RBI Assistant Prelims MBT 26 March 2022 (Shift 1) (Previous Year Paper)

The correct answer is 'between'.

Key Points

• Let's refer to this line from the passage: "Robert’s model made connections _______ the idea of an emotion circle and a color wheel."
• By reading the above line we can understand that it is talking about the two things, 'the idea of an emotion circle' and 'a color wheel'.
• The preposition 'between' is often used to refer to the time, space, or differences that separate two things, people, places, ideas.
• Example: This plane flies back and forth between New York and Miami.
• Therefore, the word 'between' fits most appropriately in the given blank.
• Hence, option 2 is the correct answer.

The correct answer is 'Expectation'.

Key Points

• The word 'anticipation' refers to the act of looking forward.
• Example: The postponement of the film's sequel has held cinemagoers in eager anticipation for several months.
• The synonyms for the word 'anticipation' are "contemplation, expectation, prospect".
• The word 'expectation' refers to the feeling or belief that something will or should happen.
• Example: I have high expectations for this job.
• Therefore, we can say that the word 'expectation' best expresses the meaning of the word 'anticipation'.
• Hence, option 1 is the correct answer.

The correct answer is 'Misery'.

Key Points

• The word 'happiness' refers to the feeling of being happy.
• Example: It was only later in life that she found happiness and peace of mind.
• The antonyms for the word 'happiness' are "calamity, misery, sadness".
• The word 'misery' refers to a state of great unhappiness and emotional distress.
• Example: The family lived in misery for several years.
• Therefore, the word 'misery' means the exact opposite of the word 'happiness'.
• Hence, option 5 is the correct answer.

The correct answer is 'I and II'.

Key Points

• Let's refer to these lines from the passage:
• "The sensation of boredom is described as feeling weary because one is unoccupied or lacks interest in one's current activity or environment" - stated in the first line of the second paragraph.
• ​The above line makes statement I to be true.
• "This freedom of self-concept is the window for boredom to arise" - stated in the first paragraph.
• The above line makes statement II to be true.
• "The slow process of enlarging a hole by repetitive movements is called boring" - stated in the third paragraph.
• The above line makes statement III to be false.
• Hence, the correct answer is option 4.

The correct answer is 'The wheel of emotions'.

Key Points

• Let's refer to this line from the passage: "In 1980 Robert Plutchik created the wheel of emotions."
• By reading the above line we can get that Robert Plutchik was the creator of the wheel of emotions.
• Hence, option 1 is the correct answer.

The correct answer is 'Boredom is not boring'.

Key Points

• The passage is about Boredom.
• By reading the whole passage we can understand that the passage about why boredom is important and how it is one of the most unique emotions and how it is or can be exciting.
• Therefore, the theme of the passage will be 'Boredom is not boring'.
• Hence, option 3 is the correct answer.

The correct answer is 'Only III'.

Key Points

• Let's refer to these lines from the passage:
• "When I am happy with what I am doing, I am not bored" - stated in the first paragraph.
• This makes statement I to be true.
• "It consisted of 8 basic emotions — anger, fear, sadness, disgust, surprise, anticipation, trust, and joy" - stated in the second paragraph.
• This makes statement II to be true.
• "Life, itself, existing might not be enough to conquer boredom" - stated in the third paragraph.
• This makes statement III to be false.
• Therefore, statement III is the only sentence that is false according to the given passage.
• Hence, option 3 is the correct answer.

The correct answer is 'Imperial'.

Key Points

• The word 'grand' means impressive and large or important.
• Example: They always entertain their guests in grand style.
• The synonyms for the word 'grand' are "magnificent, imperial, majestic".
• The word 'imperial' refers to someone or something of superior or unusual size or excellence.
• Example: Past imperial glories are hardly relevant to the present day.
• Therefore, the word 'imperial' best expresses the meaning of the word 'grand'.
• Hence, the correct answer is option 1.

The correct answer is option 3 i.e. Both A and B.

Important PointsCallous means showing or having an insensitive and cruel disregard for others.

Sentence C would make sense if --didactic: intended to teach, particularly in having moral instruction as an ulterior motive-- was used instead of callous.

The correct answer is '​Both A and C.'

Key Points

• The word 'Scale' as a noun means The size of something, especially when compared to other things.
• The word 'Scale' as a noun means A series of marks on a tool or piece of equipment that you use for measuring something.
• In sentence A, the word 'Scale' has been correctly used as a noun as the sentence is talking about production in large quantities.
• In sentence B, the word 'Scale' is inappropriately used and doesn't fit the context of the sentence.
• In sentence C, the word 'Scale' has been correctly used as a noun as the sentence is talking about a series of measuring marks on a ruler.

Hence, the only possible answer is option 4.

The correct answer is '​Both A and C.'

Key Points

• The word 'Issue' as a noun means An important topic or problem for debate or discussion.
• The word 'Issue' as a verb means To supply or distribute something for use or sale.
• In sentence A, the word 'Issue' has been correctly used as a noun as the sentence is talking about taking a stand on the problem related to misuse of hospital funds.
• In sentence B, the word 'Issue' is inappropriately used and doesn't fit the context of the sentence.
• In sentence C, the word 'Issue' has been correctly used as a verb as the sentence is talking about the distribution of ration cards by the authorities.

