IBPS Clerk Prelims 3 Sept 2022 Memory Based Paper (Shift 1) (Previous Year Paper)

The correct answer is 'San Francisco'.

Key Points

• The first two lines of the second paragraph say, 'We got to the airport and we were told at one check-in desk that we had to board the flight from the opposite side of the airport. Not only did we have to run through the San Francisco Airport with our 40-pound hiking packs, but we also had to run through security because we were going to miss our boarding time'.
• From the above sentence, we can say that the couple was boarding their flight from San Francisco.

 

Hence, the correct answer is option 2.

The correct answer is 'three hours.

Key Points

• The second last sentence of the last paragraph says, 'By the time we landed in San Francisco, we were mentally exhausted. We left the airport at 3 a.m. and made the three-hour drive back home'.
• From the above sentence, we can say that the couple's drive back home from the airport was three hours long.

 

Hence, the correct answer is option 4.

The correct answer is 'Los Angeles International Airport (LAX)'.

Key Points

• The second sentence third paragraph says, 'During our layover to take off from LAX to Fiji, someone had a heart attack, and the flight attendants were frantically looking for a doctor'.
• From the above sentence, we can say that the couple had a layover en route to Fiji at Los Angeles International Airport (LAX).

 

Hence, the correct answer is option 4.

The correct answer is 'baggage'.

Key Points

• The second sentence third paragraph says, 'The airline lost half of our baggage, and we were forced to make the trip without it'.
• From the above sentence, we can say that the couple was forced to make a trip without their baggage.

 

Hence, the correct answer is option 1.

The correct answer is 'four hours'.

Key Points

• The last sentence first paragraph says, 'The hotel was a four-hour drive from the airport, and we were unsure if we would even be accommodated'.
• From the above sentence, we can say that it took four hours to reach the couple's hotel from the airport.

Hence, the correct answer is option 3.

The correct answer is 'Both B and C'.

Key Points

• The second sentence of the first paragraph says, 'Being explorers we were most excited to see their second-largest island, Vanua Levu.', so Sentence A is incorrect.
• The second sentence of the second paragraph says, 'Not only did we have to run through the San Francisco Airport with our 40-pound hiking packs, but we also had to run through security because we were going to miss our boarding time.', so Sentence B is correct.
• The last sentence of the third paragraph says, 'Luckily there was one on board, and the person made it off in time. Now two hours delayed, we made the 11-hour flight to Fiji.', so Sentence C is also correct.

 

Hence, the correct answer is option 5.

The correct answer is 'calm'.

Key Points

• The word 'frantic' means distraught with fear, anxiety, or other emotion.
• Example: Her parents were frantic with worry when their call couldn't get through and her whereabouts were unknown.
• Let's look at the meanings of the given options:
• Agitated- feeling or appearing troubled or nervous.
• Example: The loud voices of my neighbours fighting agitates me.
• Distraught- very worried and upset.
• Example: The citizens were distraught with the damage the floods had caused.
• Furious- full of anger or energy; violent or intense.
• Example: The principal was furious with the students for bursting crackers in the bathroom.
• Calm- not showing or feeling nervousness, anger, or other strong emotions.
• Example: Meditating early morning has helped him calm his temper.
• Weird- suggesting something supernatural; unearthly.
• Example: I saw a weird-shaped aircraft over my fields yesterday.

Hence the only possible answer is option 4.

 

Additional Information 

• • The synonyms of the word 'calm' are "peaceful, quiet, serene".
• • The antonyms of the word 'calm' are  "anger, restless, turbulent".

The correct answer is 'Rush'.

Key Points

• The word 'scramble' means to move with urgency or panic​.
• Example: The family scrambled out of the house when the fire broke out.
• Let's look at the meanings of the given options:
• Retreat-  an act of moving back or withdrawing.
• Example: The army retreated to their base camp.
• Rush- move with urgent haste.
• Example: The parents rushed to the school when they got a call that their child was injured.
• Depart- leave, especially in order to start a journey.
• Example: We departed early for the hill station to reach by lunchtime.
• Escape- an act of breaking free from confinement or control.
• Example: The convict escaped the confinement he was put in.
• Evacuate- remove (someone) from a place of danger to a safer place.
• Example: The government took extreme measures to evacuate the families stuck in the flood-stricken areas.

Hence the only possible answer is option 2.

 

Additional Information 

• • The synonyms of the word 'scramble' are "push, run, hasten".
• • The antonyms of the word 'scramble' are  "rest, stay, stop".

The correct answer is 'Both B and C'.

Key Points

• The word 'pore' can be defined as both a verb and a noun.
• As a noun, a pore refers to a very small opening in the skin.
• ​Example: I have oily pores on my face.
• When pore is a verb, it means to study or look at something very intently.
• ​Example: I pored over all of my textbooks while studying last night.
• Thus, understanding the meaning of the word 'pore' we can say that both sentence B and C are correct.
• Hence, the correct answer is option 5.

Additional Information

• In sentence A, the correct word to be used will be 'pour', instead of 'pore'.
• The word 'pour' means to move something (especially a liquid) in a steady stream.
• ​Example: Water was pouring off of the roof.
• The word 'pour' also means to rain heavily.
• ​Example: It was pouring yesterday when I came home.

The erroneous part is 'prize'

Key Points

• In part B of the sentence, the usage of 'prize' is incorrect instead, use 'price'
• Prize is a noun that means a thing given as a reward to a winner or in recognition of an outstanding achievement on the other hand 'price' is a noun that means the amount of money expected or required.
• Hence, according to the meaning and context of the sentence, we need to use 'price'

So the correct sentence is- Providing fresh hopes to ginger farmers in South India, the price of ginger rhizomes has been spiralling on account of scant supply and huge demand.

The correct answer is 'A.'

Key Points

• Let us explore the options:-
• 'Stratagic': There is no such word in English or we can say that there is some spelling mistake in this word.
• ​The correct spelling is 'Strategic' means Relating to the identification of long-term or overall aims and interests and the means of achieving them.
• 'Initiated' means To start something.
• 'Structured' means To arrange something in an organized way.
• 'Institutional' means Expressed through or organized in the form of institutions.
• 'Arrangements' means The action, process, or result of arranging or being arranged.

Hence, the correct answer is option 1.

