SBI Clerk Prelims Memory Based Paper (Held On: 20 September 2025 Shift 1) (Previous Year Paper)

The correct answer is Option 4.

Key Points

• The primary issue in the sentence is the incorrect use of "did" after "have."
• The correct auxiliary verb for the present perfect tense is "have" followed by the base form "done."
• The correct phrase should be "I have done in my lifetime," ensuring grammatical correctness and clarity.
• Thus, the error is located in part D of the sentence.

Therefore, the correct answer is D.

Correct Sentence: "She has visited more countries in a year than I have done in my lifetime."

Additional Information

• A: "She has visited" – This part of the sentence is grammatically correct and does not require any changes.
• B: "more countries in" – This part of the sentence is grammatically correct and does not require any changes.
• C: "a year than" – This part of the sentence is grammatically correct and does not require any changes.
• No error – This would be the correct option if there were no mistakes in the sentence, but there is an error in part D.

The correct answer is Option 5.

Key Points

• The sentence structure is correct and follows the rule for the use of "scarcely" which is followed by "when".
• The sequence of events is clear and grammatically correct.
• All parts of the sentence are correctly structured with no grammatical errors.
• Thus, the sentence is error-free.

Therefore, the correct answer is E.

Correct Sentence: "Scarcely had they entered the building when the fire alarm started ringing."

Additional Information

• A: "Scarcely had they entered" – This part of the sentence is grammatically correct and does not require any changes.
• B: "the building when" – This part of the sentence is grammatically correct and does not require any changes.
• C: "the fire alarm" – This part of the sentence is grammatically correct and does not require any changes.
• D: "started ringing." – This part of the sentence is grammatically correct and does not require any changes.
• No error – This is the correct option as there are no mistakes in the sentence.

The correct answer is Option 2.

Key Points

• The subject of the sentence is "The teacher," which is singular.
• When the subject is singular, the verb should also be singular.
• "Along with her students" is a prepositional phrase and does not affect the subject-verb agreement.
• The correct verb should be "was" instead of "were."
• Thus, the error is located in part B of the sentence.

Therefore, the correct answer is Option 2.

Correct Sentence: "The teacher, along with her students, was waiting for the class to begin with enthusiasm."

Additional Information

• A: "The teacher, along with" – This part of the sentence is grammatically correct and does not require any changes.
• C: "for the class to" – This part of the sentence is grammatically correct and does not require any changes.
• D: "begin with enthusiasm." – This part of the sentence is grammatically correct and does not require any changes.
• No error – This would be the correct option if there were no mistakes in the sentence, but there is an error in part B.

The correct answer is Option 1.

Key Points

• The primary issue in the sentence is the incorrect use of the preposition "of" after "Despite."
• The word "Despite" should not be followed by "of." The correct usage is "Despite" without "of."
• The correct phrase should be "Despite her many years of experience," ensuring grammatical correctness and clarity.
• Thus, the error is located in part A of the sentence.

Therefore, the correct answer is A.

Correct Sentence: "Despite her many years of experience, she still struggled with the new software."

Additional Information

• B: "many years of experience," – This part of the sentence is grammatically correct and does not require any changes.
• C: "she still struggled" – This part of the sentence is grammatically correct and does not require any changes.
• D: "with the new software." – This part of the sentence is grammatically correct and does not require any changes.
• No error – This would be the correct option if there were no mistakes in the sentence, but there is an error in part A.

The correct answer is Option 3.

Key Points

• The primary issue in the sentence is the subject-verb agreement.
• The subject "The information on the website as well as in the brochures" is singular.
• The verb "need" should be "needs" to agree with the singular subject.
• Thus, the error is located in part C of the sentence.

Therefore, the correct answer is C.

Correct Sentence: "The information on the website as well as in the brochures needs to be updated immediately."

Additional Information

• A: "The information on" – This part of the sentence is grammatically correct and does not require any changes.
• B: "the website as well as" – This part of the sentence is grammatically correct and does not require any changes.
• D: "be updated immediately." – This part of the sentence is grammatically correct and does not require any changes.
• No error – This would be the correct option if there were no mistakes in the sentence, but there is an error in part C.

The correct answer is Option 3.

Key Points

• Amelia was the first speaker at the International Summit on Marine Pollution.
• She is described as a renowned marine biologist and environmental activist from Australia.
• Amelia shared her deep knowledge of marine ecosystems and the impact of pollutants.

Therefore, the correct answer is Option 3.

Detailed Explanation: Amelia was the first to take to the podium at the International Summit on Marine Pollution, contributing significant insights into the damage caused by marine pollutants and advocating for stronger regulatory frameworks and reduction in plastic production.

Additional Information

• Option 1: Richard Kane – Richard Kane spoke after Amelia and shared innovative approaches his company had undertaken.
• Option 2: A delegate from India – Representatives from different countries shared their national initiatives after Richard Kane.
• Option 4: A representative from Norway – Norway's representative spoke about their success in implementing waste management policies.
• Option 5: The President of Brazil – The passage does not mention the President of Brazil as a speaker at the summit.

The correct answer is Option 3.

Key Points

• India highlighted their recent ban on certain single-use plastics.
• This was mentioned during the updates on national initiatives provided by representatives from different countries.
• India also mentioned their aggressive cleanup drives along its extensive coastline.

Therefore, the correct answer is Option 3.

Explanation: During the International Summit on Marine Pollution, representatives from different countries provided updates on their initiatives. Specifically, the passage states that India highlighted their ban on certain single-use plastics and their cleanup efforts along the coast.

