RBI Assistant Prelims MBT 2017 (Previous Year Paper)

The correct answer is option 3.

• Meek means quiet, gentle, and easily imposed on; submissive.
• For eg; He bought his meek son along.
• Modest means unassuming in the estimation of one's abilities or achievements.
• For eg; I have known him as a very modest man.
• Demure means reserved, modest, and shy.
• For eg; I was next to a demure woman.
• Assertive means having or showing a confident and forceful personality.
• For eg; We require someone with assertive behaviour.
• Docile means ready to accept control or instruction.
• For eg; We want a docile workforce.

The correct answer is option 4.

• According to the man's account, Bipin could not go to Netarhat due to the pain in his knee from the fall at Hudroo falls.
• So, the event of Bipin going to Netarhat did not occur in Ranchi as per the man's story.

The correct answer is option 3.

• It is mentioned that ''Every Monday, on his way back from work, Bipin Chowdhury would drop in at New Market to buy books. After dinner, he would rest for half an hour and then turn in with a book. This was a routine that had persisted unbroken for years.''
• So, he bought books every Monday and not every day.

The correct answer is option 2.

• It is mentioned that ''Driving up the Strand Road, Bipin Babu regretted having paid so much attention to the intruder.''
• So, option 2 is correct.

The correct answer is option 4.

• Option 4 clearly describes how Bipin Babu was feeling uncomfortable with the man.
• All other options describe his general actions.

Important Points

In the above option, we find the phrase ill at ease. 

• ill at ease means to be uncomfortable anxious or worried.
• Example: He seemed ill at ease when we spoke with him

So, option 4 is correct.

The correct answer is option 1.

• It is already mentioned in the passage that '' Bipin said ‘No, sir,’ said Bipin Babu. ‘I spent October Nineteen fifty- eight with a friend in Kanpur. You’re making a mistake. Good day.’ ''
• So, option 1 is correct.

The correct answer is option 1.

• It is already mentioned that ''Bipin asked the man, ‘Which month in Nineteen fifty- eight are you talking about?’ ''
• So clearly, he refers to the year 1958.

The correct answer is option 2.

• The phrase 'from close quarters' means "very near to a person or place."
• So option (2) is correct.

The correct answer is option 1.

• It is already mentioned that ''Those who didn’t show signs of leaving would be told around eight o’clock by Bipin Babu that he was under doctor’s orders to have dinner at eight-thirty. ''
• So, option 1 is correct.

The correct answer is option 2.

• It is already mentioned in the passage that '' He had to buy at least five at a time to last him through the week.''
• So, option 2 is correct.

The correct answer is Option (3) i.e Part C. 

Key Points

• The erroneous Part C should have 'much' instead of 'more'.
• The comparative form of the adjective 'good' has been used with the adverb 'more'.
• Comparative forms do not need the adverb 'more'. The correct adverb here would be 'much' because comparative adjectives that end with ''er'' and ''better'' can be followed by much, a lot far, a little, a bit, slightly.
• Hence, Part C is erroneous.

 

Correct Sentence: "I am sure this dress will look much better on my daughter." 

Additional Information

• Some words that are used only in positive degree and cannot be used in comparative degree or superlative degree are as follows:  
• Unique, universal, dead, complete, full, ideal, permanent, eternal, excellent, round, circular, parallel, impossible, flat, free, radioactive, major, minor, etc.

The correct answer is Part B.

Key Points

• The erroneous Part B should have 'when' instead of 'than'.
• With 'scarcely' the conjunction 'when' is used.
• The adverbs like 'hardly, scarcely, or no sooner' can be used (often with past perfect tense) to talk about two events that happen one after another.
• Therefore, 'when' should be used instead of 'than'.

Correct Sentence:  'Scarcely had Yatin reached his office when he was given a lot of work, that he couldn't handle.' 

Additional Information

Three Important Structures of Conditional Sentences:

• If+Present Indefinite, Simple Future​
• Example: If he works hard, he will surely get the job.
• If+Subject+had+V3, Subject+would+have+V3.
• Example: If I had seen you, I would have stopped my car.
• If+Subject+V2, Subject+would+V1
• Example: If I were the king, I would reform these tax laws

The correct answer is Part B.

Explanation:

• The erroneous Part A should have 'those' instead of 'that'.
• The noun 'writers' in the above sentence is in plural form.
• Therefore, the pronoun to denote them should also be in plural instead of 'that', 'those' should be used.
• Hence, Part B is erroneous.

Correct Sentence:  "Khaled Hosseini is one of those gifted writers who turned out one bestseller after another. "

The correct answer is Part B.