Correct Sentence: The strategic dimensions of Indo-Vietnamese relations, initiated during the 1980s, began unfolding in the form of structured and institutional arrangements during the 1990s.

Additional Information

• The synonyms of the word 'Strategic' are "Planned, Calculated, Deliberate".
• Example of 'Strategic' in a sentence:
• The army moved for strategic reasons.

The correct answer is 'B.'

Key Points

• Let us explore the options:-
• 'Hispanics' means Spanish-speaking people, especially of Latin American descent, living in the US.
• 'Movemant': There is no such word in English or we can say that there is some spelling mistake in this word.
• The correct spelling is 'Movement' means A group of people working together to advance their shared political, social, or artistic ideas.
• 'Issue' means An important topic or problem for debate or discussion.
• 'Immigration' means The action of coming to live permanently in a foreign country.
• 'Disappointment' means Sadness or displeasure caused by the non-fulfillment of one's hopes or expectations.

Hence, the correct answer is option 2.

Correct Sentence: The Hispanics had hoped for solid movement on the all-important issue of immigration which has turned out to be a huge disappointment.

Additional Information

• The synonyms of the word 'Movement' are "Faction, Organization, Grouping".
• Example of 'Movement' in a sentence:
• He was the virtual leader of the movement.

The correct answer is 'B.'

Key Points

• Let us explore the options:-
• 'Matured' means To become fully grown or developed.
• 'Partnarship': There is no such word in English or we can say that there is some spelling mistake in this word.
• The correct spelling is 'Partnership' means An association of two or more people as partners.
• 'Security' means The state of being free from danger or threat.
• 'Platform' means The declared policy of a political party or group.
• 'Forum' means A meeting or medium where ideas and views on a particular issue can be exchanged.

Hence, the correct answer is option 2.

Correct Sentence: By the end of 1995, this had matured into a full-dialogue partnership and in 1996, India joined the security dialogue platform, the ASEAN Regional Forum.

Additional Information

• The synonyms of the word 'Partnership' are "Cooperation, Association, Collaboration".
• Example of 'Partnership' in a sentence:
• Mutual respect is necessary for any partnership to work.

The correct answer is 'E.'

Key Points

• Let us explore the options:-
• 'Priority' means The fact or condition of being regarded or treated as more important than others.
• 'Massive' means Exceptionally large.
• 'Infrastructure' means The basic systems and services that are necessary for a country or an organization.
• 'Disrupts' means To interrupt an event, activity, or process by causing a disturbance or problem.
• 'Desparately': There is no such word in English or we can say that there is some spelling mistake in this word.
• ​The correct spelling is 'Desperately' means In a way that emphasizes the extreme degree of something.

Hence, the correct answer is option 5.

Correct Sentence: Its priority programs include building massive physical infrastructure that only disrupts the natural infrastructure we desperately need to protect.

Additional Information

• The synonyms of the word 'Desperately' are "Seriously, Gravely, Severely".
• Example of 'Desperately' in a sentence:
• The doctors tried desperately to save her life.

The correct answer is 'different'.

Key Points

• The given sentence is talking about different components of the acting world, one of which being the types of actors and the passage goes on to tell the types of actors.
• Therefore, the most appropriate word to be filled in the blank is 'different'.
• The word 'different' means not the same as another or each other; unlike in nature, form, or quality.
• Example: The brothers were brought up together but had entirely different personalities.

Hence, the correct answer is Option 4.

 

Additional Information

• Let us explore the other options:
• Ordinary: with no special or distinctive features; normal.
• Usual: habitually or typically occurring or done; customary.
• Conventional: based on or in accordance with what is generally done or believed.
• Generic: characteristic of or relating to a class or group of things; not specific.

The correct answer is 'versatile'.

Key Points

• The given sentence is talking about different types of actors one who may be known to stick to a role that’s similar to all his other previous roles or the other who may be doing different roles.
• Therefore, the most appropriate word to be filled in the blank is 'versatile'.
• The word 'versatile' means being able to adapt or be adapted to many different functions or activities.
• Example: The boat he brought had versatile technology.

Hence, the correct answer is Option 5.

 

Additional Information

• Let us explore the other options:
• Inept: having or showing no skill; clumsy.
• Absurd: wildly unreasonable, illogical, or inappropriate.
• Dull: lacking interest or excitement.
• Limited: restricted in size, amount, or extent; few, small, or short.

The correct answer is 'enhance'.

Key Points

• The given sentence is talking about the way a director incorporates the actor and his skills to improve the quality of the movie he is directing.
• Therefore, the most appropriate word to be filled in the blank is 'enhance'.
• The word 'enhance' means to intensify, increase, or further improve the quality, value, or extent of.
• Example: He wanted to enhance their financial status by marrying into a rich family.

Hence, the correct answer is Option 1.

 

Additional Information

• Let us explore the other options:
• Undermine: lessen the effectiveness, power, or ability of, especially gradually or insidiously.
• Denounce: publicly declare to be wrong or evil.
• Revile: criticize in an abusive or angrily insulting manner.
• Debase: reduced in quality or value.

The correct answer is 'personality'.

Key Points

• The given sentence is talking about the way a director incorporates the actor and his skills to improve the quality of the movie he is directing.
• Therefore, the most appropriate word to be filled in the blank is 'personality'.
• The word 'personality' means individual differences in characteristic patterns of thinking, feeling and behaving.
• Example: He is liked by all as he has a warm and friendly personality.

Hence, the correct answer is Option 2.

 

Additional Information

• Let us explore the other options:
• Temper: a person's state of mind seen in terms of their being angry or calm.
• Emotion: a strong feeling deriving from one's circumstances, mood, or relationships with others.
• Aura: the distinctive atmosphere or quality that seems to surround and be generated by a person, thing, or place.
• Quality: a distinctive attribute or characteristic possessed by someone or something.

The correct answer is 'research'.

Key Points

• The given sentence is talking about one of the types of actors i.e the character actors who study their movie character and mould their acting according to the character required.
• Therefore, the most appropriate word to be filled in the blank is 'research'.
• The word 'research' means the systematic investigation into and study of materials and sources in order to establish facts and reach new conclusions.
• Example: She gave her heart nad soul to the research for her PhD.

Hence, the correct answer is Option 3.

