SBI PO Prelims Memory Based Paper (Held on:24 June 2018 (Previous Year Paper)

The correct answer is B

Key Points

• Let's analyze the logical flow of the passage to ascertain the correct order of the sentences:
• A. Over the past year, perceptions of relative U.S. economic power have declined in many of America’s key trading partners and allies: Since this statement talks about the 'past year',
• E. The trend can be seen in several European countries, where views about the economic balance of power have fluctuated in recent years: Since this statement talks about the 'trend' mentioned in statement A and also talks about how the perception has 'fluctuated' in European countries,
• B. Following the onset of the financial crisis nearly a decade ago, Europeans increasingly named China, rather than the U.S., as the world’s leading economic power: Since this statement talks about what happened a decade (ten years) ago.
• D. But in recent years, as the American economy slowly recovered, the pendulum began to swing back in the direction of the U.S.: This statement not only talks about the 'recent years' but also starts with 'But', thus indicating a contrasting comparison.
• C. This year, however, the pattern has reversed itself again, and in countries such as Germany, the United Kingdom, and Spain, China is once more seen as occupying the top spot: Since this statement talks about the most recent time period, that is, 'this year', this should be the concluding sentence.

Thus the correct order of sentences is: Over the past year, perceptions of relative US economic power have declined in many of America's key trading partners and allies. The trend can be seen in several European countries, where views about the economic balance of power have fluctuated in recent years. following the onset of the financial crisis nearly a decade ago, Europeans increasingly named China, rather than the US, as the world's leading economic power. But in recent years, as the American economy slowly recovered, the pendulum began to swing back in the direction of the US. This year, however, the pattern has reversed itself again, and in countries such as Germany, the United Kingdom, and Spain, China is once more seen as occupying the top spot.

The correct answer is A

Key Points

• Let's analyze the logical flow of the passage to ascertain the correct order of the sentences:
• A. Over the past year, perceptions of relative U.S. economic power have declined in many of America’s key trading partners and allies: Since this statement talks about the 'past year',
• E. The trend can be seen in several European countries, where views about the economic balance of power have fluctuated in recent years: Since this statement talks about the 'trend' mentioned in statement A and also talks about how the perception has 'fluctuated' in European countries,
• B. Following the onset of the financial crisis nearly a decade ago, Europeans increasingly named China, rather than the U.S., as the world’s leading economic power: Since this statement talks about what happened a decade (ten years) ago.
• D. But in recent years, as the American economy slowly recovered, the pendulum began to swing back in the direction of the U.S.: This statement not only talks about the 'recent years' but also starts with 'But', thus indicating a contrasting comparison.
• C. This year, however, the pattern has reversed itself again, and in countries such as Germany, the United Kingdom, and Spain, China is once more seen as occupying the top spot: Since this statement talks about the most recent time period, that is, 'this year', this should be the concluding sentence.

Thus the correct order of sentences is: Over the past year, perceptions of relative US economic power have declined in many of America's key trading partners and allies. The trend can be seen in several European countries, where views about the economic balance of power have fluctuated in recent years. following the onset of the financial crisis nearly a decade ago, Europeans increasingly named China, rather than the US, as the world's leading economic power. But in recent years, as the American economy slowly recovered, the pendulum began to swing back in the direction of the US. This year, however, the pattern has reversed itself again, and in countries such as Germany, the United Kingdom, and Spain, China is once more seen as occupying the top spot.

The correct answer is E

Key Points

• Let's analyze the logical flow of the passage to ascertain the correct order of the sentences:
• A. Over the past year, perceptions of relative U.S. economic power have declined in many of America’s key trading partners and allies: Since this statement talks about the 'past year',
• E. The trend can be seen in several European countries, where views about the economic balance of power have fluctuated in recent years: Since this statement talks about the 'trend' mentioned in statement A and also talks about how the perception has 'fluctuated' in European countries,
• B. Following the onset of the financial crisis nearly a decade ago, Europeans increasingly named China, rather than the U.S., as the world’s leading economic power: Since this statement talks about what happened a decade (ten years) ago.
• D. But in recent years, as the American economy slowly recovered, the pendulum began to swing back in the direction of the U.S.: This statement not only talks about the 'recent years' but also starts with 'But', thus indicating a contrasting comparison.
• C. This year, however, the pattern has reversed itself again, and in countries such as Germany, the United Kingdom, and Spain, China is once more seen as occupying the top spot: Since this statement talks about the most recent time period, that is, 'this year', this should be the concluding sentence.

Thus the correct order of sentences is: Over the past year, perceptions of relative US economic power have declined in many of America's key trading partners and allies. The trend can be seen in several European countries, where views about the economic balance of power have fluctuated in recent years. following the onset of the financial crisis nearly a decade ago, Europeans increasingly named China, rather than the US, as the world's leading economic power. But in recent years, as the American economy slowly recovered, the pendulum began to swing back in the direction of the US. This year, however, the pattern has reversed itself again, and in countries such as Germany, the United Kingdom, and Spain, China is once more seen as occupying the top spot.

The correct answer is C

Key Points

• Let's analyze the logical flow of the passage to ascertain the correct order of the sentences:
• A. Over the past year, perceptions of relative U.S. economic power have declined in many of America’s key trading partners and allies: Since this statement talks about the 'past year',
• E. The trend can be seen in several European countries, where views about the economic balance of power have fluctuated in recent years: Since this statement talks about the 'trend' mentioned in statement A and also talks about how the perception has 'fluctuated' in European countries,
• B. Following the onset of the financial crisis nearly a decade ago, Europeans increasingly named China, rather than the U.S., as the world’s leading economic power: Since this statement talks about what happened a decade (ten years) ago.
• D. But in recent years, as the American economy slowly recovered, the pendulum began to swing back in the direction of the U.S.: This statement not only talks about the 'recent years' but also starts with 'But', thus indicating a contrasting comparison.
• C. This year, however, the pattern has reversed itself again, and in countries such as Germany, the United Kingdom, and Spain, China is once more seen as occupying the top spot: Since this statement talks about the most recent time period, that is, 'this year', this should be the concluding sentence.