Key Points

• The erroneous Part B should have 'existing' instead of 'existed'.
• It is the past participle form of the verb 'exist'.
• A verb cannot be used to modify a noun. Therefore, its use is incorrect here.
• It should be replaced by the adjective 'existing'.
• In the given question it is used to refer to something that exists now.
• Therefore, the correct answer is Option 2. 

​

Correct Sentence: Varanasi is said to be one of the oldest existing cities in the world, along with Jerusalem and Delhi.

The correct answer is Part D. 

Key Points

• The erroneous Part D should have 'Houses' instead of 'House'.
• We know that 'Either of' or 'Neither of' is always followed by 'Plural Noun'.
• Hence, The erroneous Part is D.

 

Correct Answer: The enabling act can provide that the instrument is to be laid before either of the Houses of Parliament.  

Additional Information

• When two subjects are connected with 'as well as, with, along with, together with, in addition to, except, rather than, accompanied by, nothing but, etc.', then the helping verb should be used according to the first subject of the sentence.

• Example:

• The Captain along with the sailors were drowned. 

• The Captain along with the sailors was drowned.

The correct answer is Part B.

Key Points

• The erroneous Part B should have 'as fast as' instead of 'as faster as'.
• We know that with 'as...as' adjectives and adverbs are used in Positive Degree.
• Hence, 'faster' will be changed into 'fast'.

 

Correct Sentence: Raj walked as fast as he could to ensure that he does not miss the train to work. 

Additional Information

• The usage of Double Superlative is also wrong.
• Example:
• Jackson is the most cleverest of all the officers. (Wrong)
• Jackson is the cleverest of all the officers. (Right)

The correct answer is Part B. 

Key Points

• The erroneous Part B should have ''one's word'' instead of 'his word'.
• When 'one' is used as a subject of the sentence, then the Nominative case - one and objective pronoun - oneself should be used.
• Hence, Part B is erroneous.

 

Correct Sentence: One must be always true to one's word if one wants to get respect from everyone.

The correct answer is Part A. 

Key Points

• The erroneous Part A should have 'smart enough' instead of 'enough smart'.
• In the given sentence 'smart' is an adjective.
• And when we use enough with an adjective it is followed by that adjective.
• Hence, Part A is erroneous.

 

Correct Sentence: Hitesh is smart enough to give a strong reply to her question but he didn't give a damn.   

Additional Information

• We often confuse Too with Enough.
• Too means more than what is needed.
• Example: John has too many friends.
• Enough means sufficient.
• Example: Vin is intelligent enough to do the right thing.

The correct answer is detailed.

Key Points

Let's look at the meaning of the correct answer:

• He only explained what is already given in the public domain.
• Detailed - give full information about something.
• ​Example - More detailed information was needed.
• ​From the given meaning we can conclude that the correct answer is detailed.

Thus the correct sentence is: "*He only detailed what is already there in the public domain".*​

Additional Information

 Let's ​discuss the meaning of other options:

• through - moving in one side and out of the other side of (an opening, channel, or location).
• failed - not achieving its end or not lasting; unsuccessful.
• eaten - put (food) into the mouth and chew and swallow it.
• cried - shed tears, typically as an expression of distress, pain, or sorrow.

The correct answer is stepped.

Key Points

 Let's look at the meaning of the correct answer:

• It's been a year since I joined college, and I have not once come to my classroom.
• stepped - take a particular course of action; lift and set down one's foot to move to a new location.
• Example - he stepped out of the class.​
• ​From the given meaning we can conclude that the correct answer is stepped.

Thus the correct sentence is: *"*It’s been a year since I joined college, but I haven’t once stepped into my classroom".

Additional Information

Let's ​discuss the meaning of other options:

• rejected - dismiss as inadequate, unacceptable, or faulty.
• ejected - force or throw (something) out in a violent or sudden way.
• wrapped - covered or enclosed
• omitted - leave out or exclude (someone or something)

The correct answer is thought.

Key Points

Let's look at the meaning of the correct answer:

• thought - an idea or opinion produced by thinking, or occurring suddenly in the mind.
• ​Example - *Riha sat deep in the thought.*​
• ​From the given meaning we can conclude that the correct answer is thought

Thus the correct sentence is: "If the thought of investing in the stock market scares you, you are not alone"

Additional Information

Let's ​discuss the meaning of other options:

• song - a short poem or set of words set to music or meant to be sung.
• view - the ability to see something or to be seen from a particular place.
• source - a place, person, or thing from which something originates or can be obtained.
• button - a small disc or knob sewed onto a garment, either to fasten it by being pushed through a slit made for the purpose or for decoration.

