SBI PO Prelims Memory Based Paper (Held on: 22 Nov 2021 Shift 1) (Previous Year Paper)

The correct answer is Option 4 i.e. D.}

• ‘More’ is used in the comparative degree, and ‘most’ is used in the superlative degree.
• The given sentence is in the comparative degree as it tells us the comparison between two alternatives- getting the raw materials from outside or producing everything in the country.
• Let’s see an example-

1. He is cleverer and more talented than the first boy in the class. 

2. He is cleverer and most talented than the first boy in the class. 

• Hence, ‘more’ should be used to make the sentence correct.

 So, the correct sentence is - “As per the present market scenario, we have only two options in front of us- either importing the raw materials from abroad or taking care of the entire production in our country. Although, the second option seems more sustainable, and the board of directors is concentrating on that.”

• The Positive degree of adjectives is used to refer to just the quality of a person or thing.
• For example-

1. Uncle John is a courageous man.

• The Comparative degree of adjectives is used when a comparison is made between two persons or things.
• For example-

1. Uncle John is more courageous than his brother.

• The Superlative degree of adjectives is used when the comparison is made between more than two-person or things.
• For example-

1. Uncle John is the most courageous of all.

The Correct answer is option A

Key Points

• Error is in part A of the sentence.
• The word 'alleged' is giving additional information regarding 'impersonating civic body officials'
• Here we need to use the adverb of 'Alleged' i.e 'Allegedly'

Correct answer - Three men were arrested for allegedly impersonating civic body officials and extorting money from shopkeepers in east Delhi’s Mansarovar Park, the police said on Sunday.

The correct answer is Only I and III.

Key Points

Out of the given statements, the errors are in statements I and III. 

• ​In statement I, the usage of the word eats is incorrect. The subject **young **people is plural and must agree with a plural verb. Thus, eat will replace eats to rectify the incorrect sentence. According to the Subject-verb Concord, the verb must agree with its subject in number and person.
• For e.g.- The cost of all essential commodities has gone up.
• In statement III, the usage of the word block is incorrect. According to the structure of Past Perfect Tense had is followed by the third form of the verb (V3). But here had is followed by block which is the first form of the verb(V1), so it should be replaced with blocked(V3) for making the sentence grammatically correct.

Statement II is grammatically and contextually correct. In statement II the phrase a good/great deal is used to show a large quantity of something.

​Thus, the correct sentences are: I. Young people in China eat more snacks than people of the same age in other Asian countries. and II*. Without waiting for instructions from the Government, some cable operators in the city had blocked the news.*

Additional Information

• The structure of sentence with had(Past Perfect Tense): Subject + had + v3 + object + other words
• ​For e.g.,- John had baked a cake before you arrived.

The correct answer is 'Only I and II'.

Key Points

 Out of the given statements, the errors are in statements I and II. 

• ​In statement I, the usage of the word to is incorrect. Here at will be replaced by to because we usually say that someone arrives at a place instead of to a place.
• For e.g.- We arrived at the station at 3 o'clock.
• ​​In statement II, the usage of the word were is incorrect**.** When there are two different subjects that are joined by neither…nor and are different in numbers, the subject closer to the verb decides whether the verb will be singular or plural.
• Here, the subject closer to the verb were is Ajay and thus the verb were will be replaced by was to agree with the singular subject.
• For e.g.- Neither the ministers nor the King has been arrested.

​​

Statement III is contextually and grammatically correct as collective nouns indicating time, money, and measurements used as a whole are singular and take a singular verb.

• Here, kilometers is a collective noun indicating the distance(measurement) hence takes a singular verb.
• ​For e.g.- Two miles is too much for this man to run.

​Thus, the correct sentences are: I. When shall we arrive at our destination? and II. Neither Virat nor Ajay was there at the theatre when I went there.

Additional Information

When there are two different subjects that are joined by either…or, neither…nor, not only, but also and or, and are different in numbers, the subject closer to the verb decides whether the verb will be singular or plural.

• There are either some boys or a girl in the class.
• Not only Sapna but also her friends have come.

Use of At vs. In for location:

• At is used when you are at the top, bottom, or end of something; at a specific address; at a general location; and at a point.
• In is used for space, small vehicles, water, neighborhood, city, and country.

The Correct answer is option (3) i.e. C.

Key Points

• The error lies in part C of the sentence as the verb "was" comes before the subject "he".

• Indirect interrogative doesn't have anything to do with the interrogative structure.

• Neither the helping verb comes before the subject nor the question mark comes at the end of the sentence.

• Example:

• I had never seen him in this locality before that's why I inquired who was he? 

• I had never seen him in this locality before that's why I inquired who he was. 

Additional Information

• Structure of Assertive sentence: Subject + Helping Verb + Main Verb 
• Example: Rahul is going to Shimla.
• Structure of Direct Interrogative sentence: Yes /No Questions - Helping Verb + Subject +  Main Verb + Object?
• Example: Are you playing football?
• Structure of Direct Interrogative sentence: WH Questions -  WH word + Helping Verb + Subject +  Main Verb + Object?
• Example: Where are you playing football?
• An indirect question is a question embedded inside a statement (i.e., a declarative sentence) or another question (i.e., an interrogative sentence).
• Example: I did not understand why you did not ask for help.

Correct sentence: "Though the town found the prank hilarious. Taylor, the head of the town council posted a notice asking who the prankster is and why he was creating havoc in the town. I do not know what is wrong with him, he feels like whoever did this will come clean to him. ​"

The correct answer is defaced.

Key Points

• From the first sentence, we get to know that building was spoiled with all the graffiti(writing or drawings scribbled, scratched, or spray)
• From the second sentence, we get to know that she spoiled her book by writing on it.
• In option 3, the word defaced means to spoil the surface or appearance of (something), for example by drawing or writing on it.
• Therefore, defaced is the only word that fits here appropriately.

So, the correct sentences are, 

The building was defaced with graffiti. 

She defaced the book by writing on it.

Additional Information ​​

The correct answer is ​decency.

Key Points

• From the first sentence, we get to know that he refused that offer due to his sense of virtue and morality.
• From the second sentence, we get to know that his neighbour often walks around naked which shows he does not have any standards of respectability.
• In option 5, the word decency means behaviour that conforms to accepted standards of morality or respectability.
• Therefore, decency is the only word that fits here appropriately.

So, the correct sentences are, 

His sense of decency and fair play made him refuse the offer.

*My neighbour has no sense of decency and often walks around naked in his backyard.*​

Additional Information

The correct answer is credential.

Key Points

• From the first sentence, we get to know that the certification that project managers received is like a qualification.
• From the second sentence, we get to know that Beyonce is a singer and has become an actress that she can add as an achievement to her resume.
• In option 1, the word credential means a qualification, achievement, quality, or aspect of a person's background, especially when used to indicate their suitability for something.
• Therefore, credential is the only word that fits here appropriately.

So, the correct sentences are, 

This certification provides project managers with a professional credential from the Project Management Institute. 

Singer and actress Beyonce can add a new credential to her resume.

Additional Information

The correct answer is Whereas

Key Points

• The first statement talks about how Maxine is a topper in her class.
• The second statement talks about how Sasha was in the bottom three in the same class.
• 'Whereas' is a connector used to refer to a contrast or comparison.
• In the current sentence, there are 2 people from the same class and their rankings are being compared.

Thus, the final sentence will be: "Maxine was the topper in her class, whereas Sasha was in the bottom three."

The correct answer is Only 3.