Hence, the only possible answer is option 4.

The correct answer is '​Strategy.'

Key Points

• The given sentence is talking about AAP's long-term planning of becoming a major opponent to the BJP by replacing Congress.
• Therefore, the most appropriate word to be filled in the blank is 'Strategy'.
• Also, the use of the phrase ''long-term'' in the sentence indicates the use of the word 'strategy' in the blank.
• The word 'Strategy' means A plan of action designed to achieve a long-term or overall aim. 
• Example: The company's financial strategy is not working.

Hence, the correct answer is option 1.

Complete Sentence: The long-term strategy of AAP is to replace Congress as the alternative pole to the BJP.

Additional Information

• Let us explore  the other options:
• Tragedy means A very sad event or situation.
• Prodigy means An outstanding example of a particular quality.
• Analogy means A comparison between one thing and another.
• Allergy means A strong dislike.

The correct answer is '​Risen.'

Key Points

• The given sentence is talking about Bangladesh becoming a successful top exporter in the global market.
• Therefore, the most appropriate word to be filled in the blank is 'Risen'.
• Also, the use of the phrase ''a top exporter'' in the sentence indicates the use of the word 'risen' in the blank.
• The word 'Risen' means To become more successful, powerful, important, etc. 
• Example: He has risen through the ranks to become managing director.

Hence, the correct answer is option 3.

Complete Sentence: Bangladesh has also risen as a top exporter in a cost-competitive global market.

Additional Information

• Let us explore  the other options:
• Chosen means Having been selected as the best or most appropriate.
• Worsen means To make or become worse.
• Lessen means To make or become less; diminish.
• Loosen means To make a less strong connection.

The correct answer is 'destined'.

Key Points 

• The meaning of the word destined is 'something likely to happen in near future or future' 

.

• For Example, 'We both felt that we were destined to meet.
• The given statement is trying to tell that failure of the scheme was likely to happen in the future and it was clear from the beginning.
• Therefore, 'destined' is the correct answer here.

Additional Information 

Let's learn about the other options given 

• uncertain: not able to be relied on; not known or definite.
• decided:  definite; unquestionable.
• remote: unlikely to occur.
• erroneous: wrong or incorrect

The correct answer is 'flowing'.

Key Points 

• The meaning of the word flowing is 'move steadily and continuously in a current or stream'.
• For Example, 'from here the river flows north'
• The given statement is trying to tell that the excess water started to flow forcefully. Water is a liquid and hence flowing is its property.
• Therefore, flowing is the correct answer here.

Additional Information 

• Let's learn about the other options given 
• stopped: come to an end.
• setting: the place or type of surroundings where something is positioned or where an event takes place.
• going: an act of leaving a place.
• beginning: the point in time or space at which something begins.

The correct answer is 'powerful'.

Key Points

• The meaning of the word powerful is 'having great power or strength'.
• For Example, "America is the world's most powerful nation"
• The given statement is trying to tell that the current of the 'thing' was so strong that it could take away a big tree trunk.
• Therefore, powerful is the correct answer here.

Additional Information

• Let's learn about the other options given: 
• compelling: evoking interest, attention, or admiration in a powerfully irresistible way.
• persuasive:  making you want to do or believe a particular thing.
• powerless: without ability, influence, or power.
• gentle: having or showing a mild, kind, or tender temperament or character.

The correct answer is EACBD.

Key Points

• E is the only opening segment that can lead to the formation of a meaningful and grammatically correct sentence. Hence, it will be the first part after rearrangement.
• Part A follows E being a complementary pair.
• Part C tells about the entity for which the sacrifices were done. Hence C follows A.
• Part B follows part C to maintain the logical flow of the sentence. So B follows C.
• Part D ends the sentence by explaining the reason behind the sacrifices.

Correct rearrangement of segments is: These sacrifices were done to pacify the spirits so that they wouldn't damage the crops or cause anyone grief.

Important Points

• While solving jumbles one must look for any independent segments/sentences or the option that establishes the subject matter.
• Then one must look for the connection between sentences and segments.
• Some sentences/segments will have some concluding notion so those options will always be at the end.

The correct answer is BDACE.

Key Points

• B is the only opening segment that can lead to the formation of a meaningful and grammatically correct sentence. Hence, it will be the first part after rearrangement.
• Part D follows B being a complementary pair.
• Part A follows D to maintain the logical flow of the sentence. Hence A follows D.
• Part C follows part A.
• Part E ends the sentence as it forms a pair with part C.

Correct rearrangement of segments is: She had a laser gun, even if she couldn't hit a target two feet in front of her.

Important Points

• While solving jumbles one must look for any independent segments/sentences or the option that establishes the subject matter.
• Then one must look for the connection between sentences and segments.
• Some sentences/segments will have some concluding notion so those options will always be at the end.

The correct answer is CABED.

Key Points

• C is the only opening segment that can lead to the formation of a meaningful and grammatically correct sentence. Hence, it will be the first part after rearrangement.
• Part A follows C being a complementary pair and forms a connection with part C.
• Part B implies what the individual was searching for. Hence B follows A.
• Part E follows part B to maintain the logical flow of the sentence. So E follows B.
• Part D ends the sentence by telling about the place where the individual was searching for the bicycle magazine.