 

Additional Information

• Let us explore the other options:
• Ignore: refuse to take notice of or acknowledge; disregard intentionally.
• Neglect: the state of being uncared for.
• Investigate: carry out a systematic or formal inquiry to discover and examine the facts of (an incident, allegation, etc.) so as to establish the truth.
• Condemn: express complete disapproval of; censure.

The correct answer is 'unrelated'.

Key Points

• The given sentence is talking about a type of actor known as chameleon actors, for they change their opinions or behaviour according to the situation, and the sentence goes on to say that the works of the actors are different and not related to their previous works.
• Therefore, the most appropriate word to be filled in the blank is 'unrelated'.
• The word 'unrelated' means not related or linked.
• Example: Even though she belonged to a business class family her passions were completely unrelated.

Hence, the correct answer is Option 4.

 

Additional Information

• Let us explore the other options:
• Matching: corresponding in pattern, colour, or design; complementary.
• Attendant: a person who is present on a particular occasion.
• Concurrent: existing, happening, or done at the same time.
• Parallel: occurring or existing at the same time or in a similar way; corresponding.

The correct answer is 'would leave'

Key Points

• Let us explore the given options:
• will: used for showing that somebody is offering something or wants to do something, or that something is able to do something (in future tense)
• example: I will start studying on Monday.
• shall: Shall is only used for future time reference with I and we, and is more formal than will.
• example: I shall inform her to attend the meeting scheduled for tomorrow.
• could: used for saying that something may be or may have been possible.
• example: I could have taken up sciences in school but my inclination was towards humanities.
• would: used to refer to future time from the point of view of the past.
• example: He said he would leave by train tomorrow.
• Because, the sentence is in the past tense, talking about a future event the correct option to use here will be 'would'.
• Therefore, the correct answer is 'would leave'.

Hence, the correct option is option 4.

The correct sentence is: She told me that all her papers were ready and she would leave for Canada next month.

The correct answer is 'is neither'

Key Points

• The adjective 'Neither' is used about two people or things which are not one and not the other, so the use of 'neither' is correct here as the sentence indicates that the newly appointed CEO is not honest and not tactful.
• But according to grammatical rules, 'neither' should be placed immediately before the word it emphasizes, so 'neither' should be placed before honest.
• Either is used when referring to a choice between two options, so options 1 and 2 can be eliminated**.**
• Only is used to show that there is a single one or very few of something, or that there are no others, so option 4 can also be eliminated.
• Therefore, the correct answer is 'is neither'.

Hence, the correct option is option 2.

The correct sentence is: The future of the company is at stake as the present CEO of the company is neither honest nor tactful.

The correct answer is 'to me'

Key Points

• The word 'senior' is used here, to compare the positions of two people in the workplace.
• 'senior' here is a comparative adjective which is an adjective used to compare two people or things.
• According to the rule of grammar, the comparative adjectives such as 'prior, junior, senior, superior, inferior, prefer(verb), preferable, elder' etc are followed by 'to' instead of 'than'.
• So the use of 'than me' in the sentence is incorrect.
• Therefore, the correct answer is 'to me'.

Hence, the correct option is option 1.

The correct sentence is: Although he is my subordinate, he is senior to me in service.

The correct answer is, 'wittier than'

Key Points

• As a rule, the comparative adjectives ending in 'er' (ex- wittier) should be used as 'more witty' while comparing the two qualities of the same thing or a person, but since in the sentence a quality is being compared between two people using 'more witty' makes the sentence incorrect.
• The given sentence compares the quality of being witty between the two sisters, so the comparative degree of adjective 'witty' will be used, which eliminates option 1 which uses a superlative degree 'wittiest'.
• The comparative degree of 'witty' i.e 'wittier' will be the correct answer.

Hence, the correct option is option 4.

The correct sentence is: She is wittier than her sister.

Additional Information

• Comparative adjectives compare one person or thing with another and enable us to say whether a person or thing has more or less of a particular quality.
• To form the comparative, we use the -er suffix with adjectives of one syllable:
• cold- colder
• Two syllable adjectives ending in -y change y to i and take the -er endings:
• happy- happier
• Adjectives of three or more syllables form the comparative with more/less:
• interesting- more interesting

The correct answer is why you had failed.

Key Points

• The sentence is an indirect question with no question mark, we treat it as an affirmative sentence. hence, option 1 is ruled out.
• No other phrase from any other options makes sense and thus all other options get eliminated.
• Hence, the correct answer is option 3.

The correct sentence is: To be successful, you must understand why you had failed in the past and take steps to prevent it from happening again.

Additional Information

• Direct question: Do you like coffee?
• This is an interrogative sentence, with the usual word order for direct questions: auxiliary verb + subject + main verb.
• Indirect question: She asked me if I was hungry.
• This is a declarative sentence (and it contains an indirect question with no question mark). This sentence has the usual word order for statements: subject + main verb.

The correct answer is option 5 i.e. CEDBA.

 

Explanation    

• First is C as it establishes the subject i.e. Sterling and Wilson Solar Limited. C is the only opening segment that can lead to the formation of a meaningful and grammatically correct sentence.
• Next is E as it contextually follows C.
• D is in continuation with E as it states what Sterling and Wilson Solar Limited has become.
• Next is B as it tells what the company did.
• Last is A as it states where the project was commissioned i.e. Oman.

Correct sentence- Sterling and Wilson Solar Limited has become the first Indian company to commission a solar photovoltaic (PV) project in Oman.

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

 

Explanation     

• First is C as it establishes the subject i.e. Greenland. C is the only opening segment that can lead to the formation of a meaningful and grammatically correct sentence.
• Next is E as it what Greenland will lose.
• A follows E as it tells till when Greenland will lose 4.5 per cent of its ice.
• B contextually follows E.
• Last is D as it tells what how much this will contribute to sea-level rise.

Correct sentence- Greenland may lose 4.5 per cent of its ice by the end of this century -- contributing up to 13 inches of sea level rise.

The correct answer is option 3), i.e., BECAD

Explanation:

While arranging the parts of the sentence given in the options, we have to find some grammatical or contextual connections between them. So, let's find out.