Thus the correct order of sentences is: Over the past year, perceptions of relative US economic power have declined in many of America's key trading partners and allies. The trend can be seen in several European countries, where views about the economic balance of power have fluctuated in recent years. following the onset of the financial crisis nearly a decade ago, Europeans increasingly named China, rather than the US, as the world's leading economic power. But in recent years, as the American economy slowly recovered, the pendulum began to swing back in the direction of the US. This year, however, the pattern has reversed itself again, and in countries such as Germany, the United Kingdom, and Spain, China is once more seen as occupying the top spot.

The correct answer is D

Key Points

• Let's analyze the logical flow of the passage to ascertain the correct order of the sentences:
• A. Over the past year, perceptions of relative U.S. economic power have declined in many of America’s key trading partners and allies: Since this statement talks about the 'past year',
• E. The trend can be seen in several European countries, where views about the economic balance of power have fluctuated in recent years: Since this statement talks about the 'trend' mentioned in statement A and also talks about how the perception has 'fluctuated' in European countries,
• B. Following the onset of the financial crisis nearly a decade ago, Europeans increasingly named China, rather than the U.S., as the world’s leading economic power: Since this statement talks about what happened a decade (ten years) ago.
• D. But in recent years, as the American economy slowly recovered, the pendulum began to swing back in the direction of the U.S.: This statement not only talks about the 'recent years' but also starts with 'But', thus indicating a contrasting comparison.
• C. This year, however, the pattern has reversed itself again, and in countries such as Germany, the United Kingdom, and Spain, China is once more seen as occupying the top spot: Since this statement talks about the most recent time period, that is, 'this year', this should be the concluding sentence.

Thus the correct order of sentences is: Over the past year, perceptions of relative US economic power have declined in many of America's key trading partners and allies. The trend can be seen in several European countries, where views about the economic balance of power have fluctuated in recent years. following the onset of the financial crisis nearly a decade ago, Europeans increasingly named China, rather than the US, as the world's leading economic power. But in recent years, as the American economy slowly recovered, the pendulum began to swing back in the direction of the US. This year, however, the pattern has reversed itself again, and in countries such as Germany, the United Kingdom, and Spain, China is once more seen as occupying the top spot.

Key Points

• The error is in part 2 of the sentence.
• According to the 'Proximity rule' of Subject-verb agreement, when a compound subject contains both a singular and a plural noun or pronoun joined by "or" or "nor," the verb should agree with the part of the subject that is closest to the verb. This is also called the rule of proximity.
• Also, according to the same rule, Two singular nouns joined by ‘with’, ‘as well as’, ‘in addition to’, ‘together’ and ‘besides’ will have a singular verb as the number of verb is always decided on the basis of the primary subject in a sentence.
• In the above question sentence, 'Shooting' is considered to the primary subject that is singular in number. 'Horse riding' is an addition to the 'Primary subject' i.e. 'Shooting'.
• Thus, the error is in part 2 of the sentence as the plural verb form ‘are’ is incorrect. It should be the singular verb form ‘is.’
• For example, Ram, as well as Shyam, was absent during the concert.

​Correct sentence: "Shooting as well as horse riding is taught to cadets at the National Defence Academy every morning."

The correct option is option 2

Key Points

• The error is in part 2 of the sentence.
• Words joined to a singular subject by ‘with’, ‘as well as’, etc., will accommodate the singular verb.
• 'The President' is singular and is joined by 'along with'. Therefore, the verb should be singular.
• Thus, the error is in part 2 of the sentence as the plural verb form ‘are’ is incorrect. It should be ‘is.’
• For example: The newly elected Prime Minister along with his Ministers is keen to reform the economy.
• Hence the correct answer is option 2.

The correct sentence is: "The President, along with several international guests, is to be present during the swearing-in ceremony of the new government."

The correct answer is- 'error lies in the part-5'

Key Points

• There is no error in the given question. It is structured correctly.
• The correct adjective 'environmental' has been used here which qualifies the noun 'quality'

The correct sentence is- India has a long way to go to reach environmental quality similar to that enjoyed in developed economies

The error lies in 1 as the word 'further' means 'more' and it makes no sense here.

The correct word here is the preposition 'beyond' which means that stories take us far away from reality. 

The correct sentence is:-

Stories are all about going beyond reality and it is no wonder that they let you understand big concepts with only a little bit of reading practice.

Hence the correct answer is option 1.

The error lies in 2 as the word 'who' is incorrect here. It is used to introduce a clause giving further information about a person or people previously mentioned. The correct word here is 'which' which goes with the word  'character'. 

The correct sentence:

Who wouldn’t love to chat about which character is their favorite, or predict what will happen in a suspense story they are reading?

Hence the correct answer is option 2.

The error lies in 4 as the word 'grown' is incorrect here.

'Grown up' means 'a person who is an adult.' The correct word here should be 'gone' which means 'increase.'

The correct sentence is:-

Over the last few decades, the exploitation of our planet and the degradation of our environment have gone up at an alarming rate.

Hence option 4 is the correct answer.

The error lies in part 2 as the preposition 'of' is missing after the word 'introduction'. The preposition is mandatory here as it means 'the action of introducing something.'

Correct sentence:

In June the Swedish medical company Elekta announced the introduction of Watson for Oncology, a medical AI system developed by IBM in the United States.

Option 2 is the correct answer.

The author, through the passage, is trying to explain the problems that exist in the public schooling system as compared to the private sector. According to the passage, the public-private partnerships in education can be really fruitful. The example of public-private partnerships in the Netherlands and Hong Kong has been provided to support this argument.

Hence, the correct answer is option 4.

The answer to this question is provided in the lines: Parents prefer private schools. A global survey in 2017 found that they were a lot more likely to give the teaching at their children’s school a positive rating if it was private than if it was public; parents in Chile have voted with their children’s feet in favour of the private sector.

Therefore, private schools have a more positive rating among parents as compared to public schools. 

Hence option 5 is the correct answer.

The line ‘parents in Chile have voted with their children’s feet in favour of the private sector’ means that 'Parents in Chile gave favourable ratings to private schools over public ones.'

Hence option 3 is the correct answer.

