SBI PO Prelims Memory Based Paper (Held On: 19 Dec 2022 Shift 1) (Previous Year Paper)

The correct answer is: Option 4.

Key Points

• The word "Liberty" means the state of being free within society from oppressive restrictions imposed by authority on one's behaviour or political views. (स्वतंत्रता)
• Example: The country fought for its liberty from colonial rule.
• "Emancipation" refers to the fact or process of being set free from legal, social, or political restrictions; liberation. (मुक्ति)
• Example: The emancipation of the slaves was a pivotal moment in history.

Therefore, the correct answer is: Emancipation.

Additional Information

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

• Subjugation (विजय करना): The action of bringing someone or something under domination or control.
• Example: The subjugation of the small nation led to widespread dissent.
• Captivity (कैद): The condition of being imprisoned or confined.
• Example: The animal was held in captivity for years before being released.
• Dependence (निर्भरता): The state of relying on or being controlled by someone or something else.
• Example: The country's dependence on foreign aid has hindered its growth.
• Internment (नजरबंदी): The state of being confined as a prisoner, especially for political or military reasons.
• Example: During the war, many civilians were placed in internment camps.

The correct answer is 'Mr. Graves.'

Key Points

• The eleventh sentence of the second paragraph says "The postmaster, Mr. Graves, followed him, carrying a three-legged stool, and the stool was put in the center of the square and Mr. Summers set the black box down on it.''
• From the above sentence, we can say that Mr. Graves is the postmaster in the passage.
  

Hence, the only possible answer is option 3.

The correct answer is 'Only B.'

Key Points

• The third sentence of the second paragraph says "The women, wearing faded house dresses and sweaters, came shortly after their menfolk'' and the fifth sentence of the first paragraph says "Bobby Martin had already stuffed his pockets full of stones, and the other boys soon followed his example, selecting the smoothest and roundest stones; Bobby and Harry Jones and Dickie Delacroix-- the villagers pronounced this name "Dellacroy"--eventually made a great pile of stones in one corner of the square and guarded it against the raids of the other boys''.
• From the above sentence, we can say that statements A and C are incorrect according to the given passage.​​
• The first sentence of the first paragraph says "The morning of June 27th was clear and sunny, with the fresh warmth of a full-summer day; the flowers were blossoming profusely and the grass was richly green."
• From the above sentence, we can say that statement B is correct according to the given passage.​​​
  

Hence, the only possible answer is option 3.

The correct answer is 'A short period of time.'

Key Points

• Given Idiom: For a while means A short period of time.
• Example: I will be able to sit with you for a while, but I need to get home soon.
• From the given options, the first option is the most appropriate meaning of the given idiom*.*
  

Hence, the correct answer is option 1.

Mistake Points

• We may think from the phrase "For a while" that it is all about passing time in a leisurely manner.
  

Additional Information

• The origin of awhile can be traced to Middle Englishānehwīle, having originated before 1000 BCE.  It is an adverb denoting the amount of time that is spent somewhere. When it is used as the object of the preposition it is separated into two words a while. However, it is becoming more common to write it as one word, He is staying for awhile.

The correct answer is 'Restrained.'

Key Points

• The word 'Boisterous' means Noisy, energetic, and cheerful.
• Example: The boisterous welcome restored the princess's good spirits.
• Let's look at the meaning of the given options:-
• Exuberant - Full of energy, excitement, and cheerfulness.
• Example: He is energetic and exuberant.
• Frisky - Playful and full of energy.
• Example: The spring weather's making me feel quite frisky.
• Restrained - Not showing strong feelings.
• Example: With an effort, he restrained himself.
• Spirited - Full of energy, enthusiasm, and determination.
• Example: He was by nature a spirited little boy.
• Rambunctious - Uncontrollably exuberant; boisterous.
• Example: Their rambunctious son always got into trouble.
  

Hence, the only possible answer is option 3.

Additional Information

• The antonyms of the word 'Boisterous' are "Restrained, Quiet, Orderly".
• The synonyms of the word 'Boisterous' are "Exuberant, Spirited, Rambunctious".

The correct answer is 'From.'

Key Points

• The given sentence is talking about the men who stood away from the pile of stones in the corner.
• Let us explore the given options:
• The preposition 'Inside' means Moving so as to end up within.
• The preposition 'After' means Following or behind somebody or something.
• The preposition 'From' is used For indicating separation or removal.
• The preposition 'Before' means In front of someone or something.
• The preposition 'On' means In a place or position.
  

Hence, the correct answer is option 3.

Complete Sentence: They stood together, away from the pile of stones in the corner, and their jokes were quiet and they smiled rather than laughed.

The correct answer is 'Both A and B.'

Key Points

• The fifth sentence of the second paragraph says "Soon the women, standing by their husbands, began to call to their children, and the children came reluctantly, having to be called four or five times'' and the ninth sentence of the second paragraph says "He was a round-faced, jovial man and he ran the coal business, and people were sorry for him because he had no children and his wife was a scold''.
• From the above sentence, we can say that statements A and B are incorrect according to the given passage.​​
• The sixth sentence of the second paragraph says "Bobby Martin ducked under his mother's grasping hand and ran, laughing, back to the pile of stones."
• From the above sentence, we can say that statement C is correct according to the given passage.​​​
  

Hence, the only possible answer is option 2.

The correct answer is 'Mr. Summers.'

Key Points

• The eighth sentence of the second paragraph says "The lottery was conducted--as were the square dances, the teen club, and the Halloween program--by Mr. Summers who had time and energy to devote to civic activities.''
• From the above sentence, we can say that Mr. Summers is in charge of organizing and conducting the annual lottery.
  

Hence, the only possible answer is option 2.

The correct answer is 'About 300.'

Key Points

• The second sentence of the first paragraph says "The people of the village began to gather in the square, between the post office and the bank, around ten o'clock; in some towns, there were so many people that the lottery took two days and had to be started on June 27th but in this village, where there were only about three hundred people, the whole lottery took less than two hours, so it could begin at ten o'clock in the morning and still be through in time to allow the villagers to get home for noon dinner.''
• From the above sentence, we can say that according to the passage, about 300 people live in the village.
  

Hence, the only possible answer is option 4.

The correct answer is 'Standing in a group talking about tractors and rain'.

Key Points

• The first sentence of the second paragraph says "Soon the men began to gather surveying their own children, speaking of planting and rain, tractors, and taxes.''
• From the above sentence, we can say that according to the passage, the men are standing in a group talking about tractors and rain before it is time for the lottery to begin.
  

Hence, the only possible answer is option 3.

The correct answer is option 3 i.e. allowed

Explanation:

We have to choose a word which is similar to the emboldened word and can replace it. 

Let's take a look at the meaning and usage of all the words given in the question and options-

• Permitted: officially allowed (someone) to do something.
• Suffocated: felt or caused to feel trapped and oppressed.
• Pacified: subdued the anger, agitation, or excitement of.
• Allowed: let (someone) have or do something.
• Forbidden: ordered (someone) not to do something.
  

Therefore, from the given options, the best alternative for the emboldened word is ‘allowed'.

The correct answer is option 1 i.e. broken

Explanation:

We have to choose the word which is similar to the emboldened word and can replace it. 