Additional Information

• Option 1: Australia – Amelia from Australia spoke about the damage caused by marine pollutants but did not mention a ban on single-use plastics.
• Option 2: Kenya – Kenya showcased community-led programmes for reducing plastic consumption.
• Option 4: Norway – Norway discussed their success with waste management policies and marine research.
• Option 5: Brazil – The passage does not mention any initiative specifically highlighted by Brazil.

The correct answer is Option 3.

Key Points

• Richard Kane's company developed biodegradable alternatives to conventional plastics.
• This innovative approach was part of their effort to tackle marine pollution.
• Additionally, the company was investing in recycling technologies that showed promising results.

Therefore, the correct answer is Option 3.

Explanation: Richard Kane, an influential businessman from the United States, shared the innovative approach his company had undertaken at the International Summit on Marine Pollution. He highlighted their development of biodegradable alternatives to conventional plastics and their investment in recycling technologies.

Additional Information

• Option 1: Stringent waste management policies – Norway spoke about their success with waste management policies, not Richard Kane's company.
• Option 2: Recycling technologies – Although Richard Kane mentioned investing in recycling technologies, the innovative approach specifically developed was biodegradable alternatives to conventional plastics.
• Option 4: Community-led programmes – Kenya showcased community-led programmes for educating citizens, not Richard Kane's company.
• Option 5: Cleanup drives along coastlines – India highlighted their cleanup drives along coastlines, not Richard Kane's company.

The correct answer is Option 4.

Key Points

• Kenya showcased community-led programmes that educated citizens about the dangers of plastic pollution and how to reduce their consumption.
• This initiative was highlighted during the updates on national initiatives provided by different countries at the summit.

Therefore, the correct answer is Option 4.

Explanation: During the International Summit on Marine Pollution, representatives from different countries shared their national initiatives. Specifically, the passage mentions that Kenya showcased community-led programmes aimed at educating citizens about the dangers of plastic pollution and ways to reduce their plastic consumption.

Additional Information

• Option 1: Development of biodegradable plastics – This initiative was developed by Richard Kane's company from the United States, not Kenya.
• Option 2: National ban on single-use plastics – India highlighted their ban on certain single-use plastics at the summit.
• Option 3: Investment in marine research – This was discussed by Norway, not Kenya.
• Option 5: Stringent waste management policies – Norway mentioned their success in implementing stringent waste management policies.

The correct answer is Option 2.

Key Points

• Statement A: The summit concluded with anxiety rather than hope.
• This statement is incorrect as the passage states that the summit concluded with a strong sense of unity and determination.
• Statement B: The villagers of Luminara felt a glimmer of hope after the summit.
• This statement is correct as the passage mentions that the villagers felt a glimmer of hope upon hearing about the summit.
• Statement C: Amelia is a renowned marine biologist from Brazil.
• This statement is incorrect as the passage states that Amelia is from Australia.

Therefore, the correct answer is: ‘Only B’.

The correct answer is 'dismay'.

Key Points

• The word "dismay" means a feeling of unhappiness and disappointment (निराशा).
• The villagers felt sad and disappointed when they saw marine life polluted and dead because of plastic.
• The other options: "curiosity," "apathy," "amazement," and "indifference" do not fit the emotional context appropriately.

​Therefore, the correct answer is 'Option 4'.

Complete Sentence: The villagers watched in dismay as dead fish and turtles, their stomachs filled with plastic, washed ashore.

Additional Information

• Curiosity (जिज्ञासा): means a strong desire to know or learn something.
• Apathy (उदासीनता): means lack of interest, enthusiasm, or concern.
• Amazement (आश्चर्य): means a feeling of great surprise or wonder.
• Indifference (असंगति): means lack of interest, concern, or sympathy.

The correct answer is 'Option 2' i.e., 'Method'.

Key Points

• The word "approach" means a way or means of dealing with something. (दृष्टिकोण)
• Example: His approach to solving difficult problems is always methodical and well-reasoned.
• "Method" refers to a particular procedure or way of doing something, often systematic. (विधि)
• Example: The scientific method involves a series of steps including observation, hypothesis, and experiments.
• Therefore, the word 'method' is similar in meaning to the word 'approach'.

Therefore, the correct answer is 'Method'.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Retreat (पीछे हटना): Move back or withdraw, typically to a place of safety or seclusion.
• Example: The army's retreat was orderly and planned.
• Avoidance (परिहार): The action of keeping away from or not doing something.
• Example: His avoidance of the issue only made things worse.
• Refusal (अस्वीकृति): The act of rejecting something.
• Example: Her refusal to cooperate made the project difficult.
• Deter (रोकना): To discourage someone from doing something by instilling doubt or fear of the consequences.
• Example: High prices are likely to deter many from buying the property.

The correct answer is 'Option 1' i.e., 'Shallow'.

Key Points

• The word "deep" in the passage refers to something that is extending far down from the surface. (गहरा)
• Example: The diver explored the deep waters of the ocean.
• "Shallow" means having little depth or being close to the surface. (उथला)
• Example: The children played in the shallow end of the pool.
• Therefore, the opposite of 'deep' is 'shallow'.

Therefore, the correct answer is 'Shallow'.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Vast (विशाल): Very great in size, quantity, or extent.
• Example: The desert extends over a vast area.
• Murky (धुंधला): Dark and gloomy, especially due to thick mist or dirt.
• Example: The water in the pond was murky and unclear.
• Profound (गहरा): Very intense or deeply felt; often used metaphorically.
• Example: His speech had a profound impact on all who heard it.
• Complex (जटिल): Not simple; involved and complicated.
• Example: The solution to the problem was complex and required several steps.