The answer to this question is in the in the lines: Yet well-designed public-private partnerships can work. Two of the world’s best education systems—those of the Netherlands and Hong Kong—are based on them.

Hence the correct answer is option 1.

From a close reading of the passage, it becomes clear that the main objective of the author in the passage is to show that a public-private partnership in schools can work.

Hence the correct answer is option 4.

The lines in which the word good appears are: But some are entirely in order: governments need to promote quality, access to schooling and equity. The private sector is good at some, but not all, of those. 

Here, good refers to the private sector being advantageous, efficient, and productive in some of the things (out of providing quality, access to schooling and equity), but not all.

Therefore, the correct answer is option 4.

Relinquish, Yield, and ​Surrender all mean the same as cede, which is to voluntarily cease to keep or claim; give up.

Hence the correct answer is option 5.

The answer to this questions is given in the following lines of the passage: The main reason for the private sector’s superior efficiency seems to be teachers, who are paid less and are more likely to turn up for work than at government schools.

Hence the correct answer is option 1.

Correct option: 2.

The sentence requires a comparative formation because it compares two things.

Hence, correct answer: Is easier than.

Option 1 does not make any sense grammatically.

Option 4 uses the wrong tense form (future).

Option 3 is wrong because of 'are'.

Correct answer: Option 1.

The sentence means that the municipality will collect both type of waste(dry and wet) separately from every housing society.

Hence the correct answer is option 1.

The correct answer is No improvement.

Key Points

• 'Help' is one of the verbs which can take the bare infinitive.
• Ex. Please help me move this table.
• Ex. This can help keep you thin.
• In the simple present, most regular verbs use the root form, except in the third-person singular (which ends in -s).
• Hence, the main verb 'help' should become 'helps'.
• Therefore, the statement doesn't need any improvements.

Additional Information

• Help can be followed by either a gerund or a to-infinitive but with different meanings:
• I can't help thinking that you are hiding something. (only in the negative: I have to think that you are hiding something.)
• Could you help me (to) undo my shoelaces? My fingers are frozen. (Could you undo my shoelaces?)
• ​Help can be followed by a bare infinitive or a to-infinitive.
• 'Help to keeps' is grammatically wrong.

The correct answer is option (2) 

Key Points

• The sentence essentially means that the institute trains qualified professionals for specialized jobs.
• Hence the correct answer is "we train qualified."

Correct sentence: "As an institute, we train qualified professionals for a highly globalized and digital-driven world."

The correct answer is option 2 i.e. 'Also provides'

Explanation: In a sentence, the phrase 'will providing' is incorrect it should be replaced with 'Also provides'.

Let's look at the options:

'Will providing' is grammatically incorrect because with the modal verbs we use 'base form of the verbs.'

'Have provide' is grammatically incorrect because with 'have' we use the third form of the verb i.e. 'Have provided' also here we can't use a perfect tense because it shows the completion of the action in the given sentence it is incorrect to say that clean drinking water has already supply.

'Provide' is also grammatically incorrect because we have to write the singular verb with the singular subject i.e. 'the nuclear plant.'

Similarly, 'had provide' is also incorrect.

The suitable option is 2 i.e. 'Also provides' 'also' here is an adverb that means 'in addition to'

So the correct sentence is:

Apart from providing 'clean' electricity, the nuclear plant also provides clean drinking water to every household in the area.

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

Key Points

• The sentence suggests that the bulletproof vest has somehow protected the life of the police officer.
• Let's see the meaning of the given words:
• Saved: keep safe or rescue (someone or something ) from harm or danger. 
• For example, They brought him in to help save the club from bankruptcy.
• Dignified: having or showing a composed or serious manner that is worthy of respect.
• For example, She maintained a dignified silence in front of the police.
• Protect: keep safe from harm or injury.
• For example, He tried to protect Kelly from the attack.
• Stopped: (of an event, action, or process) come to an end; cease to happen.
• For example, His laughter stopped as quickly as it had begun.
• Hence, option 1 is the correct answer.
• Other options cannot be placed here.

Confusion Points

• 'Protected' could have been the correct answer. But the option has the base form of the verb protect. Hence it is the wrong answer.

Correct answer: Option 3.

Key Points

• The blank requires a word that can quantify the noun 'data'.
• Productive can be a close option, but it cannot be contextually correct.
• Therefore, recent is the correct answer.
• Procreate means to reproduce.
• Individual means single, separate; of a particular person.

Correct option: Option 1.

The sentence suggests that the blank should contain a positive word. Hence, 'lazy' is out.

Option 1 is the correct answer.

Options 3, 4 and 5 are contextually inappropriate.

Correct option: Option 4.

The trick to solving this question lies in the adjective 'successful'. The blank thus requires something which is positive. Hence, options 2, 3 and 5 are not applicable.

Option 1 is not correct because it is inappropriate.

The correct option is option 5 i.e. Recruiting

Key Points

• The sentence requires a word which means acquisition.
• Let's see the meaning of given words:
• Order means the arrangement of a group of people or things in a list from first to last: 
• For example: We ranked the tasks in order of importance.
• Making means the process of making or producing something:
• For example: There's an article on the making of a television series.
• Produce means to make or grow something:
• For example: The factory produces about 900 cars a year.
• Recruiting means to try to persuade someone to work for a company or to join an organization
• Hence, the correct answer is recruiting.
• Other options do not fit here.

Shortcut Trick

Let A's present age be 7x and B's age 4 years ago be 8x.

Current ages: A = 7x, B = 8x + 4.

Ages after 8 years: (7x + 8) / (8x + 4 + 8) = 9 / 11.

Solving for x: 77x + 88 = 72x + 108 → 5x = 20 → x = 4.

B's present age = 8(4) + 4 = 32 + 4 = 36 years.

∴ The correct answer is 36 years.

Alternate Method

Given: Ratio of A : (B − 4) = 7 : 8 and (A + 8) : (B + 8) = 9 : 11.

Calculations:

⇒ Let A = 7x and B − 4 = 8x → B = 8x + 4.

⇒ After 8 years, A's age = 7x + 8.

⇒ After 8 years, B's age = (8x + 4) + 8 = 8x + 12.