The correct answer is museum

Key Points

• Museum:  A building which houses items of cultural, historical, artistic and scientific importance

It should be read as: 

The award for the most well-preserved artefacts from Egypt went to the museum in Toronto. 

Important Points

The usage of the terms 'well-preserved' and 'artefacts' indicate to the reader what kind of an establishment one is looking for in the options. 

Additional Information 

Let's look at the meaning of the other words:

• Garden: A small piece of land used to grow plants, fruits and vegetables.
• Auction: A public sale in which goods and property are sold to the highest bidder.
• Hospital: An institution providing medical and surgical services to ill or diseased people.
• Firestation: A location where a firetruck and other firefighting equipment is stored.

Confusion Points

The reader may get confused between 'museum' and 'auction' as they both deal with artefacts among other things, but an auction is an event, not a location or an establishment that can get into the 'preservation' of the artefacts, they just help people purchase art.

The correct answer is chauffeur

Key Points

• Chauffeur:  A person hired to drive a rented or owner car (usually on a long term basis)

It should be read as:

Annie got in her car and asked the chauffeur to drive around the city until she said otherwise.

Important Points

The mention of a 'car' and 'driving around' should give a hint to the reader about the kind of profession that is being referred to in the sentence. 

Additional Information

Let's look at the meaning of the other words:

• Steward: A person who looks after the passengers on a ship, brings them food and other amenities.
• Sommelier: A wine steward (provides suggestions on wine pairings)
• Veteran: A person who has had a long time experience in a particular field.
• Valet: A person employed to park cars.

Confusion Points

Even after the reader narrows down the options to 'care-related' terms, they may still be confused between 'valet' and 'chauffeur'. A 'valet' is hired to park cars - they don't drive it much and don't cater to just one client, a 'chauffeur' on the other hand is hired specifically for driving and usually cater to one client for the time being.

The correct answer is investing

Key Points

• Investing:  Give money with the expectation of receiving a profit or some material return after some time.

It should be read as:

The man was able to scam hundreds of people into investing money in his scheme, while planned to run away with the money. 

Important Points

The use of the terms 'money' and 'scheme' are important in making the reader understand what the man was able to make the people do. It helps identify the kind of action they took for the man. 

Additional Information

Let's look at the meaning of the other words:

• Planting: Place a seed, a bulb or a sapling into the ground so it can grow into a tree or a plant.
• Sowing: Planting a seed in soil by scattering it on the ground
• Diversifying: In terms of business, branching out into various areas
• Divesting: Depriving someone of their powers, rights or possessions

Confusion Points

The reader may get confused between 'divesting' and 'investing', given that they are both related to finance.  But one cannot 'divest into' something, as it is the action of taking away, not giving. Thus, the use of the preposition 'into' is helpful here.

The correct answer is bibliophile

Key Points

• Bibliophile: A person who has string habit of collecting and reading books and has a great love for them

It should be read as:

The bibliophile had managed to hoard so many books over her lifetime, that she was finding it hard to decide on a favourite. 

Important Points

The use of the phrase 'hoarding books' is important as it helps the reader identify what habit the person has in the blank and how intense the habit is.  

Additional Information

Let's look at the meaning of the other words:

• Policeman:  A member of the police force.
• Manager: A person responsible for managing and administering all the work in an office space.
• Pyromaniac: A person who has pyromania - an obsessive desire to set things on fire
• Librarian: A person - usually has a degree in library sciences - who administers the assets in a library

Confusion Points

The reader may get confused between 'bibliophile' and 'librarian' as they both deal in books but the main difference is a librarian may or may not 'hoard' the books and they usually don't own the books, while a 'bibliophile' owns the books and also collects them as a passion.

The correct answer is “Hardley”.

Key Points

• The word “Hardly” has been incorrectly spelt here as "Hardely".
• Let us see the meaning of “Hardly”.
• Hardly: scarcely, barely and faintly.
• Let us use the word "hardly" in a sentence.
• The little house in which he lived was hardly bigger than a hut.​

Correct sentence: "Shashank would have said that this prospect encounter rouse in him an emotion that he hardly had occasion to express."

​​​

Additional Information

• Let us see the meaning of other options.
• Prospect: the possibility or likelihood of some future event occurring.
• Rouse: cause to stop sleeping; make angry or excited.
• Express: convey (a thought or feeling) in words or by gestures and conduct.

The correct answer is ​andure.