Let's take a look at the meaning and usage of all the words given in the question and options-

• Shattered: Broke or caused to break suddenly and violently into pieces.
• Broken: (Past participle of 'break') separated into pieces as a result of a blow, shock, or strain.
• Sealed: Fastened or closed securely.
• Repaired: Restored something to its original state.
• Sewed: Joined together by making stitches with a needle and thread.
  

Therefore, from the given options, the best alternative for the 'emboldened' word is ‘broken'.

The correct answer is option 2 i.e. Towed.

Explanation:

We have to choose the word which is similar to the emboldened word and can replace it. 

Let's take a look at the meaning and usage of all the words given in the question and options-

• Hauled: pulled or dragged with effort or force.
• Torn: Past tense and past participle of 'tear', which means 'to pull something apart into pieces'.
• Towed: (of a motor vehicle or boat) pull (another vehicle or boat) along with a rope, chain, or tow bar.
• Alienated: made (someone) feel isolated or estranged.
• Placed: put in a particular position.
  

​

Therefore, from the given options, the best alternative for the 'emboldened' word is ‘towed'.

The correct answer is issues relegate.

Key Points

• In the given sentence, the emboldened part issues relegates is grammatically incorrect.
• In the given sentence, the subject is 'businesses' and it must be followed by a plural verb. We have to replace the singular verb 'relegates' with the plural verb 'relegate'.
• So,  issues relegate is the correct answer. 
  

So, the correct sentence is, Businesses that ignore accessibility issues relegate people with disabilities to second-class status.

Additional Information

• The word relegate means to assign an inferior rank or position to.
• relegated is the past tense of the verb relegate.

The correct answer is Understanding consumer.

Key Points

• In the given sentence, the emboldened part Having understood consumer is grammatically incorrect.
• In the given sentence, the participle Having understood has been used as a subject**, which is incorrect.** Also, the given sentence is in the simple present tense.
• The verb understand must be written as a  gerund, in its -ing form because it is a verb that is functioning as a noun in this sentence.
• So, Understanding consumer is the correct answer. 
  

So, the correct sentence is, Understanding consumer behaviour is a crucial aspect of today’s market, especially for effective marketing and branding of the products.

Additional Information

• A gerund is the -ing form of a verb that functions the same as a noun.
• For example, Running is fun. In this sentence, running is the gerund. It acts just like a noun.
• understood is the past tense of the verb 'understand'.

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

Explanation   

• First is B as it establishes the subject i.e. the pros of something. B is the only opening segment that can lead to the formation of a meaningful and grammatically correct sentence.
• Next is C as it tells the pros of what is being talked about.
• E follows C as it further talks about the pros.
• A contextually follows E.
• Last is D as it tells where the hurdles might appear.

Correct sentence- The pros of turning towards a more energy-efficient business model clearly outweigh the hurdles that may lie in the way.

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

Explanation     

• First is D as it establishes the subject i.e. multiple cases. D is the only opening segment that can lead to the formation of a meaningful and grammatically correct sentence.
• Next is E as it states what the cases are related to.
• B follows E as it tells what businesses have saved.
• Next is C as it tells how they have saved millions.
• Last is A as it tells where the changes were made.

Correct sentence- There are multiple cases where businesses have saved millions of rupees by making smaller changes in their processes.

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

Explanation     

• First is B as it establishes the subject i.e. solar tariffs. B is the only opening segment that can lead to the formation of a meaningful and grammatically correct sentence.
• Next is A as it tells what was set.
• C follows A as it describes the record.
• Next is D as it tells where the record was set i.e. in a 2000 MW auction.
• Last is E as it tells who conducted the auction.

Correct sentence- Solar tariffs set a new record of Rs 2.36 per unit in a 2000 MW auction conducted by the Solar Energy Corporation of India.

The correct answer is option 2 i.e. DCABE.

Explanation      

• First is D as it establishes the subject i.e. Portugal. D is the only opening segment that can lead to the formation of a meaningful and grammatically correct sentence.
• Next is C as it tells what was postponed.
• A follows C as it is in continuation with C.
• Next is B as it tells the reason for postponing.
• Last is E as it contextually follows B.

Correct sentence- Portugal has postponed its second solar energy licensing auction due to the impact of the coronavirus pandemic.

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

Explanation     

• First is E as it establishes the subject i.e. Portugal. E is the only opening segment that can lead to the formation of a meaningful and grammatically correct sentence.
• Next is A as it tells the attitude of the country.
• B follows A as it tells what threat the country is facing.
• Next is C as it tells the consequence of two major blazes in Portugal.
• Last is D as it tells when the people were killed due to these blazes.

Correct sentence - Portugal is deeply wary of the threat of wildfires after two major blazes killed 106 people three years ago.

The correct answer is option 3.

Key Points

• The error in part C of a sentence, error is in usage 'especial'
• Here, we need to use the adverb form of 'especial'
• Hence we need to replace 'especial' with 'especially'

​Correct answer - All the members of the PAGD have expressed their disappointment, especially at the absence of any substantial confidence­ building measures.

Additional Information

• Adverbs usually end with 'ly'.
• If any additional information is given regarding verbs then it is considered as an adverb.
• In the given sentence the adverb especially Describes the verb absence.

The correct answer is option 1.

Key Points

• The error in part A of a sentence, the error is in the usage of often
• adverb used in the sentence is incorrect, the correct adverb will 'also'
• The auxiliaries ‘have to’ and ‘used to prefer the adverb before often.
• hence we need to replace 'often' with 'also'.

​Correct answer - It has also been set up with a mandate to support and nurture entrepreneurs and provide quality mentorship to steer the entrepreneurial journeys.

Additional Information

• If any additional information is given regarding verbs then it is considered as an adverb.
• Adverb often is used when certain thing is happened on different occasions.
• while adverb also is used to give additional information of something which we have already said.

The correct answer is option 2.

• The error is in Part B of the sentence. in the use of has
• In the sentence, it is given that large contingents. hence there is more than one contingent.
• Hence, has should be replaced with have.

Correct sentence -Large contingents of farmers have started arriving at protest sites in preparation for their agitation on Thursday.

• The noun is Part of the sentence which defines persons, Place or things.
• Helping verbs in the sentence is decided with the help of a noun or subject.

The correct answer is option 1.

• The error is in part A of the sentence Some nouns are always singular.
• These are uncountable nouns. Articles A/An are not used with these nouns.
• These nouns are Machinery, work, traffic, business, etc.

Correct sentence - Business always depends on labor and capital.

• The Noun is Part of the sentence which defines persons, Place or things.
• Helping verbs in the sentence is decided with the help of a noun or subject.
• Some material nouns are silver, gold, metal, cotton, etc.

The correct answer is option 5.

• There is no error in the question
• Some nouns are always in the plural form they don’t have a singular form. A plural verb is used with them.
• These nouns are: Cattle, Alms, Police, Amends, wages
• In the given sentence the verb is already in plural form i.e. 'are' ; thus the given sentence is correct and therefore option 5th is the answer.