⇒ (7x + 8) / (8x + 12) = 9 / 11

⇒ 11(7x + 8) = 9(8x + 12)

⇒ 77x + 88 = 72x + 108

⇒ 5x = 20

⇒ x = 4

⇒ B's present age = 8x + 4 = 8(4) + 4 = 36 years.

∴ The correct answer is 36 years.

Additional Information

Ratio Method for Ages

When comparing ages at different points in time, ensure all parts of the ratio refer to the same timeframe or define variables clearly relative to the present age.

Age Difference Constant

The difference between the ages of two people remains constant throughout their lives, which can often be used to balance ratios quickly.

Shortcut Trick

Remaining mixture after 20% removal = 80% of 170 = 136 liters.

Water quantity in remaining mixture = (5/17) × 136 = 5 × 8 = 40 liters.

New water quantity = 40 + 10 (added water) = 50 liters.

∴ The correct answer is 50 litres.

Alternate Method

Given: Initial Total Mixture = 170 liters, Ratio (M:W) = 12 : 5, Removed = 20%, Added Water = 10 liters.

Formula Used: Quantity of component = (Ratio Part / Total Ratio) × Total Quantity

⇒ Total Ratio Parts = 12 + 5 = 17 units.

⇒ Quantity after removal = 170 − (20% of 170) = 170 − 34 = 136 liters.

⇒ In a mixture, when a part is removed, the ratio remains constant in the remaining part.

⇒ Water in 136 liters = (5 / 17) × 136

⇒ Water = 5 × 8 = 40 liters.

⇒ New quantity of water = 40 + 10 = 50 liters.

∴ The correct answer is 50 litres.

Additional Information

Mixture Removal Property

When a portion of a mixture is removed, the ratio of ingredients in the remaining mixture and the removed portion remains the same as the original ratio.

Alligation Rule

It is used to find the ratio in which two or more ingredients at their respective prices/concentrations must be mixed to produce a mixture at a given price/concentration.

Successive Replacement

Final Quantity = Initial Quantity × (1 − x/V)ⁿ, where x is quantity replaced, V is total volume, and n is number of operations.

Shortcut Trick

For Article B: Profit is 20%, so CP × 1.2 = SP.

CP of B = 3600 ÷ 1.2 = 3000.

Given: CP of A = 2 × CP of B.

CP of A = 2 × 3000 = 6000.

∴ The correct answer is 6000.

Alternate Method

Given: Selling Price of B (SP_B) = 3600, Profit% on B = 20%, CP_A = 2 × CP_B.

Formulas: CP = SP × 100 ÷ (100 + Profit%).

⇒ Step 1: Calculate CP of B = 3600 × (100 ÷ 120) = 3600 ÷ 1.2 = 3000.

⇒ Step 2: Calculate CP of A = 2 × CP of B = 2 × 3000 = 6000.

∴ The correct answer is 6000.

Additional Information

Cost Price (CP)

The price at which an article is purchased. CP = SP − Profit or CP = SP + Loss.

Profit Percentage

Profit% = (Profit ÷ CP) × 100. It is always calculated on the Cost Price unless stated otherwise.

Shortcut Trick

Difference in values → 188 − 144 = 44

This difference represents 40% of the number.

40% → 44

100% → (44 ÷ 40) × 100 = 1.1 × 100 = 110

∴ The correct answer is 110.

Alternate Method

Given:

Let the number be x.

Equation: 40% of x + 144 = 188

Calculations:

⇒ 0.40 × x + 144 = 188

⇒ 0.40x = 188 − 144

⇒ 0.40x = 44

⇒ x = 44 ÷ 0.40

⇒ x = 440 ÷ 4

⇒ x = 110

∴ The correct answer is 110.

Additional Information

Percentage to Fraction Conversion

To simplify calculations, convert percentages to fractions: 40% = 40/100 = 2/5.

Percentage Change Formula

Percentage Change = [(New Value − Original Value) ÷ Original Value] × 100.

Base Change Rule

If a value is increased by r%, it must be decreased by [r/(100+r)] × 100% to return to the original value.

Shortcut Trick

Effective Simple Interest for 3 years at 10% = 30%.

Amount after 3 years = 130% of X = 1.3X.

Effective Compound Interest for 2 years at 20% = 20 + 20 + (20 × 20)/100 = 44%.

Final Amount = 1.3X × 144% = 12168.

X = 12168 ÷ (1.3 × 1.44) = 12168 ÷ 1.872 = 6500.

∴ The correct answer is ₹6500.

Alternate Method

Given: Rate₁ = 10% (SI), Time₁ = 3 yrs, Rate₂ = 20% (CI), Time₂ = 2 yrs, Final Amount = ₹12168.

Formula: Amount(SI) = P(1 + RT/100) and Amount(CI) = P(1 + R/100)^T.

⇒ Amount after Scheme 1 (A₁) = X × [1 + (10 × 3)/100]

⇒ A₁ = X × (130/100) = 1.3X

⇒ Final Amount = A₁ × [1 + 20/100]²

⇒ 12168 = 1.3X × (1.2)²

⇒ 12168 = 1.3X × 1.44

⇒ 12168 = 1.872X

⇒ X = 12168 ÷ 1.872 = 6500

∴ The correct answer is ₹6500.

Additional Information

Simple Interest (SI) Property

Simple interest is calculated only on the principal amount. Total Interest = (P × R × T) ÷ 100.

Successive Percentage for CI

For 2 years, the effective compound interest rate can be calculated using the formula: a + b + (a × b) ÷ 100.

SI vs CI Difference

For 2 years, the difference between CI and SI is P × (R ÷ 100)².

Concept Used:

To Follow BODMAS Rule

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

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.

Calculation:

Given expression is,

1/7.99 + 1/11.96 – 1/3.94 + 1/? = 0

1/8 + 1/12 – 1/4 + 1/? = 0

1/? = 1/4 – 1/8 – 1/12

1/? = (6 – 3 – 2) / 24

? = 24

Concept Used:

To Follow BODMAS Rule

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

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.

Calculation:

Given expression is,

39.96% of (198.99 + 5.99²) = ?

40% of (199 + 6²) = ?

40/100 × (199 + 36) = ?

40/100 × 235 = ?