• Part B establishes the subject of the sentence. It is the perfect beginning of the sentence as it introduces what the writer is concerned with.
• Part E contains the verb 'appreciate' which agrees with the verb phrase 'do not'. It also provides the direct object of the sentence, i.e., the opportunities. Thus, Part E follows Part B.
• Part C contains the relative pronoun 'which' which refers to 'opportunities' (in Part E). It also contains the plural be verb 'are' that agree with the antecedent (opportunities) of 'which'. Thus, Part C follows Part E.
• Part A continues with the same thought and talks about 'opportunities'. It also contains the plural be verb 'were' for 'opportunities'. Thus, Part A follows Part C.
• Part D contains the verb 'available' for the verb phrase 'were not'. It also has the indirect object 'their parents'. Thus, Part D follows Part A.

​Thus, the correct order is BECAD.

Correct sentence: Children nowadays do not appreciate the opportunities which are open to them and which were not available to their parents.

The correct answer is option 1 i.e. DABCE.

 

Explanation  

• First is D. This is the only opening segment that can lead to the formation of a meaningful and grammatically correct sentence.
• Next is A as it tells 'who' is being talked about.
• B follows A as it tells what they are doing.
• Next is C as it tells what they are searching for.
• Last is E as it tells where they are searching for work.

​

Correct sentence- More than one-fourth of the migrant workers are still searching for work in villages.

The correct answer is option 1 i.e. ADBCE.

Explanation    

• First is A as it establishes the subject i.e. global warming. A is the only opening segment that can lead to the formation of a meaningful and grammatically correct sentence.
• Next is D as it tells what this term is used for.
• B follows D as it starts to explain what global warming is.
• Next is C as it tells what increases i.e. average temperature.
• Last is E as it contextually follows C.

Correct sentence- Global warming is the term used to describe a gradual increase in the average temperature of the Earth's atmosphere and its oceans.

Total number of boats manufactured by all the 5 companies = 75 + 150 + 200 + 100 + 100 = 625

Required average = 625/5 =  125

∴ The required answer is 125.

 

The ratio of Boats and Ships Manufactured by Company B = 150 : 100

⇒ 3 : 2

∴ The required answer is 3 : 2.

The total number of boats manufactured by B = 150

The total number of boats manufactured by D and E = 100 + 100

⇒ 200

The required percentage = (150/200) × 100 = 75%

∴ The required answer is 75%.

The total number of (Boats + Ships) manufactured in the year 2022 = 125% of 300 = (125/100) × 300

⇒ 375

The number of boat manufactured by company E in the year 2022 = The number of boat manufactured by company E in the year 2021 = 100

The number of ships manufactured by company E in the year 2022 = 375 - 100

⇒   275

And, the number of ships manufactured by company E in the year 2022 = 200

Required difference = 275 - 200 = 75

∴ The required answer is 75.

The number of Boats manufactured by a New Company X = 3 × 100 = 300

The total number of (Boats + Ships) manufactured by Company X = 2 × 375 = 750

The number of Boats manufactured by a New Company X = 750 - 300

⇒ 450

∴ The required answer is 450.

Shortcut Trick

Let Length of Train B = L, then Length of Train A = L/2.

Let Speed of Train A = 2x and Speed of Train B = 3x.

Using Distance = Speed × Time: (L/2 + 100) / 5 = 2x and (L + 100) / 6 = 3x.

Ratio of speeds: [(L + 200)/10] / [(L + 100)/6] = 2/3 ⇒ 3(L + 200)/10 = 2(L + 100)/6.

Solving for L: 9L + 1800 = 10L + 1000 ⇒ L = 800 m.

∴ The correct answer is 800 m.

Alternate Method

Given: Ratio of lengths A:B = 1:2. Ratio of speeds A:B = 2:3. Platform = 100 m.

Formula Used: Speed = (Length of Train + Length of Platform) ÷ Time

⇒ Speed of A = (L_A + 100) ÷ 5

⇒ Speed of B = (L_B + 100) ÷ 6

⇒ Let L_B = 2y, then L_A = y

⇒ [(y + 100) ÷ 5] / [(2y + 100) ÷ 6] = 2 ÷ 3

⇒ [6(y + 100)] / [5(2y + 100)] = 2 / 3

⇒ 18(y + 100) = 10(2y + 100)

⇒ 18y + 1800 = 20y + 1000

⇒ 2y = 800

⇒ L_B = 2y = 800 m

∴ The correct answer is 800 m.

Additional Information

Train Crossing Object with Length

When a train crosses a platform, bridge, or another train, the total distance covered is the sum of the train's length and the object's length.

Relative Speed

If two trains are moving in the same direction, relative speed = S₁ − S₂. In opposite directions, relative speed = S₁ + S₂.

Conversion Units

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

Shortcut Trick

Net work done by Pipe C = Combined efficiency of (A + B) − Combined efficiency of (A + B + C).

Using the reciprocal method: 1/C = 1/(A+B) − 1/(A+B+C)

Efficiency of C = 1/3 − 1/4 = (4 − 3)/12 = 1/12.

∴ The correct answer is 12 hr.

Alternate Method

Given:

Time taken by Pipe A + B = 3 hours

Time taken by Pipe A + B + C = 4 hours

Formula Used:

Efficiency = Total Work ÷ Time

Calculations:

⇒ Efficiency of (A + B) = 4 units/hr

⇒ Efficiency of (A + B + C) = 3 units/hr

⇒ Efficiency of Pipe C = Efficiency (A + B + C) − Efficiency (A + B)

⇒ Efficiency of Pipe C = 3 − 4 = −1 unit/hr (Negative sign indicates outlet/emptying)

⇒ Time taken by Pipe C to empty the tank = Total Work ÷ Efficiency of C

⇒ Time = 12 ÷ 1 = 12 hours

∴ The correct answer is 12 hr.

Additional Information

Pipes & Cisterns Sign Convention

Inlet pipes are considered to have positive efficiency as they add water, while outlet pipes have negative efficiency as they remove water.

Net Work Formula

If pipe X fills in 'a' hours and pipe Y empties in 'b' hours, net work in 1 hour = (1/a − 1/b). If the result is negative, the tank will be emptied.

