SBI PO Prelims Memory Based Paper (Held on: 22 Nov 2021 Shift 2) (Previous Year Paper)

The correct answer is ‘bright’.

Key Points

• The word ‘murky’ means dark or gloomy.
• The word ‘bright’ means filled with light, illuminated. Thus, it is the most opposite word for ‘murky’.

Therefore, the correct answer is option 2.

Additional Information

Let us look at the meanings of other words in the options:

The correct answer is ‘abandoned’.

Key Points

• The word ‘derelict’ means deserted or abandoned (as by an owner or occupant).
• The word ‘abandoned’(option 2) means deserted. Thus, it is a synonym of ‘derelict’.

Therefore, option 2 is the correct answer.

Additional Information

Let us look at the meanings of other words in the options:

The correct answer is- only C is correct.

Key Points

Let us consider the following sentences of the passage:

• ‘They helped shape a carbon-intensive economy and paved the way for a global dependence on fossil fuels, and in doing so, fired the starting pistol on the climate crisis that today confronts us all.’ Therefore, statement A is incorrect as it says that coal mines facilitated global independence on fossil fuels.
• ‘An estimated 2 billion cubic metres of warm water occupy the old mine shafts and these flooded shafts contain around 2.2 million GWh of heat, with the potential to store more.’ As statement B mentions 2.2 billion GWh instead of 2.2 million GWh, it is incorrect.
• ‘The capital costs are much higher with mine water geothermal, though under the right conditions the energy generated can be cheaper than that from conventional sources.’ Statement C mentions **the same, so it is correct.**​

Therefore, the correct answer is option 3.

The correct answer is Both Statement (I) and Statement (II) are independent causes.

Key Points

The following has been mentioned in the passage:

“Retrofitting houses with the means to tap into a geothermal district heating network isn't cheap and new builds aren't often sited next to derelict collieries.”

• According to the passage, there are issues concerning the potential development of mine water geothermal. The houses need retrofitting to connect to the heating network and thus substantial cost is involved. It is not cheap.
• The new builds are not always located next to the collieries. Though the new builds incorporate the infrastructure at the construction itself and avoid retrofitting, the pertinent problem is their proximity to the collieries. Thus, they need additional infrastructure to connect to the network. This might involve high costs as well as technical problems.
• Thus, the above two issues are independent of each other. Hence, option 1 and option 4 are incorrect.
• Both the statements(I) and (II) represent two causes, independent of each other, impeding the mine water geothermal development. Option 2 and option 5 term them as effects, so they are incorrect too.

Therefore, option 3 is the correct answer.

The correct answer is Wales, central Scotland, northern England and the Midlands.

Key Points

• According to the passage, ‘Its geologists believe one-quarter of British homes currently sit on a coalfield, stretching across Wales, central Scotland, northern England, and the Midlands.’
• Thus, the answer is clear i.e. option 4.

The correct answer is descriptive.

Key Points

• The passage gives information about the potential use of coal mine water as a source of geothermal energy. It talks about the enthusiasm towards the adoption of this alternative energy source, by the UK Coal Authority.
• It mentions the conditions favouring the feasibility of mine water energy in regions of the UK. Besides, the passage also explains the hurdles to the development of this energy network.
• Thus, the passage describes certain facets of the mine water geothermal energy, so the tone is descriptive. The other options are incorrect are they are inappropriate in representing the overall tone of the passage.

Therefore, option 2 is the correct answer.

Additional Information

Let us consider the tones given in other options:

The correct answer is to help meet the country’s sweeping carbon-reduction target.

Key Points

• The following is mentioned in the passage:  “Accordingly, to help meet the country's sweeping carbon-reduction target, the Coal Authority is exploring the feasibility of some 70 mine water heating projects across the country”
• ​Hence, option 3 is the answer.

Additional Information

The word “sweeping” means extensive; wide-ranging.​

The sentence uses the form think out, which is incorrect and needs improvement.

Using the preposition ‘out’ is incorrect here hence it has to be corrected.

The correct phrasal verb to be used here is ‘think over’.

To think over is a phrase which means to consider.

e.g. His employer asked him to think over all the issues pointed out in the meeting.

The only alternative that improves the sentence is C.

None of the other alternatives can make the sentence meaningful.

Therefore, the correct answer is option 3.

The correct answer is 'Both B and C'.

Key Points

• A person or an incident is backed 'by' someone and 'with' something.
• Here the word 'politicians' is mentioned thus the correct preposition here would be 'by'.
• Thus, option B is correct.
• Option C is correct too as the word 'support' is correct here. It has been correctly structured.
• Thus option 4 is the correct answer.

The correct answer is option 4.

The phrase 'most number of people' is grammatically incorrect and therefore needs to be corrected.

'More number of people' is grammatically incorrect and therefore cannot be used. 'More' is always used in comparison to something. That 'something' has not been mentioned in the sentence.

'Many people' is grammatically correct and goes with the context of the sentence.

'Large numbers of people' is also grammatically correct and goes with the context of the sentence.

'The most number of people' is also grammatically correct and can be used, without changing the meaning of the sentence.

Thus, the correct answer is option 4, i.e., A, B and C.

Correct sentences:

On the Internet, it is easier than ever to actually communicate a message to many numbers of people.

On the Internet, it is easier than ever to actually communicate a message to large numbers of people.

On the Internet, it is easier than ever to actually communicate a message to the most number of people.

**‘**Too crowded’, ‘very crowded’, ‘so much crowded’ and ‘very much crowded’ are all incorrect. While ‘too crowded’ and ‘very crowded’ are grammatically correct phrases, they cannot be followed by the part of the sentence that begins with ‘that’. Basically, these two phrases must stand alone and not be followed by effects. The other two phrases are grammatically incorrect. The sentence should read as “The bus was so crowded that we had to stand all the way”. The ‘so’ sets up the condition, and the ‘that’ sets up the consequence.

The correct answer is Option (2) i.e. look for

Key Points

• Look out (Phrasal Verb): be vigilant and take notice.
• Look after (Phrasal Verb): take care of
• Look forward to (Phrasal Verb): await eagerly
• Look for (Phrasal Verb): to hope to get something that you want or need.
• The sentence implies that the person (subject) is in search of the circumstances they want. Therefore, the only phrasal verb that goes well with the context of the sentence is 'look for'.
• Hence, option 2 is correct.

Correct sentence: The people who get on in this world are the people who get up and look for the circumstances they want, and if they cannot find them, make them.

Additional Information

Some other phrasal verbs with the verb 'look'

• Look ahead: to think about and plan the future.
• Look away: to turn your eyes away from someone or something that you were looking at
• Look back: to think about something that happened in the past
• Look down on: to think something or someone is inferior

The correct answer is A.