Correct rearrangement of segments is: He fished around until he found his copy of the bicycle magazine he'd seen at the Byrne home.

Important Points 

• While solving jumbles one must look for any independent segments/sentences or the option that establishes the subject matter.
• Then one must look for the connection between sentences and segments.
• Some sentences/segments will have some concluding notion so those options will always be at the end.

The correct answer is: 'QPRS'

Key Points

• We need to find the grammatical and contextual connections between the parts of the sentence to find the correct sequence.
• Part Q contains a subject and a verb.
• It will be the first part of the sentence.
• Part Q ends with 'in a'
• Part P starts with 'a five star hotel'
• It maintains the continuity of the content and becomes the second part of the sentence.
• Part P ends with 'visit'
• Part R starts with 'to Mumbai'
• It maintains the continuity of the content and becomes the third part of the sentence.
• Part S again maintains the continuity of the content and becomes the last part of the sentence.
• Thus the correct sequence is: 'QPRS'

The complete sentence is:  We went in a five star hotel to stay during our visit to Mumbai where I asked only for bread and butter as breakfast.

Additional Information

• The part beginning with either a noun or a pronoun becomes the first part of the sentence.

The correct answer is option 2) i.e. QPRS.

Key Points

• Part ‘Q’ is the subject of the given sentence with a noun ‘players’. Hence part ‘Q’ should be the first part of the given sentence. The basic structure of a sentence is Subject + Verb + Object.
• Only part 'P' is starting with a verb ‘are’ and as we know that verb follows the subject, hence the verb ‘are’ of the part ‘P’ follows the subject ‘players’ of the part ‘Q’.
• ‘To’ of part ‘R’ links to the verb ‘allowed’ of part ‘P’. The verb ‘allow’ is called ‘causative’ as it expresses how one person or thing causes something else to happen. Hence ‘R’ follows ‘P’.
• Part ‘S’ is concluding the sentence and also ‘to change’ of part ‘R’ links to ‘unless’ of the part ‘S’.
• Thus, the correct order is QPRS.

​Correct sentence: "Players are not allowed to change to a different position unless there is a special requirement."

The correct answer is 'E.'

Key Points

• Let us explore the options:-
• 'Purported' means Appearing or stated to be true, though not necessarily so; alleged.
• 'Ensuring' means To make certain that something will occur or be the case.
• 'Security' means The state of being free from danger or threat.
• 'Country' means A nation with its own government, occupying a particular territory.
• 'Acheived': There is no such word in English or we can say that there is some spelling mistake in this word.
• The correct spelling is 'Achieved' means To successfully bring about or reach (a desired objective or result) by effort, skill, or courage.

Hence, the correct answer is option 5.

Correct Sentence: Mr. Putin’s purported objective of ensuring the security of his country will not be achieved.

Additional Information

• The synonyms of the word 'Achieved' are "Attain, Reach, Accomplish".
• Example of 'Achieved' in a sentence:
• He achieved his aim by sheer strength of will.

The correct answer is 'E.'

Key Points

• Let us explore the options:-
• 'Family' means A group of people who are related to each other.
• 'Without' means Not having or showing something.
• 'Meeting' means An assembly of people for a particular purpose, especially for formal discussion.
• 'Necessary' is Needed to be done, achieved, or present; essential.
• 'Expanses': There is no such word in English or we can say that there is some spelling mistake in this word.
• The correct spelling is 'Expenses' means The cost incurred in or required for something.

Hence, the correct answer is option 5.

Correct Sentence: It is a big blow for family members to return without being granted a meeting after having incurred the necessary time, travel, and other expenses.

Additional Information

• The synonyms of the word 'Expenses' are "Costs, Disbursements, Expenditures".
• Example of 'Expenses' in a sentence:
• Our living expenses are mounting up.

The correct answer is A-B.

Key Points

Let us look at the given sentence in the following manner: 

• The minister was not the ________ (A) man he ________ (B) to be and was soon ________ (C) from his position because of ________ (D) behaviour.
• From the below-given table, we get to know the meanings of the words in bold.
• In (A) pretended man and in (B) he virtuous to be both are incorrect phrases.
• The sentence tells us that the minister pretended to be a nice man but was soon removed from his position due to this bad behaviour.
• So, A and B should be interchanged to make the sentence correct. 

Therefore the correct sentence is, The minister was not the virtuous man he pretended to be and was soon discharged from his position because of immoral behaviour.

​

Additional Information

To understand which word belongs to which blank we need to know their meanings as enlisted below:

The correct answer is A-D.

Key Points

Let us look at the given sentence in the following manner: 

• Known for his _______ (A) comebacks, the comedian’s _______ (B) stand-up _______ (C) is a hit with every _______ (D).
• From the below-given table, we get to know the meanings of the words in bold.
• In (A) audience comebacks and in (D) hit with every witty both are incorrect phrases.
• The sentence tells us that he was known for his humourous comebacks and his stand up is always a hit among the listeners.
• So, A and D should be interchanged to make the sentence correct. 