Shortcut Trick

Profit Ratio = (Capital_A × Time_A) : (Capital_B × Time_B)

Given Profit Ratio = 5 : 6

(X × 20) : ((X + 10) × 16) = 5 : 6

20X ÷ (16X + 160) = 5 ÷ 6 ⇒ 4X ÷ (16X + 160) = 1 ÷ 6 ⇒ 24X = 16X + 160

8X = 160 ⇒ X = 20. Investment of B = X + 10 = 20 + 10 = 30.

∴ The correct answer is Rs. 30.

Alternate Method

Given → Investment A = Rs. X, Investment B = Rs. (X + 10), Time A = 20 months, Time B = 16 months, Profit Ratio A:B = 5:6. Formulas: Profit = Investment × Time | Investment Ratio = (Profit₁ ÷ Time₁) : (Profit₂ ÷ Time₂)

⇒ Ratio of investments: X : (X + 10) = (5 ÷ 20) : (6 ÷ 16) ⇒ X : (X + 10) = (1 ÷ 4) : (3 ÷ 8) ⇒ X : (X + 10) = 2 : 3 (Multiplying by 8) ⇒ 3X = 2(X + 10) ⇒ 3X = 2X + 20 ⇒ X = 20 ⇒ Investment of B = X + 10 = 20 + 10 = 30.

∴ The correct answer is Rs. 30.

Additional Information

Partnership Basics

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

Calculating Investment or Time

If the profit ratio and time ratio are known, Investment ratio = (P1/T1) : (P2/T2). If profit ratio and investment ratio are known, Time ratio = (P1/I1) : (P2/I2).

Shortcut Trick

Ratio of A and B (6 years ago) = 7 : 6

Let ages 6 years ago be 7x and 6x. Present ages: A = 7x + 6, B = 6x + 6.

Given C = A − 6 ⇒ C = (7x + 6) − 6 = 7x.

Sum B + C = 32 ⇒ (6x + 6) + 7x = 32 ⇒ 13x = 26 ⇒ x = 2.

Present age of C = 7 × 2 = 14 years.

∴ The correct answer is 14 years.

Alternate Method

Given:

Ratio of A : B (6 years ago) = 7 : 6

A = C + 6 (Present)

B + C = 32 (Present)

Calculations:

⇒ Let A's age 6 years ago = 7x

⇒ Let B's age 6 years ago = 6x

⇒ Present age of A = 7x + 6

⇒ Present age of B = 6x + 6

⇒ Present age of C = A − 6 = (7x + 6) − 6 = 7x

⇒ B + C = 32

⇒ (6x + 6) + 7x = 32

⇒ 13x + 6 = 32

⇒ 13x = 26

⇒ x = 2

⇒ Present age of C = 7 × 2 = 14

∴ The correct answer is 14 years.

Additional Information

Ratio and Proportions in Ages

When a ratio is given for a past or future time, always convert the variables to present age by adding or subtracting the time difference before equating with present sums.

Age Difference Property

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

Shortcut Trick

Initial Ratio of Milk : Water = 7 : 3

Final mixture is 80% Milk → Milk : Water = 80 : 20 = 4 : 1

Since only Milk is added, Water remains constant. Equating water: (7:3) and (4:1)×3 → (12:3)

Increase in Milk = 12 − 7 = 5 units. Given 5 units = 50 litres → 1 unit = 10 litres.

Initial difference = 7 − 3 = 4 units = 4 × 10 = 40 litres.

∴ The correct answer is 40 litre.

Alternate Method

Given: Initial ratio 7 : 3, Milk added = 50 litres, Final milk % = 80%.

Formula: Ratio = Quantity 1 / Quantity 2

⇒ Let Initial Milk = 7k and Initial Water = 3k

⇒ Final Milk = 7k + 50

⇒ Final Water = 3k

⇒ Final Mixture = (7k + 50 + 3k) = 10k + 50

⇒ (7k + 50) / (10k + 50) = 80/100 = 4/5

⇒ 5 × (7k + 50) = 4 × (10k + 50)

⇒ 35k + 250 = 40k + 200

⇒ 5k = 50 ⇒ k = 10

⇒ Initial Difference = 7k − 3k = 4k = 4 × 10 = 40 litres.

∴ The correct answer is 40 litre.

Additional Information

Mixture Replacement Rule

When a specific quantity is added to a mixture, only the ratio of that specific component changes while others remain constant in quantity.

Percentage to Ratio Conversion

To solve quickly, convert percentages to simple ratios: 80% = 80/100 = 4/5. If milk is 4 parts of a total 5, then water is 1 part.

Alligation Method

Useful when two mixtures or a pure component is added to a mixture to find the resulting concentrations or quantities.

Shortcut Trick

Additional Interest = Principal × Increase in Rate × Time ÷ 100

Additional Interest = 2450 × 3 × 3 ÷ 100 = 24.5 × 9 = ₹ 220.5

New Interest = Old Interest + Additional Interest = 441 + 220.5 = ₹ 661.5

∴ The correct answer is ₹ 661.5.

Alternate Method

Given: Principal (P) = ₹ 2,450, Old Interest (I₁) = ₹ 441, Time (T) = 3 years, New Rate = (x + 3)%

Formula Used: SI = (P × R × T) ÷ 100

⇒ x = (SI × 100) ÷ (P × T)

⇒ x = (441 × 100) ÷ (2450 × 3)

⇒ x = 44100 ÷ 7350 = 6%

⇒ New Rate = 6% + 3% = 9%

⇒ New Interest = (2450 × 9 × 3) ÷ 100

⇒ New Interest = (2450 × 27) ÷ 100 = 66150 ÷ 100 = ₹ 661.5

∴ The correct answer is ₹ 661.5.

Additional Information

Simple Interest Formula

The basic formula for Simple Interest is SI = (P × R × T) / 100, where P is Principal, R is Rate, and T is Time.

Effect of Rate Change

If the rate changes by r% while P and T remain constant, the change in interest is given by ΔSI = (P × r × T) / 100.

Amount Calculation

Total Amount (A) at the end of the period is the sum of Principal and Interest: A = P + SI.

Shortcut Trick

Profit = 40% ⇒ Profit/CP = 2/5. Let Cost Price (CP) = 5 units and Selling Price (SP) = 7 units.

Profit in units = 7 − 5 = 2 units.

Given SP − CP = Rs. 200 ⇒ 2 units = Rs. 200.

1 unit = Rs. 100.