• The Noun is Part of the sentence which defines persons, Place or things.
• Helping verbs in the sentence is decided with the help of a noun or subject.
• Some nouns are always used in the plural form
• Eg. Goggles, Belongings, Breeches, Braces, Binoculars, Dregs, Entrails, Embers, etc

The correct answer is F

Key Points

• F - presents an  independent piece of factual information
• A - tells something more about Indian Railways that was introduced in F
• B - adds to the superlative 'the -est' once mentioned in A
• E - introduces passenger train statistics
• 5 - tells about the most common type of passenger trains
• C - introduces the freight segment and tells its numbers
• D - tells about the average speed of each freight train

Thus the correct order is: FABE5CD: Indian Railways (IR) is India's national railway system operated by the Ministry of Railways. It manages the fourth largest railway network in the world by size, with a route length of 67,368 kilometres and total track length of 121,407 kilometres. It is also the world's eighth-largest employer with 1.308 million employees as of March 2017. Indian Railway (IR) runs more than 20,000 passenger trains daily, on both long-distance and suburban routes, from 7,349 stations across India. Mail or express trains, the most common types, run at an average speed of 50.6 kilometres per hour.  In the freight segment, IR runs more than 9,200 trains daily. The average speed of freight trains is around 24 kilometres per hour.

The correct answer is A

Key Points

• F - presents an  independent piece of factual information
• A - tells something more about Indian Railways that was introduced in F
• B - adds to the superlative 'the -est' once mentioned in A
• E - introduces passenger train statistics
• 5 - tells about the most common type of passenger trains
• C - introduces the freight segment and tells its numbers
• D - tells about the average speed of each freight train

Thus the correct order is: FABE5CD: Indian Railways (IR) is India's national railway system operated by the Ministry of Railways. It manages the fourth largest railway network in the world by size, with a route length of 67,368 kilometres and total track length of 121,407 kilometres. It is also the world's eighth-largest employer with 1.308 million employees as of March 2017. Indian Railway (IR) runs more than 20,000 passenger trains daily, on both long-distance and suburban routes, from 7,349 stations across India. Mail or express trains, the most common types, run at an average speed of 50.6 kilometres per hour.  In the freight segment, IR runs more than 9,200 trains daily. The average speed of freight trains is around 24 kilometres per hour.

The correct answer is B

Key Points

• F - presents an  independent piece of factual information
• A - tells something more about Indian Railways that was introduced in F
• B - adds to the superlative 'the -est' once mentioned in A
• E - introduces passenger train statistics
• 5 - tells about the most common type of passenger trains
• C - introduces the freight segment and tells its numbers
• D - tells about the average speed of each freight train

Thus the correct order is: FABE5CD: Indian Railways (IR) is India's national railway system operated by the Ministry of Railways. It manages the fourth largest railway network in the world by size, with a route length of 67,368 kilometres and total track length of 121,407 kilometres. It is also the world's eighth-largest employer with 1.308 million employees as of March 2017. Indian Railway (IR) runs more than 20,000 passenger trains daily, on both long-distance and suburban routes, from 7,349 stations across India. Mail or express trains, the most common types, run at an average speed of 50.6 kilometres per hour.  In the freight segment, IR runs more than 9,200 trains daily. The average speed of freight trains is around 24 kilometres per hour.

The correct answer is C

Key Points

• F - presents an  independent piece of factual information
• A - tells something more about Indian Railways that was introduced in F
• B - adds to the superlative 'the -est' once mentioned in A
• E - introduces passenger train statistics
• 5 - tells about the most common type of passenger trains
• C - introduces the freight segment and tells its numbers
• D - tells about the average speed of each freight train

Thus the correct order is: FABE5CD: Indian Railways (IR) is India's national railway system operated by the Ministry of Railways. It manages the fourth largest railway network in the world by size, with a route length of 67,368 kilometres and total track length of 121,407 kilometres. It is also the world's eighth-largest employer with 1.308 million employees as of March 2017. Indian Railway (IR) runs more than 20,000 passenger trains daily, on both long-distance and suburban routes, from 7,349 stations across India. Mail or express trains, the most common types, run at an average speed of 50.6 kilometres per hour.  In the freight segment, IR runs more than 9,200 trains daily. The average speed of freight trains is around 24 kilometres per hour.

The correct answer is D

Key Points

• F - presents an  independent piece of factual information
• A - tells something more about Indian Railways that was introduced in F
• B - adds to the superlative 'the -est' once mentioned in A
• E - introduces passenger train statistics
• 5 - tells about the most common type of passenger trains
• C - introduces the freight segment and tells its numbers
• D - tells about the average speed of each freight train

Thus the correct order is: FABE5CD: Indian Railways (IR) is India's national railway system operated by the Ministry of Railways. It manages the fourth largest railway network in the world by size, with a route length of 67,368 kilometres and total track length of 121,407 kilometres. It is also the world's eighth-largest employer with 1.308 million employees as of March 2017. Indian Railway (IR) runs more than 20,000 passenger trains daily, on both long-distance and suburban routes, from 7,349 stations across India. Mail or express trains, the most common types, run at an average speed of 50.6 kilometres per hour.  In the freight segment, IR runs more than 9,200 trains daily. The average speed of freight trains is around 24 kilometres per hour.

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 following 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 the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

Given expression is

719.99 ÷ 5.98 + 14.95 × 2³ – 59.99 × 1.98 + √14399.99 = ? 

⇒ 720 ÷ 6 + 15 × 23 – 60 × 2 + √14400 = ? 

⇒ 120 + 120 – 120 + √14400 = ? 

⇒ 120 + 120 – 120 + 120 = ?

∴ ? = 240

Calculation:

We have,

[(6.973 × 7.073) / (7.172 × 6.94)3] × 6.978 = 7.13?

⇒ [7³ × 7³ / (7² × 7)³ ] × 7⁸ = 7^?

⇒ [76 / (73)3 ] × 78 = 7?

⇒ [76 / 7⁹ ] × 78 = 7?

⇒ 7⁶ / 7⁹ × 78 = 7?

⇒ 76 + 8 - 9 = 7?

⇒ 7⁵ = 7?

⇒ 5 = ?

⇒ ? = 5

∴ The correct answer is option (4).

Follow the 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 following 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 the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since we need to find out the approximate value, we can write these values to their nearest integers.

Given expression is

(424.14 – 224.34) + (672.86 – 242.85) = ? – (423.23 – 223.56)

⇒ 200 + 430 = ? – 200

⇒ 630 = ? – 200

⇒ 200 + 630= ?

∴ ? = 830

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 following 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 the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

Given expression is

24.97% of 160.05 + 11.02% of 1099.97 = ?² – 3.99% of 200.02

⇒ 25% of 160 + 11% of 1100 = ?² – 4% of 200

⇒ 40 + 121 = ?² - 8

⇒ 169 = ?²

∴ ? = 13

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 following 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 the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be

calculated.

Since we need to find out the approximate value, we can write these values to

their nearest integers.

Given expression is

(67.98 + 32. 034) × (13.2 – 4.67) = ? + (10.98% of 99.06)

⇒ (68 + 32) × (13 – 5)  = ? + (11% of 100)

⇒ 100 × 8 = ? + 11

⇒ 800 – 11 =?