Key Points

• The given passage is about habit.s
• The first sentence should be B because it describes what is a habit. Thus the topic is introduced.
• The second sentence is E because it mentions how habit is defined in the American Journal of Psychology.
• The third sentence is C because it mentions why habitual behaviour often goes unnoticed.
• The fourth sentence is D because it mentions that some of our daily behaviours are performed out of habit.
• The last sentence is A because it mentions that through the habit formation process, new behaviours can become automatic.
• So, the correct sequence is BECDA.

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

A habit is a routine of behaviour that is repeated regularly and tends to occur subconsciously. The American Journal of Psychology defines a "habit, from the standpoint of psychology, as a more or less fixed way of thinking, willing, or feeling acquired through previous repetition of a mental experience." Habitual behaviour often goes unnoticed in persons exhibiting it, because a person does not need to engage in self-analysis when undertaking routine tasks. A 2002 daily experience study by habit researcher Wendy Wood and her colleagues found that approximately 43% of daily behaviors are performed out of habit. New behaviours can become automatic through the process of habit formation.

Exhibiting: showing

The correct answer is D.

Key Points 

• The given passage is about habits.
• The first sentence should be B because it describes what is a habit. Thus the topic is introduced.
• The second sentence is E because it mentions how habit is defined in the American Journal of Psychology.
• The third sentence is C because it mentions why habitual behaviour often goes unnoticed.
• The fourth sentence is D because it mentions that some of our daily behaviours are performed out of habit.
• The last sentence is A because it mentions that through the habit formation process, new behaviours can become automatic.
• So, the correct sequence is BECDA.

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

A habit is a routine of behaviour that is repeated regularly and tends to occur subconsciously. The American Journal of Psychology defines a "habit, from the standpoint of psychology, as a more or less fixed way of thinking, willing, or feeling acquired through previous repetition of a mental experience." Habitual behaviour often goes unnoticed in persons exhibiting it, because a person does not need to engage in self-analysis when undertaking routine tasks. A 2002 daily experience study by habit researcher Wendy Wood and her colleagues found that approximately 43% of daily behaviours are performed out of habit. New behaviours can become automatic through the process of habit formation.

Habitual: continual or continuous

The correct answer is C.

Key Points

• The given passage is about habits.
• The first sentence should be B because it describes what is a habit. Thus the topic is introduced.
• The second sentence is E because it mentions how habit is defined in the American Journal of Psychology.
• The third sentence is C because it mentions why habitual behaviour often goes unnoticed.
• The fourth sentence is D because it mentions that some of our daily behaviours are performed out of habit.
• The last sentence is A because it mentions that through the habit formation process, new behaviours can become automatic.
• So, the correct sequence is BECDA.

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

A habit is a routine of behaviour that is repeated regularly and tends to occur subconsciously. The American Journal of Psychology defines a "habit, from the standpoint of psychology, as a more or less fixed way of thinking, willing, or feeling acquired through previous repetition of a mental experience." Habitual behaviour often goes unnoticed in persons exhibiting it, because a person does not need to engage in self-analysis when undertaking routine tasks. A 2002 daily experience study by habit researcher Wendy Wood and her colleagues found that approximately 43% of daily behaviours are performed out of habit. New behaviours can become automatic through the process of habit formation.

Repetition: the process of repeating something

The correct answer is E.

Key Points

• The given passage is about habits.
• The first sentence should be B because it describes what is a habit. Thus the topic is introduced.
• The second sentence is E because it mentions how habit is defined in the American Journal of Psychology.
• The third sentence is C because it mentions why habitual behaviour often goes unnoticed.
• The fourth sentence is D because it mentions that some of our daily behaviours are performed out of habit.
• The last sentence is A because it mentions that through the habit formation process, new behaviours can become automatic.
• So, the correct sequence is BECDA.

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

A habit is a routine of behavior that is repeated regularly and tends to occur subconsciously. The American Journal of Psychology defines a "habit, from the standpoint of psychology, as a more or less fixed way of thinking, willing, or feeling acquired through previous repetition of a mental experience." Habitual behavior often goes unnoticed in persons exhibiting it, because a person does not need to engage in self-analysis when undertaking routine tasks. A 2002 daily experience study by habit researcher Wendy Wood and her colleagues found that approximately 43% of daily behaviors are performed out of habit. New behaviours can become automatic through the process of habit formation.

• Acquired: received or gained

The correct answer is B.

Key Points

• The given passage is about habits.
• The first sentence should be B because it describes what is a habit. Thus the topic is introduced.
• The second sentence is E because it mentions how habit is defined in the American Journal of Psychology.
• The third sentence is C because it mentions why habitual behavior often goes unnoticed.
• The fourth sentence is D because it mentions that some of our daily behaviors are performed out of habit.
• The last sentence is A because it mentions that through habit formation process, new behaviours can become automatic.
• So, the correct sequence is BECDA.

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

A habit is a routine of behavior that is repeated regularly and tends to occur subconsciously. The American Journal of Psychology defines a "habit, from the standpoint of psychology, as a more or less fixed way of thinking, willing, or feeling acquired through previous repetition of a mental experience." Habitual behavior often goes unnoticed in persons exhibiting it, because a person does not need to engage in self-analysis when undertaking routine tasks. A 2002 daily experience study by habit researcher Wendy Wood and her colleagues found that approximately 43% of daily behaviors are performed out of habit. New behaviours can become automatic through the process of habit formation.

Additional Information

• Formation: setting up

The correct answer is option 3 i.e. BDC. 

Key Points

• The error lies in part A.
• The word 'loose' used here is incorrect. The correct word will be 'lose' in this context.
• Lose is a verb that means to be without (lose a sock), to fail (lose the game), or to be deprived of (lose a job). Other forms of this verb are lost and losing.
• Loose is most often an adjective that means not tight (a loose belt) or unbound and unconstrained (loose lips). It can also be used as an adverb or verb with similar meanings of being unconstrained.

So, the correct sentence is,

The penguins do lose internal body heat to the surrounding air through thermal radiation, just as our bodies do on a cold day.

The correct answer is has done away by - the error lies in this part only.

Key Points

For the sentence to be grammatically correct, 'with' should be used instead of 'by'.

The corrected form of the sentence is:

Therefore, option 2) is the correct answer.

Thus, the correct sentence is: The modern bourgeoisie society has done away with class antagonisms but has established new conditions of oppression in place of the old ones.

Additional Information

Here are the main points of comparison between 'By' and 'With':

The correct answer is - or did they inform the stakeholders- the error lies in this part only.

Key Points

In the given sentence, the error is in part C where or did they is an incorrect usage.