Cost Price = 5 units × Rs. 100 = Rs. 500.

∴ The correct answer is Rs. 500.

Alternate Method

Given → MP : SP = 8 : 7, Profit% = 40%, SP − CP = Rs. 200. Formulas → SP = CP × (100 + P%)/100 | Profit = SP − CP.

⇒ Let CP be x. Profit = 40% of x = 0.4x.

⇒ Given: SP − CP = 200 ⇒ (CP + Profit) − CP = 200.

⇒ Profit = 200 ⇒ 0.4x = 200.

⇒ x = 200/0.4 = 2000/4 = 500.

∴ The correct answer is Rs. 500.

Additional Information

Marked Price & Discount

MP is the price printed on product. Discount = MP − SP. Discount% = (Discount/MP) × 100.

Relation between CP and MP

CP/MP = (100 − D%)/(100 + P%). This is a vital ratio for complex profit/loss problems.

Shortcut Trick

Upstream Speed = Still Water Speed − Stream Speed

Upstream Speed = 10 − 4 = 6 kmph

Time = Distance ÷ Upstream Speed = 30 ÷ 6 = 5 hr

∴ The correct answer is 5 hr.

Alternate Method

Given:

Speed of boat in still water (u) = 10 kmph

Speed of stream (v) = 4 kmph

Distance (D) = 30 km

Formula Used:

Upstream Speed (S_up) = u − v

Time (T) = Distance ÷ Speed

Calculations:

⇒ S_up = 10 − 4 = 6 kmph

⇒ T = 30 ÷ 6

⇒ T = 5 hr

∴ The correct answer is 5 hr.

Additional Information

Downstream Speed

When the boat travels with the flow, speed is added: Downstream Speed = Still Water Speed + Stream Speed.

Still Water Speed Formula

If downstream (D) and upstream (U) speeds are known, Still Water Speed = (D + U) ÷ 2.

Stream Speed Formula

If downstream (D) and upstream (U) speeds are known, Stream Speed = (D − U) ÷ 2.

Shortcut Trick

Perimeter of semicircle = r(π + 2) ⇒ 36 = r(3 + 2) ⇒ 36 = 5r

Radius (r) = 36 ÷ 5 = 7.2 cm

Breadth (B) = Radius (r) = 7.2 cm

Length (L) = Area ÷ Breadth = 216 ÷ 7.2 = 30 cm

∴ The correct answer is 30 cm.

Alternate Method

Given: Perimeter of semicircle = 36 cm, Area of rectangle = 216 cm², π = 3.

Formula: Perimeter of semicircle = πr + 2r; Area of rectangle = Length × Breadth.

⇒ 36 = r(3 + 2)

⇒ 36 = 5r

⇒ r = 7.2 cm

⇒ Breadth (B) = 7.2 cm

⇒ 216 = Length × 7.2

⇒ Length = 216 ÷ 7.2 = 30 cm

∴ The correct answer is 30 cm.

Additional Information

Area of Semicircle

The total region enclosed by a semicircle is given by half the area of a circle: Area = (πr²) ÷ 2.

Perimeter of Rectangle

The total boundary length of a rectangle is calculated as: Perimeter = 2 × (Length + Breadth).

Circle Properties

Circumference of a full circle = 2πr and Area of a full circle = πr².

Shortcut Trick

Let the total salary be 100 units.

Remaining after 30% grocery = 70 units.

Expenses from remaining: 20% (Rent) + 50% (Loan) = 70%.

Savings from remaining = 30% of 70 = 21 units.

21 units = Rs. 14700 → 1 unit = Rs. 700 → 100 units = Rs. 70000.

∴ The correct answer is Rs. 70000.

Alternate Method

Given: Savings = Rs. 14700 | Grocery = 30% | Rent = 20% of remaining | Loan = 50% of remaining

Formula: Savings = Salary × (100 − %Spent₁)/100 × (100 − %Spent₂)/100

⇒ Let Salary be S.

⇒ Remaining after Grocery = S × (100 − 30)/100 = 0.70S

⇒ Total % spent from remaining = 20% + 50% = 70%

⇒ Savings from remaining = 100% − 70% = 30%

⇒ 30% of 0.70S = 14700

⇒ (30/100) × (70/100) × S = 14700

⇒ 0.21S = 14700

⇒ S = 14700 ÷ 0.21 = 70000

∴ The correct answer is Rs. 70000.

Additional Information

Remaining Balance Concept

When expenses are calculated on the remaining amount, use the multiplying factor method: Final = Initial × (1 − r₁/100) × (1 − r₂/100).

Successive Percentage Change

The overall percentage reduction from the original value is 100 − [100 × (1 − r₁/100) × (1 − r₂/100)].

Base Change Rule

Always identify if the percentage is of the total or of the remaining balance to avoid calculation errors.

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

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

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

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

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

The expression given is as follows,

⇒ 2/7 of 504 ÷ 24 + 30 = (?)²

⇒ 144 ÷ 24 + 30 = (?)²

⇒ 36 = (?)²

⇒ ? = 6

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

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

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

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

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

The expression given is as follows,

√14400 × √8100 - (60)² = ? + (80)²

⇒ 120 × 90 - 3600 = ? + 6400

⇒ 10800 - 10000 = ?

⇒ ? = 800

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

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

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

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

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

⇒ √1225 × 12 + √4900 - (19)2 = ?

⇒ 35 × 12 + 70 - 361 = ?

∴ ? = 129

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

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

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

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

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

621 ÷ (3)3 × 2 – 37 = √?

⇒ 621 ÷ 27 × 2 – 37 = √?

⇒ 23 × 2 – 37 = √?

⇒ √? = 46 – 37 = 9

∴ ? = 92 = 81

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

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

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

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

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

1/3 of 786 – 11/8 of 1032 = ? – 13/4 of 528

⇒ 262 – 1419 = ? – 1716

-1157=? - 1716

1716-1157=?

∴ ? = 559

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

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

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

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

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

20% of 450 + ∛216 – 82 = ?

⇒ 90 + 6 – 64 = ?

⇒ 96 – 64 = ?

∴ ? = 32

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

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

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

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

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

{45 – (26 – 56 ÷ 8 + 12)} = ?

⇒ {45 – (26 – 7 + 12)} = ?