Key Points

• The phrase which we should choose to connect the sentences is Only 3. 
• The word 'While' means 'during the time that' So, the phrase 'While global warming' would join the sentences appropriately.
• 'How' means 'that' or 'the way in which'. Hence, the phrase 'How we have learned' cannot be used to join the sentences.
• 'Behind' means 'at the back of'. So, the phrase 'Behind global warming' is not appropriate for the sentences.

The sentence after using the phrase is: While global warming has not stopped because of the global pandemic, we have learned that Mother Nature responds positively to our improved behaviour.

Additional Information

Responds: replies to

Positively: in a positive way

The  correct option is 2 i.e. Only II and III

Key Points

• The phrase which we should choose to connect the sentences is Only II and III.
• ​ 'notwithstanding' means 'nevertheless or despite' . So, the phrase would appropriately connect the sentence.
• Example: Injuries notwithstanding, the team won the semifinal.
• 'still' is used 'when we want to focus more on the result than the reason'. Clearly, the phrase can form a meaningful sentence
• Example:  We’re still waiting for our new couch to be delivered.
• The word 'since' is used 'when we want to focus more on the result than the reason.' So, the phrase is inappropriate for the given sentence.

                         Example: They are rather expensive since they are quite hard to find. 

Additional Information

• Severe: extremely bad or serious.
• Instruction: detailed information about how something should be done or operated.

The sentence after using the phrase is: Notwithstanding the situation to step out of the house yesterday because of my severe headache, I attended the sales meeting at my office on the instructions of my senior management. (

Correct)

I was not in a situation to step out of the house yesterday because of my severe headache still, I attended the sales meeting at my office on the instructions of my senior management.(

Correct)

The correct answer is C.

Key Points 

• The given passage is about the harmful effects of human population growth.

• The first sentence is B because it introduces the topic by mentioning the result of human population growth.

• The second sentence is D because it discusses why large mammals are more vulnerable to extinction than smaller animals.

• The third sentence is A because the names of the animals which may disappear in the beginning are mentioned.

• The fourth sentence is E because it informs us about a case study that analyzed two oil-road management approaches and their effects on the surrounding wildlife communities.

• The last sentence is C because it mentions what the finding of the case study suggests, thereby concluding the passage.

• Therefore, the correct sequence is BDAEC.

• The following paragraph is formed after arranging the five sentences in proper sequence:

Human population growth results in changes in land-use, which can cause natural habitats to become fragmented, altered, or destroyed. Large mammals are often more vulnerable to extinction than smaller animals because they require larger home ranges and thus are more prone to suffer the effects of deforestation. Large species such as elephants, rhinoceroses, large primates, tapirs and peccaries are the first animals to disappear in fragmented rainforests. A case study from Amazonian Ecuador analyzed two oil-road management approaches and their effects on the surrounding wildlife communities. This finding suggests that disturbances affected the local animals' willingness and ability to travel between patches.

Additional Information 

• Disappear: vanish from sight
• Fragmented: broke into pieces
• Altered: changed
• Vulnerable: at risk
• Extinction: vanishing or dying out
• Deforestation: cutting down or removal of trees

The correct answer is A.

Key Points 

• The given passage is about the harmful effects of human population growth.

• The first sentence is B because it introduces the topic by mentioning the result of human population growth.

• The second sentence is D because it discusses why large mammals are more vulnerable to extinction than smaller animals.

• The third sentence is A because the names of the animals which may disappear in the beginning are mentioned.

• The fourth sentence is E because it informs us about a case study that analyzed two oil-road management approaches and their effects on the surrounding wildlife communities.

• The last sentence is C because it mentions what the finding of the case study suggests, thereby concluding the passage.

• Therefore, the correct sequence is BDAEC.

• The following paragraph is formed after arranging the five sentences in proper sequence:

Human population growth results in changes in land-use, which can cause natural habitats to become fragmented, altered, or destroyed. Large mammals are often more vulnerable to extinction than smaller animals because they require larger home ranges and thus are more prone to suffer the effects of deforestation. Large species such as elephants, rhinoceroses, large primates, tapirs and peccaries are the first animals to disappear in fragmented rainforests. A case study from Amazonian Ecuador analyzed two oil-road management approaches and their effects on the surrounding wildlife communities. This finding suggests that disturbances affected the local animals' willingness and ability to travel between patches.

Additional Information 

• Disappear: vanish from sight
• Fragmented: broke into pieces
• Altered: changed
• Vulnerable: at risk
• Extinction: vanishing or dying out
• Deforestation: cutting down or removal of trees

The correct answer is D.

Key Points  

• The given passage is about the harmful effects of human population growth.

• The first sentence is B because it introduces the topic by mentioning the result of human population growth.

• The second sentence is D because it discusses why large mammals are more vulnerable to extinction than smaller animals.

• The third sentence is A because the names of the animals which may disappear in the beginning are mentioned.

• The fourth sentence is E because it informs us about a case study that analyzed two oil-road management approaches and their effects on the surrounding wildlife communities.

• The last sentence is C because it mentions what the finding of the case study suggests, thereby concluding the passage.

• Therefore, the correct sequence is BDAEC.

• The following paragraph is formed after arranging the five sentences in proper sequence:

Human population growth results in changes in land-use, which can cause natural habitats to become fragmented, altered, or destroyed. Large mammals are often more vulnerable to extinction than smaller animals because they require larger home ranges and thus are more prone to suffer the effects of deforestation. Large species such as elephants, rhinoceroses, large primates, tapirs and peccaries are the first animals to disappear in fragmented rainforests. A case study from Amazonian Ecuador analyzed two oil-road management approaches and their effects on the surrounding wildlife communities. This finding suggests that disturbances affected the local animals' willingness and ability to travel between patches.

Additional Information 

• Disappear: vanish from sight
• Fragmented: broke into pieces
• Altered: changed
• Vulnerable: at risk
• Extinction: vanishing or dying out
• Deforestation: cutting down or removal of trees

The correct answer is B.

Additional Information 

• The given passage is about the harmful effects of human population growth.

• The first sentence is B because it introduces the topic by mentioning the result of human population growth.

• The second sentence is D because it discusses why large mammals are more vulnerable to extinction than smaller animals.

• The third sentence is A because the names of the animals which may disappear in the beginning are mentioned.

• The fourth sentence is E because it informs us about a case study that analyzed two oil-road management approaches and their effects on the surrounding wildlife communities.

• The last sentence is C because it mentions what the finding of the case study suggests, thereby concluding the passage.

• Therefore, the correct sequence is BDAEC.

• The following paragraph is formed after arranging the five sentences in proper sequence:

Human population growth results in changes in land-use, which can cause natural habitats to become fragmented, altered, or destroyed. Large mammals are often more vulnerable to extinction than smaller animals because they require larger home ranges and thus are more prone to suffer the effects of deforestation. Large species such as elephants, rhinoceroses, large primates, tapirs and peccaries are the first animals to disappear in fragmented rainforests. A case study from Amazonian Ecuador analyzed two oil-road management approaches and their effects on the surrounding wildlife communities. This finding suggests that disturbances affected the local animals' willingness and ability to travel between patches.

Additional Information  

• Disappear: vanish from sight
• Fragmented: broke into pieces
• Altered: changed
• Vulnerable: at risk
• Extinction: vanishing or dying out
• Deforestation: cutting down or removal of trees

The correct answer is E.

Key Points

• The given passage is about the harmful effects of human population growth.
• The first sentence is B because it introduces the topic by mentioning the result of human population growth.
• The second sentence is D because it discusses why large mammals are more vulnerable to extinction than smaller animals.
• The third sentence is A because the names of the animals which may disappear in the beginning are mentioned.
• The fourth sentence is E because it informs us about a case study that analyzed two oil-road management approaches and their effects on the surrounding wildlife communities.
• The last sentence is C because it mentions what the finding of the case study suggests, thereby concluding the passage.
• Therefore, the correct sequence is BDAEC.

