SBI PO Prelims Memory Based Paper (Held on: 17th December 2022 Shift 1) (Previous Year Paper)

The correct answer is 'CABD'.

Key Points

• After going through the sentence we find that:
• Part E talks about retail supermarkets which is not relevant to the context.
• So the odd part is E.
• The sentence should begin with C followed by A which mentions that India is one of the largest centres for polishing gems and diamonds(as mentioned in part B).
• Clearly, the next part is B which mentions that India is famous for polishing diamonds and gems.
• The concluding part is D which mentions that India is also known as one of the largest centres for manufacturing jewellery.
• Thus, only CABD can make a coherent sentence.
• The correct sentence will be: India is one of the largest centres for polishing diamonds and gems and manufacturing jewellery.

Additional Information

Manufacturing: making or producing

Hinglish

• वाक्य को पढ़ने के बाद हम पाते हैं:
• भाग E खुदरा सुपरमार्केट के बारे में बात करता है जो संदर्भ के लिए प्रासंगिक नहीं है।
• अतः विषम भाग E है।
• वाक्य C से शुरू होना चाहिए और उसके बाद A होना चाहिए जिसमें उल्लेख किया गया है कि भारत रत्नों और हीरों को चमकाने के सबसे बड़े केंद्रों में से एक है (जैसा कि भाग B में बताया गया है)।
• जाहिर है, अगला भाग B में उल्लेख है कि भारत हीरों और गहनों को खींचने के लिए प्रसिद्ध है।
• समापन भाग D है जिसमें उल्लेख किया गया है कि भारत को आभूषण निर्माण के सबसे बड़े केंद्रों में से एक के रूप में भी जाना जाता है।
• इस प्रकार, केवल CABD ही सुसंगत वाक्य बना सकता है।
• The correct sentence will be: India is one of the largest centres for polishing diamonds and gems and manufacturing jewellery.

The correct answer is 'EACB'.

Key Points

• After going through the sentence we find that:
• Part D talks about India's infrastructure and transport sector which is not relevant to the context.
• So, the odd part is D.
• The sentence should begin with E followed by A which explains the meaning of the word 'ethics'
• The next part should be C as it explains the role of ethics.
• The last part is B which mentions that in order to answer various kinds of questions it uses reason.
• Thus, only EACB can make a coherent sentence.
• The correct sentence will be: The word ethics can refer to philosophical ethics or moral philosophy, disciplines that attempt to use reason to answer various kinds of ethical questions.

Additional Information

Ethics: morals

Attempts: try or make an effort to achieve

The correct answer is 'BEAD'.

Key Points

• After going through the sentence we find that:
• Part C talks about high-yielding varieties of seeds which is not relevant to the context.
• So, the odd part is C.
• The sentence should begin with B followed by E which mentions the impact of deforestation on rainforests and endemic rainforest species.
• The next part is A. It informs us that habitat loss is another reason behind the rapid disappearance of rainforests and the endemic rainforest species.
• The last part is D which concludes the sentence by mentioning another issue which is also harmful for rainforest.
• Thus, only BEAD can only make a coherent sentence.
• The correct sentence will be: Rainforests as well as endemic rainforest species are rapidly disappearing due to deforestation, resulting in habitat loss and pollution of the atmosphere.

Additional Information

Endemic: a plant or animal which is native or restricted to a place

Disappearing: vanishing

Deforestation: the removal of a forest or the process of clearing a wide area of trees

Habitat: the natural home of an animal, plant or other living thing

The correct answer is 'CDEB'.

Key Points

• After going through the sentence we find that:
• Part A talks about the Indian private sector which is not relevant to the context.
• So, the odd part is A.
• The sentence should begin with C followed by D which mentions that the states of awareness and states of experience are connected.
• The next part should be E. 'So that' is used here to show the purpose of the association which is previously mentioned in the sentence.
• The concluding part is B as it talks about the reflection of the structure represented in awareness in the structure of experience.
• Thus, only CDEB can make a coherent sentence.
• The correct sentence will be: The states of awareness are also associated with the states of experience so that the structure represented in awareness is mirrored in the structure of experience.

Additional Information

Awareness: consciousness or understanding

Associated: connected

Represented: stood for 

Mirrored: reflected

The correct answer is 'AEBD'.

Key Points

• After going through the sentence we find that:
• Part C talks about British territorial expansion which is not relevant to the context.
• Hence, the odd part is C.
• The sentence should begin with A followed by E which mentions what does gardening provide.
• The next part should be B. From this part we understand that gardening can provide a feeling of self-sufficiency.
• The last part is D. It informs us the reason behind the feeling of self-sufficiency.
• Thus, only AEBD can make a coherent sentence.
• The correct sentence will be: Gardening provides a powerful feeling of self-sufficiency by growing your own food.

Additional Information

Provides: gives

Self-sufficiency: self-reliance or self-support

The correct answer is Separately.

Key Points

• The given passage is about the Reserve bank of India.
• Let's read the sentence from the given passage: The Reserve Bank of India on Friday asked the banks and other lenders to report the accounts restructured due to coronavirus (1) to credit bureaus.
• From the above mentioned sentence we can infer that the RBI has asked the banks and other lenders to report to the credit bureaus regarding the account restructured.
• The word 'separately' which means 'one by one' or 'individually' is appropriate for the first blank because the banks should report separately.
• Hence, option 2) is the answer.

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The complete sentence will be: The Reserve Bank of India on Friday asked the banks and other lenders to report the accounts restructured due to coronavirus separately to credit bureaus.

Additional Information

The meaning of the other given words:

• Insatiable: never satisfied
• Grievously: to a very serious degree
• Intercept: to stop someone or something so that it cannot reach its destination

The correct answer is Modification.

Key Points

• The given passage is about the Reserve bank of India.
• Let's read the sentence from the given passage: Lenders should make necessary (2) to their system
• From the above mentioned sentence we infer that the lenders were suggested to do something in order to solve the issue.
• The meaning of the word 'Modification' is 'the action of modifying or changing something' and it is appropriate for the blank because modification to the system may solve the issue.
• Hence, option 4) is the answer.

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The complete sentence will be: Lenders should make necessary modification to their system

Additional Information

The meaning of the other given words:

• Degenerate: decline or grow worse
• Conjecture: to guess or form an opinion about something
• Piteous: pitiful

The correct answer is report.

Key Points

• The given passage is about the Reserve bank of India.
• Let's read the sentence from the given passage: (3) it to credit bureaus within two months, the banking regulator said.
• From the above mentioned sentence we infer that after the modification the lenders should inform the credit bureaus.
• Therefore, the word 'report' is appropriate for the given sentence.
• Hence, option 1) is the answer.

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The complete sentence will be: report it to credit bureaus within two months, the banking regulator said.

Additional Information

The meaning of the other given words:

• Recuperate: to get back to normal
• Reiterate: to repeat or say again
• Fathom: to understand
• Emend: to make corrections

The correct answer is Asked.

Key Points

• The given passage is about the Reserve bank of India.
• Let's read the sentence from the given passage: India Financial Institutions (Exim Bank, NABARD, NHB and SIDBI) and non-banking financial companies (including housing finance companies) were (4) to apprise the credit bureaus about restructuring the accounts.
• From the above mentioned sentence we infer that the banks and lenders were told to report the credit bureaus about restructuring the accounts.
• Therefore, the word 'asked' is appropriate for the first blank.
• Hence, option 3) is the answer.

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The complete sentence will be: India Financial Institutions (Exim Bank, NABARD, NHB and SIDBI) and non-banking financial companies (including housing finance companies) were asked to apprise the credit bureaus about restructuring the accounts. 

Additional Information

The meaning of the other given words:

• Terminate: to bring to an end
• Retort: say in response
• Perpetrated: carried out

The correct answer is Incorporate.