? = 94

Concept Used:

To Follow BODMAS Rule

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

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.

Calculation:

Given expression is,

17.01 + 23.04 – 48.01 ÷ √4.03 = ?²

17 + 23 – 48 ÷ 2 = ?²

16 = ?²

4² = ?²

? = 4

Concept Used:

To Follow BODMAS Rule

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

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.

Calculation:

Given expression is,

23.02 – 13.19 × √9.09 + 200.02 = ?

23 – 13 × √9 + 200 = ?

23 – 13 × 3 + 200 = ?

23 – 39 + 200 = ?

? = 184

Concept Used:

To Follow BODMAS Rule

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

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.

Calculation:

Given expression is,

4.03 × (6.02)² - √120.89 + √144.06 = ?

4 × 6² - √121 + √144 = ?

4 × 36 – 11 + 12 = ?

? = 145

Concept Used:

To Follow BODMAS Rule

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

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.

Calculation:

Given expression is,

8.02 – (? – 9.01) + (10.92)² = 120

8 – (? – 9) + (11)² = 120

8 – ? + 9 + 121 = 120

? = 18

Shortcut Trick

Investment Ratio = (8000 × 12) : (10000 × 8) : (15000 × 4)

Simplify ratios: (8 × 12) : (10 × 8) : (15 × 4) ⇒ 96 : 80 : 60.

Dividing by 4: 24 : 20 : 15.

Total units = 24 + 20 + 15 = 59 units.

59 units = Rs. 118000 ⇒ 1 unit = Rs. 2000.

Share of C = 15 units × 2000 = Rs. 30000.

∴ The correct answer is Rs. 30000.

Alternate Method

Given: Capital of A = Rs. 8000, B = Rs. 10000, C = Rs. 15000. Time periods: A = 12 months, B = 8 months, C = 4 months. Total Profit = Rs. 118000.

Formula: Profit Share Ratio = (Capital₁ × Time₁) : (Capital₂ × Time₂) : (Capital₃ × Time₃)

⇒ Profit share of A = 8000 × 12 = 96000

⇒ Profit share of B = 10000 × 8 = 80000

⇒ Profit share of C = 15000 × 4 = 60000

⇒ Ratio A:B:C = 96000 : 80000 : 60000 = 24 : 20 : 15

⇒ C share = (15 ÷ 59) × 118000 = 15 × 2000 = 30000

∴ The correct answer is Rs. 30000.

Additional Information

Partnership Basics

In a partnership, the profit is distributed among partners in the ratio of the product of their investment and time duration.

Compound Partnership

When partners invest capital for different time periods, it is called a compound partnership. Profit Ratio = (C1 × T1) : (C2 × T2).

Shortcut Trick

Area of Circular Field C = Total Cost ÷ Rate = 3465 ÷ 10 = 346.5 m².

Using πr² = 346.5 ⇒ (22/7) × r² = 346.5 ⇒ r² = 110.25 ⇒ radius (r) = 10.5 m.

Diameter of circle = 2 × 10.5 = 21 m = Side of Square S.

Perimeter of Square S = 4 × Side = 4 × 21 = 84 m.

∴ The correct answer is 84 m.

Alternate Method

Given: Rate = ₹10/m², Total Cost = ₹3465, Side of Square S = Diameter of Circle C.

Formula Used: Area of Circle = πr²; Perimeter of Square = 4 × side.

⇒ Area of Circle C = 3465 ÷ 10 = 346.5 m²

⇒ (22/7) × r² = 346.5

⇒ r² = (346.5 × 7) ÷ 22 = 15.75 × 7 = 110.25

⇒ r = √110.25 = 10.5 m

⇒ Diameter (D) = 2 × 10.5 = 21 m

⇒ Side of Square (a) = 21 m

⇒ Perimeter = 4 × a = 4 × 21 = 84 m

∴ The correct answer is 84 m.

Additional Information

Circle Mensuration

Area = πr² and Circumference = 2πr. The diameter (D) is twice the radius (2r).

Square Properties

Area = side² and Perimeter = 4 × side. Diagonal of a square = side × √2.

Costing Rule

Total cost of gardening/fencing = Rate per unit × Total Area/Perimeter.

Percentage of females in factory A and C together = 40%

Number of females in factory A and C together = 40% of (200 + 340) = 216

Percentage of males in factory B = 20%

Percentage of females in factory B = 100 – 20 = 80%

Number of females in factory B = 80% of 400 = 320

∴ Required number = 216 + 320 = 536

Number of workers in factory D = 320

Number of workers in factory E = 320 + 20% of 320 = 384

Ratio of the number of males and females in factory E = 7 : 5

∴ required number of females = 5/12 × 384 = 160

Percentage of females in factory A and C together (above 40 years) = 60%

Percentage of males in factory A and C together (above 40 years) = 40%

Number of males in factory A and C together (above 40 years) = 40/100 × (50 + 110) = 64

Percentage of females in factory B and D together (above 40 years) = 50%

Percentage of males in factory B and D together (above 40 years) = 50%

Number of males in factory B and D together (above 40 years) = 50/100 × (70 + 120) = 95

∴ required ratio = 64 : 95

Number of males in factory C (above 40 years) = 30

Number of females in factory C (above 40 years) = 110 – 30 = 80

Number of males in factory A (above 40 years) = 30

Number of females in factory A (above 40 years) = 50 – 30 = 20

∴ required percentage = [(80 – 20) / 20 ] × 100 = 300%

Total number of workers above 40 years in all the factories = 50 + 70 + 110 + 120 = 350

Number of females above 40 years in all the factories = 20% of 350 = 70

∴ required average = 70/4 = 17.5

Total number of workers in all the factories = 200 + 400 + 340 + 320 = 1260

Total number of workers above 40 years of age = 50 + 70 + 110 + 120 = 350

∴ total number of workers in all the factories whose age is below 40 years = 1260 – 350 = 910

Calculation:

Percentage of animals in the forest A and B together = (20% + 5%) = 25%

Number of animals in the forest A and B together = 25% of 5000 = 1250

Percentage of animals in the forest D and E together = (10% + 40%) = 50%

Number of animals in the forest D and E together = 50% of 5000 = 2500

∴ Required ratio = 1250 : 2500 = 1 : 2

The ratio = (20 + 5)% : (40 + 10)%

The ratio = 25 : 50 = 1 : 2

∴ Required ratio is 1 : 2

Calculation:

Let the number of herbivores animals in forest E = x

Number of carnivores’ animals in forest E = 2x

Number of omnivores animals in forest E = x

x + 2x + x = 40% of 5000

⇒ x = 500

∴ The number of herbivores animals in the forest E is 500

Calculation:

Number of animals in all the forest = 5000

Percentage of carnivores animals in all the forest = 10%

Number of carnivores animals in all the forest = 10% of 5000 = 500

∴ Required average = 500/5 = 100

Calculation: 

Number of animals in forest A = 20% of 5000 = 1000

Percentage of omnivores animals in forest A = 25%

Number of omnivores animals in forest A = 25% of 1000 = 250

Number of animals in the forest D = 10% of 5000 = 500

∴ Required ratio = (250/500) × 100 = 50%

Calculation:

The total percentage of animals in the forest A, B and C together = (20% + 5% + 25%) = 50%

The total number of animals in the forest A, B and C together = 50% of 5000 = 2500

The total percentage of animals in the forest D and E together = (10% + 40%) = 50%

The total number of animals in the forest D and E together = 50% of 5000 = 2500

∴ Required percentage = [(2500 – 2500) / 2500] × 100 = 0% 

The total percentage of animals in the forest A, B and C together = (20% + 5% + 25%) = 50%

The total percentage of animals in the forest D and E together = (10% + 40%) = 50%

Required percentage = [(50 – 50) / 50] × 100 = 0%

∴ Required percentage is 0%

18 + 2³ = 26

26 + 3³ = 53

53 + 4³ = 117

117 + 5³ = 242

242 + 6³ = 458

The given series is followed by +8, -10 

100 + 8 = 108

108 - 10 = 98

98 + 8 = 106

106 - 10 = 96

96 + 8 = 104

2 × 1/2 = 1

1 × 2/2 = 1

1 × 3/2 = 1.5

1.5 × 4/2 = 3

3 × 5/2 = 7.5

The given sequence is +6, +12 (6+6), +20 (12+8), +30 (20+10) 

18 + 6 = 24

24 + 12 = 36

36 + 20 = 56

56 + 30 = 86

86 + 42 = 128

1  × 11 = 11

11 × 9 = 99

99 × 7 = 693

693 × 5 = 3465

3465 × 3 = 10395

Let the no. male employees in the company be 13x and the female employees be 7x.

∴ 13x + 7x = 3500

⇒ 20x = 3500

⇒ x = 3500/20

⇒ x = 175

∴ No. of male employees = 13 × 175 = 2275

No. of employees in the accounts department = 30% of 3500

$\Rightarrow \frac{{30}}{{100}} \times {\rm{;}}3500$

⇒ 35 × 30 = 1050

No. of males in the production department = 20% of 2275

$\begin{array}{l} \Rightarrow \frac{{20}}{{100}} \times {\rm{;}}2275\ \Rightarrow \frac{1}{5} \times {\rm{;}}2275{\rm{;}} = {\rm{;}}455 \end{array}$

No. of females in the production department = $\frac{2}{3} \times {\rm{;}}1050{\rm{;}} = {\rm{;}}700$

∴ Total employees in production department = 700 + 455 = 1155

∴ Total employees in marketing department = 3500 – (1155 + 1050) = 1295

Let the no. male employees in the marketing department be 5x and the female employees be 2x.

∴ 5x + 2x = 1295

⇒ 7x = 1295

⇒ x = 185

⇒ Male employees in marketing department = 5 × 185 = 925

∴ No. of males in the Accounts department = 2275 – (455 + 925) = 895

⇒ No. of females in the Accounts department = 1050 – 895 = 155

∴ Ratio of females to males in the Accounts department = $\frac{{155}}{{895}}; = ;\frac{{31}}{{179}}; = ;31; : ;179$

Let the no. male employees in the company be 13x and the female employees be 7x.

∴ 13x + 7x = 3500

⇒ 20x = 3500

⇒ x = 3500/20

⇒ x = 175

∴ No. of male employees = 13 × 175 = 2275

No. of employees in the accounts department = 30% of 3500

$\Rightarrow \frac{{30}}{{100}} \times 3500$

⇒ 35 × 30 = 1050

No. of males in the production department = 20% of 2275

$\begin{array}{l} \Rightarrow \frac{{20}}{{100}} \times 2275\ \Rightarrow \frac{1}{5} \times 2275{\rm{;}} = {\rm{;}}455 \end{array}$

No. of females in the production department = $\frac{2}{3} \times 1050{\rm{;}} = {\rm{;}}700$

∴ Total employees in production department = 700 + 455 = 1155

∴ Total employees in marketing department = 3500 – (1155 + 1050) = 1295

Let the no. male employees in the marketing department be 5x and the female employees be 2x.

∴ 5x + 2x = 1295

⇒ 7x = 1295

⇒ x = 185

⇒ Male employees in marketing department = 5 × 185

= 925

∴ No. of males in the Accounts department = 2275 – (455 + 925) = 895

∴ % of male employees in Accounts department = $\frac{{895}}{{2275}} \times 100; = {\rm{;}}39.34$

No. of employees in the accounts department = 30% of 3500

$\Rightarrow \frac{{30}}{{100}} \times 3500$

⇒ 35 × 30 = 1050

No. of females in the production department = $\frac{2}{3} \times 1050{\rm{;}} = {\rm{;}}700$

Let the no. male employees in the company be 13x and the female employees be 7x.

∴ 13x + 7x = 3500

⇒ 20x = 3500

⇒ x = 3500/20

⇒ x = 175

∴ No. of male employees = 13 × 175 = 2275

No. of employees in the accounts department = 30% of 3500

$\Rightarrow \frac{{30}}{{100}} \times {\rm{;}}3500$

⇒ 35 × 30 = 1050

No. of males in the production department = 20% of 2275

$\Rightarrow \frac{{20}}{{100}} \times 2275{\rm{;}} = {\rm{;}}455$

No. of females in the production department = $\frac{2}{3} \times {\rm{;}}1050{\rm{;}} = {\rm{;}}700$

∴ Total employees in production department = 700 + 455 = 1155

∴ Total employees in marketing department = 3500 – (1155 + 1050) = 1295

Let the no. male employees in the marketing department be 5x and the female employees be 2x.