The following paragraph is formed after arranging the five sentences in proper sequence:

Human population growth results in changes in land-use, which can cause natural habitats to become fragmented, altered, or destroyed. Large mammals are often more vulnerable to extinction than smaller animals because they require larger home ranges and thus are more prone to suffer the effects of deforestation. Large species such as elephants, rhinoceroses, large primates, tapirs and peccaries are the first animals to disappear in fragmented rainforests. A case study from Amazonian Ecuador analyzed two oil-road management approaches and their effects on the surrounding wildlife communities. This finding suggests that disturbances affected the local animals' willingness and ability to travel between patches.

Additional Information

Disappear: vanish from sight

Fragmented: broke into pieces

Altered: changed

Vulnerable: at risk

Extinction: vanishing or dying out

Deforestation: cutting down or removal of trees

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

Key Points

We can look at the given sentence in the following way:

One day an old _________ (A) whose name was Cluck-cluck went into the _________ (B) with her little _________ (C) Tuppen to get some _________ (D) to eat 

• Blueberries: a small sweet blue-black edible berry
• woods:  

an area of land, smaller than a forest, that is covered with growing trees.

• Therefore woods cannot be eaten or not edible therefore the phase woods to eat is wrong
• blueberries are edible therefore went into the blueberries is a wrong phrase
• Therefore B and D should be interchanged to make the sentence contextually correct.
• chick: 

a young bird, especially one newly hatched.

• hen: a female bird, especially of a domestic one.

Therefore, the correct sentence is,

One day an old hen whose name was Cluck-cluck went into the woods with her little chick Tuppen to get some blueberries to eat​​

The correct option is 2 i.e. B-D

Key Points

Let's look at the given sentence in the following way

we discovered a small ________ (A)with a single ________ (B) broken off about the middle and very ________(C), besides having two or three ________ (D) on its edge.

• penknife: a small knife with a blade that folds into the handle.
• notch: an angular or V-shaped cut in an object, notches is the plural form of the notch
• 'single notches' is grammatically incorrect single indicates means only one.
• 'two or three blade' is incorrect because two or three indicate more than one means plural, the blade is singular
• 'single blade' and 'two or three notches' make two correct phrases
• Therefore B and D should be interchanged
• rusty: an object (certain metal) affected by rust

Therefore the correct sentence is,

We discovered a small penknife with a single blade broken off about the middle and very rusty, besides having two or three notches on its edge

The correct option is 4 i.e. A-C

Key Points

We can look at the sentence in the following way:

There was a _________ (A) going on for a long time for a _________ (B) between one of the king's sons, first Henry, and _________ (C) Charles, and a _________ (D) of Spain.

• afterward**:** 

at a later or future time, it is an adverb and incorrectly used in Blank A. Because before blank A there is the use of an article a.

• afterward starts with vowel therefore it should be followed by article an
• negotiation: a 

discussion aimed at reaching an agreement.

• 'Negotiation Charles' this phrase is grammatically and contextually incorrect here
• Therefore A and C should be interchanged
• marriage: the legally or formally recognized union of two people as partners in a personal relationship
• princess: a female member of a royal family especially​​​​.​​​​​​​

Therefore the correct sentence is,

There was a negotiation going on for a long time for marriage between one of the king's sons, first Henry, and afterward Charles, and a princess of Spain.​

The correct answer is A - D.

Key Points

Let us look at the given sentence in the following manner: 

• The _____(A) of living in a ______(B) camp was ______(C) that the ______(D) couldn’t get over easily.
• From the below-given table, we get to know the meanings of the words in bold.
• In (A) The survivors of living and in (D) trauma couldn’t get both are incorrect phrases.
• The sentence tells us that the survivors of the concentration camp couldn't get over the disturbing experiences and sufferings they faced in the camp.
• So, A and D should be interchanged to make the sentence correct. 

Therefore the correct sentence is, The trauma of living in a concentration camp was so agonizing that the survivors couldn’t get over it easily. ​

Additional Information

To understand which word belongs to which blank we need to know their meanings as enlisted below:

The correct answer is 'A-B'.

Key Points

• Let us look at the given sentence in following manner-
• The US reference dictionary Merriam-Webster will change its _______(A) of the word racism at the ______(B) of a young _______(C) woman, who wanted it to better reflect the oppression of people of _______(D).
• Try to understand the meaning of the given words to choose their proper place.
• suggestion- an idea, plan or action that is suggested
• definition- a statement that explains the meaning of a word or phrase
• From the meanings, we can surely say that the sentence makes no sense.
• When two words 'suggestion' and 'definition' are interchanged, the sentence makes correct sense. So A and B should be interchanged to make the sentence correct.

Therefore, the correct sentence is- 'The US reference dictionary Merriam-Webster will change its definition of the word racism at the suggestion of a young black woman, who wanted it to better reflect the oppression of people of colour.'

The correct answer is 'All are correct'.

Key Points

• The meaning of the idiom 'tick off' is:
• To make angry or indignant.
• Example: The cancellation of the flight really ticked me off.
• Mark an item in a list with a tick to show that it has been dealt with.
• Example: I ticked several items off my ‘to do’ list.
• By reading the above meanings of the idiom 'tick off' we can understand that:
• Sentence I is correct (Because Jackie marked an item off his list of doing things).
• Sentence II is correct (Because the person was very angry at her sister for using the cell phone without asking).
• Sentence III is correct (Because it has been asked to mark the appropriate boxes after reading the complete list).
• Hence, the correct answer is option 5.

Additional Information

• To do list: A list of tasks that need to be completed, typically organized in order of priority.

The correct answer is I and II.

Key Points

• The idiom ‘up in arms’ means angry or upset.
• Example: The union is up in arms over the reduction in health benefits.
• By reading the above sentences we can understand that:
• Sentence I is correct (Because the Environment groups are upset regarding the plans for fracking in the area).
• Sentence II is correct (Because the local residents were angry regarding the plans of building a new motorway as it might hamper the tranquility in the area).
• Sentence III is incorrect (Because the idiom ‘up in arms’ is not contextually correct as per the meaning of the given sentence).
• Hence, option 3 is the correct answer.

Additional Information

• Fracking: A method of getting oil or gas from the rock below the surface of the ground by making large cracks in it. Fracking is short for "hydraulic fracturing".

The correct answer is All are correct.

Key Points

• The idiom ‘on cloud nine’ means to be extremely happy and excited.
• Example: David was on cloud nine after winning the competition.
• By reading the above sentences we can understand that:
• Sentence I is correct (Because the grandmother was extremely happy to see her grandson after a long time).
• Sentence II is correct (Because the person has been really excited and happy since she heard the news of her engagement).
• Sentence III is correct (Because Nikki inner happiness and excitement were radiating and could be felt by everyone around her).
• Hence, option 5 is the correct answer.

The correct answer is ‘Dissipate’.

Key Points

• The word ‘accumulate’ means to collect or increase something gradually, especially over a period of time.
• Example: We’ve accumulated a lot of junk over the years.
• The antonyms of the word ‘accumulate’ are “dissipate, diminish, recede”.
• The word ‘dissipate’ means to (cause to) gradually disappear or waste.
• Example: It took months of effort to dissipate the oil spill in the North Sea.
• Therefore, we can say that the word ‘dissipate’ is the antonym for ‘accumulate’.
• Hence, option 3 is the correct answer.