Key Points

• In the sentence, out of all the bold parts 'andure' is the word that has no meaning.
• So, 'andure' is incorrectly spelt word.
• The correct spelling is 'endure' which means suffer (something painful or difficult) patiently.

​

Additional Information

• Let us know the meanings of other words:
• barefaced - shameless and undisguised.
• especially - used to single out one person or thing over all others.
• status - position or rank in relation to others

 

So, the correct sentence is - Lucien could not endure the thought of appearing barefaced in front of a stranger, especially a person of great status.

The correct answer is ​behst.

Key Points

• In the sentence, out of all the bold parts 'behst' is the word that has no meaning.
• So, 'behst' is incorrectly spelt word.
• The correct spelling is 'behest' which means a person's orders or command.

​

Additional Information

• Let us know the meanings of other words:
• willing - ready, eager, or prepared to do something.
• fiscal - related to government revenue, especially taxes.
• ministers - (in certain countries) a head of a government department.

 

So, the correct sentence is - Both have proved willing to conduct massive fiscal operations at the behest of treasury ministers.

The correct answer is ​hurrys.

Key Points

• In the sentence, out of all the bold parts 'hurrys' is the word that has no meaning.
• So, 'hurrys' is incorrectly spelt word.
• The correct spelling is 'hurries' which means moves or acts with great haste.

​

Additional Information

• Let us know the meanings of other words:
• complement - a thing that contributes extra features to something else in such a way as to improve or emphasize its quality.
• satisfaction - fulfilment of one's wishes, expectations, or needs, or the pleasure derived from this.
• lie - (of a person or animal) be in or assume a horizontal or resting position on a supporting surface.

​

So, the correct sentence is - Guilt always hurries towards its complement, punishment; only there does its satisfaction lie.

The correct answer is ​No error​.

Key Points

• The given sentence has no grammatically incorrect words.
• So, 'No error' is the correct answer. 

Additional Information

• Let us know the meanings of other words:
• Corporal - a rank of non-commissioned officer in the army, above lance corporal or private first class and below sergeant.
• regiment - organize according to a strict system or pattern.
• honour - the respect from other people that a person, country, etc. gets because of high standards of behaviour and moral character.
• wedding - a marriage ceremony, especially considered as including the associated celebrations

​

So, the correct sentence is - Fellow soldiers from Corporal Smith's regiment formed a guard of honour at his wedding.

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

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

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

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

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

{45 – (66 – 54 ÷ 9 × 8)} = ?

⇒ {45 – (66 – 6 × 8)} = ?

⇒ {45 – (66 – 48)} = ?

⇒ {45 – 18} = ?

∴ ? = 27

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

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

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

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

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

40% of 120 + ∛1728 – 42 = ?

⇒ 48 + 12 – 16 = ?

⇒ 60 – 16 = ?

∴ ? = 44

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

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

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

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

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

√1156 – √3249 + √1024 = ?2 

⇒ 34 – 57 + 32 = ?2 

⇒ 9 = ?2 

⇒ 3 = ?

Concept used:

Calculation:

80% of 750 + 60% of 800 = ?

⇒ (80/100) × 750 + (60/100) × 800 = ?

⇒ 600 + 480 = ?

∴ ? = 1080

Concept used:

Calculation:

(13)2 - (4)3 - √676 + 4 = ?

⇒ 169 – 64 - √676 + 4 = ?

⇒ ? = 169 – 64 – 26 + 4

⇒ ? = 173 – 90 = 83

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

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

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

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

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

34 × 12 ÷ 23 + 28 = ?

⇒ [(34 × 12)/8] + 28 = ?

⇒ 51 + 28 = ?

∴ ? = 79

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

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

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

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

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

20% of 450 + ∛216 – 82 = ?

⇒ 90 + 6 – 64 = ?

⇒ 96 – 64 = ?

∴ ? = 32

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

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

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

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

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

{45 – (26 – 56 ÷ 8 + 12)} = ?

⇒ {45 – (26 – 7 + 12)} = ?

⇒ {45 – (38 – 7)} = ?

⇒ {45 – 31} = ?

∴ ? = 14

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

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

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

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

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

625 + 322 - 49 = ?2

⇒ 625 + 1024 - 49 = ?2

⇒ 1600 = ?2

⇒ ? = 40

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

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

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

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

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

(180 + 24) ÷ 6 – 10 = ?

⇒ 204 ÷ 6 – 10 = ?

⇒ 34 – 10 = ?