Therefore the correct sentence is, Known for his witty comebacks, the comedian’s amusing stand-up routine is a hit with every audience.

​

Additional Information

To understand which word belongs to which blank we need to know their meanings as enlisted below:

The correct answer is 'B.'

Key Points

• The correct sequence of the segments after rearrangement is BDAEC.
• The sentence 'B' is independent of any other sentence as it is giving general information about "rising pollution". Hence, 'B' is the first part.
• Sentence D will come after B as it is telling about the effects of rising pollution.
• Sentence A will come after D as it is giving information about different ways in which pollution enters the human body.
• Sentence E will come after A as it is saying pollution not only affects humans but also our environment.
• The sentence 'C' is the concluding part because it is telling rising pollution is a big problem.
• From the above sequence, we can say that sentence 'B' is the first sentence after rearrangement.

Hence, the correct answer is option 2.

Paragraph after rearranging the sentences: Rising pollution is a very big problem for us. It is producing health challenges for all. We breathe polluted air, drink polluted water and eat polluted food. Pollution produces many health challenges not only for all creatures but also for our environment. The question is rising how can we protect ourselves from this enemy.

Hint

• Important Rules to Solve the Para Jumbles:
• Read the sentences attentively and try to comprehend the idea or theme of the sentence and eliminate the irrelevant options.
• Try to identify the opening (independent sentence) and closing sentences (concluding sentence).
• Try to identify the mandatory pairs. Two sentences can be connected through various connectors and other determinants.

The correct answer is 'D.'

Key Points

• The correct sequence of the segments after rearrangement is BDAEC.
• The sentence 'B' is independent of any other sentence as it is giving general information about "rising pollution". Hence, 'B' is the first part.
• Sentence D will come after B as it is telling about the effects of rising pollution.
• Sentence A will come after D as it is giving information about different ways in which pollution enters the human body.
• Sentence E will come after A as it is saying pollution not only affects humans but also our environment.
• The sentence 'C' is the concluding part because it is telling rising pollution is a big problem.
• From the above sequence, we can say that sentence 'D' is the second sentence after rearrangement.

Hence, the correct answer is option 4.

The correct answer is 'A.'

Key Points

• The correct sequence of the segments after rearrangement is BDAEC.
• The sentence 'B' is independent of any other sentence as it is giving general information about "rising pollution". Hence, 'B' is the first part.
• Sentence D will come after B as it is telling about the effects of rising pollution.
• Sentence A will come after D as it is giving information about different ways in which pollution enters the human body.
• Sentence E will come after A as it is saying pollution not only affects humans but also our environment.
• The sentence 'C' is the concluding part because it is telling rising pollution is a big problem.
• From the above sequence, we can say that sentence 'A' is the third sentence after rearrangement.

Hence, the correct answer is option 1.

The correct answer is 'E.'

Key Points

• The correct sequence of the segments after rearrangement is BDAEC.
• The sentence 'B' is independent of any other sentence as it is giving general information about "rising pollution". Hence, 'B' is the first part.
• Sentence D will come after B as it is telling about the effects of rising pollution.
• Sentence A will come after D as it is giving information about different ways in which pollution enters the human body.
• Sentence E will come after A as it is saying pollution not only affects humans but also our environment.
• The sentence 'C' is the concluding part because it is telling rising pollution is a big problem.
• From the above sequence, we can say that sentence 'E' is the fourth sentence after rearrangement.

Hence, the correct answer is option 5.

The correct answer is 'C.'

Key Points

• The correct sequence of the segments after rearrangement is BDAEC.
• The sentence 'B' is independent of any other sentence as it is giving general information about "rising pollution". Hence, 'B' is the first part.
• Sentence D will come after B as it is telling about the effects of rising pollution.
• Sentence A will come after D as it is giving information about different ways in which pollution enters the human body.
• Sentence E will come after A as it is saying pollution not only affects humans but also our environment.
• The sentence 'C' is the concluding part because it is telling rising pollution is a big problem.
• From the above sequence, we can say that sentence 'C' is the fifth sentence after rearrangement.

Hence, the correct answer is option 3.

Given

A man buy two watches at Rs.4000

He sold one watch at 20% profit and second at 10% loss.

The overall profit or loss will be 5%

Formula used

CP(1 + P/100) = SP

CP(1 - L/100) = SP

SP = Selling Price

CP = Cost Price

P = Profit

L = Loss

Calculation

Let CP of first watch be Rs.x, then CP of second watch be Rs.(4000 - x)

⇒ Total Selling Price = 4000 × 105 /100

⇒ 4200

⇒ According to question

⇒ x × 120/100 + (4000 - x) × 90/100 = 4200

⇒ 12x/10 + 3600 - 9x/10 = 4200

⇒ 3x/10 = 600

⇒ x = (600 × 10)/3

⇒ x = Rs.2000

∴ Cost price of first watch be Rs.2000

Alternate Method

(1 + 1) unit = 4000

2 unit = 4000

1 unit = 2000

Cost price of each watch is Rs.2000

Given:

The initial quantity of mixture containing milk and water is 156 liters.

Calculation:

Let the water to be added be x litres.