Key Points

• The given passage is about the Reserve bank of India.
• Let's read the sentence from the given passage: The regulator modified the format to (5) the restructuring of accounts due to COVID-19.
• From the above mentioned sentence we infer that the regulator modified the format to solve the issue.
• The word 'incorporate' can be used here because the situation can be handled by absorbing or including the restructuring of accounts.
• Hence, option 4) is the answer.

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The complete sentence will be: The regulator modified the format to incorporate the restructuring of accounts due to COVID-19. 

Additional Information

The meaning of the other given words:

• Excluding: keeping out
• Detached: disconnected
• Existing: in existence
• Execute: carry out

The correct answer is Existing.

Key Points

• The given passage is about the Reserve bank of India.
• Let's read the sentence from the given passage: The (6) field ‘account status’ will have a new catalogue value, viz., ‘restructured due to COVID-19' for MFI bureau.
• From the above mentioned sentence we infer that the field ‘account status’ which is in operation at the current time will have something new.
• Therefore, the word 'Existing' which means 'in existence' is appropriate for the sentence.
• Hence, option 5) is the answer.

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The complete sentence will be: The existing field ‘account status’ will have a new catalogue value, viz., ‘restructured due to COVID-19' for MFI bureau.

Additional Information

The meaning of the given words:

• Exhilarate: to make someone feel happy
• Reconcile: to bring back together again
• Discern: to find out or detect
• Refined: purified

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

Key Points

• In the first part of the given sentence, the plural form of the verb 'do' is incorrect.
• The subject 'Education' in the given sentence is a singular subject.
• We know that a singular subject always takes a singular verb.
• The singular form of the verb 'does' should be used with the singular subject 'Education'.
• Therefore, the singular form of the verb 'does' should be used in place of the plural form of the verb 'do'.
  

Hence, the correct answer is option 1.

Correct sentence: Education does not mean teaching people to know what they do not know; it means teaching them to behave as they do not behave.

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Additional Information

• Subjects and verbs must agree with one another in number (singular or plural).
• Thus, if a subject is singular, its verb must also be singular; if the subject is plural, its verb must also be plural.

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

Key Points 

• In the first part of the given sentence, the noun 'COVID-19 pandemic' is a specified noun.
• The definite article 'the' is used before singular and plural nouns when the noun is specific or particular.
• 'A' and 'an' are indefinite articles, which means that they refer to, or introduce, an unspecified noun.
• We use 'a' before a consonant sound and we use 'an' before a vowel sound.
• ''No article'' is used when we refer to general ideas, plurals, or uncountable nouns.
• Therefore, the definite article 'the' should be used in place of the indefinite article 'a'.
  

Hence, the correct answer is option 1.

Correct Sentence: The COVID-19 pandemic is an ongoing global pandemic of coronavirus disease 2019 caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2).

Additional Information

There are three articles: a, an, and the. Articles are used before nouns or noun equivalents and are a type of adjective.

The correct answer is Option (2) i.e. Only B

Key Points

• Replace SQUARES with SQUARE.
• 'Square' is an adjective( a unit) here while 'squares' is a noun( a geometric figure).
• Square as an adjective is used before units of length when referring to the area of something. 
• For example, if something is three meters long and two meters wide, its area is six square meters.
• Hence, option 2 is the correct answer.
  

 The correct sentence is: My father gave me a five hundred square feet house from his property so that I can live a respectful life.

The correct answer is '(B)'.

Key Points

Reading the sentence we find that:

• The adjective order some Mughal silver charming used in part B is incorrect.
• The order of cumulative adjectives is as follows: quantity, opinion, size, temperature, age, color, shape, origin, and material
• The sentence can be made correct if we reorder the adjectives in the following manner - some charming Mughal silver ( quantity- opinion - age - material)

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The correct sentence will be: I bought some charming Mughal silver ornaments at the Hauz Khas market and enjoyed visiting the ruins yesterday. 

Additional Information

• When a number of adjectives are used together, the order depends on the function of the adjective. The usual order is:
• quantity, value/opinion, size, temperature, age, shape, colour, origin, material

 

 

• For example - I love the beautiful old big green antique car that is always parked at the end of the street. [quality – age – size – color – origin]

The correct answer is -must bring their own costume- the error lies in this part only.

 

Key Points

In the sentence, the error is in part C where the possessive pronoun their is incorrect.

• In the sentence, the teacher says that every girl should bring costume to participate in the competition. There is an emphasis that every girl should bring own costume.
• The usage of their is inappropriate in this context. ‘Every girl’ being singular noun, the correct possessive pronoun should be her instead of their.

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Thus the correct sentence is: The teacher said that every girl in the class must bring her own costume to participate in the dance competition.

Additional Information​

• Possessive pronouns indicate that something belongs to someone. These are never spelled with apostrophes. Commonly known possessive pronouns are my, our, your,his, her, its and their.
• There are independent possessive pronouns ( absolute possessive pronouns) namely mine, ours, yours, his, hers, its and theirs, which are used without a noun. Examples:​
• My laptop is not working. Please give me yours.
• Did you know that dress is mine?
• The car parked on the street is theirs.

The correct answer is ‘call for fisheries to move away from’.

Key Points 

• In the given sentence, the use of ‘call up’ in the phrase ‘call up fisheries to move away from’ is incorrect.
• The phrasal verb ‘call up’ means ‘to order or summon together for a duty’. Considering the given sentence, it can be inferred that the environmentalists cannot order or summon the fisheries, as they do not have any such authority. Besides, they are not bringing the fisheries sector together for any duty. Thus, usage ‘call up’ is inappropriate.
• In the context of the sentence, it is most plausible that the environmentalists urge the fisheries to move away from harmful practices. Therefore, we need to find a phrasal verb that means ‘to urge or request’. ‘Call for’ means ‘to make a request or demand’. Thus, the correct answer is option 3.

The correct sentence will be: Environmentalists call for fisheries to move away from carbon-spewing engines and climate-harming practices such as bottom trawling.

Additional Information

• ‘Call in’ means to summon for one’s help or consultation. Example: The officer called in the surveyor to oversee the implementation work.
• ​‘Call at’ means to stop at a place briefly. It is used while referring to a ship or a boat. Example: The ship called at the port for an hour.

The correct answer is ‘has been filmed chasing and eating’.

Key Points

• In the given sentence, the verb form ‘chase’ used in the phrase ‘has been filmed to chase and eating’ is incorrect.
• The sentence talks about a Seychelles giant tortoise that was thought to be a strict herbivore. Considering the sentence, ‘has been filmed to chase and eating’ is incorrect as per the parallel structure/ parallelism rule. While ‘eating’ reflects present continuous tense, ‘to chase’ indicates ‘infinitive’. Thus, there is distortion in the parallel structure.
• The correct verb form should be in the present continuous tense. Hence, ‘chasing’ is correct.
• Options 1 consists of incorrect verb form, so it is incorrect. Options 2 and 4 mention ‘have’, which is plural and thus incorrect while talking about a tortoise( singular noun).
• Therefore, the correct answer is option 3.

The correct sentence will be: A Seychelles giant tortoise, a species previously thought to be a strict herbivore, has been filmed chasing and eating a baby bird in a 'horrifying and amazing' attack, with researchers stating it was the first documented example of deliberate hunting in the wild by the species.

Additional Information 

• Parallelism, also referred to as parallel structure or parallel construction, is a grammatical balance within a sentence. It is the matching of the forms of words, phrases, or clauses in a sentence.

The correct answer is a million rupees is.

Key Points

• Whenever adjectives such as much, less, little and more are used as nouns, they are always followed by a singular verb.
• Ex: a thousand rupees is required to take the ride.
• Also, the sentence is in the present form, hence, option 3 is eliminated.
• So, Option 2 is the only correct answer.