⇒ ? = 24

Total boys students in Drama team = 25000 × 40/100 = 10000

Total girls students in Drama team = 28000 × 55/100 = 15400

Required average = (10000 + 15400)/2

∴ Required average = 12700

Total boys students in NSS team = 25000 × 15/100 = 3750

Total girls students in NSS team = 28000 × 25/100 = 7000

Required percentage = (7000 - 3750)/3750 × 100

∴ ? = 86.66% ≈ 87%

Total number of students in Drama team = (25000 × 40/100) + (28000 × 55/100) = 25400

Total number of students in Sports team = (25000 × 45/100) + (28000 × 20/100) = 16850

Required ratio = 25400 : 16850

∴ Required ratio = 508 : 337

Total boys in sports team = 25000 × 45/100 = 11250

Total girls in Sports team = 28000 × 20/100 = 5600

Required difference = 11250 – 5600

∴Required difference = 5650

Total number of students in NSS team = 25000 × 15/100 + 28000 × 25/100 = 10750

Total students in three teams = 28000 + 25000 = 53000

Required percentage = 10750 × 100/53000

∴Required percentage = 20.28% ≈ 21%

Let, the second discount rate = a%

Listed price = Rs. 200

1^st discount = 5%

∴ Price after 1^st discount = 200 – 200 × (5/100) = Rs. 190

2^nd discount = a%

∴ Price after 2^nd discount = 190 – 190 × (a/100) = Rs. (190 – 1.9a)

According to problem,

190 – 1.9a = 152

⇒ 1.9a = 38

⇒ a = 20

∴ 2^nd discount rate = 20%

Let the marked price be x.

⇒ Selling price after allowing 10% discount = x – (10% of x) = (90/100) x

⇒ Selling price after allowing 15% discount = x – (15% of x) = (85/100) x

⇒ (90/100) x – (85/100) x = 35

⇒ (5/100) x = 35

∴ x = (35 × 100)/5 = 700

Time taken by pipe 1 to fill the tank = 6 hours

Time taken by pipe 1 to fill one third the tank = 2 hours

⇒ Part of the tank filled by pipe in 2 hours\({\rm{}} = {\rm{}}\frac{1}{3}\)

⇒ Remaining part of the tank to be filled \(= {\rm{}}1 - \frac{1}{3}{\rm{}} = {\rm{}}\frac{2}{3}\)

∴ Part of the tank filled by four pipes in 1 hour\({\rm{}} = {\rm{}}4 \times \frac{1}{6} = \frac{2}{3}\)

∴ Total time taken = 2 hours + 1 hour = 3 hours

Given:

A can empty the tank in 24 hours

B can empty the tank in 36 hours

C can fill the tank in 6 hours

Concept:

Take the capacity of tank as LCM of time in which the pipes fill or empty the tank.

Calculation:

Let the capacity of tank be LCM of (24, 36 and 6) = 72 unit

A can empty the tank in 24 hours

⇒Efficiency of pipe A = 72/24 = 3 unit/hr

B can empty the tank in 36 hours

⇒Efficiency of pipe B = 72/36 = 2 unit/hr

C can fill the tank in 6 hours

⇒ Efficiency of pipe C = 72/6 = 12 unit/hr

If A, B, and C work together then the tank by them in 1 hour = 12 – 3 – 2 = 7 units

According to question all pipes work together for 8 hour

So tank filled = 8 × 7 = 56 units

Now,

Pipe A and B are closed and remaining portion of tank = 72 – 56 = 16 unit

Remaining tank is filled by C in 16/12 hours = 80 min

∴ Total time in which tank will be filled = 8 × 60 + 80 = 480 + 80 = 560 min

Given:

Average of 12 numbers = 35

Average of first nine numbers = 40

Average of last two numbers = 25

Formula used:

Average = sum of all item/ number of item

Calculation used:

Sum of 12 numbers = (35 × 12) = 420

⇒ Sum of 9 numbers = (40 × 9) = 360

⇒ Sum of last two numbers = (25 × 2) = 50

∴ Value of 10^th number = 420 – 360 – 50 = 10

GIVEN :

Total alloy = 900 kg

Steel present in alloy = 144 kg

Copper present in alloy = 45%

Remaining is Tin.

CONCEPT :

Percentage

CALCULATION :

Amount of Tin = 900 - 144 - \({45 \over 100}%\) × 900

 Amount of Tin = 900 - 549

Amount of Tin  = 351 kg

Percentage of Tin = \({351 \over 900}%\) × 100 = 39%

Additional Information Percentage of steel = 144/900 × 100 = 16%

"45% copper of complete alloy not of remaining alloy"

Given:

The age of Mohan is 3 times of his son and 4 times of his daughter

Son is 5 years elder than the daughter

Calculation:

Let the age of the father be x

Age of son = x/3

Age of daughter = x/4

According to the question,

⇒ x/3 – x/4 = 5

⇒ x/12 = 5

⇒ x = 60

∴ age of the father is 60 years

GIVEN :

A shopkeeper purchased two varieties of sugar costing Rs 40/kg and Rs 50/kg.