Additional Information

• Let’s look into the meanings of the other given words:
• Garner: To collect something, usually after much work or with difficulty.
• Example: The approaches that garner the best responses from customers have evolved.
• Anticipate: To imagine or expect that something will happen.
• Example: It's always best to anticipate a problem before it arises.
• Cumulate: To collect a large amount of something over a period of time by gradually adding more.
• Example: The system has the ability to cumulate data over a number of years.

The correct answer is ‘Obtain.

Key Points

• The word ‘obtain’ means to gain or attain usually by planned action or effort.
• Example: We obtained a copy of the original letter.
• The synonyms of the word ‘acquire’ are “obtain, attain, gain”.
• The word 'acquire' means to get or buy something.
• Example: He has acquired a reputation for being difficult to work with.
• By understanding the meanings of the words 'acquire' and ‘obtain’, we can say that the word ‘obtain’ best expresses the meaning of the word ‘acquire’.
• Hence, option 5 is the correct answer.

Additional Information

• Let’s look into the meanings of the other given words:
• Analyze: To study something in a systematic and careful way.
• Example: In the article, several experienced diplomats analyzed the president’s foreign policy.
• Expressing: To show a feeling, opinion, or fact.
• Example: Words can't express how happy I am.
• Excelling: To be extremely good at something.
• Example: Rebecca always excelled in languages at school.

The correct answer is ‘They ask questions and learn from the others’.

Key Points

• The passage is based on Curiosity and its effects on human behaviour.
• Let’s refer to this line from the passage: “Being curious is important for excelling in any job and doing it better, because you ask questions, learn from others, and look for ways to do your job better.”
• By reading the above line we can clearly understand that a curious person never hesitates to ask questions and learn from others and look for better ways to excel in their jobs.
• Hence, option 4 is the correct answer.

The correct answer is ‘Curious people are not active about seeking information or experience, and are willing to meet challenges and to broaden their horizons’.

Key Points

• Let’s refer to this line from the passage: “They are active in seeking information or experience and are willing to meet challenges and to broaden their horizons.”
• By reading the above line we can understand that curious people can go to any extent and are always active in seeking information to increase their knowledge and experience.
• Therefore, the above option is not true as per the context of the passage.
• Hence, the correct answer is option 5.

The correct answer is ‘gossip, unimportant’.

Key Points

• Let’s refer to this line from the passage: “Curiosity can be directed to _______ and ________ details, or to matters that are more important.”
• The term ‘curiosity’ refers to an eager wish to know or learn about something.
• Example: I'm burning with curiosity - you must tell me who won!
• By reading the above line and relating it to the meaning of the word ‘curiosity’ we can get that curiosity can direct a person’s attention towards gossip and unimportant details only to feed the urge of knowing more about a certain thing or it may even direct one’s attention towards matters that are more important.
• Therefore, the words ‘gossip’ and ‘unimportant’ fit more appropriately in the blank.
• Hence, option 3 is the correct answer.

The correct answer is ‘expand one’s range of interests, activities, and knowledge’.

Key Points

• The passage is based on Curiosity and its effects on human behaviour.
• Let’s refer to this line from the passage: “They are active in seeking information or experience and are willing to meet challenges and to broaden their horizons.”
• By reading the above line we can understand that it is talking about seeking information and experience and for that one is ready to meet any kind of challenges to expand their range of interests, activities, and knowledge.
• The idiom ‘broaden their horizon’ means to increase the range of one's knowledge, understanding, or experience.
• Example: Travel can help to broaden your horizons/mind.
• Hence, option 2 is the correct answer.

Calculation:

Number of employees from department B = (25/100) × 560 = 140

⇒ Number of female employees from department B = (140/7) × 2 = 40

Number of employees from department C = (5/100) × 560 = 28

⇒ Number of female employees from department C = (28/7) × 5 = 20

Total number of female employees from department B and C = 40 + 20 = 60

∴ The number of female employees working in the departments B and C together is 60.

Calculation:

Number of employees in department B = (25/100) × 560 = 140

⇒ Number of male employees in department B = (140/7) × 5 = 100

Number of employees in department D = (15/100) × 560 = 84

⇒ Number of male employees in department D = (84/21) × 10 = 40

Total number of male employees in department B and D = 100 + 40 = 140

∴ The number of male employees working in departments B and D together is 140.

Calculation:

Number of employees from department C = (5/100) × 560 = 28

⇒ Number of female employees from department C = (28/7) × 5 = 20

Number of employees from department D = (15/100) × 560 = 84

⇒ Number of female employees from department D = (84/21) × 11 = 44 

⇒ Number of male employees from department D = (84/21) × 10 = 40

Number of employees from department B = (25/100) × 560 = 140

⇒ Number of male employees from department B = (140/7) × 5 = 100

⇒ Required ratio = (20 + 44) : (100 + 40) = 64 : 140

⇒ Required ratio = 16 : 35

∴ The ratio of the number of female employees from department C and D together to that of the male employees working in department B and D together is 16 : 35.

The number of female employees from department C and D together = 64

No need to calculate further, as per the option only option 2 contains a factor or multiple of 64.

Calculation:

Number of employees from department B = (25/100) × 560 = 140

Number of employees from department E = (20/100) × 560 = 112

⇒ Percentage change = {(140 – 112)/112} × 100

⇒ Percentage change = {28/112} × 100 = 25%

∴ The required percentage is 25%.

From the pie chart, we can see that

Department B = 25%

Department E = 20%

⇒ Percentage change = (25 - 20)/20 × 100 = 25%

Calculation:

Number of employees from department A = (35/100) × 560 = 196

⇒ Number of male employees from department A = (196/98) × 75 = 150

Number of employees from department B = (25/100) × 560 = 140

⇒ Number of male employees from department B = (140/7) × 5 = 100

Number of employees from department C = (5/100) × 560 = 28

⇒ Number of male employees from department C = (28/7) × 2 = 8

Number of employees from department D = (15/100) × 560 = 84

⇒ Number of male employees from department D = (84/21) × 10 = 40

Number of employees from department E = (20/100) × 560 = 112

⇒ Number of male employees from department E = (112/28) × 13 = 52

From the above values we can deduce,

The maximum number of male employees are from department A

∴ The maximum number of male employees are from department A.

Number of employees from department A = (35/100) × 560 = 196

⇒ Number of male employees from department A = (196/98) × 75 = 150

No need to calculate further as the maximum number of employees after A department is from B i.e. 25% or 140 which is 10 less than the number of male employees from Department A

Shortcut Trick

Total work = 6 units (assuming combined efficiency of A+B+C = 1 unit/hr).

Work done in 2 hours = 2 units. Remaining work = 6 − 2 = 4 units.

Efficiency of (A + B) = Remaining work ÷ Remaining time = 4 ÷ 7 = 4/7 units/hr.

Efficiency of C = Total efficiency − (A + B) efficiency = 1 − 4/7 = 3/7 units/hr.

Time taken by C = Total work ÷ Efficiency of C = 6 ÷ (3/7) = 6 × (7/3) = 14 hours.

∴ The correct answer is 14 hr.

Alternate Method

Given: Time for (A+B+C) = 6 hours. Opened for 2 hours. (A+B) finish remaining in 7 hours.

Formula: Efficiency = Work ÷ Time

⇒ Let total work = 42 units (LCM of 6 and 7).

⇒ Efficiency of (A + B + C) = 42 ÷ 6 = 7 units/hr.

⇒ Work done in 2 hours = 7 × 2 = 14 units.

⇒ Remaining work = 42 − 14 = 28 units.