The correct sentence is: Amount of less than a million rupees is required right now. Take the money to the bank and withdraw it.

Additional InformationCountable and Uncountable nouns:

• Nouns can be countable or uncountable. Countable nouns can be counted, e.g. an apple, two apples, three apples, etc. Uncountable nouns cannot be counted, e.g. air, rice, water, etc.
• For positive sentences, we can use a/an for singular nouns or some for plurals.
• There's a man at the door.  I have some friends in New York.
• For negatives, we can use a/an for singular nouns or any for plurals.
• I don't have a dog.  There aren't any seats.
• We use 'some' with uncountable nouns in positive sentences and 'any' with negatives.
• There's some milk in the fridge.  There isn't any coffee

The correct answer is Utmost.

Key Points

• Significant: Important in effect or meaning
• "a significant change in tax laws"
• Utmost: Of the greatest possible degree, extent or intensity
• "utmost contempt"

Hence, the word 'significant' should be replaced with 'utmost' to form a contextually correct sentence.

It should read as:  

The firm continues to place utmost significance on regulatory compliance and strives to fulfil supervisory standards, according to a press statement.

 Additional Information

​ Let us understand the meaning of the other options:

• Finicky: Exacting especially about details
• Initiate: Take the lead or initiative in
• Partial: Being or affecting only a part; not total
• Subsequent: Following in time or order

The correct answer is option 1, i.e. ‘impertinent’ meaning ‘not showing proper respect; rude.'

From the sentence, it is very clear that the speaker is trying to highlight Shriya’s irrelevant manner that outside she behaved respectfully but inside she shut the speaker in the most barefaced way, hence, judicious does not make sense.

The meaning of the other words-

• Persistent: continuing firmly or obstinately in an opinion or course of action in spite of difficulty or opposition
• Relevant: closely connected or appropriate to what is being done or considered
• Permanent: lasting or intended to last or remain unchanged indefinitely

The correct answer is option 2 i.e. "fifty percentage of the quota"

Key Points

• The passage states that "Access will be consistent with the actual balance of payments needs, capped at 50 percent of the quota, and will be added to the current annual access limits under the RCF/RFI."
• So, we can say that  the highest limit on the actual balance of payments needs is capped at 50 percent of the quota.

Hence, the correct answer is fifty percentage of the quota.

The correct answer is option 3 i.e "driving up"

Key Points

• Drive up:
• Grammatical class: phrasal verb.
• Meaning: Increase in value, price or amount of something.
• Example: The on going famine is driving up the inflation.

Hence, the correct answer is driving up.

The correct answer is option 1 i.e only II and III.

Key Points

• Acute: 
• Meaning: Extreme, severe or becoming dangerous
• Synonyms: Grave, profound, excruciating
• Antonym: Mild.
• "I) She is doing this work since the last two years hence she can do it acute." 
• ​This sentence doesn't make any sense.
• "II) His grand father is suffering from an acute disease."
• ​Which means his grandfather is suffering from a serious illness.
• "III) There is an acute connection between political instability and civil war."
• ​Which means there is a strong relationship between political instability and civil war.

Hence, only sentence II and III are correct.

The correct answer is option 2 i.e "International Monetary Fund"

Key Points

• The full form of IMF is given in the very first line of the passage.
• "The International Monetary Fund (IMF) Executive Board approved on September 30 a new, temporary Food Shock Window (FSW) under its emergency financing instruments."

The correct answer is option 3 i.e. "Countries are allowed to monitor the programe if they fulfil  some criteria"

Key Points

• According to the context of the passage option 3 is correct.
• The passage states that,
• "The Executive Board also amended the policy for Staff-Monitored Programs (SMPs), to allow for Program Monitoring with Board involvement (PMB)."
• "Countries considering an SMP would be encouraged to request a PMB if they are the subject of an ongoing concerted international effort by creditors or donors to provide substantial new financing or debt relief, or have significant outstanding Fund credit under emergency financing instruments."

​​Hence, option 3 can be inferred from the passage.

The correct answer is option 4 i,e. "Any country in the world which is suffering from food shortage can avail the assistance"

Key Points

• According to the passage the criteria for availing the financial assistant are:
• "The Food Shock Window will provide, for a period of a year, a new channel for emergency Fund financing to member countries that have an urgent balance of payment needs"
• ​​The country should be a member IMF
• The country must have an urgent balance of payment needs due to:

1. acute food insecurity, or
2. a sharp increase in their food import bill, or
3. a shock to their cereal exports.

Hence, option 4 is incorrect.

The correct answer is option 2 i.e. "The IMF will consider the transactions between the country and rest of the world before giving any financial assistance ."

Key Points

• It is given that "Access will be consistent with the actual balance of payments needs, capped at 50 percent of the quota"
• Short definition of Balance of payment is record of transactions of a country during specific period.
• Hence, "the IMF will consider the transactions between the country and rest of the world before giving any financial assistance" is the correct answer.

Additional Information

• Option 1: "The Financial aid will be provided according to the demand of the countries."
• ​This option is incorrect because it is given that the criteria to decide amount of the assist is the balance of payment.
• Option 3: "The access to the financial assistance will be fix in value even for future"
• ​This option is incorrect because it is given that "The cumulative access limits under the RFI regular window and the RCF exogenous shock window, currently at 150 percent of quota, will be increased to 175 percent of quota for members that will borrow through the FSW."
• ​Option 4: "The Financial assistance program will be a responsibility of the executive board only"
• ​This option is incorrect because it is given that "The Executive Board’s role will be limited to assessing the robustness of the member’s policies to meet the program’s objectives and to monitoring program implementation, including policies aiming to facilitate the transition to an upper credit tranche (UCT) quality IMF-supported program."
• Option 5: "The food stock window will help the affected countries till the supply chain get normalize."
• ​​This option is incorrect because it is given that "The Food Shock Window will provide, for a period of a year, a new channel for emergency Fund financing to member countries that have an urgent balance of payment needs due to acute food insecurity, a sharp increase in their food import bill, or a shock to their cereal exports."

The correct answer is option 3 i.e. "reduce"

Key Points

• Exacerbated:  
• Meaning: To make something more severe.
• Example: The ongoing food shortage has been exacerbated by supply chain disruption.
• Synonyms: Inflame, Intensify, Increase.
• Antonyms: Placate, Soothe, Reduce.
• Reduce: 
• Meaning: To make something less in size or quantity.
• Example: He started exercise to reduce his weight.
• Synonyms: Dwindle, Shrink, Minimize.
• Antonyms: Expand, Prolong, Amplify.

Additional Information

• Intensify:
• Meaning: To make something stronger.
• Example: Refugee crisis intensified tensions between the neighbouring countries.
• Synonyms: Boost, Augment, Escalate.
• Antonyms: Debase, degrade, Depress.
• Amplify: 
• Meaning: To make something larger or greater.
• Example: This device is used to amplify sound.
• Synonyms: Louden, Magnify, Raise.
• Antonyms: Curtail, Lower, Lessen.
• Augment: 
• Meaning: To make something more intense.
• Example: She bought new books to augment her knowledge.
• Synonyms: Strengthen, Enhance, Multiply.
• Antonyms: Reduce, Lower, Degrade.

The correct answer is option 2 i.e. "drive"

Key Points

• Push (in the context of the passage): move something 
• Example: The inflation pushed many families into poverty.
• Synonyms: Send, Drive, Thrust.
• Antonym: Recede, Pull, Repulsion
• Drive (in the context of the passage): to force or push something
• ​Example: The modern infrastructure will drive economic growth.
• Synonyms: Push, Propel, Prompt.
• Antonyms: Deter, restrain, slow.