40 kg of first variety is mixed with 40 kg sugar of other variety and mixture is sold at Rs 54/kg.

CALCULATION :

⇒ Cost price of mixture of sugar = [(40 × 40) + (40 × 50)]/(40 + 40)

= Rs 45/kg

∴ Profit % = (54 – 45)/45 × 100 = 20%

Amount invest by Rishav = Rs. 7500

Time period of investment by Rishav = 12 months

Let,

Amount invested by Minakshi = Rs. X

Time period of investment by Minakshi = 7 months

Given,

After 1 year, the profits are divided in the ratio of 15 : 7

(7500 × 12)/(x × 7) = 15/7

⇒ x = 6000

Let the total capital be x

⇒ He invested x/3 at 3%, x/4 at 7% and 5x/12 at 3%

Total interest = Rs. 234

SI = (P × R × t)/100, where SI = simple interest, P = Principal, r = rate of interest and t = time period

[(x/3) × 3 × 1]/100 + [(x/4) × 7 × 1]/100 + [5x/12) × 3 × 1]/100 = 234

4x = 23400

∴ x = 23400/4 = Rs. 5850

Compound interest on a sum of Rs. P at a rate of R% compounded annually for T years is computed as,

CI = P(1 + R/100)^T - P

Substituting values, we get,

CI = 25000(1 + 10/100)² - 25000 = 25000(1.21 - 1) = 25000 × 0.21 = Rs. 5250

If the same sum is borrowed at simple interest, then,

SI = (P × R × T)/100 = (25000 × 10 × 2)/100 = Rs. 5000

∴ If he borrowed the sum at simple interest, he would have to pay = 5250 - 5000 = Rs. 250 less

GIVEN:

Distance from Home to office is 60 k.m.

Jay has to increase his speed by 5 km/h to decrease the traveling time of 1 hour.

FORMULA USED:

Distance = Speed × Time

CALCULATIONS:

Let the distance from home to the office be D

Let the older speed be S km/h, So new speed will be (S + 5) km/h

Let the usual time be t.

Case: 1

Distance = Speed × Time

When Jay goes with S speed, he takes 1 more hour than his usual time.

D = S × (t + 1)     ...i)

Case: 2

When Jay increases his speed by 5 km/h, he reaches on usual time

⇒ D = (S + 5) × t     ...ii)

Case 1 and Case 2 both can be compared as distance is same in both the case

⇒ S × (t + 1) = (S + 5) × t

⇒ St + S = St + 5t

⇒ S = 5t, we will put this value in equation (i)

Rewriting equation (i)

⇒ D = S × (t + 1)

⇒ D = 5t × (t + 1) = 5t² + 5t

⇒ 60 = 5t² + 5t

⇒ 12 = t² + t

⇒ t² + t –12 = 0

⇒ t² + 4t – 3t –12 = 0

⇒ t (t + 4) – 3(t + 4) = 0

⇒(t + 4) (t – 3) = 0

⇒ t = –4, t = 3

Time never can be a negative number. So t = 3 hours

∴ Regular time from home to office is 3 hours

A’s one day work is 1/ 36 and B’s one day work is 1/ 60

Together they can complete the work in one day is,

⇒ 1/ 36 + 1/ 60 = 8/ 180

Whole work will complete in 180/ 8

And 1/ 6^th of the work will completed in 180/ 8 × 1/ 6 = 15/ 4

Hence option 3 is correct.

Let r be the radius of circular playground

⇒ 2 π r = 308

⇒ 22/7 × r = 154

⇒ r = 154 × 7/22 = 49

⇒ Area of the circle = πr2 = 22/7 × 49 × 49 = 7546

⇒ Area of circle with path = π(r + 7)2 = 22/7 × 56 × 56

⇒ Area of circle with path = 9856

∴ Area of path = 9856 – 7546 = 2310 sq. metre

Area of square = (side)² = 4 × 4 = 16 cm²

Area of rectangular sheet = length × breadth = 24 × 36 = 864 cm²

∴ No. of squares that can be cut = 864/16 = 54

The series follows the following pattern:

5.5 × 2 - 2 = 9

9 × 2 - 2 = 16

16 × 2 - 2 = 30

30 × 2 - 2 = 58

58 × 2 - 2 = 114

The series follows the following pattern:

32 + 12 = 33

33 - 22 = 29

29 + 32 = 38

38 - 42 = 22

22 + 52 = 47

The series follows the following pattern:

7 × 1 + 1 = 8

8 × 2 + 2 = 18

18 × 3 + 3 = 57

57 × 4 + 4 = 232

232 × 5 + 5 = 1165

The series follows the following pattern:

700 – 23 = 692 

692 – 33 = 665 

665 – 43 = 601 

601 – 53 = 476 

476 – 63 = 260

The series follows the following pattern:

30 + 4 = 34

34 + 8 = 42

42 + 16 = 58

58 + 32 = 90

90 + 64 = 154

Eight friends- H, C, O, M, Z, V, J and K are sitting in a queue facing to the north.

1. Z, who is sitting one of the extreme ends, sits third to the left of M.

2. V and M are neighbors.

3. O sits third to the right of V.

Following are the possibilities we get,

 

4. C sits fifth to the left of J.
5. Only two persons sit between K and H and none of them sits at the end.
6. K is not the neighbor of J.

Here, this statement is violated in case I. so it is eliminated and the final arrangement is

Hence, M sits second to the left of H.

Eight friends- H, C, O, M, Z, V, J and K are sitting in a queue facing to the north.

1. Z, who is sitting one of the extreme ends, sits third to the left of M.

2. V and M are neighbors.

3. O sits third to the right of V.

Following are the possibilities we get,

 

4. C sits fifth to the left of J.
5. Only two persons sit between K and H and none of them sits at the end.
6. K is not the neighbor of J.

Here, this statement is violated in case I. so it is eliminated and the final arrangement is

Hence, three persons sit between K and J.

Eight friends- H, C, O, M, Z, V, J and K are sitting in a queue facing to the north.

1. Z, who is sitting one of the extreme ends, sits third to the left of M.

2. V and M are neighbors.

3. O sits third to the right of V.

Following are the possibilities we get,

 

4. C sits fifth to the left of J.
5. Only two persons sit between K and H and none of them sits at the end.
6. K is not the neighbor of J.

Here, this statement is violated in case I. so it is eliminated and the final arrangement is

Hence, O is fourth to the right of M.

Eight friends- H, C, O, M, Z, V, J and K are sitting in a queue facing to the north.

1. Z, who is sitting one of the extreme ends, sits third to the left of M.

2. V and M are neighbors.

3. O sits third to the right of V.

Following are the possibilities we get,

 

4. C sits fifth to the left of J.
5. Only two persons sit between K and H and none of them sits at the end.
6. K is not the neighbor of J.

Here, this statement is violated in case I. so it is eliminated and the final arrangement is

Here, all the letters change their positions.

Hence, none remain same.

Eight friends- H, C, O, M, Z, V, J and K are sitting in a queue facing to the north.

1. Z, who is sitting one of the extreme ends, sits third to the left of M.

2. V and M are neighbors.

3. O sits third to the right of V.

Following are the possibilities we get,

 

4. C sits fifth to the left of J.
5. Only two persons sit between K and H and none of them sits at the end.
6. K is not the neighbor of J.

Here, this statement is violated in case I. so it is eliminated and the final arrangement is

Only O is sitting at one of the extreme ends.

Hence, O does not belong to the group.

Given statements: F < R; R > T; W = B; B ≤ F

On combining: R > F ≥ B = W; R > T

Conclusions: 

I. R = B → False (as R > F ≥ B → R > B)

II. B < R → True (as R > F ≥ B → R > B)

Therefore, only II is true.

Given statements: B ≥ K; K > M; M < D; A = B

On combining: A = B ≥ K > M < D

Conclusions:

I. D > B → False (as B ≥ K > M < D → Relationship between D and B cannot be determined)

II. A < M → False (as A = B ≥ K > M → A > M)

Therefore, neither I nor II is true.

Given statements: H > U; Y ≥ K; U < Y; K = W

On combining: H > U < Y ≥ K = W

Conclusions: 

I. W = Y → False (as Y ≥ K = W → thus we can conclude Y ≥ W)

II. K < U → False (as U < Y ≥ K → Relationship between K and U cannot be determined)

Therefore, neither I nor II is true.

Given statements: T ≤ M; R > K > O; M = R; U ≥ O

On combining: T ≤ M = R > K > O ≤ U

Conclusions:

I. R > U → False (as R > K > O ≤ U → thus clear relation between R and U cannot be determined)

II. R > T → False (as T ≤ M = R → T ≤ R i.e., either T < R or T = R)

Hence, neither I nor II is True.