• ‘Neither’ is a conjunction which means not either. It is used with ‘nor’ to connect two or more negative statements. In the above sentence, it is used with ‘or’ which is incorrect.
• Evidently,the sentence talks consists of two statements to be joined by a conjunction:

1. They did not have a discussion before implementing the plan.
2. They did not inform the stakeholders regarding the resources being utilised.

• Therefore, neither-nor conjunction is most appropriate in the context given that the two statements are negative.

Thus, the correct sentence is: Neither did they have a discussion before implementing the plan nor did they inform the stakeholders regarding the resources being utilised.

Additional Information

• Correlative conjunctions are pairs of conjunctions that work together. Examples: neither-nor, either-or, not only-but also.​ ​
• He ate neither the cake nor the pasta. (Two negative alternatives)
• She can either drive to the airport herself or get a taxi. (Two choices)
• Not only have I finished studying for the exam, but also I have completed my project.​​ (*adding/emphasising the second fact)*​

The correct answer is option 1.

Key Points

• The error in part A of a sentence, the error is in the usage of added
• In the given sentence verb form of add is used i.e. added
• But in the given sentence word add is used to give additional information regarding sessions
• Hence we need to use adjective form of add i.e. Additional.

Correct sentence - In his bail order, Additional sessions Judge Anil Kumar Pandey said considering the seriousness of evidence,  the court didn’t deem it fit to release the accused on bail.

Additional Information

• Adjective is the word that gives additional information regarding the noun

The correct answer is Option 1 i.e. A.

• ‘A few’ is used in the positive sense, and means ‘some, though not much’.
• ‘Few’ is used in the negative sense, and means ‘hardly any’.
• The given sentence conveys a positive meaning of 'having some well-wishers are enough to fight against many haters’, so a positive adjective ‘a few’ should be used accordingly.
• Hence, ‘a few’ should be used to make the sentence correct.

 So, the correct sentence is- "A few well-wishers are enough to fight against thousands of haters because, in the end, good always wins over evil. So fear not, my friends, if you find hate coming in your way- have faith in yourself and the universe; everything will be alright," said the wise professor in his introductory speech to the batch. 

• Let’s see the meanings and usage of the following adjective-
• Few- used with countable nouns
• ‘Few’ means ‘hardly anything’.
• For example-

1. Few Bengalis can speak Marathi fluently.

• ‘A few’ means ‘some, at least’.
• For example-

1. A few Tamilians know Malayalam flawlessly.

• ‘The few’ means ‘not many, but all there is’.
• For example-

1. The few Bengalis I know can speak Marathi fluently.

The correct answer is None of these.

Key Points

In this question, We cannot form a meaningful combination by selecting phrases from column 1 and column 2.

• Because there is no relation between phrases given in column 1 and phrases given in column 2 (regarding contextually or grammatically)

The correct answer is A-F.

Key Points

• Phrase A informs us about 'a new technology developed by Indian scientists' and phrase F mentions how it is helping. Hence, the correct combination is A-F.
• The correct sentence is: A new technology developed by Indian scientists for ecological restoration is helping in revival of mangroves degraded due to rising sea levels.
• Phrase B informs us that Darwin demonstrated something and phrase D informs us what was demonstrated. So, the correct combination is B-D.
• The correct sentence is: As early as in 1880, Charles Darwin demonstrated that plants could sense light, moisture, gravity, pressure and possessed several other qualities.
• Phrase C discusses the major cause of rain production and phrase E mentions that moisture contrast is another cause of rain production. So, the correct combination is C-E.
• The correct sentence is: The major cause of rain production is moisture moving along three-dimensional zones of temperature and moisture contrasts known as weather fronts.

The correct answer is A - E,  B - D and C - F

Key Points 

• There are 3 correct combinations from the options given that form meaningful sentences.
• Parts A and E connect contextually. Part A states 'Alice was infuriated with her husband's behavior' and this is completed by the phrase in Part E which states 'when he misbehaved at the gala with all her co-workers'.
• In A - E, 'infuriated' means to be extremely angry over something. This can be caused by the bad behavior shown by someone, for example, a person from one's family misbehaving with someone one works with. So, one of the correct combinations is A - E.
• Parts B and D connect contextually. Part B states that 'The camp was surrounded on all sides by' and this is completed by the phrase in Part D which states 'a lush green forest and babbling brooks'.
• A 'camp' is 'a recreational institution providing facilities for outdoor activities, sports, crafts, and other special interests' and thus would most likely be placed in an outdoor setting like a forest or near a lake. So, one of the correct combinations is B - D.
• Parts C and E connect contextually. Part C states 'There is a reason Samantha is laughing' which is completed by the phrase in Part E which states 'so hard at Mark's hilarious jokes'.
• 'Laughing' is the act of 'making spontaneous sounds and movements of the face and body' at something that one finds funny or 'hilarious'. Thus, one of the correct combinations is C - E. 
• ​A - D is incorrect because being angry about inappropriate behavior has nothing to do with lush green forests and babbling streams.
• B - E is incorrect because being surrounded on all sides has nothing to do with misbehaving with co-workers.

The correct sentences are: 

• Alice was infuriated with her husband's behavior when he misbehaved at the gala with all her coworkers.
• The camp was surrounded on all sides by a lush green forest and babbling brooks.
• There is a reason Samantha is laughing so hard at Mark's hilarious jokes.

Additional Information

Let's look at the meanings of some of the hard words: 

The correct answer is A - F, B - D, C - E.

Key Points 

• There are three combinations from the given phrases that make meaningful sentences.
• Parts A and F connect grammatically and contextually. Part A states ‘Israeli Prime Minister Naftali Bennett aims to dissuade the US President from returning to the Iran nuclear deal when’ which is connected with Part F i.e. ‘the two leaders meet at the White House for the annual bilateral dialogue’.
• ​The word ‘when’ in Part A indicates that the information regarding time or occasion is mentioned in the next part. As such, Part F mentions the meeting of the two leaders(i.e. the occasion) at the White House. Thus, A-F is the correct combination.
• Parts B and D connect grammatically and contextually. Part B states ‘Natural disaster compounded by the collapse’ which is connected with Part D i.e. ‘of a lucrative export during the pandemic has thrust people into poverty’.
• The word ‘compounded’ in Part B indicates that the Natural disaster has been accompanied by another adverse event or scenario. Considering Part D, ‘lucrative export’ refers to the event compounding Natural disaster and adversely affecting the people. Thus, B-D is the correct combination.
• Parts C and E connect grammatically and contextually. Part C states ‘The iceberg, dubbed A-76, was spotted breaking away from the Ronne Ice Shelf in the Weddell Sea by’ which is connected with Part E i.e. ‘a researcher with the British Antarctic Survey on May 13*, 2015*’.
• ​While the preposition ‘by’ in Part C indicates that the iceberg A-76 was spotted by a person/people, part E mentions ‘a researcher’ with the British Antarctic Survey. Hence, we can infer that it was a researcher who spotted the iceberg. Thus, C-E is the correct combination.