⇒ Efficiency of (A + B) = 28 ÷ 7 = 4 units/hr.

⇒ Efficiency of C = Efficiency of (A+B+C) − Efficiency of (A+B) = 7 − 4 = 3 units/hr.

⇒ Time for C alone = Total work ÷ Efficiency of C = 42 ÷ 3 = 14 hours.

∴ The correct answer is 14 hr.

Additional Information

Pipe and Cistern Basics

Filling pipes are considered positive work while outlet/leakage pipes are negative work. Total work = Time × Efficiency.

Combined Work Formula

If A takes X hours and B takes Y hours, together they take (XY) ÷ (X + Y) hours to fill the tank.

Efficiency vs Time

Efficiency is inversely proportional to the time taken. If time ratio is a:b, efficiency ratio is b:a.

Shortcut Trick

Let the time taken by the faster man be x days and the slower man be (x + 20) days.

Combined work formula: (x × (x + 20)) ÷ (x + x + 20) = 24 days.

Test options for x: If x = 40, then (40 × 60) ÷ (40 + 60) = 2400 ÷ 100 = 24 days.

The condition is satisfied when the faster man takes 40 days.

∴ The correct answer is 40 days.

Alternate Method

Given:

Time taken by 2 men together = 24 days.

Difference in time between two men = 20 days.

Formula Used:

1/T_total = 1/T₁ + 1/T₂

Calculations:

Let the time taken by the faster man be x days.

⇒ Time taken by the slower man = (x + 20) days.

⇒ 1/x + 1/(x + 20) = 1/24

⇒ (x + 20 + x) ÷ (x(x + 20)) = 1/24

⇒ (2x + 20) ÷ (x² + 20x) = 1/24

⇒ 48x + 480 = x² + 20x

⇒ x² − 28x − 480 = 0

⇒ x² − 40x + 12x − 480 = 0

⇒ x(x − 40) + 12(x − 40) = 0

⇒ (x − 40)(x + 12) = 0

⇒ x = 40 (Since time cannot be negative, x = −12 is rejected).

∴ The correct answer is 40 days.

Additional Information

Work Efficiency

Efficiency is inversely proportional to the time taken. If A is n times faster than B, then A takes 1/n of the time taken by B.

Combined Work Formula

If two individuals complete a task in 'a' and 'b' days respectively, they together complete it in (ab) ÷ (a + b) days.

Shortcut Trick

Total distance = 210 + 270 = 480 m

Relative speed in m/s = 480 ÷ (60 ÷ 5) = 480 ÷ 12 = 40 m/s

Relative speed in km/hr = 40 × (18 ÷ 5) = 144 km/hr

Sum of speeds = x + (x + 12) = 144 ⇒ 2x = 132 ⇒ x = 66

∴ The correct answer is 66 km/hr.

Alternate Method

Given: Length of train 1 (L₁) = 210 m, Length of train 2 (L₂) = 270 m, Time (t) = 1/5 min = 12 sec, Speed 1 (S₁) = x km/hr, Speed 2 (S₂) = (x + 12) km/hr.

Formula Used: Relative Speed (Opposite) = (L₁ + L₂) ÷ Time

⇒ Relative Speed = (x + x + 12) km/hr = (2x + 12) km/hr

⇒ Speed in m/s = (2x + 12) × (5 ÷ 18)

⇒ (2x + 12) × (5 ÷ 18) = (210 + 270) ÷ 12

⇒ (2x + 12) × (5 ÷ 18) = 480 ÷ 12 = 40

⇒ 2x + 12 = 40 × (18 ÷ 5) = 144

⇒ 2x = 144 − 12 = 132

⇒ x = 66 km/hr

∴ The correct answer is 66 km/hr.

Additional Information

Relative Speed Concept

When two objects move in opposite directions, relative speed = S₁ + S₂. When moving in the same direction, relative speed = |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.

Train Crossing Problems

Total distance while crossing another train is always the sum of lengths of both trains (L₁ + L₂), regardless of direction.

Shortcut Trick

Upstream speed = Distance ÷ Time = 14 km ÷ (84/60) h = 10 km/h.

Upstream Speed = Speed of boat (u) − Speed of stream (v).

10 = u − 6 ⇒ u = 16 km/h.

∴ The correct answer is 16 km/h.

Alternate Method

Given:

Upstream Distance = 14 km

Time = 84 minutes = 84/60 hours = 1.4 hours

Speed of stream (v) = 6 km/h

Formula Used:

Upstream Speed = Distance ÷ Time

Upstream Speed = Speed of Boat in still water (u) − Speed of Stream (v)

Calculations:

⇒ Upstream Speed = 14 ÷ (84/60)

⇒ Upstream Speed = (14 × 60) ÷ 84

⇒ Upstream Speed = 840 ÷ 84 = 10 km/h

⇒ u − v = 10

⇒ u − 6 = 10

⇒ u = 10 + 6 = 16 km/h

∴ The correct answer is 16 km/h.

Additional Information

Downstream Speed

It is the net speed of the boat when it moves with the flow of the stream, calculated as Downstream Speed = u + v.

Boat Speed Calculation

If downstream speed (D) and upstream speed (U) are known, speed in still water u = (D + U) ÷ 2.

Stream Speed Calculation

If downstream speed (D) and upstream speed (U) are known, speed of stream v = (D − U) ÷ 2.

Shortcut Trick

Initial Kerosene concentration = 20% | Final concentration = 15%

Quantity of Kerosene remains constant relative to the total mixture after the 5 litres are removed.

Ratio of Initial Volume (V₁) to Final Volume (V₂) is inverse of concentration: 15 : 20 → 3 : 4

Difference in ratio parts = 4 − 3 = 1 unit → 5 litres

Total capacity (Final Volume) = 4 units × 5 litres = 20 litres

∴ The correct answer is 20 litres.

Alternate Method

Given: Initial Kerosene % = 20%, Final Kerosene % = 15%, Quantity replaced = 5 litres.

Formula: Final Concentration = Initial Concentration × [1 − (Replacement Volume / Total Volume)]

⇒ 15 = 20 × [1 − (5 / V)]

⇒ 15 / 20 = 1 − (5 / V)

⇒ 3 / 4 = 1 − (5 / V)

⇒ 5 / V = 1 − 3 / 4

⇒ 5 / V = 1 / 4

⇒ V = 5 × 4 = 20

∴ The correct answer is 20 litres.

Additional Information

Replacement Formula

The final quantity of a component after replacement is given by Q_final = Q_initial × (1 − x/V)ⁿ, where x is quantity replaced, V is total volume, and n is number of operations.

Alligation Method for Replacement

One can treat the replacement as mixing the remaining mixture (20% kerosene) with pure petrol (0% kerosene) to get a 15% result.

Concentration vs Volume

In replacement problems where the total volume remains constant, the ratio of concentrations is inversely proportional to the ratio of the component's volume before and after dilution.

Shortcut Trick

Ratio of Difference to Sum = 3 : 10

Given, Difference = 24 years ⇒ 3 units = 24 years ⇒ 1 unit = 8 years.

Sum = 10 units = 10 × 8 = 80 years.

Father's age = (Sum + Difference) ÷ 2 = (80 + 24) ÷ 2 = 52 years.

∴ The correct answer is 52 years.

Alternate Method

Given:

Ratio of (F − S) : (F + S) = 3 : 10

Difference (F − S) = 24 years

Calculations:

⇒ 3 units = 24 years

⇒ 1 unit = 24 ÷ 3 = 8 years

⇒ Sum (F + S) = 10 units = 10 × 8 = 80 years

⇒ F + S = 80

⇒ F − S = 24

Adding both equations:

⇒ 2F = 104

⇒ F = 104 ÷ 2 = 52

∴ The correct answer is 52 years.