The correct answer is option 2.

Key Points

• To answer this question, let's first understand the meaning of the word given in the question:
• Sow: to plant seeds in the ground; to introduce or spread an idea or feeling. (बोना, विचार फैलाना)
• Now, let's examine the given sentences:
• Sentence A: In the spring, farmers sow seeds in the fields to grow crops.
• This sentence correctly uses the word "sow" to describe the act of planting seeds.
• Sentence B: He decided to sow his wild oats before settling down.
• This sentence also correctly uses the word "sow" metaphorically to describe indulging in youthful indiscretions before becoming more responsible.
• Sentence C: She wanted to sew a new dress for the party.
• This sentence uses the word "sew", which is different from "sow". "Sew" means to stitch fabric together.
• So, both sentences A and B correctly use the word "sow" to illustrate its meaning, whereas sentence C does not.

Therefore, the correct answer is option 2.

The correct answer is 'B-C.'

Key Points

• The given sentence says that if it doesn't rain soon, it will harm the lives of people who depend upon agriculture as their means of support or living.
• Let us explore the meaning of the highlighted words:
• Drought - A long period without rain. (लम्बी अवधि तक वर्षा न होना, सूखा, अनावृष्टि)
• Depend - To rely on something. (निर्भर करना)
• Harm - To cause damage; hurt. (क्षति पहुँचाना; नुक़सान करना)
• Livelihood - A means of securing the necessities of life. (धन अर्जित करने का ढंग; आजीविका, रोज़ी)
• Thus, (B) and (C) must be interchanged.

Hence, the correct answer is option 1.

Correct Sentence: If the drought doesn’t end soon, it will harm the lives of people who depend upon agriculture as their livelihood.

The correct answer is 'D-B.'

Key Points

• The given sentence talks about veteran accountants who tend to stay with the stronghold of the accounting world, ledgers, and pencils even though computers can calculate profits and losses very quickly.
• Let us explore the meaning of the highlighted words:
• Calculate - To find something out by using mathematics; to work something out. (गणना करना, हिसाब लगाना, परिकलन करना)
• Bastion - Something that protects a way of life or a belief that is in danger of disappearing. (मत या जीवनशैली का संरक्षक; समर्थक)
• Stick - To stay in a difficult or unpleasant situation. (कठिन या अप्रिय परिस्थिति में बने रहना, प्रतिकूल परिस्थिति को बरदाश्‍त करना)
• Veteran - A person who has very long experience of a particular job or activity. (कार्य-विशेष में दक्ष व्‍यक्ति उसमें लंबा अनुभव होने के कारण, पुराना आदमी)
• Thus, (D) and (B) must be interchanged.

Hence, the correct answer is option 4.

Correct Sentence: Even though computers can calculate profits and losses very quickly, veteran accountants tend to stick with the bastion of the accounting world, ledgers, and pencils.

The correct answer is 'C-D.'

Key Points

• The given sentence talks about the survivors of a plane crash who received free airfare for life as a consolation for their state of undergoing pain, distress, or hardship.
• Let us explore the meaning of the highlighted words:
• Crashed - To collide violently with an obstacle or another vehicle. (टकराना; गाड़ी को किसी जगह पर मार देना)
• Survivors - People who survive, especially people remaining alive after an event in which others have died. (दुर्घटना में बच जाने वाला व्‍यक्ति)
• Suffering - The state of undergoing pain, distress, or hardship. (पीड़ा, कष्‍ट या वेदना)
• Consolation - The comfort received by a person after a loss or disappointment. (दिलासा देने या धैर्य बँधाने वाली वस्‍तु या व्‍यक्ति; सांत्‍वना)
• Thus, (C) and (D) must be interchanged.

Hence, the correct answer is option 2.

Correct Sentence: After the plane crashed, each of the survivors received free airfare for life as a consolation for their suffering.

The correct answer is 'D-C.'

Key Points

• The given sentence talks about a very tired mother who asked experienced friends and family to suggest ways to deal with a baby who cries from the pain and discomfort of indigestion.
• Let us explore the meaning of the highlighted words:
• Exhausted - Very tired. (बहुत थका हुआ; चकनाचूर)
• Experienced - Having the knowledge or skill that is necessary for something. (कुछ करने के लिए पर्याप्त ज्ञान अथवा कौशल प्राप्त व्यक्ति, अनुभवी, तजुरबेकार)
• Deal - To cope with or control a difficult person or situation. (किसी कठिन व्यक्ति या स्थिति से निपटना या उसे नियंत्रित करना)
• Recommend - To tell somebody what you strongly believe he or she should do. (किसी को कोई विशेष काम करने की सलाह देना)
• Thus, (D) and (C) must be interchanged.

Hence, the correct answer is option 3.

Correct Sentence: The exhausted mother asked experienced friends and family to recommend ways to deal with a colicky baby.

The correct answer is 'D-B.'

Key Points

• The given sentence says that without new ideas humanity would never obtain an approach to new technologies to help humanity to develop in a successful way.
• Let us explore the meaning of the highlighted words:
• Innovation - A new idea, method, or device. (नवप्रवर्तन, नवपरिवर्तन)
• Prosper - To develop in a successful way; to be successful. (सफलतापूर्वक विकसित होना, फलना-फूलना; समृद्घ होना)
• Help - To make something better or easier. (हालात को बेहतर या अधिक आसान बना देना)
• Access - The chance or right to use or have something. (किसी वस्‍तु को प्रयोग में लाने या प्राप्‍त करने का अवसर या अधिकार)
• Thus, (D) and (B) must be interchanged.