Additional Information

• increase: rise in amount
• ​Example: Perihelion is responsible for increase in temperature during summer.
• Synonyms: Shoot up, Soar, Surge
• Antonyms: Decline, Reduction, Drop
• insolent: a person who intentionally doesn't show respect.
• Example: Her principal used to call her an insolent girl
• Synonyms: Impolite, Unmannered, Disrespectful
• Antonyms: Civil, well mannered, Modest
• throes: Severe pain or difficult.
• Example: She had a minor accident last week and since then she is in throes.
• Synonyms: Pain, Suffering, Torment.
• Antonyms: Comfort, Healthy, Relief
• sobriquet: Official title or nickname
• Example: Akbar-II gave "Raja" sobriquet to Ram Mohan Roy.
• Synonyms: Title, epithet, Designation.

The total number of male adults in four cities = 2700

⇒ 40p + 30p + 20p + 18p = 2700

⇒ 108p = 2700

⇒ p = 25

The ratio of male to female adults in city B, C and D is 5:3, 5:6 and 9:11 respectively

 

The number of female adults in city A = 450 + 250 = 700

The total number of female adults in city A, B and D together = 700 + 450 + 550 

⇒ 1700

The total number of male adults in four cities = 2700

⇒ 40p + 30p + 20p + 18p = 2700

⇒ 108p = 2700

⇒ p = 25

The ratio of male to female adults in city B, C and D is 5:3, 5:6 and 9:11 respectively

Required % = (120/180) × 100 

⇒ 66.66%

The total number of male adults in four cities = 2700

⇒ 40p + 30p + 20p + 18p = 2700

⇒ 108p = 2700

⇒ p = 25

The ratio of male to female adults in cities B, C, and D is 5:3, 5:6, and 9:11 respectively

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The total number of children in city B and C together = 120 + 132 = 252

Male adults in city C = 500

Required % = (252/500) × 100 

⇒ 50.4%

The total number of male adults in four cities = 2700

⇒ 40p + 30p + 20p + 18p = 2700

⇒ 108p = 2700

⇒ p = 25

The ratio of male to female adults in city B, C and D is 5:3, 5:6 and 9:11 respectively

 

Given that, the ratio of male adults to female adults in city A = 10 : 7

The number of female adults in city A = (1000/10) × 7 = 700

Required ratio = (700 + 450 + 600 + 550) : (1000 + 750)

⇒ 2300 : 1750

⇒ 46:35

The total number of male adults in four cities = 2700

⇒ 40p + 30p + 20p + 18p = 2700

⇒ 108p = 2700

⇒ p = 25

The ratio of male to female adults in city B, C and D is 5:3, 5:6 and 9:11 respectively

<br>

Required % = (Female adults in city B/total number of adults in city D) × 100

⇒ (450/1000) × 100

⇒ 45%

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

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

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

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

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

Since, we need to find out the approximate value,

So, we can write these values to their nearest integers.

Given expression is

19.99% of 119.99 + ∛216.06 – √624.99 = ?

20% of 120 + ∛216 – √625 = ?

⇒ 24 + 6 – 25 = ?

⇒ 30 – 25 = ?

⇒ ? = 5

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

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

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

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

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

(√63.99) × 149.99% – 175.99 ÷ 22.22 = ?

(√64) × 150% – 176 ÷ 22 = ?

⇒ 8 × 1.5 - 8 = ?

⇒ 12 - 8 = ?

⇒ 4 = ?

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

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

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

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

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

(76.87 × 10.99 ÷ 6.97 + 1.99) ÷ ∛26.99 = ?

(77 × 11 ÷ 7 + 2) ÷ ∛27 = ?

⇒ ? = (121 + 2) ÷ 3

⇒ ? = 123/3

⇒ ? = 41

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

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

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

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

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

49.827% of 1119.61 - ?% of 1600.092 = 79.762

⇒ 50% of 1120 - ?% of 1600 = 80

⇒ 560 - 16 × ? = 80

⇒ 560 - 80 = 16 × ?

⇒ 480 = 16 × ?

⇒ ? = 480/16

∴ ? = 30

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

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

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

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

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

Since, we need to find out the approximate value,

So, we can write these values to their nearest integers.

Given expression is

 (34.85)2 - (18.99)2 - (5.01)3 = ?

⇒ ? ≈ (35)2 - (19)2 - (5)3

⇒ ? = 1225 - 361 - 125

⇒ ? = 739

Shortcut Trick

Efficiency ratio A : B = 100 : 125 = 4 : 5. Total work = 4 × 60 = 240 units.

Combined (A+B) work in 15 days = (4 + 5) × 15 = 135 units. Remaining = 240 − 135 = 105 units.

Efficiency of C = 105 ÷ 14 = 7.5 units/day.

Time for B+C to do 5/8^th work = (240 × 5/8) ÷ (5 + 7.5) = 150 ÷ 12.5 = 12 days.

∴ The correct answer is 12 days.

Alternate Method

Given: A completes work in 60 days. B efficiency = 125% of A.

Calculations:

⇒ Total Work = Efficiency of A × Time = 4 × 60 = 240 units.

⇒ Work done by (A + B) in 15 days = (4 + 5) × 15 = 135 units.

⇒ Remaining Work = 240 − 135 = 105 units.

⇒ Efficiency of C = Remaining Work ÷ Time = 105 ÷ 14 = 7.5 units/day.

⇒ 5/8^th of original work = 240 × (5/8) = 150 units.

⇒ Combined efficiency of (B + C) = 5 + 7.5 = 12.5 units/day.

⇒ Required Time = 150 ÷ 12.5 = 12 days.

∴ The correct answer is 12 days.

Additional Information

Efficiency and Time Relationship

Efficiency is inversely proportional to the time taken. If efficiency ratio is x:y, the time ratio is y:x.

Work and Wages

Wages are always distributed in the ratio of the actual work done by individuals or the ratio of their efficiencies if they work for the same duration.

Pipes and Cisterns

Similar to Time and Work, where outlet pipes represent negative efficiency (work being destroyed).

Shortcut Trick

Ratio of Boat Speed (u) to Current Speed (v) = 4 : 3

Downstream Speed (D) = 4 + 3 = 7 units | Upstream Speed (U) = 4 − 3 = 1 unit

Total Time = Distance ÷ D + Distance ÷ U ⇒ 126/7x + 126/1x = 48

18/x + 126/x = 48 ⇒ 144/x = 48 ⇒ x = 3

Speed of boat in still water = 4 × 3 = 12 km/hr

∴ The correct answer is 12 km/hr.

Alternate Method

Given:

Ratio of still water speed (u) and current speed (v) = 4 : 3

Let u = 4x and v = 3x

Formula Used:

Downstream Speed (S_d) = u + v

Upstream Speed (S_u) = u − v

Time = Distance ÷ Speed

Calculations:

⇒ S_d = 4x + 3x = 7x

⇒ S_u = 4x − 3x = x

⇒ Total Time = (126 ÷ 7x) + (126 ÷ x) = 48

⇒ 18/x + 126/x = 48

⇒ 144/x = 48

⇒ x = 144 ÷ 48 = 3

⇒ Speed of boat in still water (u) = 4 × 3 = 12 km/hr

∴ The correct answer is 12 km/hr.

Additional Information

Relative Speed in Water

Downstream speed is the sum of boat speed and stream speed (u + v), while upstream is the difference (u − v).

Finding u and v from D and U

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

Average Speed for Round Trip

Average Speed = (Downstream Speed × Upstream Speed) ÷ Still Water Speed = (u² − v²) ÷ u.

Shortcut Trick

Total Simple Interest for 1 year = 3620 ÷ 2 = ₹1810.

Overall effective interest rate = (1810 ÷ 16500) × 100 = 10.9696%.

Apply Alligation between 10% and 12%: (12 − 10.9696) : (10.9696 − 10) = 1.0304 : 0.9696.

Ratio of investments = 16 : 17 ⇒ 12% part = (16500 × 16) ÷ (16+17) is not clean; try interest deviation: If all at 10%, interest = 1650 ⇒ Difference = 1810 − 1650 = 160.