The correct sentences will be:

• Israeli Prime Minister Naftali Bennett aims to dissuade the US President from returning to the Iran nuclear deal when the two leaders meet at the White House for the annual bilateral dialogue
• Natural disaster compounded by the collapse of a lucrative export during the pandemic has thrust people into poverty.
• The iceberg, dubbed A-76, was spotted breaking away from the Ronne Ice Shelf in the Weddell Sea by a researcher with the British Antarctic Survey on May 13, 2015.

The correct answer is Desecrated.

Key Points

Desecrated: treated (a sacred place or thing) with violent disrespect

• In the first sentence, using 'desecrated' would imply that the invading army ravaged and violently attacked the graves.
• In the second sentence, using 'desecrated' would mean that since the priests are knowledgeable men, they will never harm or insult the holy chambers.

Thus, we can see that 'Desicrated' would fit both the blanks appropriately.

Additional Information

The correct answer is Esoteric.

Key Points

Esoteric: intended for or likely to be understood by only a small number of people with specialized knowledge or interest

• In the first sentence, filling the blank with 'esoteric' would imply that the thoughts on the religious principles are not very commonplace. This is exactly what the sentence intends to convey.
• In the second sentence, the use of 'esoteric' in place of the blank would mean that the other people can feel left out or bored if a discussion takes place on a topic few have an idea about.

Hence, we can see that 'esoteric' can be used in place of both the blanks in Sentences 1 and 2.

Additional Information

The correct answer is ​combat.

Key Points

• From the first sentence, we get to know that he was killed in a fight during Second World War.
• From the second sentence, we get to know that the government is blocking the salaries of the public sector to fight inflation.
• In option 5, the word combat means a fight or contest between individuals or groups.
• Therefore, combat is the only word that fits here appropriately.

So, the correct sentences are, 

He was killed in combat during the Second World War.

The government is trying to combat inflation by freezing salaries in the public sector.

Additional Information ​​

The correct answer is B-D and A-F.

Key Points

• Phrase A informs us that rain can bring joy and phrase F mentions that one can enjoy the aesthetic appeal of it. The right combination is A-F.
• The correct sentence is: Rain can bring joy, as some consider it to be soothing or enjoy the aesthetic appeal of it.
• Phrase B informs us about the development of communication technology and phrase D mentions that posted letters have become less important because of the development of communication technology. So, the right combination is B-D.
• The correct sentence is: As communication technology has developed in recent history, posted letters on paper have become less important as a routine form of communication.
• Phrase C is about the short story and phrase E mentions how it has existed. Hence, the right combination is C-E.
• The correct sentence is: The short story is one of the oldest types of literature and has existed in the form of legends, mythic tales, folk tales, fairy tales, fables and  anecdotes in various ancient communities across the world.

Given:

The number of people who are attending the session on Sunday (male + Female) = 620

Number of people who are attending the session on Thursday (Male + Female) = 460

Formula used

Required more percentage = required difference ÷ (total educated + uneducated attending on Thursday)

Calculation

Total number of educated people who are attending on Sunday = 620

Total number of uneducated people who are attending Sunday = 620 × 6 ÷ 5 = 744

Total number of Educated and Uneducated person = 744 + 620 = 1364

Number of educated people who are attending on Thursday = 460

Total number of Illiterate people who are attending on Thursday = 460 × 3 ÷ 4 = 345

Hence, total number of educated and uneducated people = 345 + 460 = 805

Hence, required percentage = (1364 - 805) ÷ 805 × 100

= 559 ÷ 805 × 100 = 69.44 %

Given:

Thursday 210 educated male attended the seminar

Calculation

Number of male on Thursday (educated + uneducated) = 420

Number of educated male people on Thursday = 420 – 210 = 210

The given educated (male + female) = 460

Educated female on Thursday = 460 – 210 = 250

Given:

Reduced in the Percentage of educated people = 40%

Increase in the percentage of uneducated people = 40%

Formula used

Difference between number educated and uneducated people on Friday = Total number of uneducated people – Total number of educated people

Calculation

Number of educated people on Monday = 450

After the reduction of 40% = 450 × (60 ÷ 100) = 270 educated people

Total number of uneducated people on Monday = (450 × 4) ÷ 5 = 360

Increased in the percentage of uneducated people = 360 + 360 × (40 ÷ 100) = 360 + 144 = 504

Difference between educated and uneducated people on Friday = 504 – 270 = 234

Given:

Total number of educated people (male + female) on Tuesday = 340

Total number of educated people (male + female) on Monday = 450

Formula used

Required ratio = Total number of educated people on Tuesday ÷ Total number of uneducated people on Monday

Calculation

Educated people on Tuesday (male + female) = 340

Uneducated people on Monday = 450 × 4 ÷ 5 = 360

Hence, the required ratio = 340 ÷ 360

= 17 : 18

Given:

Total number of educated people on Sunday = 620

Total number of educated people on Tuesday = 340

Total number of educated people on Wednesday = 250

Formula used

Required average = total educated people (male + female) ÷ total number of days

Calculation

Total number of educated people = 620 + 340 + 250 = 1210

Hence, the required average of educated people on Sunday, Tuesday, and Wednesday = 1210 ÷ 3 = 403.3

From I,

x2 - 8√3x + 45 = 0

⇒ x2 - 5√3x - 3√3x + 45 = 0

⇒ x(x - 5√3) - 3√3(x - 5√3) = 0

⇒ (x  - 3√3)(x - 5√3) = 0 

Taking,

⇒ x - 3√3 = 0 or x - 5√3 = 0

⇒ x = 3√3 or x = 5√3

From II,

y2 - 10√2y + 32 = 0 

⇒ y2 - 8√2y - 2√2y + 32 = 0

⇒ y(y - 8√2) - 2√2(y - 8√2) = 0

⇒ (y - 8√2)(y - 2√2) = 0

Taking,

⇒ y - 8√2 = 0 or y - 2√2 = 0

⇒ y = 8√2 or y = 2√2

Comparison between x and y (via Tabulation):

​∴ x = y or no relation found between x and y.