Hence, the correct answer is option 4.

Correct Sentence: Without innovation, humanity would never gain access to new technologies to help us advance and prosper.

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.

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.

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 'hallmark'.

Key Points

• The given sentence is talking about a Sanskrit prayer song will is commonly played in most Hindu households of southern India.
• Therefore, the most appropriate word to fill in the blank, from the given options is 'hallmark'.
• The word 'hallmark' means a distinctive characteristic of something or someone.
• Example: Simplicity and warmness is the hallmark of the people of this small town.

Hence, the correct option is option 2.

Additional Information

• Let us explore the given options:
• Curability: capability of being cured or healed.
• Originality: the ability to think independently and creatively.
• Medallion: a large medal
• Stamp: impress a pattern or mark on (a surface, object, or document) using an engraved or inked block or die.

The correct answer is 'issue'.

Key Points

• The given sentence is talking about Captain Gopinath who in real life did not show any problem with his portrayal in the film as being anti-caste.
• Therefore, the most appropriate word to fill in the blank from the given options is 'issue'.
• The word 'issue' means something that is discussed or disputed.
• Example: The issue at hand was not discussed at the meeting.

Hence the correct answer is option 3.

Additional Information

• Let us explore the given options:
• Emergence: the process of coming into existence or prominence.
• Manifestation: an event, action, or object that clearly shows or embodies something abstract or theoretical.
• Development: an event constituting a new stage in a changing situation.
• Materialising: become actual fact; happen.

The correct answer is 'instinct'.

Key Points 

• The given sentence is talking about a woman probably in a difficult situation which is unbelievable to her and her first thought is to disbelieve.
• Therefore, the most appropriate word to be filled in the blank is 'instinct'.
• The word 'instinct' means an act or course of action in response to a stimulus that is automatic rather than learned. 
• Example: The first instinct he had was to lie to get away from an embarrassing situation.

Hence, the correct answer is Option 1.

Additional Information

• Let us explore the other options:
• Abstain: restrain oneself from doing or enjoying something.
• Inability: the state of being unable to do something.
• Attitude: a settled way of thinking or feeling about something.
• Distaste: mild dislike or aversion.

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.

Shortcut Trick

Sum of present ages = 66 + (7 × 2) = 80 years.

Total ratio parts = 5 + 3 = 8 units.

8 units = 80 years → 1 unit = 10 years.

Gitika's present age = 3 × 10 = 30 years.

∴ The correct answer is 30 years.

Alternate Method

Given: Ratio of present ages of Gauravi and Gitika = 5 : 3.

Calculation:

⇒ Let the present ages be 5x and 3x.

⇒ Sum of ages 7 years ago = (5x − 7) + (3x − 7) = 66

⇒ 8x − 14 = 66

⇒ 8x = 80

⇒ x = 10

⇒ Gitika's present age = 3x = 3 × 10 = 30 years.

∴ The correct answer is 30 years.

Additional Information

Age Sum Translation

If the sum of ages of 'n' people is S years now, the sum 't' years ago was S − (n × t).

Ratio and Proportion in Ages

The difference between the ages of two people remains constant regardless of the number of years passed.

Future Age Calculation

If current age is X, age after 'n' years will be X + n. Sum of ages after 'n' years for 'm' people increases by m × n.

Shortcut Trick

Ratio of Profit = (Capital₁ × Time₁) : (Capital₂ × Time₂)

Given: Raman (C₁=8000, T₁=12) and Lakhan (C₂=x, T₂=9).

Profit Ratio = (8000 × 12) : (x × 9) = 32 : 21.

Simplifying: 96000 : 9x = 32 : 21 ⇒ 96000 ÷ 9x = 32 ÷ 21.

x = (96000 × 21) ÷ (32 × 9) = 3000 × 7 ÷ 3 = 7000.

∴ The correct answer is Rs. 7000.

Alternate Method

Given → Raman Capital = Rs. 8000, Raman Time = 12 months, Lakhan Time = (12 − 3) = 9 months, Profit Ratio = 32 : 21. Formulas: Profit = Capital × Time | Capital = Profit ÷ Time

⇒ Let Lakhan contribution be x. ⇒ Profit of Raman = 8000 × 12 = 96000 units. ⇒ Profit of Lakhan = x × 9 = 9x units. ⇒ 96000 ÷ 9x = 32 ÷ 21. ⇒ 32 × 9x = 96000 × 21. ⇒ 288x = 2016000. ⇒ x = 2016000 ÷ 288 = 7000.

∴ The correct answer is Rs. 7000.

Additional Information

Partnership Basics

In a partnership, the profit is distributed in the ratio of the product of investment and time duration.

Investment Time

If a person joins 'n' months after the start for a year, their money is invested for (12 − n) months.

Shortcut Trick

Relative Speed in same direction = Difference of speeds = 60 − 35 = 25 kmph.

Time taken to catch = Distance ÷ Relative Speed.

Time = 50 ÷ 25 = 2 hr.

∴ The correct answer is 2 hr.

Alternate Method

Given:

Speed of Fast Car (S₁) = 60 km/hr

Speed of Slow Car (S₂) = 35 km/hr

Initial Distance (D) = 50 km

Formula Used:

Relative Speed (Same Direction) = S₁ − S₂

Time = Distance ÷ Relative Speed

Calculations:

⇒ Relative Speed = 60 km/hr − 35 km/hr = 25 km/hr

⇒ Time taken = 50 km ÷ 25 km/hr

⇒ Time taken = 2 hr

∴ The correct answer is 2 hr.