∴ ? = 789

Total number of watches sold by company 'S' in February = 500

Total number of watches sold by company 'T' in February = 1200 - 500 = 700

Total number of watches sold by company 'S' in March = (3/5) × 500 = 300

Total number of watches sold by company 'T' in April = (6/5) × 300 = 360

Let the total number of watches sold by company 'S' in May = 4x

Total number of watches sold by company 'S' in April = 75% × 4x = 3x

 The total number of watches sold by company 'S' in all four months = 3900 - 1700 = 2200

ATQ, 500 + 300 + 3x + 4x = 2200

⇒ 7x = 1400

⇒ x = 200

Total number of watches sold by company 'S' in May = 800

Total number of watches sold by company 'S' in April = 600

Let the total number of watches sold by company 'T' in March = y

Total number of watches sold by company 'T' in May = y + 340

The total number of watches sold by company 'T' in all four months = 1700

Therefore, 700 + y + 360 + y + 340 = 1700

⇒ 2y = 300

⇒ y = 150

Total number of watches sold by company 'T' in March = 150

Total number of watches sold by company 'T' in May = 490

Putting all the values in a table we get

Total revenue generated by company 'S' by selling all the watches in all four months together = 2200 × 175 = 385000 Rs.

Hence, the correct answer is 385000 Rs.

Total number of watches sold by company 'S' in February = 500

Total number of watches sold by company 'T' in February = 1200 - 500 = 700

Total number of watches sold by company 'S' in March = (3/5) × 500 = 300

Total number of watches sold by company 'T' in April = (6/5) × 300 = 360

Let the total number of watches sold by company 'S' in May = 4x

Total number of watches sold by company 'S' in April = 75% × 4x = 3x

 The total number of watches sold by company 'S' in all four months = 3900 - 1700 = 2200

ATQ, 500 + 300 + 3x + 4x = 2200

⇒ 7x = 1400

⇒ x = 200

Total number of watches sold by company 'S' in May = 800

Total number of watches sold by company 'S' in April = 600

Let the total number of watches sold by company 'T' in March = y

Total number of watches sold by company 'T' in May = y + 340

The total number of watches sold by company 'T' in all four months = 1700

Therefore, 700 + y + 360 + y + 340 = 1700

⇒ 2y = 300

⇒ y = 150

Total number of watches sold by company 'T' in March = 150

Total number of watches sold by company 'T' in May = 490

Putting all the values in a table we get

Required ratio = 800 : 700 = 8 : 7

Hence, the correct answer is 8 : 7.

Total number of watches sold by company 'S' in February = 500

Total number of watches sold by company 'T' in February = 1200 - 500 = 700

Total number of watches sold by company 'S' in March = (3/5) × 500 = 300

Total number of watches sold by company 'T' in April = (6/5) × 300 = 360

Let the total number of watches sold by company 'S' in May = 4x

Total number of watches sold by company 'S' in April = 75% × 4x = 3x

 The total number of watches sold by company 'S' in all four months = 3900 - 1700 = 2200

ATQ, 500 + 300 + 3x + 4x = 2200

⇒ 7x = 1400

⇒ x = 200

Total number of watches sold by company 'S' in May = 800

Total number of watches sold by company 'S' in April = 600

Let the total number of watches sold by company 'T' in March = y

Total number of watches sold by company 'T' in May = y + 340

The total number of watches sold by company 'T' in all four months = 1700

Therefore, 700 + y + 360 + y + 340 = 1700

⇒ 2y = 300

⇒ y = 150

Total number of watches sold by company 'T' in March = 150

Total number of watches sold by company 'T' in May = 490

Putting all the values in a table we get

Total number of watches sold in April, May, and June by company 'T' = 390 × 3 = 1170

Number of watches sold in June by company 'T' = 1170 - (360 + 490) = 320

Hence, the correct answer is 320.

Total number of watches sold by company 'S' in February = 500

Total number of watches sold by company 'T' in February = 1200 - 500 = 700

Total number of watches sold by company 'S' in March = (3/5) × 500 = 300

Total number of watches sold by company 'T' in April = (6/5) × 300 = 360

Let the total number of watches sold by company 'S' in May = 4x

Total number of watches sold by company 'S' in April = 75% × 4x = 3x

 The total number of watches sold by company 'S' in all four months = 3900 - 1700 = 2200

ATQ, 500 + 300 + 3x + 4x = 2200

⇒ 7x = 1400

⇒ x = 200

Total number of watches sold by company 'S' in May = 800

Total number of watches sold by company 'S' in April = 600

Let the total number of watches sold by company 'T' in March = y

Total number of watches sold by company 'T' in May = y + 340

The total number of watches sold by company 'T' in all four months = 1700

Therefore, 700 + y + 360 + y + 340 = 1700

⇒ 2y = 300

⇒ y = 150

Total number of watches sold by company 'T' in March = 150

Total number of watches sold by company 'T' in May = 490

Putting all the values in a table we get

The average number of watches sold in March and April by company 'S' = (300 + 600)/2 = 450

Hence, the correct answer is 450.

Total number of watches sold by company 'S' in February = 500

Total number of watches sold by company 'T' in February = 1200 - 500 = 700

Total number of watches sold by company 'S' in March = (3/5) × 500 = 300

Total number of watches sold by company 'T' in April = (6/5) × 300 = 360

Let the total number of watches sold by company 'S' in May = 4x

Total number of watches sold by company 'S' in April = 75% × 4x = 3x

 The total number of watches sold by company 'S' in all four months = 3900 - 1700 = 2200

ATQ, 500 + 300 + 3x + 4x = 2200

⇒ 7x = 1400

⇒ x = 200

Total number of watches sold by company 'S' in May = 800

Total number of watches sold by company 'S' in April = 600

Let the total number of watches sold by company 'T' in March = y

Total number of watches sold by company 'T' in May = y + 340

The total number of watches sold by company 'T' in all four months = 1700

Therefore, 700 + y + 360 + y + 340 = 1700

⇒ 2y = 300

⇒ y = 150

Total number of watches sold by company 'T' in March = 150

Total number of watches sold by company 'T' in May = 490

Putting all the values in a table we get

Total number of watches sold by both 'S' and 'T' together in April month = 960

Hence, the correct answer is 960.

Shortcut Trick

Rectangle breadth : length = 3 : 4. Area = 3x × 4x = 12x² = 147.

⇒ x² = 12.25 ⇒ x = 3.5. Length (Side of square) = 4 × 3.5 = 14 cm.

Area of square = 14² = 196 cm².

Area of circle = (11/14) × 196 = 154 cm².

Since πr² = 154 and for r = 7, πr² is always 154, the radius is 7 cm.

∴ The correct answer is 7 cm.

Alternate Method

Given: Ratio of breadth to length of rectangle = 3 : 4, Area of rectangle = 147 cm², Side of square = Length of rectangle.

⇒ Let breadth (b) = 3x and length (l) = 4x.

⇒ Area = l × b = 4x × 3x = 12x² = 147

⇒ x² = 147 ÷ 12 = 12.25 ⇒ x = 3.5

⇒ Length of rectangle (l) = 4 × 3.5 = 14 cm.

⇒ Side of square (s) = 14 cm. Area of square = s² = 14 × 14 = 196 cm².

⇒ Area of circle : Area of square = 11 : 14

⇒ Area of circle = (11 ÷ 14) × 196 = 11 × 14 = 154 cm².

⇒ πr² = 154 ⇒ (22 ÷ 7) × r² = 154

⇒ r² = (154 × 7) ÷ 22 = 7 × 7 = 49

⇒ r = √49 = 7 cm.