From I,

x2 + 20x + 91 = 0

⇒ x2  + 13x + 7x - 91 = 0

⇒ x(x + 13) + 7(x + 13) = 0

⇒ (x + 7)(x + 13) = 0

Taking,

⇒ x + 13 = 0 or x + 7 = 0

⇒ x = - 13 or x = - 7

From II,

y2 - 21y + 80 = 0

⇒ y2 - 16y - 5y + 80 = 0

⇒ y(y - 16) - 5(y - 16) = 0

⇒ (y - 16)(y - 5) = 0

Taking,

⇒ y - 5 = 0 or y - 16 = 0

⇒ y = 5 or y = 16

Comparison between x and y (via Tabulation):

​∴ By comparing x and y, x < y.

Given:

8x² – 6x – 35 = 0

4y² + 28y + 49 = 0

Calculation:

From I,

8x² – 6x – 35 = 0

⇒ 8x² - 20x + 14x - 35 = 0

⇒ 4x(2x – 5) + 7(2x – 5) = 0

⇒ (4x + 7)(2x - 5) = 0

⇒ x = –7/4, 5/2

From II,

4y² + 28y + 49 = 0

⇒ (2y)² + 2 × 2y × 7 + 7² = 0

⇒ (2y + 7)² = 0

⇒ 2y = -7

⇒ y = –7/2

Comparison between x and y (via Tabulation):

∴ x > y.

Given:

I. 3x2 - 4x - 32 = 0

II. 7y2 - 8y - 12 = 0

Calculation:

From I,

3x2 - 4x - 32 = 0

⇒ 3x2 - 12x + 8x - 32 = 0

⇒ 3x(x - 4) + 8(x - 4) = 0

⇒ (x - 4)(3x + 8) = 0

Taking,

⇒ (x - 4) = 0 or (3x + 8) = 0

⇒ x = 4 or -(8/3)

From II,

7y2 - 8y - 12 = 0

⇒ 7y2 - 14y + 6y - 12 = 0

⇒  7y(y - 2) + 6(y - 2) = 0

⇒ (y - 2)(7y + 6) = 0

Taking,

⇒ (y - 2) = 0 or (7y + 6) = 0

⇒ y = 2 or -(6/7)

Comparison between x and y (via Tabulation):

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

Given:

I. 9x2 - 29x + 22 = 0

II. 2y2 - 17y + 36 = 0

Calculation:

From I,

9x2 - 29x + 22 = 0

⇒ 9x2 - 18x - 11x + 22 = 0

⇒ 9x(x - 2) - 11(x - 2) = 0

⇒ (x - 2)(9x - 11) = 0

Taking,

⇒ (x - 2) = 0 or (9x - 11) = 0

⇒ x = 2 or (11/9)

From II,

2y2 - 17y + 36 = 0

⇒ 2y2 - 8y - 9y + 36 = 0

⇒ 2y(y - 4) - 9(y - 4) = 0

⇒ (y - 4)(2y - 9) = 0

Taking,

⇒ (y - 4) = 0 or (2y - 9) = 0

⇒ y = 4 or (9/2)

Comparison between x and y (via Tabulation):

∴ x < y.

Shortcut Trick

Total persons = 3 teams × (1 leader + 5 members) + 1 Manager = 3 × 6 + 1 = 19 persons.

Sum of sales by teams = 6 × 67 + 6 × 72 + 6 × 48 = 6 × (67 + 72 + 48) = 6 × 187 = 1122.

Total target sales = 19 × 63 = 1197.

Satish sales = 1197 − 1122 = 75.

∴ The correct answer is 75.

Alternate Method

Given: Team Leaders (Ashu, Tapan, Suman) = 3; Members per team = 5.

Formula Used: Total Sales = Average × Number of People

⇒ Total members in each team (including leader) = 5 + 1 = 6

⇒ Sales by Ashu team = 6 × 67 = 402

⇒ Sales by Tapan team = 6 × 72 = 432

⇒ Sales by Suman team = 6 × 48 = 288

⇒ Sum of sales by all teams = 402 + 432 + 288 = 1122

⇒ Total people in department = (3 × 6) + 1 (Satish) = 19

⇒ Total target sales required = 19 × 63 = 1197

⇒ Sales required by Satish = 1197 − 1122 = 75

∴ The correct answer is 75.

Additional Information

Weighted Average

When different groups have different averages, the combined average is (n₁x₁ + n₂x₂ + ...) ÷ (n₁ + n₂ + ...).

Net Deviation Method

The sum of deviations of all observations from the average is always zero. This can be used to find a missing value in a set quickly.

Shortcut Trick

Let initial salary be 100 units. Spent on Rent + Travel = 30% + 15% = 45%.

Remaining = 55 units. Spent on Food = 35% of 55 = 19.25 units.

Savings = 55 − 19.25 = 35.75 units = ₹14300 → 1 unit = ₹400.

Original Salary = 100 units = ₹40000. New Salary = ₹44000 (10% increase).

Expenses = (45 + 19.25) units = 64.25 units = 64.25 × 400 = ₹25700.

New Savings = 44000 − 25700 = ₹18300.

∴ The correct answer is ₹18300.

Alternate Method

Given: Rent = 30%, Travel = 15%, Food = 35% of remaining, Savings = ₹14300.

⇒ Let Salary = S. Remaining after Rent and Travel = S × (100 − 45)% = 0.55S.

⇒ Savings = 0.55S × (100 − 35)% = 0.55S × 0.65 = 0.3575S.

⇒ 0.3575S = 14300 ⇒ S = 14300 ÷ 0.3575 = ₹40000.

⇒ Initial Total Expenses = Salary − Savings = 40000 − 14300 = ₹25700.

⇒ New Salary = 40000 + 10% of 40000 = ₹44000.

⇒ New Savings = New Salary − Expenses = 44000 − 25700 = ₹18300.

∴ The correct answer is ₹18300.

Additional Information

Percentage of Remaining

When spending on 'remaining' amount, use the multiplying factor: Final = Initial × (1 − r₁/100) × (1 − r₂/100).

Successive Percentage Change

Net change for two successive changes a% and b% is given by [a + b + (ab/100)]%.

Base Change Rule

If expenses remain constant, any increase in income directly adds to the savings amount.

Shortcut Trick

Let A's age be 3x (to avoid fractions for B).

Then B = 2x and C = 3x + 9.

Sum: 3x + 2x + 3x + 9 = 65 ⇒ 8x = 56 ⇒ x = 7.

Ages: C = 3(7)+9 = 30, A = 3(7) = 21, B = 2(7) = 14.

∴ The correct answer is 30 : 21 : 14.

Alternate Method

Given: Sum of ages of A, B, and C = 65 years.

Formula Used: Ratio = Value₁ : Value₂ : Value₃

⇒ Let age of A = a years.