∴ 5x + 2x = 1295

⇒ 7x = 1295

⇒ x = 185

⇒ Male employees in marketing department = 5 × 185 = 925

∴ The difference between the no. males in the Marketing department and the Production department = 925 – 455 = 470

Shortcut Trick

Time to cross platform (Train + Platform) = 30 seconds

Time to cross standing pole (Train only) = 10 seconds

Time taken to cover platform length alone = 30 − 10 = 20 seconds

Ratio of Train length to Platform length = 10 : 20 = 1 : 2

If 2 units = 300 m, then 1 unit = 150 m

∴ The correct answer is 150 m.

Alternate Method

Given: Length of platform = 300 m, Time to cross pole = 10 s, Time to cross platform = 30 s.

Formula Used: Speed = Distance ÷ Time

⇒ Speed of train (v) = Train Length (L) ÷ 10

⇒ Speed of train (v) = (L + 300) ÷ 30

⇒ L ÷ 10 = (L + 300) ÷ 30

⇒ 3 × L = L + 300

⇒ 2 × L = 300

⇒ L = 150 m

∴ The correct answer is 150 m.

Additional Information

Relative Speed

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

Train Crossing Objects

To cross a point object (pole, man), distance = length of train. To cross a stationary object with length (bridge, tunnel, platform), distance = length of train + length of object.

Unit Conversion

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

Shortcut Trick

Sum of first four numbers = 4 × 10 = 40

Sum of last four numbers = 4 × 8 = 32

Total Sum of all six numbers = 6 × 9 = 54

Sum of 3^rd and 4^th numbers = (Sum of 1-4) + (Sum of 3-6) − (Sum of 1-6)

Sum of 3^rd and 4^th = 40 + 32 − 54 = 18

Average of 3^rd and 4^th = 18 ÷ 2 = 9

∴ The correct answer is 9.

Alternate Method

Let the 6 numbers be x₁, x₂, x₃, x₄, x₅, x₆.

Given: Average of 6 numbers = 9; Average of first four = 10; Average of last four = 8.

Formula Used: Sum = Average × Number of terms

⇒ Sum of all numbers (S₆) = 6 × 9 = 54

⇒ Sum of first 4 (S_first4) = 4 × 10 = 40

⇒ Sum of last 4 (S_last4) = 4 × 8 = 32

⇒ (x₁ + x₂ + x₃ + x₄) + (x₃ + x₄ + x₅ + x₆) = 40 + 32 = 72

⇒ (x₁ + x₂ + x₃ + x₄ + x₅ + x₆) + (x₃ + x₄) = 72

⇒ 54 + (x₃ + x₄) = 72

⇒ x₃ + x₄ = 72 − 54 = 18

⇒ Average of x₃ and x₄ = 18 ÷ 2 = 9

∴ The correct answer is 9.

Additional Information

Overlap Concept in Averages

When groups overlap, the sum of individual groups minus the total sum gives the sum of the overlapping elements.

Weighted Average

The combined average of two groups is given by (n₁a₁ + n₂a₂) ÷ (n₁ + n₂), where n is the count and a is the average.

Eight people: A, B, C, D, E, F, G, and H sitting around a table.

Some of them are facing the centre while others are facing outside (i.e. opposite to the centre)

1)  F faces the centre.

2. Only three people sit between F and A.

3. C sits third to the left of A.

4) Immediate neighbors of C face the same direction

5) H is an immediate neighbor of F.

6) B is an immediate neighbor of H.

7) G sits to the immediate right of B.

8) D sits second to the left of G.

9) Immediate neighbors of D faces the opposite direction.

(As in the case ii, Immediate neighbors of D faces the same direction, case ii gets eliminated).

10) E sits to the immediate left of C.

11. Both D and H face a direction opposite to that of E.

Hence, G sits second to the left of H.

Eight people: A, B, C, D, E, F, G, and H sitting around a table.

Some of them are facing the centre while others are facing outside (i.e. opposite to the centre)

1)  F faces the centre. 

2. Only three people sit between F and A. 

3. C sits third to the left of A.

4) Immediate neighbors of C face the same direction

5) H is an immediate neighbor of F.

6) B is an immediate neighbor of H.

7) G sits to the immediate right of B.

8) D sits second to the left of G.

9) Immediate neighbors of D faces the opposite direction.

(As in the case ii, Immediate neighbors of D faces the same direction, case ii gets eliminated).

10) E sits to the immediate left of C. 

11. Both D and H face a direction opposite to that of E.

Here except DB, all other pairs are facing in the same directions of each other.

Hence, DB is the odd one out.

Eight people: A, B, C, D, E, F, G, and H sitting around a table.

Some of them are facing the centre while others are facing outside (i.e. opposite to the centre)

1)  F faces the centre. 

2. Only three people sit between F and A. 

3. C sits third to the left of A.

4) Immediate neighbors of C face the same direction

5) H is an immediate neighbor of F.

6) B is an immediate neighbor of H.

7) G sits to the immediate right of B.

8) D sits second to the left of G.

9) Immediate neighbors of D faces the opposite direction.

(As in the case ii, Immediate neighbors of D faces the same direction, case ii gets eliminated).

10) E sits to the immediate left of C. 

11. Both D and H face a direction opposite to that of E.

Hence, if D and B interchange their positions, then D sits second to the right of A.

Eight people: A, B, C, D, E, F, G, and H sitting around a table.

Some of them are facing the centre while others are facing outside (i.e. opposite to the centre)

1)  F faces the centre. 

2. Only three people sit between F and A. 

3. C sits third to the left of A.

4) Immediate neighbors of C face the same direction

5) H is an immediate neighbor of F.

6) B is an immediate neighbor of H.

7) G sits to the immediate right of B.

8) D sits second to the left of G.

9) Immediate neighbors of D faces the opposite direction.