Additional Information

Relative Speed in Opposite Direction

When two objects move towards each other, their relative speed is the sum of their individual speeds: S_R = S₁ + S₂.

Unit Conversion

To convert km/hr to m/s, multiply by 5/18. To convert m/s to km/hr, multiply by 18/5.

Average Speed

If a certain distance is covered at S₁ and the same distance at S₂, the average speed is (2 × S₁ × S₂) ÷ (S₁ + S₂).

​Calculation

Team X (2020 + 2021) = 425 + 400 = 825

Team Y (2020 + 2021) = 325 + 350 = 675

Ratio = 825 : 675

Both numbers are divisible by 75. 825 / 75 = 11 and 675 / 75 = 9.

→ 11 : 9

​Calculation

Team Y (2022) = 425, and Team Y (2023) = 275

Team X (2022) = 300 Team X ( 2023) = 475

Difference = [475 + 300] – [ 425 + 275] = 775 – 700 = 75

​Calculation

Team X (2021) = 400, Team Y (2021) = 350

Total = 400 + 350 = 750

Percentage = (400 / 750) × 100 = 53.33%

​Calculation

Difference = 375 – 350 = 25

Percentage = (25 / 350) × 100 = 7.14%

Calculation

Team X (2023) = 475 → 20% increase = 475 + 95 = 570

Team Y (2021) = 350 → 10% decrease = 350 – 35 = 315

Difference = 570 – 315 = 255

Shortcut Trick

Difference in Total Marks = (45 − 40) × 3 = 15 marks.

Since A, B, C and B, C, D are compared, (A − D) = 15.

Given (A + D) = 75.

Solving for A: A = (Sum + Difference) ÷ 2 = (75 + 15) ÷ 2 = 45.

∴ The correct answer is 45 marks.

Alternate Method

Given:

Average of A, B, C = 45 marks

Average of B, C, D = 40 marks

Sum of A and D = 75 marks

Calculations:

⇒ Total marks (A + B + C) = 45 × 3 = 135 --- (Eq 1)

⇒ Total marks (B + C + D) = 40 × 3 = 120 --- (Eq 2)

⇒ Subtracting Eq 2 from Eq 1: (A + B + C) − (B + C + D) = 135 − 120

⇒ A − D = 15 --- (Eq 3)

⇒ Given: A + D = 75 --- (Eq 4)

⇒ Adding Eq 3 and Eq 4: 2A = 90

⇒ A = 90 ÷ 2 = 45

∴ The correct answer is 45 marks.

Additional Information

Average Concept

Average = (Sum of all observations) ÷ (Total number of observations). Sum = Average × Number of terms.

Linear Equations Trick

If x + y = S and x − y = D, then x = (S + D) ÷ 2 and y = (S − D) ÷ 2.

Weighted Average

Combined Average = (n₁A₁ + n₂A₂) ÷ (n₁ + n₂), used when two groups are merged.

Shortcut Trick

Combined efficiency of 2(A + B + C) = Efficiency(A+B) + Efficiency(B+C) + Efficiency(A+C)

Total Work = LCM(18, 24, 36) = 72 units.

Efficiencies: (A+B) = 4, (B+C) = 3, (A+C) = 2. Sum = 9 units.

Efficiency of (A+B+C) = 9 ÷ 2 = 4.5 units.

Time taken = 72 ÷ 4.5 = 16 days.

∴ The correct answer is 16 days.

Alternate Method

Given: Time taken by (A + B) = 18 days, (B + C) = 24 days, and (A + C) = 36 days.

Formula Used: Efficiency = Total Work ÷ Time Taken

⇒ Adding the efficiencies: (A + B) + (B + C) + (A + C) = 4 + 3 + 2

⇒ 2(A + B + C) = 9

⇒ Efficiency of (A + B + C) = 9/2 = 4.5

⇒ Time taken by (A + B + C) = Total Work ÷ Efficiency

⇒ Time = 72 ÷ 4.5 = 16 days

∴ The correct answer is 16 days.

Additional Information

Work and Efficiency Relationship

Efficiency is inversely proportional to the time taken to complete the work. If time increases, efficiency decreases.

Individual Efficiency Calculation

To find the efficiency of A alone: Efficiency(A) = Efficiency(A+B+C) − Efficiency(B+C).

Total Work Assumption

Total work is usually taken as the LCM of the number of days to keep efficiency values as integers or simple decimals.

Shortcut Trick

Initial Ratio (W:M) = 3 : 2 (Total = 5 units) | Final Ratio (W:M) = 1 : 2 (Total = 3 units)

Since only Milk is added, Water remains constant. Make Water units same: (3:2) and (1:2)×3 → (3:2) and (3:6).

Milk increase = 6 − 2 = 4 units. This 4 units = 5 liters replaced. So, 1 unit = 1.25 liters.

Total capacity = 3 + 6 = 9 units = 9 × 1.25 = 11.25 liters. Initial Milk = (2/5) × 11.25 = 4.5 liters.

∴ The correct answer is 4.5 liters.

Alternate Method

Given: Initial ratio Water : Milk = 3 : 2. Replaced volume = 5 liters. Final ratio = 1 : 2.

Formula Used: Quantity of liquid = Total volume × (Ratio part / Total parts)

⇒ Let total initial volume be 5x. Water = 3x, Milk = 2x.