⇒ Age of B = 2/3 × a

⇒ Age of C = a + 9

⇒ a + (2/3)a + (a + 9) = 65

⇒ 2a + (2/3)a = 65 − 9

⇒ (8/3)a = 56

⇒ a = (56 × 3) ÷ 8 = 21 years

⇒ A = 21, B = (2/3) × 21 = 14, C = 21 + 9 = 30

⇒ Ratio C : A : B = 30 : 21 : 14

∴ The correct answer is 30 : 21 : 14.

Additional Information

Ratio and Proportion

A ratio compares two quantities by division. To find a combined ratio like C:A:B, ensure all variables are expressed in terms of a common unit or variable.

Age Problems

In problems involving ages, the difference between the ages of two people remains constant regardless of the number of years passed.

Linear Equations

Setting up a single variable equation is often the most reliable method for solving complex word problems involving sums and relationships.

Shortcut Trick

Let the Principal (P) be 16 units.

Since interest is 4/16 times more, the Simple Interest (SI) = 4 units.

Using the relation: SI = (P × R × T) ÷ 100, where T = R years.

⇒ 4 = (16 × R²) ÷ 100 ⇒ R² = 25 ⇒ R = 5.

∴ The correct answer is 5.

Alternate Method

Given:

Interest rate = R% per annum

Time (T) = R years

Simple Interest (SI) = 4/16 of Principal (P)

Formula Used:

Simple Interest (SI) = (P × R × T) ÷ 100

Calculations:

⇒ Let the Principal (P) be x.

⇒ Simple Interest (SI) = (4 × x) ÷ 16 = x ÷ 4

⇒ x ÷ 4 = (x × R × R) ÷ 100

⇒ 1 ÷ 4 = R² ÷ 100

⇒ R² = 100 ÷ 4

⇒ R² = 25

⇒ R = 5

∴ The correct answer is 5.

Additional Information

Simple Interest Concept

Simple Interest is calculated only on the principal amount of a loan or investment. Formula: SI = P × R × T ÷ 100.

Relationship when Rate equals Time

When numerical values of Rate (R) and Time (T) are equal, the formula simplifies to R = 10 × √(SI ÷ P).

Shortcut Trick

Ratio of Time taken by X and (X+Y) is 20 : 60/7 ⇒ 140 : 60 ⇒ 7 : 3.

Ratio of Efficiency is inverse of Time: X : (X+Y) = 3 : 7.

Efficiency of Y = 7 − 3 = 4 units.

Percentage more efficiency of Y compared to X = (4 − 3)/3 × 100 = 100/3%.

∴ The correct answer is (100/3)%.

Alternate Method

Given: Time taken by X = 20 days, Time taken by X+Y = 60/7 days.

⇒ Efficiency of X = 3 units/day

⇒ Efficiency of X + Y = 7 units/day

⇒ Efficiency of Y = 7 − 3 = 4 units/day

⇒ Difference in efficiency = 4 − 3 = 1 unit/day

⇒ Percentage more efficiency = (Difference / Efficiency of X) × 100

⇒ Percentage more efficiency = (1 / 3) × 100 = 100/3%

∴ The correct answer is (100/3)%.

Additional Information

Efficiency and Time Relationship

Efficiency is inversely proportional to the time taken to complete a work. Efficiency = Total Work ÷ Time.

Percentage Comparison

To find how much more percent A is than B, use the formula: [(A − B) ÷ B] × 100.

Combined Work Formula

If X takes 'a' days and Y takes 'b' days, together they take (a × b) ÷ (a + b) days.

Percentage of people who like Green = 23%

Percentage of people who like Blue = 40%

So, out of 40000, 63% like green or blue = 25200 people

Total number of doctors are 10% of 40000 i.e. 4000

Doctors who like red colour are 40% of 4000 = 1600

Total number of people who like red colour is 20% of 40000 = 8000

Other people who like red colour too = 8000 – 1600 = 6400

The people who like red are 20% of 40000

The people who like yellow are 11% of 40000

Difference = (20 - 11) % of 40000

So, difference = 9% of 40000 = 3600

Number of painters are 40% of 40000 = 16000

Number of professors are 20% of 40000 = 8000

Number of painters who like blue colour are 30% of 16000 = 4800

Number of professors who like blue colour are 10% of 8000 = 800

Total = 5600

The total number of people who like Brown colour are 6% of 40000 = 2400

Shortcut Trick

Initial Ratio of Milk and Water = 12 : 20 = 3 : 5.

Replacement volume = 6.4 litres; Ratio remains 3 : 5 in the drawn-out part.

Milk removed = 3/8 × 6.4 = 2.4 litres; Water removed = 5/8 × 6.4 = 4.0 litres.

Final Milk = 12 − 2.4 + 6.4 = 16 litres; Final Water = 20 − 4.0 = 16 litres.

Final Ratio = 16 : 16 = 1 : 1.

∴ The correct answer is 1 : 1.

Alternate Method

Given: Initial Milk = 12L, Initial Water = 20L, Total = 32L.

Formula Used: Quantity removed = (Component/Total) × Drawn amount.

⇒ Total mixture = 12 + 20 = 32 litres.

⇒ Amount of Milk removed = (12/32) × 6.4 = 2.4 litres.

⇒ Amount of Water removed = (20/32) × 6.4 = 4.0 litres.

⇒ Final Milk = 12 − 2.4 + 6.4 (replaced) = 16 litres.

⇒ Final Water = 20 − 4.0 = 16 litres.

⇒ Final Ratio = 16/16 = 1/1.

∴ The correct answer is 1 : 1.

Additional Information

Ratio Retention Rule

When a part of a mixture is removed, the remaining mixture and the removed portion both retain the same initial ratio of components.

Replacement Formula

For repeated replacement: Final Water = Initial Water × (1 − x/V)ⁿ, where x is quantity removed and V is total volume.

Shortcut Trick

Remaining Distance = 1 − 3/4 = 1/4 of 540 km = 135 km.

Time delay = 1 hour. Speed increase = 15 kmph.

Using Distance = [S × (S + 15) ÷ 15] × Time Difference

135 = [S × (S + 15) ÷ 15] × 1 ⇒ S(S + 15) = 2025

Since 45 × 60 = 2700 (too high) and 30 × 45 = 1350 (too low), we test S = 45: 45 × 60 = 2700. Wait, S(S+15) = 2025 ⇒ 45 × 45 = 2025. Incorrect. Let's use S = 45 ⇒ 45 × 60 = 2700.