Given statements: E > B = K; U ≤ L = E; S < R ≤ U

On combining: S < R ≤ U ≤ L = E > B = K

Conclusions:

I.  L > R → False (as R ≤ U ≤ L → L ≥ R)

II. R = E → False (as R ≤ U ≤ L = E → R ≤ E)

Confusion PointsHere, L > R and R = E forms complementary pair as L ≥ R and E = L implies E ≥ R. Thus either E > R or E = R.

Hence, either I or II is True.

If the vowels are changed to the next letter and the consonants are changed to the previous letters:

Hence, ‘S’ is 4^th to the right of 3^rd letter from the left end.

1. The person first goes 5 km towards the east.

2. Then he turns left and travels in the north direction.

3. Then he turns right and travels in the east direction.

4. Then again he turns right and travels in the south direction.

5. He then turns left and travels in the east direction and after taking one more left he travels in the north direction.

6. He finally takes a left turn and travels in the west direction.

The least possible graphical representation of the given data is:

Point N is to the north-west of point Q.

1. The person first goes 5 km towards the east.

2. Then he turns left and travels in the north direction.

3. Then he turns right and travels in the east direction.

4. Then again he turns right and travels in the south direction.

5. He then turns left and travels in the east direction and after taking one more left he travels in the north direction.

6. He finally takes a left turn and travels in the west direction.

The least possible graphical representation of the given data is:

The starting point is L and the finishing point is S which is 8 km to the east of L.

The shortest distance between the starting and the finishing point is 8 km.

1. The person first goes 5 km towards the east.

2. Then he turns left and travels in the north direction.

3. Then he turns right and travels in the east direction.

4. Then again he turns right and travels in the south direction.

5. He then turns left and travels in the east direction and after taking one more left he travels in the north direction.

6. He finally takes a left turn and travels in the west direction.

The least possible graphical representation of the given data is:

Point S is 2 km to the south of point O.

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

Months: January, February, March, April, May, June and July.

1. T goes for the trip two month after Q’s trip. 

2. W goes in July.

3. V goes in the month which has 31 days but not in March.

4. P and R go for the trip in same month.

5. Q goes in the month which has only 30 days.

 

6. S goes for the trip just before U.

7. U does not go for the trip in March. So, case 1 won’t be possible as only P and R go on a trip in same month.

Final Case:

 

Hence, R goes for the trip in March.

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

Months: January, February, March, April, May, June and July.

1. T goes for the trip two month after Q’s trip. 

2. W goes in July.

3. V goes in the month which has 31 days but not in March.

4. P and R go for the trip in same month.

5. Q goes in the month which has only 30 days.

 

6. S goes for the trip just before U.

7. U does not go for the trip in March. So, case 1 won’t be possible as only P and R go on a trip in same month.

Final Case:

 

Hence, 1 person goes for the trip after T’s trip.

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

Months: January, February, March, April, May, June and July.

1. T goes for the trip two month after Q’s trip. 

2. W goes in July.

3. V goes in the month which has 31 days but not in March.

4. P and R go for the trip in same month.

5. Q goes in the month which has only 30 days.

 

6. S goes for the trip just before U.

7. U does not go for the trip in March. So, case 1 won’t be possible as only P and R go on a trip in same month.

Final Case:

 

All goes for the trip in month, which contains 31 days except U.

Hence, U does not belong to the group.

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

Months: January, February, March, April, May, June and July.

1. T goes for the trip two month after Q’s trip. 

2. W goes in July.

3. V goes in the month which has 31 days but not in March.

4. P and R go for the trip in same month.

5. Q goes in the month which has only 30 days.

 

6. S goes for the trip just before U.

7. U does not go for the trip in March. So, case 1 won’t be possible as only P and R go on a trip in same month.

Final Case:

 

Hence, V goes for the trip in May.

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

Months: January, February, March, April, May, June and July.

1. T goes for the trip two month after Q’s trip. 

2. W goes in July.

3. V goes in the month which has 31 days but not in March.

4. P and R go for the trip in same month.

5. Q goes in the month which has only 30 days.

 

6. S goes for the trip just before U.

7. U does not go for the trip in March. So, case 1 won’t be possible as only P and R go on a trip in same month.

Final Case:

 

Hence, ‘P, March’ is the correct pair.

Given series:

9 @ A 3 H 7 $ I M 8 K ! 6 L 5 E % J 3 O V B & 1 X ^ Z U * 4

Required Order→Symbol→Number

! 6, & 1, and * 4

Hence, three is the correct answer$.