∴ The correct answer is 7 cm.

Additional Information

Circle Mensuration

Area of circle = πr² and Circumference = 2πr. For r = 7, Area is always 154 and Circumference is 44.

Square and Rectangle

Area of Square = side². Area of Rectangle = length × breadth.

Common Ratios

If the side of a square is 2r, the ratio of the area of the inscribed circle to the square is π : 4 ≈ 11 : 14.

Shortcut Trick

Ratio of Speed (S₁ : S₂) = 60 : (60 − 20) = 60 : 40 = 3 : 2.

Since Distance is constant, Time Ratio is inverse of Speed Ratio = 2 : 3.

Difference in time ratio parts = 3 − 2 = 1 unit → 2 hours.

Original time (2 units) = 2 × 2 = 4 hours.

Distance = Original Speed × Original Time = 60 kmph × 4 hours = 240 km.

∴ The correct answer is 240 km.

Alternate Method

Given:

Initial speed (S₁) = 60 kmph

Reduced speed (S₂) = 60 − 20 = 40 kmph

Time difference (Δt) = 2 hours

Formula Used:

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

Calculations:

⇒ D = [60 × 40 ÷ (60 − 40)] × 2

⇒ D = [2400 ÷ 20] × 2

⇒ D = 120 × 2

⇒ D = 240 km

∴ The correct answer is 240 km.

Additional Information

Inversely Proportional Relation

When distance is constant, speed is inversely proportional to time (S ∝ 1/T). This means S₁/S₂ = T₂/T₁.

Average Speed

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

Relative Speed

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

Shortcut Trick

Work done by A and B in 20 days = 20 ÷ 30 = 2/3 part.

Remaining work = 1 − 2/3 = 1/3 part.

A finishes 1/3 part in 15 days.

A alone can finish full work in = 15 × 3 = 45 days.

∴ The correct answer is 45 days.

Alternate Method

⇒ Total Work = 30 units (assumed LCM based on given combined days).

⇒ Combined efficiency of (A + B) = 1 unit/day.

⇒ Work done by (A + B) in 20 days = 1 × 20 = 20 units.

⇒ Remaining Work = 30 − 20 = 10 units.

⇒ Efficiency of A = Remaining Work ÷ Days taken = 10 ÷ 15 = 2/3 unit/day.

⇒ Time taken by A alone = Total Work ÷ Efficiency of A = 30 ÷ (2/3) = 30 × (3/2).

⇒ Time taken by A = 45 days.

∴ The correct answer is 45 days.

Additional Information

Efficiency and Time Relationship

Efficiency is inversely proportional to time. If efficiency ratio is x:y, then time ratio is y:x for the same work.

Work Equation

Total Work = Efficiency × Time. This core formula allows finding any unknown when two variables are known.

Man-Days Concept

M₁D₁ = M₂D₂ can be used when the same group of people works with constant efficiency.

Shortcut Trick

Ratio of final quantity to initial quantity of milk = (1 − x/60)ⁿ

48.6 ÷ 60 = (1 − x/60)²

0.81 = (1 − x/60)² ⇒ √0.81 = 1 − x/60

0.9 = 1 − x/60 ⇒ x/60 = 0.1

x = 6 litres

∴ The correct answer is 6 litres.

Alternate Method

Given:

Initial quantity (C) = 60 litres

Final quantity (F) = 48.6 litres

Number of operations (n) = 2

Formula Used:

F = C × (1 − x/C)ⁿ

Calculations:

⇒ 48.6 = 60 × (1 − x/60)²

⇒ 48.6 ÷ 60 = (1 − x/60)²

⇒ 486 ÷ 600 = (1 − x/60)²

⇒ 81 ÷ 100 = (1 − x/60)²

⇒ √(81/100) = 1 − x/60

⇒ 9/10 = 1 − x/60

⇒ x/60 = 1 − 0.9 = 0.1

⇒ x = 60 × 0.1 = 6 litres

∴ The correct answer is 6 litres.

Additional Information

Removal and Replacement Formula

The formula for final quantity is F = C(1 − x/C)ⁿ where C is initial capacity, x is quantity replaced, and n is iterations.

Ratio Method

If 1/k portion is removed, the remaining milk ratio after n times is (1 − 1/k)ⁿ. For n=2, if the ratio is 81/100, the single step ratio is 9/10.

Successive Percentage Change

This process is an application of successive percentage decrease where the value decreases by (x/C × 100)% each time.

Shortcut Trick

Given ratio of Nitin and Mayuri ages = 5 : 6.

Checking the second condition: (1/3 × 5x) : (1/2 × 6x) = (5x/3) : 3x = 5 : 9.

Since the second condition is derived directly from the first ratio, the equations are dependent.

We have two variables but only one independent equation.

∴ The correct answer is Can't be determined.

Alternate Method

Given: Ratio of ages of Nitin (N) and Mayuri (M) = 5 : 6

⇒ Let N = 5x and M = 6x

Condition: (1/3 × N) : (1/2 × M) = 5 : 9

⇒ (5x/3) / (6x/2) = 5 / 9

⇒ (5x/3) / 3x = 5 / 9

⇒ 5x / 9x = 5 / 9

⇒ 5/9 = 5/9

The variable x cancels out, meaning no specific value for x can be found.

∴ The correct answer is Can't be determined.

Additional Information

Consistency of Equations

To solve for n variables, we require n independent linear equations. If equations are dependent, infinite solutions exist.

Ratio and Proportion

A ratio alone does not provide absolute values unless at least one absolute quantity or a sum/difference is provided.

Let the number of 'international' videos downloaded from each website 'A', 'B', and 'E' = x 

Total number of 'regional' videos download from websites 'A', 'B', and 'E' together = 8 + 17 + 10 = 35

Total number of 'international' videos download from websites 'A', 'B', and 'E' together = 3x

Total number of videos 'downloaded' from websites 'A', 'B', and 'E' together = 335

Therefore, 35 + 3x = 335

⇒ 3x = 300

⇒ x = 100

The average number of 'international' videos downloaded from each of the given websites = x = 100

Hence, the correct answer is 100.

Number of 'regional' videos downloaded from website 'F' = (17/16) × 16 = 17

Number of 'international' videos downloaded from website 'F' = 17 + 326 = 343

Let the total number of 'viewed' videos on website 'F' = 100x

Total number of 'videos' downloaded from the website 'F' = 30% × 100x = 30x

ATQ, 30x = 17 + 343

⇒ 100x = 1200

The total number of 'viewed' videos on website 'F' = 1200

Total data consumed by person 'X' if he views all the 'videos' of website 'F = 1200 × 250 = 300000 MB = 300 GB

Hence, the correct answer is 300 GB.

Let the total number of 'viewed' videos on website 'C' = 100x

Total number of 'downloaded' videos from website 'C' = 72% × 100x = 72x

Difference between the total number of 'viewed' videos on website 'C' and the number of 'international' videos downloaded from the same website is 187.

Therefore, the number of 'international' videos downloaded from website 'C' = 100x - 187

Number of 'regional' videos downloaded from website 'C' = 72x - (100x -187) = 187 - 28x 

ATQ, 187 - 28x = 19

⇒ x = 6

Total number of 'downloaded' videos from website 'C' = 72x = 432

Number of 'videos' from website 'C' which were stored in the hard disk = 432 × 75% = 324

Hence, the correct answer is 324.