Additional Information

Sum and Difference Rule

If the sum (a+b) and difference (a−b) of two numbers are known, then the larger number is (Sum + Diff) ÷ 2 and the smaller number is (Sum − Diff) ÷ 2.

Age Difference Property

The difference between the ages of two persons remains constant throughout their lives, regardless of the number of years passed or preceding.

Componendo and Dividendo

If (a+b)/(a−b) = x/y, then a/b = (x+y)/(x−y). In this case, F/S = (10+3)/(10−3) = 13/7.

Shortcut Trick

Let Chandra's share be x. Then Bijoy = x + 5,000 and Aman = x + 5,000 + 4,000 = x + 9,000.

Total: 3x + 14,000 = 50,000 ⇒ 3x = 36,000 ⇒ x = 12,000.

Investment Ratio (A:B:C) = 21,000 : 17,000 : 12,000 = 21 : 17 : 12.

Total ratio parts = 21 + 17 + 12 = 50.

Aman's Profit = (21 ÷ 50) × 35,000 = 21 × 700 = 14,700.

∴ The correct answer is Rs. 14,700.

Alternate Method

Given → Total Investment = Rs. 50,000 | Total Profit = Rs. 35,000. Formulas: Profit Ratio = Investment Ratio × Time Ratio | Profit share = (Individual Ratio ÷ Total Ratio) × Total Profit.

⇒ Let Chandra = C. Bijoy = C + 5000. Aman = (C + 5000) + 4000 = C + 9000. ⇒ Total = C + (C + 5000) + (C + 9000) = 50,000. ⇒ 3C + 14,000 = 50,000 ⇒ 3C = 36,000 ⇒ C = 12,000. ⇒ Aman's Investment = 12,000 + 9,000 = 21,000. ⇒ Bijoy's Investment = 12,000 + 5,000 = 17,000. ⇒ Ratio of Profit = 21,000 : 17,000 : 12,000 = 21 : 17 : 12. ⇒ Aman's share = [21 ÷ (21 + 17 + 12)] × 35,000 = (21 ÷ 50) × 35,000 = 14,700.

∴ The correct answer is Rs. 14,700.

Additional Information

Partnership Ratios

When the time period of investment is the same for all partners, the profit is divided strictly in the ratio of their capitals.

Variable Time Partnership

If time periods differ, profit is shared in the ratio of (Capital₁ × Time₁) : (Capital₂ × Time₂).

Shortcut Trick

Let the number of females be x and males be (x + 80).

Boys = 30% of (x + 80) and Girls = 35% of x.

Given: Boys − Girls = 15 ⇒ 0.30(x + 80) − 0.35x = 15.

0.30x + 24 − 0.35x = 15 ⇒ 0.05x = 9 ⇒ x = 180.

Total Population = Males + Females = (180 + 80) + 180 = 440.

∴ The correct answer is 440.

Alternate Method

Given:

Let Females (F) = x

Males (M) = x + 80

Boys = 30% of M = 0.3(x + 80)

Girls = 35% of F = 0.35x

Calculation:

⇒ Boys − Girls = 15

⇒ 0.3(x + 80) − 0.35x = 15

⇒ 0.3x + 24 − 0.35x = 15

⇒ 24 − 15 = 0.35x − 0.3x

⇒ 9 = 0.05x

⇒ x = 9 ÷ 0.05 = 180

⇒ Number of Females = 180

⇒ Number of Males = 180 + 80 = 260

⇒ Total Population = 260 + 180 = 440

∴ The correct answer is 440.

Additional Information

Percentage Calculations

To calculate x% of a value y, use the formula (x ÷ 100) × y. In population problems, always define the base variables clearly.

Linear Equations in Word Problems

Translate phrases like more than or less than into addition or subtraction signs relative to the base variable to form a solvable equation.

Total Population Logic

Total Population is the sum of all categories (Adult Males + Boys + Adult Females + Girls), which simplifies to Total Males + Total Females.

Shortcut Trick

Let Avinash's CP be x. SP to Praveen = 1.1x.

Praveen's effective CP = 1.1x + 1500. SP to Piyush = 0.75 × (1.1x + 1500).

Direct SP to Piyush for 5% profit = 1.05x.

Equating both SP values: 0.75 × (1.1x + 1500) = 1.05x ⇒ 0.825x + 1125 = 1.05x.

0.225x = 1125 ⇒ x = 1125 ÷ 0.225 = 5000.

∴ The correct answer is Rs.5000.

Alternate Method

Given → Profit₁ = 10%, Repair Cost = Rs.1500, Loss₂ = 25%, Target Profit = 5%. Formulas: SP = CP × (100 + P%) ÷ 100 | SP = CP × (100 − L%) ÷ 100

⇒ Let Avinash buy at Rs. x. He sells to Praveen at 1.1x. ⇒ Praveen spends 1500 on repairs, so Total CP for Praveen = 1.1x + 1500. ⇒ Praveen sells it to Piyush at 25% loss ⇒ Piyush's CP = 75% of (1.1x + 1500) = 0.75(1.1x + 1500). ⇒ If Avinash sells directly to Piyush for 5% profit, SP = 1.05x. ⇒ 0.825x + 1125 = 1.05x. ⇒ 1.05x − 0.825x = 1125 ⇒ 0.225x = 1125. ⇒ x = 1125 ÷ 0.225 = 5000.

∴ The correct answer is Rs.5000.

Additional Information

Effective Cost Price

When a person spends money on repairs, transportation, or installation, that amount is added to the purchase price to find the Total Cost Price.

Chain Transactions

In a series of sales, the Selling Price of the first person becomes the Cost Price for the next person.

Total no. of students in one section = 50

Ratio of girls to boys = 2 ∶ 3

Total no. of girls in one section = 2/5 × 50 = 20

∴ Total no. of girls in sections A, B, C = 3 × 20 = 60

Total no. of students in a section = 50

Ratio of girls to boys in section A of class 10^th = 2 ∶ 3

No. of boys in section A of class 10^th = 3/5 × 50 = 30

∴ No. of boys in section A of class 12^th = 80% of 30 = 24

Total no. of students in a section = 50

Ratio of girls to boys in section C of class 10^th = 2 ∶ 3

No. of boys in section C of class 10^th = 3/5 × 50 = 30

∴ No. of girls in section C of class 12^th = 60% of 30 = 18

Total no. of students in a section = 50

Ratio of girls to boys in sections D and E of class 10^th = 3 ∶ 7

Total no. of boys in sections D & E of class 10^th = 2 × 7/10 × 50 = 70

Total no. of girls in sections D & E of class 12^th = 60% of 70 = 42

∴ Total no. of boys in section D & E of class 12^th = 100 – 42 = 58

(i). 9x² – 75x + 100 = 0

⇒ 9x² – 60x – 15x + 100 = 0

⇒ 3x (3x - 20) – 5 (3x - 20) = 0

⇒ (3x - 20) (3x - 5) = 0

⇒ 3x – 20 = 0 and 3x – 5 = 0

⇒ x = $\frac{{20}}{3};{\rm{and;x;}} = {\rm{;}}5/3$                    ...(i)

(ii). Y² - 25y + 154 : 0

⇒ y² – 14y – 11y + 154 = 0

⇒ Y(y – 14) – 11 (y - 14) = 0

⇒ (y - 11) (y - 14) = 0

⇒ y – 11 = 0 and y – 14 = 0

⇒ y = 11 and y = 14                        ...(ii)

From eq. (i) and (ii), it clearly shows that x < y.