⇒ After removing 5L: Water = 3x − 5×(3/5) = 3x − 3; Milk = 2x − 5×(2/5) = 2x − 2.

⇒ Adding 5L pure Milk: New Milk = 2x − 2 + 5 = 2x + 3.

⇒ New Ratio: (3x − 3) / (2x + 3) = 1 / 2

⇒ 2(3x − 3) = 1(2x + 3) ⇒ 6x − 6 = 2x + 3 ⇒ 4x = 9 ⇒ x = 2.25.

⇒ Initial Milk = 2x = 2 × 2.25 = 4.5 liters.

∴ The correct answer is 4.5 liters.

Additional Information

Mixture Replacement Rule

When a portion of mixture is removed, the ratio of components in the remaining mixture stays the same as the initial ratio.

Alligation Method for Replacement

Concentration of milk in original × (Volume left) + Concentration of added milk × (Volume added) = Final concentration × Total Volume.

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

⇒ 987 + 23% of 1500 = ? + 21% of 700

$\Rightarrow 987 + \frac{{23}}{{100}} \times 1500 = ;? + \frac{{21}}{{100}} \times 700$

⇒ 987 + 23 × 15 = ? + 21 × 7

⇒ 987 + 345 = ? + 147

⇒ 1332 = ? + 147

⇒ ? = 1332 – 147 = 1185

⇒ ? = 1185

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 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.

Given expression is,

⇒ 271 + 85 × 3 – 122 = ? + 36 × 9

⇒ 271 + 255 – 122 = ? + 36 × 9

⇒ 526 – 122 = ? + 324

⇒ ? = 404 – 324

∴ ? = 80

Concept used:

Calculation:

Given expression is,

3 – [19 + {14 – (16 – 3 – 21)}]=?

⇒ 3 – [19 + {14 – (13 – 21)}] =?

⇒ 3 – [19 + {14 – (- 8)}] =?

⇒ 3 – [19 + {14 + 8}] =?

⇒ 3 – [19 + 22] =?

⇒ 3 – [41] =?

⇒ ? = -38

∴ The value of ? is -38

Concept used:

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

The given expression is,

(42 – 23) × 6 – 5 × (4² + 5)

= 19 × 6 – 5 × (16 + 5)

= 19 × 6 – 5 × 21

= 114 – 105

= 9

Concept used:

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

Calculation:

599 – 339 + 459 – 319 = ?2 

599 + 459 – (339 + 319) = ?2

1058 – 658 = 400 = ?2

? = √400 = 20

∴ The value of ?' is 20

Given

The value is 3-2 × 272/3 ÷ (729)-1/3

Calculation

3-2 × 272/3 ÷ (729)^-1/3

⇒ (1/3²) × (3³)^2/3 ÷ (9³)^-1/3

⇒ (1/9) × 32 ÷ 1/9

⇒ (1/9) × 9 × 9

⇒  9

∴ the value of 3-2 × 272/3 ÷ (729)^-1/3 is 9

Given:

[90 ÷ 6 × (24 - 8 ÷ 4) ÷ 3] – 90 ÷ 5 + 34

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

Using the BODMAS rule

⇒ [90 ÷ 6 × (24 – 8 ÷ 4) ÷ 3] – 90 ÷ 5 + 34 = ?

⇒ [90 ÷ 6 × (24 – 2) ÷ 3] – 90 ÷ 5 + 34 = ?

⇒ [90 ÷ 6 × (22) ÷ 3] – 90 ÷ 5 + 34 = ?

⇒ [90 ÷ 6 × 22/3] – 90 ÷ 5 + 34 = ?

⇒ [15 × 22/3] – 90 ÷ 5 + 34 = ?

⇒ [110] – 90 ÷ 5 + 34 = ?

⇒ 110 – 18 + 34 = ?

⇒ 110 + 16 = ?

⇒ ? = 126

∴ In place of ‘?’ 126 will come in place of ‘?’

Concept used:

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

Calculation:

⇒ 2487 + 4876 – 5645 + 222 = ?

⇒ 7363 – 5645 + 222 = ?

⇒ 1718 + 222 = ?

⇒ ? = 1940

∴ The value of ? is 1940

Calculations:

Considering the given equation,

(27)2 – (13)2 + (12)3 + (23)2 = ?

⇒ 729 – 169 + 1728 + 529 = ?

⇒ 2817 = ?

∴ The value of ? is 2817.

Concept used:

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

Calculation:

[(-251) × 21 × (-12)] ÷ ? = 63

⇒ [(-251) × 21 × (-12)]/63 = ?

⇒ (251 × 12)/3 = ?

⇒ 251 × 4 = ?

⇒ ? = 1004

∴ The value of ? is 1004

Concept used:

Calculation:

(36 + ? + 121)1/2​ + 26 = 39

⇒ (36 + ? + 121)1/2​ = 39 - 26

⇒ (36 + ? + 121) = 13²

⇒ (? + 157) = 169

⇒ ? = 169 - 157 = 12

Calculation:

[(130)2 ÷ 25 × 15] ÷ 30

⇒ $(\frac{130 × 130}{25} × 15)÷30$ = (130 × 26 × 3) ÷ 30

⇒ 13 × 26 = 338

New income = 10,000 + 20% of 10,000

⇒ Rs. 12,000

Expenses = Rs.1,000

New saving = Rs. (12,000 – 1,000)

⇒ Rs. 11,000

Expenses = Rs. 6,000

Saving = Rs. 3,000

Required percent = [(6,000/3,000)] × 100

⇒ 200%

Saving = Rs. 6000

Income = Rs. 12,000

Required percentage = [(6,000/12,000)] × 100

⇒ 50%

Shortcut Trick

Ratio of Amount (A) to Principal (P): 51840 / 25000 = 5184 / 2500 = 1296 / 625.