⇒ {45 – (38 – 7)} = ?

⇒ {45 – 31} = ?

∴ ? = 14

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

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

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

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

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

55% of 600 - ? = 8 × 180 ÷ 9

⇒ 330 - ? = 8 × 20

⇒ 330 - ? = 160

⇒ ? = 330 - 160

∴ ? = 170

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

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

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

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

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

24 × 45 ÷ 9 – 60 = ? – 120

⇒ 24 × 5 – 60 = ? – 120

⇒ 120 – 60 = ? – 120

⇒ 60 = ? – 120

⇒ 180 = ?

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

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

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

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

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

55% of 700 + ∛3375 – 122 = ?2

⇒ 385 + 15 – 144 = ?2

⇒ 400 – 144 = ?2

⇒ 256 = ?²

∴ ? = 16

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

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

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

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

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

486 ÷ 3³ + ∛2197 - 6 × 5 = ? 

⇒ 486 ÷ 27 + 13 - 6 × 5 = ? 

⇒ 18 + 13 - 6 × 5 = ? 

⇒ 18 + 13 - 30 = ? 

⇒ 31 - 30 = ? 

∴ ? = 1

Concept used:

Calculation:

25% of 500 + 75% of 200 = ? + 140

⇒ 125 + 150 = ? + 140

⇒ 275 = ? + 140

∴ ? = 135

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

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

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

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

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

{95 - (125 - 64 ÷ 8 × 7)} = ?

⇒ {95 - (125 - 8 × 7)} = ?

⇒ {95 - (125 - 56)} = ?

⇒ {95 - 69} = ?

∴ ? = 26

Solution:

We have to follow the BODMAS rule

Calculation:

34² - 25² + 18² - 9² = ? - 15²

⇒ ? = 1156 - 625 + 324 - 81 + 225

⇒ ? = 999

Concept used:

Calculation:

(13)2 - (4)3 - √676 + 4 = ?

⇒ 169 – 64 - √676 + 4 = ?

⇒ ? = 169 – 64 – 26 + 4

⇒ ? = 173 – 90 = 83

The pattern of the series is as follows: +8, +7, +6, +5, +4

15 + 8 = 23

23 + 7 = 30

30 + 6 = 36

36 + 5 = 41

41 + 4 = 45 

∴ The required answer is 45.

The pattern of the series is as follows: +14, +28, +42, +56, +70

8 + 14 = 22

22 + 28 = 50

50 + 42 = 92

92 + 56 = 148

148 + 70 = 218

∴ The required answer is 218.

The pattern of the series is as follows: 

21² + 3 = 444

15² + 3 = 228

10² + 3 = 103

6² + 3 = 39

3² + 3 = 12

1² + 3 = 4

∴ The required answer is 228.

The pattern of the series is as follows: +52, +102, +152, +202, +252

10 + 5² = 35

35 + 10² = 135

135 + 15² = 360

360 + 20² = 760

760 + 25² = 1385

∴ The required answer is 1385.

The pattern of the series is as follows: +6 × 1, +6 × 2, +6 × 4, +6 × 8, +6 × 16  

4 + 6 × 1 = 10

10 + 6 × 2 = 22

22 + 6 × 4 = 46

46 + 6 × 8 = 94

94 + 6 × 16 = 190

∴ The required answer is 94.

From the given information,

1. P is the husband of O.

2. O is the daughter of Q.

3. R and Q are the kids of T and S.

4. R is married to U.

5. Father of N is U who has only one daughter.

6. T has a son and a daughter.

This means R is the mother of N and daughter of T. So, Q is the son of T.

7. M is the brother of N.

So, N is the female as U has only one daughter.

8. S is the father in law of U.

This implies T is the wife of S.

9. V, who is the father in law of W is the paternal uncle of R.

This implies V is the brother of S.

10. W is the wife of X.

So, X is the son of V and husband of W.

Q belongs to the second generation while rest of them belong to the third generation. So, Q doesn’t belong to the group.

Hence, Q is the correct answer.

From the given information,

1. P is the husband of O.

2. O is the daughter of Q.

3. R and Q are the kids of T and S.

4. R is married to U.

5. Father of N is U who has only one daughter.

6. T has a son and a daughter.

This means R is the mother of N and daughter of T. So, Q is the son of T.

7. M is the brother of N.

So, N is the female as U has only one daughter.

8. S is the father in law of U.

This implies T is the wife of S.

9. V, who is the father in law of W is the paternal uncle of R.

This implies V is the brother of S.

10. W is the wife of X.

So, X is the son of V and husband of W.

Hence, daughter in law is the correct answer.

Mistake Points W is the daughter-in-law of V and V is the brother-in-law of T. So W will be the daughter-of-law of T also. There is no mistake in the question.

W is the daughter-in-law of T, S, and V.

If W was the daughter of V in that case it would have been Niece.

From the given information,

1. P is the husband of O.

2. O is the daughter of Q.

3. R and Q are the kids of T and S.

4. R is married to U.

5. Father of N is U who has only one daughter.

6. T has a son and a daughter.

This means R is the mother of N and daughter of T. So, Q is the son of T.

7. M is the brother of N.

So, N is the female as U has only one daughter.

8. S is the father in law of U.

This implies T is the wife of S.

9. V, who is the father in law of W is the paternal uncle of R.

This implies V is the brother of S.

10. W is the wife of X.

So, X is the son of V and husband of W.

N is daughter of R who is daughter of S.

Hence, granddaughter is the correct answer.

1^st 2^nd 7^th and 8^th letters of ARCHITECT are AREC.

Which makes 3 meaningful words CARE, RACE, ACRE

As per which the correct answer is M, as in the question it is asked if more than 1 such word can be formed then the answer would be M.

The least possible Venn diagram for the given statements is as follows-

Conclusions:

I. All N being T is a possibility → True (Some N are T. So, there is possibility that All N being T.)

II. Some T are G → True (All G are T hence it  implicit that Some T are G.)

Hence, both conclusions I and II follow.

The least possible Venn diagram for the given statements is as follows-

Conclusions:

I. Some tables are not caps → True (The given conclusion is True because the part of table which is stool will never be the cap.)

II. All caps being tables is a possibility → True (The given conclusion is true because no exact relation between cap and table is given, hence possibility case is formed. Hence, given statement is true.)