Total number of 'international' videos downloaded from website 'B' = 153

Total number of 'videos' downloaded from website 'B' = 153 + 17 = 170

Let the total number of 'viewed' videos on website 'B' = 100x

ATQ, 40x = 170

⇒ 100x = 425

Total number of 'viewed' videos on website 'B' = 425

Similarly, total number of 'videos' downloaded from website 'D' = 164 + 16 = 180

Let the total number of 'viewed' videos on website 'D' = 100y

ATQ, 60y = 180

⇒ 100y = 300

Total number of 'viewed' videos on website 'D' = 300

Total number of 'viewed' videos on website 'B' and 'D' together = 425 + 300 = 725

Total number of 'regional' videos downloaded from websites 'A', 'B', 'C' and 'D' together = 8 + 17 + 19 + 16 = 60

Required ratio = 725 : 60 = 145 : 12

Hence, the correct answer is 145 : 12.

Let the total number of 'viewed' videos on the website 'E' = 100x

Total number of 'viewed' videos on website 'A' = 250% × 100x = 250x

Total number of downloaded videos from website 'E' = 50% × 100x = 50x

Total number of downloaded videos from website 'A' = 250x × 30% = 75x

Total number of videos downloaded from websites 'A' and 'E' together = 250

ATQ, 50x + 75x = 250

⇒ x = 2

Total number of 'international' videos downloaded from website 'E' = 50x - 10 = 90

Total number of 'international' videos downloaded from website 'A' = 75x - 8 = 142

Total number of 'international' videos downloaded from websites 'A' and 'E' together = 90 + 142 = 232

Hence, the correct answer is 232.

Considering the given series

12, 13, 28, 88, 352, 1765

The logic of the given series can be explained as

12 × 1 + 1 = 13

13 × 2 + 2 = 28

28 × 3 + 3 = 87

87 × 4 + 4= 352

352 × 5 + 5 = 1765

∴ The wrong term in the given number series is 88.

16 × 1 + 1² = 17

17 × 2 + 2² = 38

38 × 3 + 3² = 123

123 × 4 + 4² = 508

508 × 5 + 5² = 2565

∴ Wrong term in given number series is 510.

Calculation:

The given number series follows this pattern:

2 × 1 = 2

2 × 2 = 4

4 × 3 = 12

12 × 4 = 48

48 × 5 = 240

240 × 6 = 1440

∴ The wrong number in the given series is 200.

The series follows the following pattern:

11

11 + 14 = 25

25 + 28 = 53 ≠ 63

53 + 56 = 109

109 + 112 = 221

221 + 224 = 445

∴ The wrong number is 63

11, 25, 53, 109, 221, 445

    14, 28, 56, 112, 224

      × 2   × 2   × 2   × 2

∴ The wrong number is 675

Shortcut Trick

Cumulative rate for 3 years = 7% + (7+2)% + (9+2)% = 7% + 9% + 11% = 27%

Total interest = 27% of Principal = ₹10,260

1% of Principal = 10,260 ÷ 27 = ₹380

Principal (100%) = 380 × 100 = ₹38,000

∴ The correct answer is ₹38,000.

Alternate Method

Given:

Rate for 1st year (R₁) = 7%

Rate for 2nd year (R₂) = 7 + 2 = 9%

Rate for 3rd year (R₃) = 9 + 2 = 11%

Total Simple Interest (SI) = ₹10,260

Formula Used:

Total SI = P × (R₁ + R₂ + R₃) ÷ 100

Calculations:

⇒ 10,260 = P × (7 + 9 + 11) ÷ 100

⇒ 10,260 = P × (27 ÷ 100)

⇒ P = (10,260 × 100) ÷ 27

⇒ P = 380 × 100

⇒ P = 38,000

∴ The correct answer is ₹38,000.

Additional Information

Variable Simple Interest

When interest rates change annually, total SI is calculated by summing individual interests: SI = (P×R₁×T₁)/100 + (P×R₂×T₂)/100 + ...

Effective Rate of Simple Interest

The overall percentage interest is simply the arithmetic sum of rates if the principal remains constant over equal time periods.

Simple Interest vs Amount

Amount (A) = Principal (P) + Simple Interest (SI). In SI, interest is only calculated on the initial principal every period.

Shortcut Trick

Let current speed be v. Difference in time = [Distance ÷ (u − v)] − [Distance ÷ (u + v)] = 10.

200 ÷ (48 − v) − 200 ÷ (48 + v) = 10 ⇒ 20 ÷ (48 − v) − 20 ÷ (48 + v) = 1.

By Option Verification, if v = 32:

20 ÷ (48 − 32) − 20 ÷ (48 + 32) = 20 ÷ 16 − 20 ÷ 80 = 1.25 − 0.25 = 1. (Satisfied)

∴ The correct answer is 32 m/min.

Alternate Method

Given: Speed of man (u) = 48 m/min, Distance (D) = 200 m, Time difference (Δt) = 10 min.

Formula Used: Time = Distance ÷ Speed; Upstream speed = u − v; Downstream speed = u + v.

⇒ 200 ÷ (48 − v) − 200 ÷ (48 + v) = 10

⇒ 200 × [(48 + v − (48 − v)) ÷ (48² − v²)] = 10

⇒ 20 × [2v ÷ (2304 − v²)] = 1

⇒ 40v = 2304 − v²

⇒ v² + 40v − 2304 = 0

⇒ v² + 72v − 32v − 2304 = 0

⇒ v(v + 72) − 32(v + 72) = 0

⇒ (v − 32)(v + 72) = 0

⇒ v = 32 m/min (Speed cannot be negative)

∴ The correct answer is 32 m/min.

Additional Information

Relative Speed in Water

Downstream Speed = Speed of boat in still water + Speed of stream. Upstream Speed = Speed of boat in still water − Speed of stream.

Average Speed for Round Trip

Average speed = (u² − v²) ÷ u, where u is boat speed and v is stream speed.

Still Water Speed Calculation

Speed in still water = (Downstream speed + Upstream speed) ÷ 2.

Shortcut Trick

Total profit = 40000, Chittu's share = 15000 ⇒ Combined share of Chotu and Bittu = 25000.

Profit ratio (Chotu+Bittu : Chittu) = 25000 : 15000 = 5 : 3.

Investment × Time ratio: (50000×12 + 80000×12) : (X×8) = 5 : 3.

130000 × 12 : 8X = 5 : 3.

1560000 ÷ 8X = 5 ÷ 3 ⇒ 40X = 4680000 ⇒ X = 117000.

∴ The correct answer is Rs. 117000.

Alternate Method

Given: Chotu's investment = 50000, Bittu's investment = 80000, Chittu's investment = X, Time for Chotu/Bittu = 12 months, Time for Chittu = 8 months, Total Profit = 40000, Chittu's Profit = 15000.