(i). 5x² – 18 x + 16 = 0

⇒ 5x² – 10x – 8x + 16 = 0

⇒ 5x (x - 2) – 8 (x - 2) = 0

⇒ (5x - 8) (x - 2) = 0

⇒ 5x – 8 = 0 and x – 2 = 0

⇒ x = 8/5 and x = 2                           ...(i)

(ii). Y² – 21y + 104 = 0

⇒ y²- 13y – 8y + 104 = 0

⇒ y (y - 13) – 8 + (y - 13) = 0

⇒ (y - 8) (y - 13) = 0

⇒y – 8 = 0 and y – 13 = 0

⇒ y = 8 and y = 13                           ...(ii)

From eq. (i) and (ii), it clearly shows that x < y.

According to the given equations,

I. x² + 3x + 2 = 0

By middle term splitting, we get,

x² + 2x + x + 2 = 0

x(x + 2) + 1(x + 2) = 0

(x + 1)(x + 2) = 0

x = -1

x = -2

II. 2y² = 5y

2y² - 5y = 0

y(2y – 5) = 0

y = 0

y = 5/2

Both values of y are greater than both values of x.

I. x² – 5x – 14 = 0

⇒ x² – 7x + 2x – 14 = 0

⇒ x(x – 7) + 2(x – 7) = 0

⇒ (x – 7)(x + 2) = 0

Then, x = + 7 or x = - 2

II. y² – 15y + 56 = 0

⇒ y² – 7y – 8y + 56 = 0

⇒ y(y – 7) – 8(y – 7) = 0

⇒ (y – 7)(y – 8) = 0

Then, y = + 7 or y = + 8

So, when x = + 7, x = y for y = + 7 and x < y for y = + 8

And when x = - 2, x < y for y = + 7 and x < y for y = + 8

∴ So, we can observe that x ≤ y.

I. 2x² + 16x – 18 = 0

⇒ 2x² + 18x – 2x – 18 = 0

⇒ 2x(x + 9) – 2(x + 9) = 0

⇒ (x + 9)(2x – 2) = 0

Then, x = - 9 or x = + 2/2 = 1

II. y² – 6y + 5 = 0

⇒ y² – 5y – y + 5 = 0

⇒ y(y – 5) – 1(y – 5) = 0

⇒ (y – 5)(y – 1) = 0

Then, y = + 5 or y = + 1

So, when x = - 9, x < y for y = + 5 and x < y for y = + 1

And when x = + 1, x < y for y = + 5 and x = y for y = + 1

∴ So, we can clearly observe that x ≤ y**.**

I. 12x² + 16x – 3= 0

⇒ 12x² + 18x – 2x – 3 = 0

⇒ 6a(2x + 3) – 1(2x + 3) = 0

⇒ (2x + 3)(6x – 1) = 0

Then, x = - 3/2 or x = + 1/6

II. y² – 7y + 12 = 0

⇒ y² – 3y – 4y + 12 = 0

⇒ y(y – 3) – 4(y – 3) = 0

⇒ (y – 3)(y – 4) = 0

Then, y = 3 or y = 4

∴ We can clearly observe that x < y.

Total no. of students in a section = 50

Ratio of girls to boys in section F of class 10^th = 1 ∶ 1

No. of boys in section F of class 10^th = 1/2 × 50 = 25

No. of girls in section F of class 12^th = 60% of 25 = 15

No. of boys in section F of class 12^th = 50 – 15 = 35

∴ Boy to Girl ratio in section F of class 12^th = 35 ∶ 15 = 7 : 3

Given:

In 2005, Number of boys = 1000

In 2005, Number of girls = 800

Formula used:

Average = (Sum of values/number of values)

Calculation:

Total number of students who graduated from college in the year 2005

⇒ (1000 × 10 / 100) + (800 × 25 / 100)

⇒ 100 + 200

⇒ 300

Total number of students who are admitted into the college in the year 2005 ⇒ (1000 + 800) – 300

⇒ 1500

Required average

⇒ (1500/2)

⇒ 750

∴ The average is 750.

Total number of boys students in college in five years = 1000 + 1200 + 1500 + 1800 + 2000

= 7500

Total number of boys students who are not using library in five years = 7500 × 55 / 100 = 4125

Total number of boys students who are not using library in year 2008 = 1800 × 55 / 100 = 990

Required percentage = 990 / 4125 × 100

Required percentage = 24%

Total number of boys students in college in five years = 1000 + 1200 + 1500 + 1800 + 2000 = 7500

Total number of girls students in college in five years = 800 + 1100 + 2000 + 2400 + 2200 = 8500

Total number of students in five years in college = 7500 + 8500 = 16000

Total number of students in college in year 2009 = 2000 + 2200 = 4200

Required percentage = 4200 / 16000 × 100 = 26.25% ≈ 26%

Total number of girls students who are using Scooty in five years = 800 × 40/100 + 1100 × 35/100 + 2000 × 55/100 + 2400 × 60/100 + 2200 × 70/100

= 320 + 385 + 1100 + 1440 + 1540

= 4785

Total number of girls students in college in five years = 800 + 1100 + 2000 + 2400 + 2200 = 8500

Total number of Girls students who are not using Scooty = 8500 – 4785 = 3715

⇒ 4785 = 3715 + 3715 × ? /100

⇒ ? = 28.80% ≈ 29%

Total number of boys students in college in five years = 1000 + 1200 + 1500 + 1800 + 2000 = 7500

Total number of girls students in college in five years = 800 + 1100 + 2000 + 2400 + 2200 = 8500

Required ratio = (7500 × 20 / 100) : (8500 × 35 / 100) = 1500 : 2975 = 60 : 119

The series follows the following pattern:

20 × 1 + 0 = 20

⇒ 20 × 2 + 1 = 41

⇒ 41 × 3 + 2 = 125

⇒ 125 × 4 + 3 = 503

⇒ 503 × 5 + 4 = 2519

∴ The required term in the series will be 2519.

182 + 2² = 186

186 + 42 = 202

202 + 62 = 238

238 + 82 = 302

302 + 102 = 402

The series follows the following pattern:

512 × 0.5 = 256

256 × 1.5 = 384

384 × 2.5 = 960

960 × 3.5 = 3360

3360 × 4.5 = 15120

∴ The required term in the series will be 3360.

The series follows the following pattern:

722 ÷ 2 + 2 = 363

363 ÷ 3 + 3 = 124

124 ÷ 4 + 4 = 35

35 ÷ 5 + 5 = 12

12 ÷ 6 + 6 = 8

∴ The required term in the series will be 35.

The series follows the pattern given below- 

4     10     22     42     72     114      170

    6     12    20     30     42      56

        6       8     10    12      14

∴ The next term in the series is 170.

Six persons:  A, B, C, D, E, F

Six Fruits: Apple, Banana, Orange, Grapes, Mango and Pomegranate

1) E sits third to the left of F.

2. The one who likes Banana is an immediate neighbor of F. F neither likes Apple nor Banana.

Case 1:

Case 2:

3. The one who likes Apple sits second to the right of the one who likes Banana.

4. Only one person sits between the one who likes Pomegranate and E. 

Case 1:

Case 2:

5) A likes Oranges and sits at immediate left of D. (This is not possible is case 1)

6. B sits third to the right of the one who likes Pomegranate.

Case 2:

7) B sits third to the right of the one who likes Pomegranate.

8. D sits second to the left of the one who likes Banana.

9. B does not like Grapes and C does not like Mango.

Hence, D likes pomegranate is the correct answer.