Actually, Increased Speed = 45 + 15 = 60 kmph. Checking: 135/45 − 135/60 = 3 − 2.25 = 0.75 hr (not 1 hr). Re-calculating: 135 = [S(S+15)/15] × 1 ⇒ 2025 = S² + 15S ⇒ S = 38.2... Let's check logic: Remaining dist is 135 km. If Increased speed is 60, original was 45. Time diff = 135/45 − 135/60 = 3 − 2.25 = 45 mins. For 1 hour: 15/S − 15/(S+15) is not the way. 135/S − 135/(S+15) = 1 ⇒ 135(15) = S(S+15) ⇒ 2025 = S² + 15S ⇒ S = 38.2. If the question implies distance AB is 540 and 3/4^th was covered, remaining is 135. However, if total distance is larger or if 540 is the remaining part, let's re-read. "3/4 distance... which is 540" means 3/4 × D = 540 ⇒ D = 720. Remaining = 180 km. 180/S − 180/(S+15) = 1 ⇒ 180 × 15 = S(S+15) ⇒ 2700 = S(S+15). For S=45, 45 × 60 = 2700. Increased speed = 60 kmph.

∴ The correct answer is 60 kmph.

Alternate Method

Given: 3/4^th of total distance = 540 km. Time delay = 1 hour. Speed increase = 15 kmph.

Formula: Distance = [S₁ × S₂ ÷ (S₂ − S₁)] × Δt

⇒ Total Distance (D) = 540 × (4/3) = 720 km.

⇒ Remaining Distance = 720 − 540 = 180 km.

⇒ Let original speed be S. New speed = S + 15.

⇒ 180/S − 180/(S + 15) = 1

⇒ 180 × [ (S + 15 − S) / (S(S + 15)) ] = 1

⇒ 180 × 15 = S² + 15S

⇒ S² + 15S − 2700 = 0

⇒ (S + 60)(S − 45) = 0 ⇒ S = 45 kmph (Speed cannot be negative).

⇒ Increased speed = S + 15 = 45 + 15 = 60 kmph.

∴ The correct answer is 60 kmph.

Additional Information

Speed-Distance-Time Relation

When distance is constant, speed is inversely proportional to time (S ∝ 1/T). Ratio of speeds S₁:S₂ = T₂:T₁.

Time Delay Formula

To find distance when speed changes by ΔS and time changes by Δt: Distance = [S × (S ± ΔS) ÷ ΔS] × Δt.

Average Speed

For two equal halves of a journey with speeds u and v, Average Speed = 2uv ÷ (u + v).

Shortcut Trick

Downstream speed (D) = 20 km ÷ (50/60) h = 24 kmph.

Speed of water (w) = 20% of 24 = 4.8 kmph.

Speed of boat in still water (v) = D − w = 24 − 4.8 = 19.2 kmph.

Upstream speed (U) = v − w = 19.2 − 4.8 = 14.4 kmph.

Time for 60 km upstream = (60 ÷ 14.4) × 60 min = 250 min.

∴ The correct answer is 250 min.

Alternate Method

Given: Downstream distance = 20 km, Time = 50 min, Water speed = 20% of Downstream speed.

Formula: Speed = Distance ÷ Time; Upstream Speed = Boat Speed − Stream Speed.

⇒ Downstream Speed (D) = 20 / (50/60) = (20 × 6) / 5 = 24 kmph.

⇒ Speed of water (w) = 0.20 × 24 = 4.8 kmph.

⇒ Speed of boat in still water (v) = D − w = 24 − 4.8 = 19.2 kmph.

⇒ Upstream Speed (U) = v − w = 19.2 − 4.8 = 14.4 kmph.

⇒ Time required = Distance / U = 60 / 14.4 hours.

⇒ Time in minutes = (60 / 14.4) × 60 = 3600 / 14.4 = 250 min.

∴ The correct answer is 250 min.

Additional Information

Downstream and Upstream Speeds

Downstream speed (D) = v + w and Upstream speed (U) = v − w, where v is boat speed and w is stream speed.

Speed of Boat and Stream

v = (D + U) / 2 and w = (D − U) / 2. These are derived directly from the basic speed equations.

Relative Speed in Water

The effective speed changes based on the direction of the current; moving with the current adds speed, while moving against it subtracts speed.

Shortcut Trick

Since the Selling Price (SP) is the same for both, we use the ratio of Cost Price (CP) inverse to the Multipliers.

For Alpha: CP_A × 130/100 = 75000 | For Beta: CP_B × 70/100 = 75000.

Equating SP: CP_A × 130 = CP_B × 70.

Ratio CP_A : CP_B = 70 : 130 = 7 : 13.

∴ The correct answer is 7 : 13.

Alternate Method

Given → SP = Rs. 75,000 for both | Alpha Profit = 30% | Beta Loss = 30%. Formulas: CP = SP × 100 ÷ (100 + P%) | CP = SP × 100 ÷ (100 − L%)

⇒ CP of Alpha = 75000 × 100 ÷ 130 = 750000 ÷ 13. ⇒ CP of Beta = 75000 × 100 ÷ 70 = 750000 ÷ 7. ⇒ Ratio = (750000 ÷ 13) : (750000 ÷ 7). ⇒ Ratio = 1/13 : 1/7 = 7 : 13.

∴ The correct answer is 7 : 13.

Additional Information

Same SP and Net Result

When two articles are sold at the same price, one at x% gain and another at x% loss, there is always a net loss of x² ÷ 100%.

Cost Price Ratio

If SP is constant, CP is inversely proportional to (100 ± Profit/Loss%). Ratio CP₁:CP₂ = (100 + P₂% or 100 − L₂%) : (100 + P₁% or 100 − L₁%).

Shortcut Trick

The difference in Selling Price (SP) is solely due to the discount amount.

Discount = Marked Price (MP) − Selling Price (SP) = Rs. 500.

Total SP for both articles = (MP − Discount) + MP = (5000 − 500) + 5000 = Rs. 9500.

Total Profit% = 18.75% = 3/16 (as 6.25% = 1/16, so 3 × 6.25% = 3/16).

Ratio of CP : SP = 16 : (16+3) = 16 : 19.

19 units = Rs. 9500 ⇒ 1 unit = 500 ⇒ Total CP (2 articles) = 16 × 500 = Rs. 8000.

∴ The correct answer is Rs. 4000.

Alternate Method

Given → Marked Price (MP) = Rs. 5000 | Difference in SP = Rs. 500 | Total Profit% = 18.75%. Formulas: SP = MP − Discount | Total SP = CP × (100 + Total P%)/100 | Total CP = CP₁ + CP₂.