2% of Scheme B = 160 ⇒ Scheme B = (160 ÷ 2) × 100 = ₹8000.

∴ The correct answer is ₹8000.

Alternate Method

Given: Total Principal = ₹16500, Total Time = 2 years, Rates = 10% and 12%, Total Interest = ₹3620.

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

⇒ Let the amount invested at 12% be ₹x.

⇒ Amount invested at 10% = ₹(16500 − x).

⇒ Total Interest = [x × 12 × 2 / 100] + [(16500 − x) × 10 × 2 / 100]

⇒ 3620 = 0.24x + 0.20(16500 − x)

⇒ 3620 = 0.24x + 3300 − 0.20x

⇒ 3620 − 3300 = 0.04x

⇒ 320 = 0.04x

⇒ x = 320 / 0.04 = 8000

∴ The correct answer is ₹8000.

Additional Information

Simple Interest vs Compound Interest

Simple interest is calculated only on the principal, whereas compound interest is calculated on the principal plus accumulated interest. Difference for 2 years = P(R/100)².

Effective Rate of Interest

The overall rate when two different investments are combined can be found using the weighted average formula: R_avg = (P₁R₁ + P₂R₂) / (P₁ + P₂).

Shortcut Trick

Base of triangle = (2 × Area) ÷ Height = (2 × 168) ÷ 24 = 14 cm.

Given, Breadth of rectangle (b) = Base of triangle = 14 cm.

Length (l) = (Perimeter ÷ 2) − b = (84 ÷ 2) − 14 = 42 − 14 = 28 cm.

∴ The correct answer is 28 cm.

Alternate Method

Given: Height (h) = 24 cm, Area = 168 cm², Perimeter (P) = 84 cm.

Formula Used: Area of triangle = (1/2) × base × height; Perimeter of rectangle = 2(l + b).

⇒ 168 = (1/2) × Base × 24

⇒ 168 = Base × 12

⇒ Base = 168 ÷ 12 = 14 cm

⇒ Breadth (b) of rectangle = 14 cm

⇒ 2(l + 14) = 84

⇒ l + 14 = 42

⇒ l = 42 − 14 = 28 cm

∴ The correct answer is 28 cm.

Additional Information

Area of Rectangle

The total region covered by a rectangle in a 2D plane is calculated as Length × Breadth (l × b).

Right-Angled Triangle Area

If the triangle is right-angled, the area is simply half the product of the two sides containing the right angle.

Semi-perimeter of Rectangle

The sum of length and breadth (l + b) is equal to half of the perimeter (P ÷ 2).

Shortcut Trick

Mixture A (40% of 250L = 100L): Water : Milk = 4 : 1 ⇒ Water = 80L, Milk = 20L.

Mixture B (Total = 60L): Water (25L) is 5 units ⇒ Milk is 7 units (35L). 80% of B = 48L.

Mixture B components in C: Water = 80% of 25 = 20L, Milk = 80% of 35 = 28L.

Mixture C Total: Milk = 20 + 28 = 48L | Water = 80 + 20 = 100L.

Ratio Milk : Water = 48 : 100 = 12 : 25.

∴ The correct answer is 12:25.

Alternate Method

Given: Mixture A = 250L (Water:Milk = 4:1). Mixture B Water = 25L (Water:Milk = 5:7). Mixture C = 40% of A + 80% of B.

Step 1: Components of Mixture A taken

⇒ Quantity of A taken = 40% of 250 = 100L

⇒ Water in A taken = (4/5) × 100 = 80L

⇒ Milk in A taken = (1/5) × 100 = 20L

Step 2: Components of Mixture B taken

⇒ In B, Water = 25L (5 units) ∴ 1 unit = 5L

⇒ Milk in B = 7 units × 5 = 35L. Total B = 60L

⇒ Quantity of B taken = 80% of 60 = 48L

⇒ Water in B taken = 80% of 25 = 20L

⇒ Milk in B taken = 80% of 35 = 28L

Step 3: Ratio in Mixture C

⇒ Total Milk in C = 20 + 28 = 48L

⇒ Total Water in C = 80 + 20 = 100L

⇒ Ratio Milk : Water = 48 : 100 = 12 : 25

∴ The correct answer is 12:25.

Additional Information

Alligation Method

Used to find the ratio in which two ingredients at given prices/concentrations are mixed to produce a mixture of a mean price/concentration.

Replacement Method

When a part of a mixture is replaced by one of the components: Final Concentration = Initial Concentration × (1 − Replacement Volume/Total Volume)ⁿ.

Compound Ratio

When two or more ratios are multiplied together (a/b × c/d), the result is the compound ratio (ac/bd).

I. x² + 18x + 77 = 0

⇒ x² + 7x + 11x + 77 = 0

⇒ x (x + 7) + 11 (x + 7) = 0

⇒ (x + 7) (x + 11) = 0

⇒ x = - 7, - 11

 

II. 4y² + 31y + 21 = 0

⇒ 4y² + 3y + 28y + 21 = 0

⇒ y (4y + 3) + 7 (4y + 3) = 0

⇒ (4y + 3) (y + 7) = 0

⇒ y = -3/4, -7  

 

 

Hence, x ≤ y

I. 2x² – 33x + 136 = 0

⇒ 2x² – 16x – 17x + 136 = 0

⇒ 2x(x – 8) – 17 (x – 8) = 0

⇒ (x – 8) (2x – 17) = 0

⇒ x = 8, 17/2

 

II. 2y² – 37y + 171 = 0

⇒ 2y² – 18y – 19y + 171 = 0

⇒ 2y (y – 9) – 19 (y – 9) = 0

⇒ (y – 9) (2y – 19) = 0,

⇒ y = 9, 19/2

 

Hence x < y

I. 5x² – 38x + 65 = 0

⇒ 5x² – 25x – 13x + 65 = 0

⇒ 5x (x – 5) – 13 (x – 5) = 0

⇒ (x – 5) (5x – 13) = 0

⇒ x = 5, 13/5

 

II. 5y² – 19y - 30 = 0

⇒ 5y² + 6y – 25y – 30 = 0

⇒ y (5y + 6) – 5 (5y + 6) = 0

⇒ (5y + 6) (y – 5) = 0

⇒ y = -6/5, 5

 

 

Hence, relationship between x and y cannot be established.

I. 12x² + 11x + 2 = 0

⇒ 12x² + 3x + 8x + 2 = 0

⇒ 3x (4x + 1) + 2 (4x + 1) = 0

⇒ (4x + 1) (3x + 2) = 0

⇒ x = -1/4, -2/3

 

II. y² + 20y + 99 = 0

⇒ y²  + 11y + 9y + 99 = 0

⇒ y (y + 11) + 9 (y + 11) = 0

⇒ (y + 11) (y + 9) = 0

⇒ y = -11, -9  

 

 

Hence, x > y

I. 2x² – 19x + 24 = 0

⇒ 2x² – 3x – 16x + 24 = 0

⇒ x (2x – 3) – 8(2x – 3) = 0

⇒ (2x – 3) (x – 8) = 0

⇒ x = 3/2, 8

 

II. y² – 25y + 144 = 0

⇒ y² – 9y – 16y + 144 = 0

⇒ y (y – 9) – 16 (y – 9) = 0

⇒ (y – 9) (y – 16) = 0

⇒ y = 9, 16  

 

 

Hence, x < y

Putting all the values in a table we get

 

Average number of 'Q' type of 'quantities' displaced by warehouses 'B', 'C', and 'D' = (350 + 250 + 450)/3 = 350

Hence, the correct answer is 350.

Putting all the values in a table we get

 

The total cost beared by all four warehouses from selling all 'P' type of quantities = 275 × 1350 = 371250 Rs.