Then, initial quantity of milk = {7/(7 + 6)} × 156 liters

⇒ (7/13) × 156 litres

⇒ 84 litres

And, initial quantity of water = {6/(7 + 6)} × 156 liters

⇒ (6/13) × 156 litres

⇒ 72 litres

Now, 84/(72 + x) = 14/13

⇒ 84 × 13 = 14 × (72 + x)

⇒ 6 × 13 = 72 + x

⇒ x = 78 – 72

⇒ x = 6

∴ The quantity of water added is 6 litres.

Given:

Speed of the first train = 72 km/hr = 20 m/sec

Speed of the second train = 54 km/hr = 15 m/sec

First train crosses a post in 20 seconds and crosses the second train going in same direction in 1 min 45 sec = 105 seconds

Concept:

This question uses concepts of both crossing of trains and relative velocity.

Formula used:

Relative velocity when going in same direction = difference in velocities of the two trains

And, s = v × t  where, v = velocity of the train, t = time taken to cross, s = distance travelled

Calculation:

When the first train is crossing the post, it is actually crossing its own length and while it crosses the second train, it crosses the sum of the lengths of both the trains.

So, length of the train = 20 × 20 = 400 m

Let’s take length of the second train = x m

Relative speed between the two trains = 20 – 15 = 5 m/sec

ATQ,

(400 + x) = 5 × 105

⇒ 400 + x = 525

⇒ x = 125

Difference between their lengths = 400 – 125 = 275 m

Calculation:

The average of 13 papers = 80

∴ the sum of the marks = 13 × 80

⇒ 1040

Average for first 7 papers = 84

∴ The sum = 7 × 84

⇒ 588

Average of last 7 papers = 7 × 70

⇒ 490

∴ the marks obtained in the 7^th paper = (588 + 490) – 1040

⇒ 38

∴ the marks obtained in the 7^th paper are 38.

Given:

Total valid votes = 60%

Invalid votes = 30%

Total numbers of vote = 8000.

Concept used:

Total valid vote = total votes - invalid votes

Calculation:

Total number of votes = 8000 

Given that 30% of Percentage votes were invalid

⇒ Valid votes = 70%

Total valid votes = 8000 × (70/100) 

⇒ Valid vote = 5600

1^st candidate got 60% of the total valid votes. 

Hence the 2^nd candidate should have got 40% of the total valid votes 

⇒ Valid votes that 2^nd candidate got = total valid votes x (40/100) 

⇒ 5600 × (40/100)

⇒ 2240

∴ The valid votes of 2^nd candidate is 2240

Pattern of the given series can be explained as,

Calculation:

The series follows the following pattern

31 + 1² = 32

32 + 2² = 36

36 + 3² = 45

45 + 4² = 61

61 + 5² = 86

∴ The missing number is 45.

The logic behind the following series is as follows:

3 × 2 = 6

6 × 3 = 18

18 × 5 = ? = 90

90 × 7 = 630

630 × 11 = 6930

∴ The value of ‘?’ is 90.

Given:

60, 40, 50, ?, 180, 460

Calculation:

The series follows the following pattern

60 × 0.5 + 10 = 40

40 × 1 + 10 = 50

50 × 1.5 + 10 = 85

85 × 2 + 10 = 180

180 × 2.5 + 10 = 460

∴ The Required term in the series will be 85

Calculation:

The series follows the following pattern

13 × 1 + 1 = 14

14 × 2 + 2 = 30

30 × 3 + 3 = 93

93 × 4 + 4 = 376

376 × 5 + 5 = 1885

∴ The missing number is 93.

Given:

(15 + 24) × 3 ÷ 13 + 18 – 5 = ?

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

(15 + 24) × 3 ÷ 13 + 18 – 5 = ?

⇒ (39) × 3 ÷ 13 + 18 - 5 = ?

⇒ ? = 9 + 18 - 5

? = 22

∴ The value of ? is 22

Given:

13 × 3 of 5 ÷ 26 = ? + 2.5

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

13 × 3 of 5 ÷ 26 = ? + 2.5

⇒ 13 × 15 ÷ 26 = ? + 2.5

⇒ (15/2) = ? + 2.5

⇒ 7.5 = ? + 2.5

⇒ ? = 7.5 - 2.5

⇒ ? = 5

∴ The value of '?' will be 5.

Given:

10% of 450 - (8 × 5) = ? × 5

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

10% of 450 - (8 × 5) = ? × 5

⇒ 45 - 40 = ? × 5

⇒ 5 = ? × 5

⇒ ? = 1

∴ The value of '?' is 1.

Given:

(66)2 - (34)2 + ?2 = (60)2

Formula Used:

a² - b² = (a + b)(a - b)

Concept Used:

Follow the BODMAS rule according to the table given below:

Calculation:

(66)2 - (34)2 + ?2 = (60)²

⇒ (66 + 34)(66 - 34) + ?² = 3600

⇒ 100 × 32 + ?² = 3600

⇒ ?² = 3600 - 3200

⇒ ?² = 400

⇒ ? = 20

∴ 20 will come in place of the question mark ('?').