Rate (R) = 20% → Multiplying factor = (1 + 20/100) = 6/5.

Check power: (6/5)ⁿ = 1296/625 ⇒ (6/5)⁴ = 1296/625.

∴ The correct answer is 4 years.

Alternate Method

Given: Principal (P) = ₹25000, Amount (A) = ₹51840, Rate (R) = 20% p.a.

Formula Used: A = P(1 + R/100)ⁿ

⇒ 51840 = 25000(1 + 20/100)ⁿ

⇒ 51840 / 25000 = (120/100)ⁿ

⇒ 5184 / 2500 = (6/5)ⁿ

⇒ 1296 / 625 = (6/5)ⁿ

⇒ (6/5)⁴ = (6/5)ⁿ

⇒ n = 4

∴ The correct answer is 4 years.

Additional Information

Compound Interest Formula

The amount A is calculated as A = P(1 + r/n)^nt, where n is the number of times interest is compounded per year.

Effective Rate of Interest

For half-yearly compounding, the rate becomes R/2 and the time becomes 2n.

Rule of 72

A simplified way to determine how long an investment will take to double, given a fixed annual rate of interest: Time ≈ 72 / Rate.

Shortcut Trick

Ratio of Boat speed (B) to Current speed (C) = 9 : 2.

Upstream speed (U) = 9 − 2 = 7 units; Downstream speed (D) = 9 + 2 = 11 units.

Difference = (5 × 11) − (2 × 7) = 55 − 14 = 41 units.

41 units = 123 km ⇒ 1 unit = 3 kmph.

Boat speed = 9 units = 9 × 3 = 27 kmph.

∴ The correct answer is 27 kmph.

Alternate Method

Given:

Ratio of Still Water Speed (u) and Current Speed (v) = 9x : 2x.

Formula Used:

Downstream Speed = u + v | Upstream Speed = u − v | Distance = Speed × Time.

Calculations:

⇒ Downstream Speed = 9x + 2x = 11x

⇒ Upstream Speed = 9x − 2x = 7x

⇒ Distance Downstream (5 hrs) = 11x × 5 = 55x

⇒ Distance Upstream (2 hrs) = 7x × 2 = 14x

⇒ Difference: 55x − 14x = 123

⇒ 41x = 123

⇒ x = 3

⇒ Speed of boat in still water = 9x = 9 × 3 = 27 kmph

∴ The correct answer is 27 kmph.

Additional Information

Relative Speed in Streams

Downstream speed (D) is the sum of boat speed (u) and stream speed (v). Upstream speed (U) is the difference (u − v).

Calculating Component Speeds

Boat speed in still water u = (D + U) ÷ 2 and Stream speed v = (D − U) ÷ 2.

Average Speed

Average speed for a round trip (upstream and downstream) = (D × U) ÷ u = (u² − v²) ÷ u.

Shortcut Trick Loss = CP of 5 bananas Loss occurs when CP > SP. For 20 bananas: Loss = CP of 20 − SP of 20 Equating: CP of 5 = CP of 20 − SP of 20 ⇒ SP of 20 = CP of 15 Given SP of 20 = Rs.600, therefore CP of 15 = Rs.600 CP of 1 banana = 600 ÷ 15 = Rs.40 ∴ The correct answer is Rs.40.

Alternate Method Given: Number of bananas = 20 | Selling Price (SP) = Rs.600 | Loss = CP of 5 bananas. Formulas: Loss = CP − SP | Cost Price (CP) = Total Cost ÷ Quantity.

⇒ Let the CP of 1 banana be x. ⇒ CP of 20 bananas = 20x. ⇒ Loss = CP of 5 bananas = 5x. ⇒ SP of 20 bananas = CP − Loss = 20x − 5x = 15x. ⇒ According to the question, 15x = 600. ⇒ x = 600 ÷ 15 = 40. ∴ The correct answer is Rs.40.

Additional Information Loss in Terms of CP When loss is expressed as the Cost Price of 'n' articles, simply subtract 'n' from the total quantity to find the equivalent CP representing the SP. Profit in Terms of CP If there were a profit equal to CP of 'n' articles, SP = CP × (Total + n).

Shortcut Trick

Distance covered by Bus in (20 − 16) minutes = Distance covered by Man in 16 minutes.

Ratio of Time taken for same distance (Bus : Man) = 4 : 16 = 1 : 4.

Ratio of Speed (Bus : Man) = 4 : 1.

Since Bus speed is 40 km/hr (4 units), Man speed (1 unit) = 40 ÷ 4 = 10 km/hr.

∴ The correct answer is 10 km/hr.

Alternate Method

Given: Speed of Bus (S_b) = 40 km/hr, Time interval of buses (T₁) = 20 min, Meeting interval (T₂) = 16 min.

Formula Used: S_b × (T₁ − T₂) = S_m × T₂

⇒ Distance between two consecutive buses = Speed × Time = 40 × (20/60) km.

⇒ When man moves towards terminal, Relative Speed = (S_b + S_m).

⇒ Distance = Relative Speed × Meeting Time

⇒ 40 × 20 = (40 + S_m) × 16

⇒ 800 = 640 + 16 × S_m

⇒ 16 × S_m = 160

⇒ S_m = 10 km/hr.

∴ The correct answer is 10 km/hr.