Formulas: Profit Ratio = (Investment₁ × Time₁) : (Investment₂ × Time₂)

⇒ Total investment-months for Chotu = 50000 × 12 = 6,00,000

⇒ Total investment-months for Bittu = 80000 × 12 = 9,60,000

⇒ Total investment-months for Chittu = X × 8 = 8X

⇒ Ratio of profits = 6,00,000 : 9,60,000 : 8X = 75,000 : 1,20,000 : X

⇒ Chittu's profit share = [8X ÷ (600000 + 960000 + 8X)] × 40000 = 15000

⇒ 8X ÷ (1560000 + 8X) = 15000 ÷ 40000 = 3/8

⇒ 64X = 3(1560000 + 8X) ⇒ 64X = 4680000 + 24X

⇒ 40X = 4680000 ⇒ X = 117000

∴ The correct answer is Rs. 117000.

Additional Information

Partnership Basics

In a partnership, the profit is distributed among partners in the ratio of the product of their investment and the time period for which the investment was made.

Effective Investment

When time periods differ, calculate the equivalent investment for 1 unit of time (usually months) to find the profit-sharing ratio.

Shortcut Trick

Bike Selling Price (SP) = 13200 × (100 − 18)% = 13200 × 0.82.

Since Bike SP = Mobile Cost Price (CP), Mobile CP = 10824.

Required Mobile Selling Price for 50% profit = 10824 × 1.5.

Final SP = 10824 + 5412 = 16236.

∴ The correct answer is Rs. 16236.

Alternate Method

Given: Bike CP = Rs. 13200, Loss% = 18%, Mobile Profit% = 50%. Formulas: SP = CP × (100 − Loss%) ÷ 100 | SP = CP × (100 + Profit%) ÷ 100

⇒ Bike Selling Price = 13200 × (100 − 18) ÷ 100 ⇒ Bike SP = 13200 × 82 ÷ 100 = 132 × 82 = Rs. 10824. ⇒ According to the question, Mobile Cost Price = Bike SP = Rs. 10824. ⇒ Required Mobile Selling Price = 10824 × (100 + 50) ÷ 100 ⇒ Mobile SP = 10824 × 1.5 = Rs. 16236.

∴ The correct answer is Rs. 16236.

Additional Information

Cost Price and Selling Price Relationship

When a series of transactions occur where the SP of one item equals the CP of another, the values can be chained using multipliers.

Percentage Calculations

A 50% profit implies the final value is 1.5 times the original value (100% + 50%).

Shortcut Trick

By Alligation Method:

Ratio of Tech Leads to Freshers = (2000 − 1200) : (5500 − 2000) = 800 : 3500 = 8 : 35

Given, 8 units (Tech Leads) = 16

⇒ 1 unit = 2

⇒ 35 units (Freshers) = 35 × 2 = 70

∴ The correct answer is 70 freshers.

Alternate Method

Given:

Average salary of Tech Leads = Rs. 5500

Average salary of Freshers = Rs. 1200

Average salary of all staff = Rs. 2000

Number of Tech Leads = 16

Calculations:

Let the number of freshers be x.

⇒ Total salary = Average × Total number of staff

⇒ 5500 × 16 + 1200 × x = 2000 × (16 + x)

⇒ 88000 + 1200x = 32000 + 2000x

⇒ 88000 − 32000 = 2000x − 1200x

⇒ 56000 = 800x

⇒ x = 56000 ÷ 800

⇒ x = 70

∴ The correct answer is 70 freshers.

Additional Information

Alligation Rule

It is used to find the ratio in which two ingredients at given prices must be mixed to produce a mixture at a given price. Ratio = (Dearer Price − Mean Price) : (Mean Price − Cheaper Price).

Weighted Average

When groups with different sizes (n₁, n₂) and averages (a₁, a₂) are combined, the average A = (n₁a₁ + n₂a₂) ÷ (n₁ + n₂).

Total number of applicants who passed their driving license test for 'Two wheelers' = 63% × (360 + 240) = 378

Total number of applicants who passed their driving license test for 'LMV' = 54% × (245 + 205) = 243

Total number of applicants who passed their driving license test for 'HMV' = 37.5% × (216 + 168) = 144

Total number of applicants who passed all three driving license tests = 378 + 243 + 144 = 765

Let the number of 'male' applicants who passed all three driving license tests = M

ATQ, M + F = 765...(i)

And, M - F = 135...(ii)

Adding (i) and (ii)

⇒ 2M = 765 + 135

⇒ M = 450 

Number of 'male' applicants who passed all three driving license tests = 450

Number of 'male' applicants who passed the 'Two wheelers' and 'HMV' driving license tests = 450 - 176 = 274

Required average = 274/2 = 137

Hence, the correct answer is 137.

Total number of applicants who passed their driving license test for 'HMV' = 37.5% × (216 + 168) = 144

Number of applicants who failed in 'LMV' driving license test = (245 + 205) × 46% = 207

Required ratio = 144 : 207 = 16 : 23

Hence, the correct answer is 16 : 23.

Number of applicants who failed in 'LMV' driving license test = (245 + 205) × 46% = 207

Number of male applicants who were rejected for 'LMV' driving license test = (5/9) × 207 = 115

number of 'male' applicants who were rejected in 'LMV' driving license test due to failure in 'written' round = 115 × 40% = 46

Hence, the correct answer is 46.

Number of applied who passed their 'Two wheelers' driving license test = 63% × (360 + 240) = 378

Number of female applicants who passed in their 'Two wheelers' driving license test = (5/14) × 378 = 135

Number of female applicants who failed in their 'Two wheelers' driving license test = 240 - 135 = 105

Number of total applicants who failed in their 'Two wheelers' driving license test = (360 + 240) - 378 = 222

Required% = (105/222) × 100 = 47.29%

Hence, the correct answer is 47.29%.

Total number of applicants who failed in driving license test for 'HMV' = 62.5% × (216 + 168) = 240

Number of applicants for applied again for 'HMV' driving license test = 80% × 240 = 192

Number of female applicants who applied again for 'HMV' driving license test = (5/12) × 192 = 80

Number of 'female' applicants who failed in their second driving license test test attempt = 80 × 65% = 52

Hence, the correct answer is 52.

Seven person Y, W, U, V, Z, X and T.

Some of them are facing inside and some of them are facing outside the direction of the circle.

1- Y is sitting second to the left of W. 

2- T is sitting fifth to the left of Y. 

3- T is facing in opposite direction as Y. 

4- One person sits between Y and T. 

Case-1

Case-2

5- Z is sitting immediate left of T. 

6- Z is facing is same direction as W. 

7- X is sitting Second to the right of Z. 

Case-1

Case-2

8- X faced away from the center.

9- Both the neighbour of Y face in opposite direction from Y. So, case-1 gets eliminated.

10- One person sits between U and V from left of V.

So, Final arrangement;

All are facing the outside the direction of the circle, except Y.

Hence, Y is the correct answer.

Seven person Y, W, U, V, Z, X and T.

Some of them are facing inside and some of them are facing outside the direction of the circle.

1- Y is sitting second to the left of W. 

2- T is sitting fifth to the left of Y. 

3- T is facing in opposite direction as Y. 

4- One person sits between Y and T. 

Case-1

Case-2

5- Z is sitting immediate left of T. 

6- Z is facing is same direction as W. 

7- X is sitting Second to the right of Z. 

Case-1

Case-2

8- X faced away from the center.

9- Both the neighbour of Y face in opposite direction from Y. So, case-1 gets eliminated.

10- One person sits between U and V from left of V.