Hence, the correct answer is 371250 Rs.

Putting all the values in a table we get

 

The number of 'Q' type of displaced 'quantities' for warehouse 'E' = (13/8) × 400 = 650

The number of 'P' type of displaced 'quantities' for warehouse 'E' = 650 + 250 = 900

Total number of quantities displaced by warehouse 'E' = 650 + 900 = 1550

Hence, the correct answer is 1550.

Putting all the values in a table we get

 

The total number of 'P' type of quantities displaced by warehouses 'A', 'C', and 'D' = (350 + 400 + 350) = 1100

Required percentage = (1100/2800) × 100 = 39.28 ~ 39%

Hence, the correct answer is 39%.

Putting all the values in a table we get

 

The total number of quantities that are accepted and not returned back to all four warehouses = (4/7) × 2800 = 1600

Hence, the correct answer is 1600.

Shortcut Trick

Ratio of A : B is 7 : 8 (Present) and 8 : 9 (After 6 years).

Change in ratio units for both is 8 − 7 = 1 unit and 9 − 8 = 1 unit.

Since the time gap is 6 years, 1 unit → 6 years.

A's present age = 7 units × 6 = 42 years.

C's present age = 42 + 10 = 52 years.

∴ The correct answer is 52 years.

Alternate Method

Given: Present age ratio A : B = 7 : 8. After 6 years, ratio A : B = 8 : 9. C = A + 10.

Calculation:

⇒ Let present ages of A and B be 7x and 8x.

⇒ (7x + 6) ÷ (8x + 6) = 8 ÷ 9

⇒ 9 × (7x + 6) = 8 × (8x + 6)

⇒ 63x + 54 = 64x + 48

⇒ 64x − 63x = 54 − 48

⇒ x = 6

⇒ A's present age = 7 × 6 = 42 years

⇒ C's present age = 42 + 10 = 52 years

∴ The correct answer is 52 years.

Additional Information

Age Difference Property

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

Ratio Balancing Method

If the difference in ratio parts is not equal, multiply the ratios by the difference of the other ratio to balance them before solving.

Linear Equation in Ages

For any 'n' years after/before, add/subtract 'n' to the current age variables to form the equation: (Ax + n) / (Bx + n) = New Ratio.

Shortcut Trick

Let the Initial Amount be X.

Total percentage given to Son and Wife = 50% + 30% = 80%. Remaining = 20%.

Donation to trust = 62.5% of 20% = 5/8 × 20% = 12.5%. Final remaining = 20% − 12.5% = 7.5%.

7.5% of X = 15,000 ⇒ (3/40) × X = 15,000 ⇒ X = 2,00,000.

∴ The correct answer is ₹2,00,000.

Alternate Method

Given: Son = 50%, Wife = 30%, Trust = 62.5% of remaining, Left = ₹15,000.

Calculations:

⇒ Let total money = 100 units

⇒ Spent on Son and Wife = 50 + 30 = 80 units

⇒ Remaining money = 100 − 80 = 20 units

⇒ Donation to trust = 62.5% of 20 = (5/8) × 20 = 12.5 units

⇒ Final remaining amount = 20 − 12.5 = 7.5 units

⇒ 7.5 units = 15,000

⇒ 1 unit = 15,000 ÷ 7.5 = 2,000

⇒ Total money (100 units) = 100 × 2,000 = 2,00,000

∴ The correct answer is ₹2,00,000.

Additional Information

Percentage to Fraction Conversion

62.5% can be written as 5/8 and 12.5% as 1/8 to speed up calculations in competitive exams.

Successive Percentage Remainder

When spending from the 'remaining' amount, multiply the initial value by the remaining fractions: Final = Initial × (1 − r₁) × (1 − r₂).

Shortcut Trick

Profit ratio is the product of Capital and Time ratios.

Capital ratio (Akshay : Bikash) = 24,000 : 18,000 = 4 : 3.

Time ratio = Profit ratio ÷ Capital ratio.

Time ratio = (16 ÷ 4) : (7 ÷ 3) = 4 : (7/3) = 12 : 7.

Since Akshay invested for 12 months, Bikash invested for 7 months.

Bikash joined after = 12 − 7 = 5 months.

∴ The correct answer is 5 months.

Alternate Method

Given → Akshay Capital = Rs. 24,000, Bikash Capital = Rs. 18,000, Akshay Time = 12 months, Profit Ratio = 16 : 7. Formulas: Profit Ratio = (C₁ × T₁) : (C₂ × T₂).

⇒ Let Bikash invested for t months. ⇒ (24,000 × 12) ÷ (18,000 × t) = 16 ÷ 7. ⇒ (4 × 12) ÷ (3 × t) = 16 ÷ 7. ⇒ 48 ÷ 3t = 16 ÷ 7. ⇒ 16 ÷ t = 16 ÷ 7. ⇒ t = 7 months. ⇒ Bikash joined after = 12 − 7 = 5 months.

∴ The correct answer is 5 months.

Additional Information

Partnership Basics

In a partnership, the profit is distributed among partners in the ratio of their investment multiplied by the duration of investment.

Joining vs Duration

If a person joins after 'x' months in a one-year business, the investment duration is (12 − x) months.

Shortcut Trick

Efficiency of Pipe A = 15, Pipe B = 12, Pipe C = −10 (Total Work 180).

Water filled in 5 hours by (A + B) = (15 + 12) × 5 = 135 units.

Time taken by Pipe C to empty this water = 135 ÷ 10 = 13.5 hours.

∴ The correct answer is 13.5 hr.

Alternate Method

Given: Filling time of Pipe 1 = 12 hr, Pipe 2 = 15 hr. Emptying time of Pipe 3 = 18 hr.

Formula Used: Efficiency = Total Work ÷ Time

⇒ Combined efficiency of first two pipes = 15 + 12 = 27 units/hr.

⇒ Work done in 5 hours = 27 × 5 = 135 units.

⇒ Time taken by third pipe to empty = 135 ÷ 10 = 13.5 hours.

∴ The correct answer is 13.5 hr.

Additional Information

Negative Efficiency

In Pipes and Cisterns, an outlet or leak is represented by negative efficiency as it reduces the total volume of water.

LCM Method for Total Work

Taking the Least Common Multiple of individual times as the total capacity of the tank simplifies calculations to integers.

Emptying the Filled Part

If a tank is partially filled and then only the outlet pipe is opened, the time taken is calculated based on the current volume of water, not the full capacity.

Shortcut Trick

Let the usual speed be S. Distance (D) = 400 km. Speed increase (x) = 10 km/h. Time difference (t) = 2 hours.

Using the formula: Distance = [S × (S + x) / x] × t

⇒ 400 = [S × (S + 10) / 10] × 2

⇒ 2000 = S(S + 10). By observation, S = 40 km/h (as 40 × 50 = 2000).

⇒ Usual Time = Distance ÷ Usual Speed = 400 ÷ 40 = 10 hours.

∴ The correct answer is 10 hours.

Alternate Method

Given: Total Distance = 400 km, Speed difference = 10 km/h, Time difference = 2 hours.

Formula Used: Time = Distance / Speed

⇒ Let usual speed be x km/h.

⇒ 400/x − 400/(x + 10) = 2

⇒ 400 [(x + 10 − x) / (x(x + 10))] = 2

⇒ 400 [10 / (x² + 10x)] = 2

⇒ 4000 = 2(x² + 10x)

⇒ x² + 10x − 2000 = 0

⇒ x² + 50x − 40x − 2000 = 0 ⇒ (x + 50)(x − 40) = 0

⇒ x = 40 km/h (Speed cannot be negative).

⇒ Usual Time = 400 / 40 = 10 hours.

∴ The correct answer is 10 hours.

Additional Information

Speed-Time Relation

For a constant distance, speed is inversely proportional to time (S ∝ 1/T). If speed increases, time decreases.