Given:

3 × ? ÷ 9 = ∛729 × √121  

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

3 × ? ÷ 9 = ∛729 × √121

⇒ 3 × ? × (1/9) = 9 × 11

⇒ ? = 3 × 9 × 11

⇒ ? = 297 

∴ The value of ? is 297.

Given:

∛3375 × 75% of 400 = ?/2

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

∛3375 × 75% of 400 = ?/2

⇒ 15 × (3/4) × 400 = ?/2

⇒ 15 × 300 = ?/2

⇒ ? = 9000

∴ The value of ? is 9000.

Hint

Given:

225 ÷ 25 × 9 - 3 × ? = 60

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

225 ÷ 25 × 9 - 3 × ? = 60

⇒ 9 × 9 - 3 × ? = 60

⇒ 3 × ? = 81 - 60

⇒ 3 × ? = 21

⇒ ? = 7

∴ 7 should come in place of the question mark (?).

Given:  

(1111 ÷ 11) - (650 ÷ 25) = 15 × ?

Concept:

Follow the BODMAS rule according to the table given below:

Calculation:

(1111 ÷ 11) - (650 ÷ 25) = 15 × ?

⇒ 101 - 26 = 15 × ?

⇒ 75 = 15 × ?

⇒ ? = 75/15

⇒ ? = 5

∴ 5 will come in place of the question mark ('?').

Given:

15 × 3 + 7 × ? + 24 ÷ 6 × 2 = 60

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

15 × 3 + 7 × ? + 24 ÷ 6 × 2 = 60

⇒ 45 + 7 × ? + 4 × 2 = 60

⇒ 45 + 7 × ? + 8 = 60

⇒ 7 × ? = 7

⇒ ? = 1

∴ 1 should come in place of the question mark (?).

Concept used:

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

Calculation:

(700 + 800 – 1300 + 800 ) ÷ ? = 200

⇒ (1500 – 1300 + 800) ÷ ? = 200

⇒ (2300 – 1300) ÷ ? = 200

⇒ 1000 ÷ ? = 200

⇒ ? = 5

∴ The value of ? is 5

Concept used:

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

Calculation:

56 × 15 ÷ 3 – 83 = ? – 139

⇒ 280 – 83 = ? – 139

⇒ ? = 336

Concept used:

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

Calculation:

20 × 168 ÷ 14 – 40 = ? + 110

⇒ 20 × 12 – 40

⇒ 200 – 110

⇒ 90

∴ The value of ? is 90

Concept Used:       

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

Calculation;

⇒ 12 + 12 × 10 ÷ 5 = ?2

⇒ 12 + 12 × 2 = ?2

⇒ 12 + 24 = ?2

⇒ 36 = ?2

⇒ 6² = ?2

⇒ ? = 6

∴ The value of ? is 6

Concept used:

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

Calculations:

450 × 30 + 1500 × 20 = ?% × 43500

⇒ 13500 + 30000 = (?/100) × 43500

⇒ 43500 = ? × 435

⇒ ? = 100 

∴ The value of ? is 100

Concept used:

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

Calculation:

8974 + 3567 – 8976 – 3565 + 8652 = ?

⇒ 8974 + 3567 + 8652  – 3565 – 8976 = ?

⇒ 21193 – 12541 = ?

⇒ 8652 = ?

∴ The value of ? is 8652

Alternate Method 

8974 + 3567 – 8976 – 3565 + 8652 = ?

⇒ 8974 – 8976 + 3567 – 3565 + 8652 = ?

⇒ -2 + 2 + 8652 = ?

⇒ ? = 8652 

∴ The value of ? is 8652

Calculations:

Total Production of cars from Ford = (240000 + 160000 + 200000 + 180000)

⇒ 780000

Total Production of cars from Tata Motors = (220000 + 200000 + 180000 + 200000)

⇒ 800000

∴ Difference = 800000 - 780000

⇒ 20000

The difference between the total production of Ford and Tata motors in the given years is 20,000.

Calculations:

Total Production of cars from Honda = (200000 + 180000 + 220000 + 240000)

⇒ 840000

∴ Average = 840000 / 4

⇒ 210000

The average number of cars manufactured by Honda over the given period is 2,10,000.

Calculations:

∴ Required Percentage = 220000 / 180000 × 100

⇒ 122.22 ≈ 122%

The production of Honda in 2018 was 122% of the production of Tata Motors in the same year.

Calculations:

∴ Required Difference = 200000 - 180000

⇒ 20000

The difference between the number of cars manufactured by Ford in the year 2018 and 2019 is 20,000.

Calculations:

∴ Required Average = (220000 + 200000 + 200000 + 240000) / 4

⇒ 215000

The average of all the cars manufactured by Tata Motors and Honda in 2016 and 2019 is 2,15,000.

Given:

The amount borrowed by Amar = Rs. 10000

Time = 4 years

The extra amount received by Sachin = Rs. 5000

Concept used:

The extra amount Sachin gets is the interest.