(As in the case ii, Immediate neighbors of D faces the same direction, case ii gets eliminated).

10) E sits to the immediate left of C. 

11. Both D and H face a direction opposite to that of E.

Hence, five-persons sit between E and F when counted from the left of E.

Eight people: A, B, C, D, E, F, G, and H sitting around a table.

Some of them are facing the centre while others are facing outside (i.e. opposite to the centre)

1)  F faces the centre. 

2. Only three people sit between F and A. 

3. C sits third to the left of A.

4) Immediate neighbors of C face the same direction

5) H is an immediate neighbor of F.

6) B is an immediate neighbor of H.

7) G sits to the immediate right of B.

8) D sits second to the left of G.

9) Immediate neighbors of D faces the opposite direction.

(As in the case ii, Immediate neighbors of D faces the same direction, case ii gets eliminated).

10) E sits to the immediate left of C. 

11. Both D and H face a direction opposite to that of E.

Hence, A sits to the immediate left of G.

The least possible Venn diagram is as follows:

Conclusions:

I. At least some apples are boats → True

II. All gloves are radios → False.

Hence, only conclusion I follow.

The least possible diagram for the given statements is as follows

Conclusion:

I. At least some wines are dots → False.

II. All cashews being bottles is a possibility → Possibility is true.

Hence, only II follows.

The least possible diagram for the given statements is as follows

Conclusion:

I. All bands being grain is a possibility → Possibility is true.

II. No poet is a lubricant → True.  

Hence, both I and II follow.

The least possible diagram for the given statements is as follows

Conclusion:

I. All circles being rectangle is a possibility → False (as no rectangle is a circle means no circle is a rectangle)

II. Some rectangles are definitely not soaps → False.

Hence, neither I nor II follows.

Hence, the distance between H and F is 140m.

Hence, 140m is the correct answer.

Point W is in South-West direction with respect to point G.

Hence, South-West is the correct answer.

W is not in the straight line as H, Z, G, F.

Hence, W is the correct answer.

Ten people are sitting in a straight line facing North with equal distance between each other.

1) Only 3 people sit to the left of M.

2) Only one person sits between M and R.

3. P sits third to the right of R.

4. As many people sit to the right of P as to the left of Q.

5) Only three people sit between Q and S. (Here case ii gets eliminated).

6) U is an immediate neighbor of S.

7. T sits second to the left of W. 

8. N sits to the immediate right of V.

Hence, there are five people sit between N and R.

Ten people are sitting in a straight line facing North with equal distance between each other.

1) Only 3 people sit to the left of M.

2) Only one person sits between M and R. 

3. P sits third to the right of R. 

4. As many people sit to the right of P as to the left of Q.

5) Only three people sit between Q and S. (Here case ii gets eliminated).

6) U is an immediate neighbor of S. 

7. T sits second to the left of W.  

8) N sits to the immediate right of V.

Hence, N sits 2nd to the right of Q.

Ten people are sitting in a straight line facing North with equal distance between each other.

1) Only 3 people sit to the left of M.

2) Only one person sits between M and R. 

3. P sits third to the right of R. 

4. As many people sit to the right of P as to the left of Q.

5) Only three people sit between Q and S. (Here case ii gets eliminated).

6) U is an immediate neighbor of S. 

7. T sits second to the left of W.  

8) N sits to the immediate right of V.

Hence, "ST" represents persons seated at the two extreme ends of the line

Ten people are sitting in a straight line facing North with equal distance between each other.

1) Only 3 people sit to the left of M.

2) Only one person sits between M and R. 

3. P sits third to the right of R. 

4. As many people sit to the right of P as to the left of Q.

5) Only three people sit between Q and S. (Here case ii gets eliminated).

6) U is an immediate neighbor of S. 

7. T sits second to the left of W.  

8) N sits to the immediate right of V.

Here except 'SP', other pairs have one people between them.

Hence, "SP" is the odd one out.

Ten people are sitting in a straight line facing North with equal distance between each other.

1) Only 3 people sit to the left of M.

2) Only one person sits between M and R. 

3. P sits third to the right of R. 

4. As many people sit to the right of P as to the left of Q.

5) Only three people sit between Q and S. (Here case ii gets eliminated).

6) U is an immediate neighbor of S. 

7. T sits second to the left of W.  

8) N sits to the immediate right of V.

Hence, 'P sits immediate left of Q' is the true statement.

Given word: MERCHANT

Hence, there are more than four pairs → Forward: EH,MT; Backward: AC, CE, AE, NR.

Given Word: MODELLING

After arranging all letters of the given word in alphabetical order: 

D E G I L L M N O

After changing all vowels to the previous letter and all consonants to the next letter as per the English alphabetical series: 

E D H H M M N O N

Hence, only three letters E, D, and O are not repeating more than once in the above arrangement.

Six people A, B, C, D, E, and F.

A is taller than D and C.

B is taller than A but shorter than E.

C is not the shortest person.

D is shorter than only three person. The third tallest person has 115cm height.

E > B > A > D > C > F

Therefore, E is the tallest.

Six people A, B, C, D, E, and F.

A is taller than D and C. 

B is taller than A but shorter than E. 

C is not the shortest person. 

D is shorter than only three-person. The third tallest person has 170 cm in height.

E > B > A > D > C > F

Now, A + E = 235------- (i)

and A + D = 220--------(ii)

A is the third tallest person = 115 cm

E = 235 - 115 = 120 cm

 Hence, the height of E is 120 cm.

Given,

i) B lives on an odd-numbered floor above floor 3.

From the above statement, we get two cases, i.e. Case-1 & Case-2

ii) Two people live between B and C.

From the above statement, we get two sub cases of Case-1, i.e. Case-1(a) & Case-1(b)

iii) Three people live between C and D.

iv) The number of people who live below C is equal to the number of people who live above A.

v) A lives on one of the floors above D.

From the above statement, this condition is violated. So, Case-2 is eliminated.

vi) F lives on two floors above C.

From the above statement, there is no place for F in Case-1(a). So, Case-1(a) is eliminated.

vii) G lives on one of the floors below E and H lives on one of the floors above G & E.

All of have 1 person sitting in between them except CD.

Hence, CD is the correct answer.