General Distance Formula

Distance = [Product of Speeds / Difference of Speeds] × Time Difference. This is useful for all 'late/early' or speed-change problems.

Average Speed

When a journey is split into two equal distances with speeds V₁ and V₂, Average Speed = 2V₁V₂ / (V₁ + V₂).

The number of people who prefer to listen only 'Jazz' = 6 × 35 - 5 = 205

Let the total number of people who prefer to listen only 'Jazz' = 41x

ATQ, 41x = 205

⇒ x = 5

The total number of people who prefer to listen only 'folk' = 56x = 280

The total number of people who prefer to listen only 'Rock' = 79x = 395

Let the total number of people who prefer to listen all three genres = 4y

The number of people who prefer to listen both 'Folk' and 'Jazz' but not 'Rock' = 75% × 4y = 3y

The number of people who prefer to listen both 'Rock' and 'Jazz' but not 'Folk' = 50

The number of people who prefer to listen both 'Folk' and 'Rock' but not 'Jazz' = 35

The total number of people who prefer to listen exactly two type of 'music' genres = 130

ATQ, 3y + 50 + 35 = 130 ⇒ y = 15

The total number of people who prefer to listen all three genres = 4y = 60

The number of people who prefer to listen both 'Folk' and 'Jazz' but not 'Rock' = 3y = 45

The number of people who prefer to listen 'Folk' = 280 + 35 + 60 + 45 = 420

The number of people who prefer to listen 'Rock' = 395 + 35 + 60 + 50 = 540

The number of people who prefer to listen 'Jazz' = 205 + 45 + 60 + 50 = 360

The number of people who prefer to listen all three types of 'music' genres = 60

Hence, the correct answer is 60.

The number of people who prefer to listen only 'Jazz' = 6 × 35 - 5 = 205

Let the total number of people who prefer to listen only 'Jazz' = 41x

ATQ, 41x = 205

⇒ x = 5

The total number of people who prefer to listen only 'folk' = 56x = 280

The total number of people who prefer to listen only 'Rock' = 79x = 395

Let the total number of people who prefer to listen all three genres = 4y

The number of people who prefer to listen both 'Folk' and 'Jazz' but not 'Rock' = 75% × 4y = 3y

The number of people who prefer to listen both 'Rock' and 'Jazz' but not 'Folk' = 50

The number of people who prefer to listen both 'Folk' and 'Rock' but not 'Jazz' = 35

The total number of people who prefer to listen exactly two type of 'music' genres = 130

ATQ, 3y + 50 + 35 = 130

⇒ y = 15

The total number of people who prefer to listen all three genres = 4y = 60

The number of people who prefer to listen both 'Folk' and 'Jazz' but not 'Rock' = 3y = 45

The number of people who prefer to listen 'Folk' = 280 + 35 + 60 + 45 = 420

The number of people who prefer to listen 'Rock' = 395 + 35 + 60 + 50 = 540

The number of people who prefer to listen 'Jazz' = 205 + 45 + 60 + 50 = 360

The total number of people who prefer to listen to only 'Folk' and to only 'Rock' = 280 + 395 = 675

Hence, the correct answer is 675.

The number of people who prefer to listen only 'Jazz' = 6 × 35 - 5 = 205

Let the total number of people who prefer to listen only 'Jazz' = 41x

ATQ, 41x = 205

⇒ x = 5

The total number of people who prefer to listen only 'folk' = 56x = 280

The total number of people who prefer to listen only 'Rock' = 79x = 395

Let the total number of people who prefer to listen all three genres = 4y

The number of people who prefer to listen both 'Folk' and 'Jazz' but not 'Rock' = 75% × 4y = 3y

The number of people who prefer to listen both 'Rock' and 'Jazz' but not 'Folk' = 50

The number of people who prefer to listen both 'Folk' and 'Rock' but not 'Jazz' = 35

The total number of people who prefer to listen exactly two type of 'music' genres = 130

ATQ, 3y + 50 + 35 = 130

⇒ y = 15

The total number of people who prefer to listen all three genres = 4y = 60

The number of people who prefer to listen both 'Folk' and 'Jazz' but not 'Rock' = 3y = 45

The number of people who prefer to listen 'Folk' = 280 + 35 + 60 + 45 = 420

The number of people who prefer to listen 'Rock' = 395 + 35 + 60 + 50 = 540

The number of people who prefer to listen 'Jazz' = 205 + 45 + 60 + 50 = 360

The number of people who prefer to listen exactly one type of 'music' genre = 280 + 395 + 205 = 880

The number of people who prefer to listen exactly two types of 'music' genres = 50 + 35 + 45 = 130

Required difference = 880 - 130 = 750

Hence, the correct answer is 750.

The number of people who prefer to listen only 'Jazz' = 6 × 35 - 5 = 205

Let the total number of people who prefer to listen only 'Jazz' = 41x

ATQ, 41x = 205

⇒ x = 5

The total number of people who prefer to listen only 'folk' = 56x = 280

The total number of people who prefer to listen only 'Rock' = 79x = 395

Let the total number of people who prefer to listen all three genres = 4y

The number of people who prefer to listen both 'Folk' and 'Jazz' but not 'Rock' = 75% × 4y = 3y

The number of people who prefer to listen both 'Rock' and 'Jazz' but not 'Folk' = 50

The number of people who prefer to listen both 'Folk' and 'Rock' but not 'Jazz' = 35

The total number of people who prefer to listen exactly two type of 'music' genres = 130

ATQ, 3y + 50 + 35 = 130

⇒ y = 15

The total number of people who prefer to listen all three genres = 4y = 60

The number of people who prefer to listen both 'Folk' and 'Jazz' but not 'Rock' = 3y = 45

The number of people who prefer to listen 'Folk' = 280 + 35 + 60 + 45 = 420

The number of people who prefer to listen 'Rock' = 395 + 35 + 60 + 50 = 540

The number of people who prefer to listen 'Jazz' = 205 + 45 + 60 + 50 = 360

The total number of people who prefer to listen 'Rock' = 540

Hence, the correct answer is 540.

The number of people who prefer to listen only 'Jazz' = 6 × 35 - 5 = 205

Let the total number of people who prefer to listen only 'Jazz' = 41x

ATQ, 41x = 205

⇒ x = 5

The total number of people who prefer to listen only 'folk' = 56x = 280

The total number of people who prefer to listen only 'Rock' = 79x = 395

Let the total number of people who prefer to listen all three genres = 4y

The number of people who prefer to listen both 'Folk' and 'Jazz' but not 'Rock' = 75% × 4y = 3y

The number of people who prefer to listen both 'Rock' and 'Jazz' but not 'Folk' = 50

The number of people who prefer to listen both 'Folk' and 'Rock' but not 'Jazz' = 35

The total number of people who prefer to listen exactly two type of 'music' genres = 130

ATQ, 3y + 50 + 35 = 130

⇒ y = 15

The total number of people who prefer to listen all three genres = 4y = 60

The number of people who prefer to listen both 'Folk' and 'Jazz' but not 'Rock' = 3y = 45

The number of people who prefer to listen 'Folk' = 280 + 35 + 60 + 45 = 420

The number of people who prefer to listen 'Rock' = 395 + 35 + 60 + 50 = 540

The number of people who prefer to listen 'Jazz' = 205 + 45 + 60 + 50 = 360

Ratio between the number of people who prefer to listen 'Folk' and to 'Jazz' = 420 : 360 = 7 : 6

Hence, the correct answer is 7 : 6.

Given that:

There are seven persons, who were born in different years - 1961, 1968, 1972, 1988, 1993, 1999, and 2013. All the age calculations are done taking the base year as 2020.

So, their ages are:

 

1) D was born in a leap year but not in the year 1988.