Six persons:  A, B, C, D, E, F

Six Fruits: Apple, Banana, Orange, Grapes, Mango and Pomegranate

1) E sits third to the left of F.

2. The one who likes Banana is an immediate neighbor of F. F neither likes Apple nor Banana.

Case 1:

Case 2:

3. The one who likes Apple sits second to the right of the one who likes Banana.

4. Only one person sits between the one who likes Pomegranate and E. 

Case 1:

Case 2:

5) A likes Oranges and sits at immediate left of D. (This is not possible is case 1)

6. B sits third to the right of the one who likes Pomegranate.

Case 2:

7) B sits third to the right of the one who likes Pomegranate.

8. D sits second to the left of the one who likes Banana.

9. B does not like Grapes and C does not like Mango.

Hence, A sits second to the right of the one who likes Mango.

Six persons:  A, B, C, D, E, F

Six Fruits: Apple, Banana, Orange, Grapes, Mango and Pomegranate

1) E sits third to the left of F.

2. The one who likes Banana is an immediate neighbor of F. F neither likes Apple nor Banana.

Case 1:

Case 2:

3. The one who likes Apple sits second to the right of the one who likes Banana.

4. Only one person sits between the one who likes Pomegranate and E. 

Case 1:

Case 2:

5) A likes Oranges and sits at immediate left of D. (This is not possible is case 1)

6. B sits third to the right of the one who likes Pomegranate.

Case 2:

7) B sits third to the right of the one who likes Pomegranate.

8. D sits second to the left of the one who likes Banana.

9. B does not like Grapes and C does not like Mango.

Hence, 3 persons sit between F and B when counted clockwise direction with respect to F.

Six persons:  A, B, C, D, E, F

Six Fruits: Apple, Banana, Orange, Grapes, Mango and Pomegranate

1) E sits third to the left of F.

2. The one who likes Banana is an immediate neighbor of F. F neither likes Apple nor Banana.

Case 1:

Case 2:

3. The one who likes Apple sits second to the right of the one who likes Banana.

4. Only one person sits between the one who likes Pomegranate and E. 

Case 1:

Case 2:

5) A likes Oranges and sits at immediate left of D. (This is not possible is case 1)

6. B sits third to the right of the one who likes Pomegranate.

Case 2:

7) B sits third to the right of the one who likes Pomegranate.

8. D sits second to the left of the one who likes Banana.

9. B does not like Grapes and C does not like Mango.

Hence, C - Banana is the correct answer.

Six persons:  A, B, C, D, E, F

Six Fruits: Apple, Banana, Orange, Grapes, Mango and Pomegranate

1) E sits third to the left of F.

2. The one who likes Banana is an immediate neighbor of F. F neither likes Apple nor Banana.

Case 1:

Case 2:

3. The one who likes Apple sits second to the right of the one who likes Banana.

4. Only one person sits between the one who likes Pomegranate and E. 

Case 1:

Case 2:

5) A likes Oranges and sits at immediate left of D. (This is not possible is case 1)

6. B sits third to the right of the one who likes Pomegranate.

Case 2:

7) B sits third to the right of the one who likes Pomegranate.

8. D sits second to the left of the one who likes Banana.

9. B does not like Grapes and C does not like Mango.

Hence, B is an immediate neighbour of C is the correct answer.

Give word: ‘RAVISHMENT’

Third, fourth, sixth and the eighth letters of the word : V, I, H and E

Meaningful word with these letters: HIVE

The third letter from the left is: V

Hence, the correct answer is V.

Persons: A, B, C, D, E, F ,P, Q, R, S,T and U

Row 1: A, B, C, D, E and F are facing south.

Row 2: P, Q, R, S, T  and U are facing north.

1. F sits third to the right of one, who sits opposite to U.

2. One person sits between F and A. 

3. F does not sit at any end

Case 1(a):

Case 1(b):

Case 2: 

4. E sits opposite to T.

5. Three persons sit between T and S.

6. T does not sit at any extreme end. So, case 1(b) and case 2 are rejected.

7. B sits opposite to P, who is not adjacent to T.

8. C does not sit at extreme end or opposite to Q.

Final case:

So, Q sits immediate left of R.

Hence, Q is the correct answer.

Persons: A, B, C, D, E, F ,P, Q, R, S,T and U

Row 1: A, B, C, D, E and F are facing south.

Row 2: P, Q, R, S, T  and U are facing north.

1. F sits third to the right of one, who sits opposite to U.

2. One person sits between F and A. 

3. F does not sit at any end

Case 1(a):

Case 1(b):

Case 2: 

4. E sits opposite to T.

5. Three persons sit between T and S.

6. T does not sit at any extreme end. So, case 1(b) and case 2 are rejected.

7. B sits opposite to P, who is not adjacent to T.

8. C does not sit at extreme end or opposite to Q.

Final case:

​

Four persons sit between A and D in the same row.

Hence, Four is the correct answer.

Persons: A, B, C, D, E, F ,P, Q, R, S,T and U

Row 1: A, B, C, D, E and F are facing south.

Row 2: P, Q, R, S, T  and U are facing north.

1. F sits third to the right of one, who sits opposite to U.

2. One person sits between F and A. 

3. F does not sit at any end

Case 1(a):

Case 1(b):

Case 2: 

4. E sits opposite to T.

5. Three persons sit between T and S.

6. T does not sit at any extreme end. So, case 1(b) and case 2 are rejected.

7. B sits opposite to P, who is not adjacent to T.

8. C does not sit at extreme end or opposite to Q.

Final case:

​

R sits opposite to C.

Hence, R is the correct answer.

Persons: A, B, C, D, E, F ,P, Q, R, S,T and U

Row 1: A, B, C, D, E and F are facing south.

Row 2: P, Q, R, S, T  and U are facing north.

1. F sits third to the right of one, who sits opposite to U.

2. One person sits between F and A. 

3. F does not sit at any end

Case 1(a):

Case 1(b):

Case 2: 

4. E sits opposite to T.

5. Three persons sit between T and S.

6. T does not sit at any extreme end. So, case 1(b) and case 2 are rejected.

7. B sits opposite to P, who is not adjacent to T.

8. C does not sit at extreme end or opposite to Q.

Final case:

​

All are sitting at extreme end except F.

Hence, F is the correct answer.

Persons: A, B, C, D, E, F ,P, Q, R, S,T and U

Row 1: A, B, C, D, E and F are facing south.

Row 2: P, Q, R, S, T  and U are facing north.

1. F sits third to the right of one, who sits opposite to U.

2. One person sits between F and A. 

3. F does not sit at any end

Case 1(a):

Case 1(b):

Case 2: 

4. E sits opposite to T.

5. Three persons sit between T and S.

6. T does not sit at any extreme end. So, case 1(b) and case 2 are rejected.

7. B sits opposite to P, who is not adjacent to T.

8. C does not sit at extreme end or opposite to Q.

Final case:

​

B sits second to the right of C.

Hence, B is the correct answer.

The required pairs in the given number are:

Pair in forward direction: (1, 5), (3, 4), (4, 8), (3, 8)

Pairs in backward direction: (2, 8), (5, 6)

Hence, more than four is the correct answer.

The least possible Venn diagram is:

Conclusions:

I. All Turtle can be Rabbit → True (The possibility is true, as no direct relationship between the two is given).

II. Some Rabbit are not White is a possibility → False (As, Only a few Rabbit are White is given, which means Some Rabbit are White and Some Rabbit are not White, so this is a definitely true conclusion and possibility with true conclusion is always false).

Hence, Only Conclusion I follows.