Simple Interest = Principal × rate × time/100

Calculation:

Simple Interest = Rs 5000 

⇒ 5000 = 10000 × rate × 4/100

⇒ Rate = 50/4

∴ Rate % = 12.5%

Given

Mohan can do a piece of work in 10 days

Sohan can do a piece of work in 15 days

Formula Used

(A + B)’s one day work = (1/x + 1/y)

Calculation

Mohan ‘s one day work = 1/10    

Sohan’s one day work = 1/15

(Mohan + Sohan)’s one day work = 1/10 + 1/15 = (3 + 2)/30 = 5/30 = 1/6

Since Mohan and Sohan have worked together for 3 days.

(Mohan + Sohan)’s 3 day work = 3/6 = 1/2

Remaining work  = 1 – 1/2 =  1/2

Now this work has to be done by Sohan. Sohan can do one work in 15 days

∴Sohan can do the 1/2 of the work in 15 × 1/2 = 15/2 days.

Given

Speed of Rajiv’s boat in downstream = 8 km/hour

Speed of Rajiv’s boat in upstream = 6 km/hour

Formula used

Speed of boat in still water = (Speed Downstream + Speed upstream)/2

Time = Distance/ Speed

Calculation

Speed of Rajiv’s boat in still water = (8 + 6)/2 Km/hour

⇒ 14/2 = 7 Km/hour

Required time = 28 km/7 Km/hour = 4 hours

∴ Time taken by Rajiv’s boat to travel 28 km is 4 hours.

Given:

Ram : Bharat : Sham = 7/2 : 4/3 : 6/5 

Formula:

Profit = Investment × time

Calculations:

Ratio of the initial investment = 7/2 : 4/3 ​: 6/5​

⇒ 105 : 40 : 36

So the actual investment of Ram, bharat, sham = 105x, 40x and 36x

Ram increases his share 50% after 4 months.

Hence the ratio of their investments

⇒ (105x × 4) + (105x × 150/100 ​× 8) : 40x × 12 : 36x × 12

⇒ 1680x ∶ 480x : 432x

⇒ 35 : 10 : 9

⇒ Sum of ratio = 35 + 10 + 9 = 54

⇒ Sham’s profit = (9/54) ​× 16,200 = 2700 Rs.

∴ sham's share in the profit is Rs 2,700

Shortcut Trick

Area of circle = (22/7) × 7² = 154 cm².

Area of rectangle = 154 − 84 = 70 cm².

Let width = x, then length = x + 3. So, x(x + 3) = 70.

By inspection, 7 × 10 = 70, where 10 − 7 = 3. Thus, length = 10 cm.

∴ The correct answer is 10 cm.

Alternate Method

Given: Radius (r) = 7 cm, Difference in areas = 84 cm², Length (L) = Width (W) + 3 cm.

Formula Used: Area of circle = πr²; Area of rectangle = L × W.

⇒ Area of Circle = (22/7) × 7 × 7 = 154 cm².

⇒ Area of Rectangle = 154 − 84 = 70 cm².

⇒ L × W = 70

⇒ (W + 3) × W = 70

⇒ W² + 3W − 70 = 0

⇒ W² + 10W − 7W − 70 = 0

⇒ W(W + 10) − 7(W + 10) = 0

⇒ W = 7 cm (ignoring negative value)

⇒ Length = 7 + 3 = 10 cm.

∴ The correct answer is 10 cm.

Additional Information

Properties of Rectangles

Perimeter of a rectangle is 2 × (length + width). The diagonals are equal and bisect each other.

Circle Mensuration

Circumference of a circle = 2πr. For a radius of 7 cm, the circumference is always 44 cm and the area is 154 cm².

Quadratic Roots Shortcut

For x² + bx + c = 0, if c is negative, the roots have opposite signs. Find factors of c that differ by b.

8 Persons whose names begin with: A, B, P, C, D, O, Q, and E

1. A sits 3^rd to the right of D.

2) Two persons sit between P and A.

4. B sits adjacent to O, who sits 4^th to the right of E.

5) Persons, whose names start with a vowel, do not sit adjacent to each other.

6. Q sits 3^rd to the left of O.

Thus, case 2 gets eliminated.

Hence, P sits 2^nd to the right of B.

8 Persons whose names begin with: A, B, P, C, D, O, Q, and E

1. A sits 3^rd to the right of D.

2) Two persons sit between P and A.

4. B sits adjacent to O, who sits 4^th to the right of E.

5) Persons, whose names start with a vowel, do not sit adjacent to each other.

6. Q sits 3^rd to the left of O.

Thus, case 2 gets eliminated.

Hence, Q sits 5^th to the left of C.

8 Persons whose names begin with: A, B, P, C, D, O, Q, and E

1. A sits 3^rd to the right of D.

2) Two persons sit between P and A.

4. B sits adjacent to O, who sits 4^th to the right of E.

5) Persons, whose names start with a vowel, do not sit adjacent to each other.

6. Q sits 3^rd to the left of O.

Thus, case 2 gets eliminated.

Hence, E is sitting opposite O.

8 Persons whose names begin with: A, B, P, C, D, O, Q, and E

1. A sits 3^rd to the right of D.

2) Two persons sit between P and A.

4. B sits adjacent to O, who sits 4^th to the right of E.

5) Persons, whose names start with a vowel, do not sit adjacent to each other.

6. Q sits 3^rd to the left of O.

Thus, case 2 gets eliminated.

Here,

EQ → Both sit adjacent to each other.