So, here there are 3 leap years - 1968, 1972 and 1988 (all are divisible by 4)

So, 2 cases will generate D can born either in 1968 or 1972:

 

2) Only three persons were born between D and F.

3. C is the eldest person among them all.

So, C was born in 1961:

 

4) The difference between the ages of G and D is 4 years.

 

 

5) B was born in an odd-numbered year but not in 1993 nor he was the last one to be born.

Here, B was born in 1999, neither in 1993 nor in 2013 (at last).

6. The sum of the ages of A and F is a multiple of 13.

Here, age is 32 + 7 = 39 (39 is a multiple of 13).

So in there 2 statements Case I will be eliminate:

Here we have case II:

 

E was born in the year 1993.

Given that:

There are seven persons, who were born in different years - 1961, 1968, 1972, 1988, 1993, 1999, and 2013. All the age calculations are done taking the base year as 2020.

So, their ages are:

 

1) D was born in a leap year but not in the year 1988.

So, here there are 3 leap years - 1968, 1972 and 1988 (all are divisible by 4)

So, 2 cases will generate D can born either in 1968 or 1972:

 

2) Only three persons were born between D and F. 

3. C is the eldest person among them all.

So, C was born in 1961:

 

4) The difference between the ages of G and D is 4 years.

 

 

5) B was born in an odd-numbered year but not in 1993 nor he was the last one to be born.

Here, B was born in 1999, neither in 1993 nor in 2013 (at last).

6. The sum of the ages of A and F is a multiple of 13.

Here, age is 32 + 7 = 39 (39 is a multiple of 13).

So in there 2 statements Case I will be eliminate:

Here we have case II:

 

The sum of the ages of C and B is → 59 + 21 = 80 years.

Given that:

There are seven persons, who were born in different years - 1961, 1968, 1972, 1988, 1993, 1999, and 2013. All the age calculations are done taking the base year as 2020.

So, their ages are:

 

1) D was born in a leap year but not in the year 1988.

So, here there are 3 leap years - 1968, 1972 and 1988 (all are divisible by 4)

So, 2 cases will generate D can born either in 1968 or 1972:

 

2) Only three persons were born between D and F. 

3. C is the eldest person among them all.

So, C was born in 1961:

 

4) The difference between the ages of G and D is 4 years.

 

 

5) B was born in an odd-numbered year but not in 1993 nor he was the last one to be born.

Here, B was born in 1999, neither in 1993 nor in 2013 (at last).

6. The sum of the ages of A and F is a multiple of 13.

Here, age is 32 + 7 = 39 (39 is a multiple of 13).

So in there 2 statements Case I will be eliminate:

Here we have case II:

 

No one is born between G and D, so none.

Given that:

There are seven persons, who were born in different years - 1961, 1968, 1972, 1988, 1993, 1999, and 2013. All the age calculations are done taking the base year as 2020.

So, their ages are:

 

1) D was born in a leap year but not in the year 1988.

So, here there are 3 leap years - 1968, 1972 and 1988 (all are divisible by 4)

So, 2 cases will generate D can born either in 1968 or 1972:

 

2) Only three persons were born between D and F. 

3. C is the eldest person among them all.

So, C was born in 1961:

 

4) The difference between the ages of G and D is 4 years.

 

 

5) B was born in an odd-numbered year but not in 1993 nor he was the last one to be born.

Here, B was born in 1999, neither in 1993 nor in 2013 (at last).

6. The sum of the ages of A and F is a multiple of 13.

Here, age is 32 + 7 = 39 (39 is a multiple of 13).

So in there 2 statements Case I will be eliminate:

Here we have case II:

 

G does not belong to the group as G was born in the even - numbered years.

Given that:

There are seven persons, who were born in different years - 1961, 1968, 1972, 1988, 1993, 1999, and 2013. All the age calculations are done taking the base year as 2020.

So, their ages are:

 

1) D was born in a leap year but not in the year 1988.

So, here there are 3 leap years - 1968, 1972 and 1988 (all are divisible by 4)

So, 2 cases will generate D can born either in 1968 or 1972:

 

2) Only three persons were born between D and F. 

3. C is the eldest person among them all.

So, C was born in 1961:

 

4) The difference between the ages of G and D is 4 years.

 

 

5) B was born in an odd-numbered year but not in 1993 nor he was the last one to be born.

Here, B was born in 1999, neither in 1993 nor in 2013 (at last).

6. The sum of the ages of A and F is a multiple of 13.

Here, age is 32 + 7 = 39 (39 is a multiple of 13).

So in there 2 statements Case I will be eliminate:

Here we have case II:

 

B was born in 1999.

Given Statements : F = S ≥ G < V, Q > P ≥ X, F ≥ X, V ≤ M

On combining :  Q > P ≥  X ≤ F = S ≥ G < V ≤ M

I. M > G → True ( As M ≥ V > G is definitely true, Hence M > G is true )

II. S < Q → False ( As Q > P ≥  X ≤ F = S, So there is no direct relation between S and Q, Hence S < Q will be false.)

Hence, Only conclusion I follow.

Given statements : P > Q < R, R = S ≥ T, T ≤  U > V

On combining : P > Q < R = S ≥ T ≤ U > V

(I) S > P → False (as S = R > Q < P there is no direct relation given between the two, it might be a possibility but not definitely true, Hence false )

(II) U > R → False (as U ≥ T ≤ S = R there is no direct relation given between the two, it might be a possibility but not definitely true, Hence false ).

Hence, Neither I nor  II follows.

Given statements:  T > N < V = L ≤ W < K, V = H > I > F

On combining:   T > N < V = L ≤ W < K,  T > N < V = H > I > F

I. V > F → True ( As V = H > I > F so V > F is true )

II. T > H → False ( As T > N < V = H > I > F no direct relation is given between the two, so it is possibility but not definitely true Hence T > H is false)

Only I follow.

Persons: A, B, C, E, F, G, H, K and M.

1. At least six persons buy books after H. 2. Two persons buy books between H and C. 

3. M buys book immediately after F and immediately before E. 4. Not more than two persons buy books between C and E.

5. A buys book before G and after H. 6. G is not the last one to buy book.

7. Less than three persons buy books between G and B. 8. B buy book before G but not at the first. 9. So Case 2, 3, 4 and 5  is eliminated.

The final arrangement is,

Hence**, M is the second last person to buy a book.**

Persons: A, B, C, E, F, G, H, K and M.

1. At least six persons buy books after H. 2. Two persons buy books between H and C. 

3. M buys book immediately after F and immediately before E. 4. Not more than two persons buy books between C and E.

5. A buys book before G and after H. 6. G is not the last one to buy book.

7. Less than three persons buy books between G and B. 8. B buy book before G but not at the first. 9. So Case 2, 3, 4 and 5  is eliminated.

The final arrangement is,

Hence, six persons buy books between B and E.

Persons: A, B, C, E, F, G, H, K and M.

1. At least six persons buy books after H. 2. Two persons buy books between H and C. 

3. M buys book immediately after F and immediately before E. 4. Not more than two persons buy books between C and E.

5. A buys book before G and after H. 6. G is not the last one to buy book.

7. Less than three persons buy books between G and B. 8. B buy book before G but not at the first. 9. So Case 2, 3, 4 and 5  is eliminated.

The final arrangement is,

Hence, K is the first person to buy a book.

Persons: A, B, C, E, F, G, H, K and M.

1. At least six persons buy books after H. 2. Two persons buy books between H and C. 

3. M buys book immediately after F and immediately before E. 4. Not more than two persons buy books between C and E.

5. A buys book before G and after H. 6. G is not the last one to buy book.

7. Less than three persons buy books between G and B. 8. B buy book before G but not at the first. 9. So Case 2, 3, 4 and 5  is eliminated.

The final arrangement is,

If F and K interchange their position

Hence, if F and K interchange their position, seven persons buy books between F and E.