Hence, both conclusions I and II follow.

Venn diagram for the given statements is as follows.

Conclusions

Some electric are ring - False(Because the relation between electric and ring is not clear so Some electric are ring is false)

Some electric can never be ring -  True(Given Only a few watches are electric and No watches is ring so the part of electric which is the watch can never be ring)

Hence, Only II follows.

The least possible venn diagram for the given statements is:

Conclusions:

I. All Hair are Sky → False (It is possible but not definite, because no definite relation is given between the elements, therefore we will consider it as false.)

II. Some Hairs are not Sky → False (It is possible but not definite, because no definite relation is given between the elements, therefore we will consider it as false.)

Here in conclusions I and II, we have common elements and both the conclusions are false. The conclusions start with 'Some' and 'No'. Hence it is Either or case.

Hence, Either I or II follow, is the correct answer.

Important Points

Conditions of Either-or case:

1. The elements should be the same in both the statements.
2. Both the conclusions should be false individually.
3. One conclusion should be positive and one conclusion should be negative (Complementary pair)

The two complementary pairs are:

1. All + Some not

2. Some + No

Note: Some + Some not and All + No is not considered under Either-or case.

The least possible Venn Diagram for the given data is:

Conclusions:

I. All floors being doors is a possibility → False (if all floors are doors then it would mean that all floors are walls too which is not possible.)

II. No door is a floor → False (it is possible but not definite.)

Hence, "neither conclusion I nor II follows."

Given series:

Left side 4 3 1 5 7 8 3 1 6 2 9 7 1 2 1 3 5 2 6 8 6 5 4 3 2 1 3 8 7 Right side

1. Odd numbers which are immediately preceded by a perfect square are:

4 3 1 5 7 8 3 1 6 2 9 7 1 2 1 3 5 2 6 8 6 5 4 3 2 1 3 8 7

Hence, there are six odd numbers which are immediately preceded by a perfect square.

NOTE: 1 is also a perfect square.

Given series:

Left side 4 3 1 5 7 8 3 1 6 2 9 7 1 2 1 3 5 2 6 8 6 5 4 3 2 1 3 8 7 Right side

1. Number which is seventh to the right of tenth number from the left

Firstly, Element which is tenth from the left

4 3 1 5 7 8 3 1 6 2 9 7 1 2 1 3 5 2 6 8 6 5 4 3 2 1 3 8 7

Now, seventh element from the right of ‘2’

4 3 1 5 7 8 3 1 6 2 9 7 1 2 1 3 5 2 6 8 6 5 4 3 2 1 3 8 7

Hence, ’5’ will be seventh to the right of tenth number from the left.

Given series

Left side 4 3 1 5 7 8 3 1 6 2 9 7 1 2 1 3 5 2 6 8 6 5 4 3 2 1 3 8 7 Right side

1. All the even numbers are dropped

Series after deleting all even numbers

Left side 3 1 5 7 3 1 9 7 1 1 3 5 5 3 1 3 7 Right side

2. Number which is ninth to the left of fifteenth number from the left

Firstly, fifteenth number from the left end

3 1 5 7 3 1 9 7 1 1 3 5 5 3 1 3 7

Now, ninth to the left of ‘1’

3 1 5 7 3 1 9 7 1 1 3 5 5 3 1 3 7

Hence, if all even numbers are dropped ‘1’ will be ninth to the left of fifteenth number from the left.

Given series

Left side 4 3 1 5 7 8 3 1 6 2 9 7 1 2 1 3 5 2 6 8 6 5 4 3 2 1 3 8 7 Right side

1. Odd numbers are there which are immediately preceded by perfect cube and followed by perfect square

Left side 4 3 1 5 7 8 3 1 6 2 9 7 1 2 1 3 5 2 6 8 6 5 4 3 2 1 3 8 7 Right side

So the required pattern is - (Cube) (Number) (Square).

8 = 2³ and 1 = 1²

Hence, there is one such odd number.

According to the given information,

1. U is sitting second to left of W.

2. Two persons are sitting between U and P.

3. S is sitting second to the right of P.

4. T who is not facing inside is sitting third to the right of R, who is the immediate neighbour of both V and U. Here case 1 - A and case 1 - B get eliminated because T is facing inside.

5. U is one of the immediate neighbour of Q. Here case 2 - B gets eliminated because U will not be one of the immediate neighbours of Q.

Hence, T is the correct answer.

According to the given information,

1. U is sitting second to left of W.

2. Two persons are sitting between U and P.

3. S is sitting second to the right of P.

4. T who is not facing inside is sitting third to the right of R, who is the immediate neighbour of both V and U. Here case 1 - A and case 1 - B get eliminated because T is facing inside.

5. U is one of the immediate neighbour of Q. Here case 2 - B gets eliminated because U will not be one of the immediate neighbours of Q.​

Hence, S, Q, R, P is the correct answer.

According to the given information,

1. U is sitting second to left of W.

2. Two persons are sitting between U and P.

3. S is sitting second to the right of P.

4. T who is not facing inside is sitting third to the right of R, who is the immediate neighbour of both V and U. Here case 1 - A and case 1 - B get eliminated because T is facing inside.

5. U is one of the immediate neighbour of Q. Here case 2 - B gets eliminated because U will not be one of the immediate neighbours of Q.​

Hence, Q is the correct answer.

According to the given information,

1. U is sitting second to left of W.

2. Two persons are sitting between U and P.

3. S is sitting second to the right of P.

4. T who is not facing inside is sitting third to the right of R, who is the immediate neighbour of both V and U. Here case 1 - A and case 1 - B get eliminated because T is facing inside.

5. U is one of the immediate neighbour of Q. Here case 2 - B gets eliminated because U will not be one of the immediate neighbours of Q.​

Hence**, W and U** is the correct answer.

According to the given information,

1. U is sitting second to left of W.

2. Two persons are sitting between U and P.

3. S is sitting second to the right of P.

4. T who is not facing inside is sitting third to the right of R, who is the immediate neighbour of both V and U. Here case 1 - A and case 1 - B get eliminated because T is facing inside.

5. U is one of the immediate neighbour of Q. Here case 2 - B gets eliminated because U will not be one of the immediate neighbours of Q.​

Hence, Q is the correct answer.