Additional Information

Relative Speed Concept

When two objects move in opposite directions, their relative speed is the sum of their individual speeds (S₁ + S₂).

Constant Distance Rule

For a constant distance, Speed is inversely proportional to Time. If time ratio is a:b, then speed ratio is b:a.

Bus and Man logic

If the man moves away from the terminal, he would meet the bus at intervals longer than the original frequency (T₁ + Δt).

Common Calculation

Calculation

Feb + Apr = 280 + 320 = 600

March + May = 225 + 260 = 485

Both numbers are divisible by 5. 600 / 5 = 120 and 485 / 5 = 97.

Ratio = 600 : 485 = 120 : 97

Common Calculation

​Calculation

April Fiction = 180

January Fiction = 85

Difference = 180 – 85 = 95

Common Calculation

Calculation

Feb Non-Fiction = 160, Mar Non-Fiction = 110

Difference = 50

Percentage more = (50/110) × 100 = 45.5%

Common Calculation

Calculation

April’s Non- Fiction = 140, February’s Non- Fiction = 160

Percentage less than in April = (20/160) ×100 = 12.5 %

Common Calculation:-

Calculation

Fiction (June) = 40% of 300 = 120

Non-Fiction (June) = 300 - 120 = 180

Non-Fiction (May) = 110

Difference = 180 – 110 = 70

Here, persons are A, B, C, D, E, F, G and H.

1. F lives on the odd number floor below the fifth floor.

2. Three persons live between E and F.

3. G lives just below the floor of E.

4. One person lives between B and G.

5. A lives two floors above C.

6. H lives below the floor of C.

7. No two person whose names start with consecutive letters live adjacent floors. Therefore, case 1 is eliminated. Hence, the final arrangement is as follows

Hence, E lives two floors above the floor of D.

Here, persons are A, B, C, D, E, F, G and H.

1. F lives on the odd number floor below the fifth floor.

2. Three persons live between E and F.

3. G lives just below the floor of E.

4. One person lives between B and G.

5. A lives two floors above C.

6. H lives below the floor of C.

7. No two person whose names start with consecutive letters live adjacent floors. Therefore, case 1 is eliminated. Hence, the final arrangement is as follows

Hence, A lives on 4^th floor.

Here, persons are A, B, C, D, E, F, G and H.

1. F lives on the odd number floor below the fifth floor.

2. Three persons live between E and F.

3. G lives just below the floor of E.

4. One person lives between B and G.

5. A lives two floors above C.

6. H lives below the floor of C.

7. No two person whose names start with consecutive letters live adjacent floors. Therefore, case 1 is eliminated. Hence, the final arrangement is as follows

Since, B lives on eighth floor not seventh floor. Therefore, statement first is incorrect.

Two persons live between A and H. Therefore, statement second is incorrect.

G lives just above not below the floor of D. Therefore, statement third is incorrect.

H lives on first floor not second floor. Therefore, statement fourth is incorrect.

Hence, the correct statement is None of these.

Here, persons are A, B, C, D, E, F, G and H.

1. F lives on the odd number floor below the fifth floor.

2. Three persons live between E and F.

3. G lives just below the floor of E.

4. One person lives between B and G.

5. A lives two floors above C.

6. H lives below the floor of C.

7. No two person whose names start with consecutive letters live adjacent floors. Therefore, case 1 is eliminated. Hence, the final arrangement is as follows

Since, two persons live between the floor of E and A and two persons live below the floor of F.

Hence, the correct answer is  As many persons live below the floor of F.

Here, persons are A, B, C, D, E, F, G and H.

1. F lives on the odd number floor below the fifth floor.

2. Three persons live between E and F.

3. G lives just below the floor of E.

4. One person lives between B and G.

5. A lives two floors above C.

6. H lives below the floor of C.

7. No two person whose names start with consecutive letters live adjacent floors. Therefore, case 1 is eliminated. Hence, the final arrangement is as follows

Since, B lives on top floor so no one lives above his floor. Therefore, the statement A is correct.

E lives just below not above the floor of B. Therefore, the statement B is incorrect.

Two persons live between D and B. Therefore, statement C is incorrect.

Hence, the correct answer is Both B and C.

Given: M > C < D = R ≤ E < A ≥ V > Y

I. R < A → True (as R ≤ E < A)

II. M < E → False (as M > C < D = R ≤ E; thus a clear relation between M and E cannot be established).

III. D ≤ E → True (as D = R ≤ E)

Hence, conclusion I and III are true.

Given:

A ≥ B > C; C ≤ D ≤ E < F

On Combining:

A ≥ B > C ≤ D ≤ E < F

Conclusions:

I. A ≥ E→ False (as A ≥ B > C ≤ D ≤ E; therefore, the relationship between A and E cannot be determined)

II. C < F→ True (as C ≤ D ≤ E < F; therefore C < F)

Hence, only conclusion II is true.

Given statements: C ≥ F; B < C > D < H = I

On combining, we get

B < C ≥ F; I = H > D < C ≥ F

Conclusions:

I. I > F → False (As I = H > D < C ≥ F, thus, the relation between I and F cannot be determined)

II. H > C → False (As H > D < C, thus, the relation between H and C cannot be determined)

Hence, none of the conclusions is true

Here, persons are B, F, H, K, O, R, V and X.

1. At least three persons purchased gift between K and X.

2. K purchased gift before X and neither of them is the first or last person.

3. Three persons purchased gift between V and F.

4. Only two persons purchased gift between V and O who purchased gift after V.

5. O purchased a gift two persons before H.