So, Final arrangement;

Hence, T is the third to the right of W is the correct answer.

Seven person Y, W, U, V, Z, X and T.

Some of them are facing inside and some of them are facing outside the direction of the circle.

1- Y is sitting second to the left of W. 

2- T is sitting fifth to the left of Y. 

3- T is facing in opposite direction as Y. 

4- One person sits between Y and T. 

Case-1

Case-2

5- Z is sitting immediate left of T. 

6- Z is facing is same direction as W. 

7- X is sitting Second to the right of Z. 

Case-1

Case-2

8- X faced away from the center.

9- Both the neighbour of Y face in opposite direction from Y. So, case-1 gets eliminated.

10- One person sits between U and V from left of V.

So, Final arrangement;

Hence, four persons sit between U and V when counted from the left of U.

Seven person Y, W, U, V, Z, X and T.

Some of them are facing inside and some of them are facing outside the direction of the circle.

1- Y is sitting second to the left of W. 

2- T is sitting fifth to the left of Y. 

3- T is facing in opposite direction as Y. 

4- One person sits between Y and T. 

Case-1

Case-2

5- Z is sitting immediate left of T. 

6- Z is facing is same direction as W. 

7- X is sitting Second to the right of Z. 

Case-1

Case-2

8- X faced away from the center.

9- Both the neighbour of Y face in opposite direction from Y. So, case-1 gets eliminated.

10- One person sits between U and V from left of V.

So, Final arrangement;

Hence, U is sitting immediate left of Y.

Seven person Y, W, U, V, Z, X and T.

Some of them are facing inside and some of them are facing outside the direction of the circle.

1- Y is sitting second to the left of W. 

2- T is sitting fifth to the left of Y. 

3- T is facing in opposite direction as Y. 

4- One person sits between Y and T. 

Case-1

Case-2

5- Z is sitting immediate left of T. 

6- Z is facing is same direction as W. 

7- X is sitting Second to the right of Z. 

Case-1

Case-2

8- X faced away from the center.

9- Both the neighbour of Y face in opposite direction from Y. So, case-1 gets eliminated.

10- One person sits between U and V from left of V.

So, Final arrangement;

hence third to the right is correct answer

The given information is:

'must respect old rules' is code for 'za la ka ga',

'we respect the elders' is code for 'za fa sa na ,

'we must be elders' is code for ' na la da sa' ,

'be elders respect younger' is code for 'wa sa za da'.

The code for 'must' is 'la'.

The code for 'respect' is 'za'.

The code for 'we' is 'na'.

The code for 'elders' is 'sa'.

The code for 'the' is 'fa'. 

The code for 'be'  is 'da'. 

The code for 'younger' is 'wa'.

The code for 'old rules' is ' ka ga'. 

Hence, Code for 'respect' is 'za'.

The given information is:

'must respect old rules' is code for 'za la ka ga',

'we respect the elders' is code for 'za fa sa na ,

'we must be elders' is code for ' na la da sa' ,

'be elders respect younger' is code for 'wa sa za da'.

The code for 'must' is 'la'.

The code for 'respect' is 'za'.

The code for 'we' is 'na'.

The code for 'elders' is 'sa'.

The code for 'the' is 'fa'. 

The code for 'be'  is 'da'. 

The code for 'younger' is 'wa'.

The code for 'old rules' is ' ka ga'. 

Given 'respect must old' is 'za la ga' therefore code for "old" is "ga"

Hence, Code for 'rules' is 'ka'.

The given information is:

'must respect old rules' is code for 'za la ka ga',

'we respect the elders' is code for 'za fa sa na ,

'we must be elders' is code for ' na la da sa' ,

'be elders respect younger' is code for 'wa sa za da'.

The code for 'must' is 'la'.

The code for 'respect' is 'za'.

The code for 'we' is 'na'.

The code for 'elders' is 'sa'.

The code for 'the' is 'fa'. 

The code for 'be'  is 'da'. 

The code for 'younger' is 'wa'.

The code for 'old rules' is ' ka ga'. 

Hence, 'ga' code represents either 'old' or 'rules'.

The given information is:

'must respect old rules' is code for 'za la ka ga',

'we respect the elders' is code for 'za fa sa na ,

'we must be elders' is code for ' na la da sa' ,

'be elders respect younger' is code for 'wa sa za da'.

The code for 'must' is 'la'.

The code for 'respect' is 'za'.

The code for 'we' is 'na'.

The code for 'elders' is 'sa'.

The code for 'the' is 'fa'. 

The code for 'be'  is 'da'. 

The code for 'younger' is 'wa'.

The code for 'old rules' is ' ka ga'. 

Hence, Code for "la na za sa'.

The given information is:

'must respect old rules' is code for 'za la ka ga',

'we respect the elders' is code for 'za fa sa na ,

'we must be elders' is code for ' na la da sa' ,

'be elders respect younger' is code for 'wa sa za da'.

The code for 'must' is 'la'.

The code for 'respect' is 'za'.

The code for 'we' is 'na'.

The code for 'elders' is 'sa'.

The code for 'the' is 'fa'. 

The code for 'be'  is 'da'. 

The code for 'younger' is 'wa'.

The code for 'old rules' is ' ka ga'. 

Hence, 'da' code represents word 'be'.

Five People: A, B, C, D and E.

Matches: 52, 39, 16, 75, 46.

Months: January, April, May, June, and August

1- The one who played 46 matches played in the month of having 30 days.

2- Only one person played between the one who played 46 and D.

3- Only one person played between C and D.

4- E played the matches just before C.

5- The one who played 75 matches played at last.

6- The one who played 16 matches played just before the one who played 46 matches.

7- A played before B.

8- More than 2 People played between E and B. So, case-2 gets eliminated.

So, Final arrangement,

Hence, Either A and D played 52 matches.

Five People: A, B, C, D and E.

Matches: 52, 39, 16, 75, 46

Months: January, April, May, June, and August

1- The one who played 46 matches played in the month of having 30 days.

2- Only one person played between the one who played 46 and D.

3- Only one person played between C and D.

4- E played the matches just before C.

5- The one who played 75 matches played at last.

6- The one who played 16 matches played just before the one who played 46 matches.

7- A played before B.

8- more than 2 People played between E and B. So, case-2 gets eliminated.

So, Final arrangement,

Hence, E played the least number of matches.

Five People: A, B, C, D and E.

Matches: 52, 39, 16, 75, 46

Months: January, April, May, June, and August

1- The one who played 46 matches played in the month of having 30 days.

2- Only one person played between the one who played 46 and D.

3- Only one person played between C and D.

4- E played the matches just before C.

5- The one who played 75 matches played at last.

6- The one who played 16 matches played just before the one who played 46 matches.

7- A played before B.

8- more than 2 People played between E and B. So, case-2 gets eliminated.

So, Final arrangement,

Hence, B played 75 matches.

Five People: A, B, C, D and E.

Matches: 52, 39, 16, 75, 46

Months: January, April, May, June, and August

1- The one who played 46 matches played in the month of having 30 days.

2- Only one person played between the one who played 46 and D.

3- Only one person played between C and D.

4- E played the matches just before C.

5- The one who played 75 matches played at last.

6- The one who played 16 matches played just before the one who played 46 matches.

7- A played before B.