2 G 6 @ S 5 8 X A ! I M 9 & Q ^ J L # 7 * C $ G V % K Right side

 8th to the right of 14th from the left end → 14th from left end + 8th to right of 14th → 22nd from left end 

Clearly, 22nd from left end is '#'.

Thus, the correct answer is "#".

The logic follows here is :-

Given series :

Left side E 4 W 2 G 6 @ S 5 8 X A ! I M 9 & Q ^ J L # 7 * C $ G V % K Right side

Vowels that are which is immediately preceded by a symbol and immediately followed by a consonant is :

E 4 W 2 G 6 @ S 5 8 X A ! I M 9 & Q ^ J L # 7 * C $ G V % K

Hence, there is only one vowel which is immediately preceded by a symbol and immediately followed by a consonant.

Thus, the correct answer is "One".

The logic follows here is :-

Given series :

E 4 W 2 G 6 @ S 5 8 X A ! I M 9 & Q ^ J L # 7 * C $ G V % K

Here, the group formed is second element is +4 element of first element and third element is -2 of second element.

Hence, &^M does not belong to the group.

Thus, the answer is "&^M".