OP → Both sit adjacent to each other.

BO → Both sit adjacent to each other.

ED → Both sit adjacent to each other.

CA → Both do not sit adjacent to each other.

Hence, CA does not belong to the group.

8 Persons whose names begin with: A, B, P, C, D, O, Q, and E

1. A sits 3^rd to the right of D.

2) Two persons sit between P and A.

4. B sits adjacent to O, who sits 4^th to the right of E.

5) Persons, whose names start with a vowel, do not sit adjacent to each other.

6. Q sits 3^rd to the left of O.

Thus, case 2 gets eliminated.

Hence, A is sitting at the immediate left of B.

From the given information,

1. R is the only sibling of S and son of P implies R is the brother of S and P is the father of R and S.
2. Q is the mother of S.
3. T is the mother of V and sister-in-law of S implies two possibilities- either T is the wife of R or T is the sister of S's husband or wife.
4. V is the nephew of S and U is the wife of S implies that V is male.
5. U has no siblings implies that T is the wife of R and V is the son of R and T.

Hence, the correct answer is Wife.

From the given information,

1. R is the only sibling of S and son of P implies R is the brother of S and P is the father of R and S.
2. Q is the mother of S.
3. T is the mother of V and sister-in-law of S implies two possibilities- either T is the wife of R or T is the sister of S's husband or wife. 4. V is the nephew of S and U is the wife of S implies that V is male.
4. U has no siblings implies that T is the wife of R and V is the son of R and T.

Hence, the correct solution is Paternal Uncle.

Hence, four such pairs are there in the number ‘95126139’, each of which has as many digits between them in the number (both forward and backward direction) as they have between them in the Numeric Series.

Given Series: C B T A E X F I M K E U V N X O D

1. On dropping all the vowels, the arrangement is

C B T X F M K V N X D

2)Letter which is 9^th from the right end

Left Side C B T X F M K V N X D Right Side

Hence, T is 9^th from the right end.

Given Series: C B T A E X F I M K E U V N X O D

1. Consonants which are immediately followed by a consonant and immediately preceded by a vowel

C B T A E X FI M K E U V N X O D

Hence, three consonants are there which are immediately followed by a consonant and immediately preceded by a vowel- EXF, IMK and UVN

Given Series: C B T A E X F I M K E U V N X O D

1. Letter which is 5^th to the right of the 3^rd from the left end

Right Side + Left Side = Left Side

5^th from the right + 3^rd from the left = 8^th from the left

Left Side C B T A E X F I M K E U V N X O D Right Side

Hence, I is 5^th to the right of the 3^rd from the left end.

Persons: A, B, C, D, E, F, and G.

I. B attends a meeting on Thursday.

II. Only one person attends the meeting between B and G.

III. A attends meeting immediately after G.

IV. The number of people who attend a meeting before A is the same as the number of people who attend the meeting after C. 

V. Only one person attends a meeting between C and D. 

VI. F attends the meeting after D.

Hence, E attends the meeting on Tuesday.

Persons: A, B, C, D, E, F, and G.

I. B attends a meeting on Thursday. 

II. Only one person attends the meeting between B and G. 

III. A attends meeting immediately after G.

IV. The number of people who attend a meeting before A is the same as the number of people who attend the meeting after C. 

V. Only one person attends a meeting between C and D. 

VI. F attends the meeting after D.

Hence, G attends the meeting on Saturday.

Persons: A, B, C, D, E, F, and G.

I. B attends a meeting on Thursday.

II. Only one person attends the meeting between B and G.

III. A attends meeting immediately after G.

IV. The number of people who attend a meeting before A is the same as the number of people who attend the meeting after C. 

V. Only one person attends a meeting between C and D. 

VI. F attends the meeting after D.

Hence, D attends the meeting on Wednesday.

Persons: A, B, C, D, E, F, and G.

I. B attends a meeting on Thursday.

II. Only one person attends the meeting between B and G. 

III. A attends meeting immediately after G.

IV. The number of people who attend a meeting before A is the same as the number of people who attend the meeting after C. 

V. Only one person attends a meeting between C and D. 

VI. F attends the meeting after D.

Hence, 2 people do attend the meeting between B and A.

Persons: A, B, C, D, E, F, and G.

I. B attends a meeting on Thursday. 

II. Only one person attends the meeting between B and G. 

III. A attends meeting immediately after G.

IV. The number of people who attend a meeting before A is the same as the number of people who attend the meeting after C. 

V. Only one person attends a meeting between C and D. 

VI. F attends the meeting after D.

There are no meetings between these people GA, CE, FG, and DB except EG thus forms a group.

Hence, EG is the odd one.

Given series:

453         619      574      471      372

After arranging in ascending order within the number, the number formed:

345      169      457      147      237

Hence, the second lowest number is 169.

Given series:

453         619      574      471      372

If in each number, all the odd digit is added by 1 and all the even digit is added by 2 then the number formed:

664      8210      686      682      484

Hence, the lowest number is 484 (372).

Given series:

453       619      574      471      372

If all the digits in each of the numbers are arranged in descending order within the number then:

543      961      754      741      732

Hence, the highest number after new arrangement is 961 (619).