⇒ SP of 1^st article (no discount) = Rs. 5000. ⇒ SP of 2^nd article (with discount) = 5000 − 500 = Rs. 4500. ⇒ Total SP = 5000 + 4500 = Rs. 9500. ⇒ Let Total CP be X. Then X × (1 + 18.75/100) = 9500. ⇒ X × (1 + 3/16) = 9500 ⇒ X × 19/16 = 9500. ⇒ X = (9500 × 16) ÷ 19 = 500 × 16 = Rs. 8000. ⇒ CP of one article = 8000 ÷ 2 = Rs. 4000.

∴ The correct answer is Rs. 4000.

Additional Information

Percentage to Fraction Conversion

Converting profit percentages like 18.75% into fractions (3/16) simplifies calculation significantly. 6.25% = 1/16, so 18.75% = 3/16.

Marked Price & Selling Price

When no discount is offered, the Marked Price becomes the Selling Price. The difference in SP is equal to the discount value provided.

According to the question,

The number of students who passed in Maths and Science only = (14% + 31%) × 1800

The number of students who passed in Maths and Social only= (13% + 31%) × 1800

The number of students who passed in Social  and Science only= (12% + 31%) × 1800

For exactly two subjects, we have to neglect the students who passed in all the three subjects = 31% 

The number of students who passed only two subjects  = (13% + 12% + 14%) × 1800

The number of students passed who failed in all three subjects 

= 1 - {P(A) + P(B) + P(C) + P(A ∪ B  ∪ C) + P( A ∪ B) + P(A ∪ C) + P(B∪ C)}  

The number of students passed who failed in all three subjects = 6%

The number of students who failed in all three subjects = 6% × 1800 = 108.

The number of students who passed in Maths and Science = (14% + 31%) × 1800

The number of students who passed in Maths and Social = (13% + 31%) × 1800

The number of students who passed in Social  and Science = (12% + 31%) × 1800

Here, the question is exactly two subjects so we have to neglect all three subjects passed students 31% we are not considering

The number of students who passed only two subjects  =(13% + 12% + 14%) × 1800

⇒ 39% of 1800

⇒ 39/100 × 1800

⇒ 702

∴ The number of students who passed exactly two subjects = 702

The number of students who passed in only Maths = 7% of 1800

The number of students who passed in only Science = 9% of 1800

The number of students who passed in only Social  = 8% of 1800

So, the number of students who passed in only one subject = (7% + 9% + 8%) of 1800

⇒ 24% of 1800 

⇒ 432

∴ The number of students who passed in only one subject = 432

The number of students who passed only Science = 9% of 1800

The number of students who passed in all subjects together = 31% of 1800

The number of students who passed in Science and Maths only = 14% of 1800

The number of students who passed in Science and Social only =  12% of 1800

The number of students who passed in subject Science  = (9% + 12% + 14% + 31% ) of 1800

⇒ 66% of 1800

⇒ 1188

∴ The number of students who passed in Science subject =  1188

Given that,

The total number of students = 2500

The number of students who passed all three subjects = 31% of 2500 

⇒ 31/100 × 2500

⇒ 775

∴ The number of students who passed all three subjects = 775

Calculation:

The series follows following pattern:

⇒ 2 × 6 – 1 = 11

⇒ 11 × 5 – 1 = 54

⇒ 54 × 4 – 1 = 215

⇒ 215 × 3 – 1 = 644

⇒ 644 × 2 – 1 = 1287

∴ The value of ? is 1287

Calculation:

The series follows following pattern:

⇒ 3 × 8 = 24

⇒ 24 × 4 = 96

⇒ 96 × 2 = 192

⇒ 192 × 1 = 192

⇒ 192 × 0.5 = 96

∴ The value of ? is None of these

Calculation:

The series follows the following pattern:

⇒ 18 + 11 = 29

⇒ 56 – 9 = 47

⇒ 29 + 7 = 36

⇒ 47 – 5 = 42

∴ The value of ? is 36

Calculation:

The series follows the following pattern:

⇒ 3 + 19 = 22

⇒ 22 – 6 = 16

⇒ 16 + 19 = 35

⇒ 35 – 6 = 29

⇒ 29 + 19 = 48

∴ The value of ? is 22

Calculation:

The series follows following pattern:

⇒ 510 – 200 = 310

⇒ 310 – 100 = 210   

⇒ 210 – 50 = 160

⇒ 160 – 25 = 135

⇒ 135 – 12.5 = 122.5

∴ The value of ? is 310

Note: Difference is divided by 2

Code for the word great: Either "pox, asw, or ktr"

Code for the word health: Either "pox, asw, or ktr"

Hence, Cannot be determined is the correct answer.

Code for the word heated: nyc

Code for the word are: ctx

Code for the word home: pqr/ nxw

Code for the word well: fou

Code for the word cool: sit

Code for the word girls:  pqr/ nxw

Hence, nyc sit pqr ctx fou nxw is the correct answer.

Word for the code nor: Either try or pour

Word for the code tux: sun

Hence, try sun is the correct answer

Code for health: Either pox, asw, or ktr

Code for laptop: tar

Code for heated: nyc

Code for are: ctx

Code for sun: tux

Hence, Either Option 1 or 3 is the correct answer.

Code for well: fou

Code for but: ctd

Code for cool: sit

Hence, fou sit ctd is the correct answer.

Given,

Persons: P, Q, R, S, T, U, V and W

Year: 1982, 1986, 1990, 1993, 1996, 1999, 2000, and 2009

Base year: 2021

1. Two persons were born between R and Q.
2. The age of R is perfect square of 5.

3. One person was born between Q and W.
4. Three persons were born between W and V.

5. P is younger to V and elder to R.

Case II eliminated and case I Splits into one more case i.e. Case 1(a)

6. The age of P is multiple of 7.
7. Sum of V’s age and S’s age is 56.

Case I(a) eliminated

8. The difference between the age of S and the age of T is 18.

Hence, U was born in 1990.

Given,

Persons: P, Q, R, S, T, U, V and W

Year: 1982, 1986, 1990, 1993, 1996, 1999, 2000, and 2009

Base year: 2021

1. Two persons were born between R and Q.
2. The age of R is perfect square of 5.

3. One person was born between Q and W.
4. Three persons were born between W and V.

5. P is younger to V and elder to R.

Case II eliminated and case I Splits into one more case i.e. Case 1(a)

6. The age of P is multiple of 7.
7. Sum of V’s age and S’s age is 56.

Case I(a) eliminated

8. The difference between the age of S and the age of T is 18.

Hence, P was born in 1993.

Given,

Persons: P, Q, R, S, T, U, V and W

Year: 1982, 1986, 1990, 1993, 1996, 1999, 2000, and 2009

Base year: 2021

1. Two persons were born between R and Q.
2. The age of R is perfect square of 5.

3. One person was born between Q and W.
4. Three persons were born between W and V.