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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt

Why does the author give the examples of the Santa Susana Lab and Chernobyl?

Why does the author give the examples of the Santa Susana Lab and Chernobyl?
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt

What is the author's opinion on nuclear energy?

What is the author's opinion on nuclear energy?
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt

What is the main point of the last paragraph?

What is the main point of the last paragraph?
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt

What was the conclusion based on the research by the MIT ?

What was the conclusion based on the research by the MIT ?
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt

Which of the following adds the least depth to the author’s argument?

Which of the following adds the least depth to the author’s argument?
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt

The passage makes all the following claims EXCEPT:

“Hill-billy” was considered a derogatory word.
Country music was more progressive than it was perceived to be.
The audience of country music was diverse.

The passage makes all the following claims EXCEPT:

“Hill-billy” was considered a derogatory word.
Country music was more progressive than it was perceived to be.
The audience of country music was diverse.
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt

What is the author is trying to do by citing the example of Loretta Lynn?

What is the author is trying to do by citing the example of Loretta Lynn?
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt

Which of the following statements can be inferred from the passage?

Which of the following statements can be inferred from the passage?
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt

What is the primary purpose of the passage?

What is the primary purpose of the passage?
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt

What is the author most likely to discuss after the final paragraph?

What is the author most likely to discuss after the final paragraph?
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt

Which of the following is the author most likely to support?

Which of the following is the author most likely to support?
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt

What is the main idea behind the second paragraph?

What is the main idea behind the second paragraph?
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt

Which of the following can be inferred about Asa Gray?

I: He studied at Cambridge University
II: He was a writer
III: He was an editor
IV: He was a confidant of the editors of the journal from which the article is taken

Which of the following can be inferred about Asa Gray?

I: He studied at Cambridge University
II: He was a writer
III: He was an editor
IV: He was a confidant of the editors of the journal from which the article is taken
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt

Which of the following is not an aspect of Asa Gray’s written work?

Which of the following is not an aspect of Asa Gray’s written work?
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt

According to the passage, what were Gray’s views on Darwin?

According to the passage, what were Gray’s views on Darwin?
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt

Which of the following best explains the reason behind the author stating Asa Gray as less fortunate than George Bentham?

Which of the following best explains the reason behind the author stating Asa Gray as less fortunate than George Bentham?
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt

Four sentences are given below. These sentences, when rearranged in proper order, form a logical and meaningful paragraph. Rearrange the sentences and enter the correct order as the answer.

1. Wherever the rhythm was most delicate, wherever the emotion was most ecstatic, her art was the most beautiful, and yet, although she sometimes spoke to a little tune, it was never singing, as we sing to-day, never anything but speech.

2. I have always known that there was something I disliked about singing, and I naturally dislike print and paper, but now at last I understand why, for I have found something better.

3. A friend, who was here a few minutes ago, has sat with a beautiful stringed instrument upon her knee, her fingers passing over the strings, and has spoken to me some verses from Shelley’s Skylark and Sir 3. Ector’s lamentation over the dead Launcelot out of the Morte d’Arthur and some of my own poems.

4. I have just heard a poem spoken with so delicate a sense of its rhythm, with so perfect a respect for its meaning, that if I were a wise man and could persuade a few people to learn the art I would never open a book of verses again.

Four sentences are given below. These sentences, when rearranged in proper order, form a logical and meaningful paragraph. Rearrange the sentences and enter the correct order as the answer.

1. Wherever the rhythm was most delicate, wherever the emotion was most ecstatic, her art was the most beautiful, and yet, although she sometimes spoke to a little tune, it was never singing, as we sing to-day, never anything but speech.

2. I have always known that there was something I disliked about singing, and I naturally dislike print and paper, but now at last I understand why, for I have found something better.

3. A friend, who was here a few minutes ago, has sat with a beautiful stringed instrument upon her knee, her fingers passing over the strings, and has spoken to me some verses from Shelley’s Skylark and Sir 3. Ector’s lamentation over the dead Launcelot out of the Morte d’Arthur and some of my own poems.

4. I have just heard a poem spoken with so delicate a sense of its rhythm, with so perfect a respect for its meaning, that if I were a wise man and could persuade a few people to learn the art I would never open a book of verses again.
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt

Five sentences are given below. Four of which when arranged in a proper order, form a logical and meaningful paragraph. Identify the sentence that does not belong to the paragraph and enter its number as your answer.

1. With the modern tendency toward specialization, the natural outgrowth of necessity, there is no inherent reason why the bones of a building should not be devised by one man and its fleshly clothing by another, so long as they understand one another, and are in ideal agreement, but there is in general all too little understanding, and a confusion of ideas and aims.

2. Preoccupied as he is with the building's strength, safety, economy; solving new and staggeringly difficult problems with address and daring, he has scant sympathy with such inconsequent matters as the stylistic purity of a façade, or the profile of a moulding.

3. To the designer, on the other hand, the engineer appears in the light of a subordinate to be used for the promotion of his own ends, or an evil to be endured as an interference with those ends.
In the field of domestic architecture these dramatic contrasts are less evident, less sharply marked.

4. To the average structural engineer the architectural designer is a mere milliner in stone, informed in those prevailing architectural fashions of which he himself knows little and cares less.

Five sentences are given below. Four of which when arranged in a proper order, form a logical and meaningful paragraph. Identify the sentence that does not belong to the paragraph and enter its number as your answer.

1. With the modern tendency toward specialization, the natural outgrowth of necessity, there is no inherent reason why the bones of a building should not be devised by one man and its fleshly clothing by another, so long as they understand one another, and are in ideal agreement, but there is in general all too little understanding, and a confusion of ideas and aims.

2. Preoccupied as he is with the building's strength, safety, economy; solving new and staggeringly difficult problems with address and daring, he has scant sympathy with such inconsequent matters as the stylistic purity of a façade, or the profile of a moulding.

3. To the designer, on the other hand, the engineer appears in the light of a subordinate to be used for the promotion of his own ends, or an evil to be endured as an interference with those ends.
In the field of domestic architecture these dramatic contrasts are less evident, less sharply marked.

4. To the average structural engineer the architectural designer is a mere milliner in stone, informed in those prevailing architectural fashions of which he himself knows little and cares less.
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt

Five sentences are given below labelled as 1, 2, 3, 4 and 5. Of these, four sentences, when arranged properly, make a meaningful and coherent paragraph. Identify the odd one out.

1. Even where the advancer of the art was also a psychologist, the pedagogics and the psychology ran side by side, and the former was not derived in any sense from the latter.

2. To know psychology, therefore, is absolutely no guarantee that we shall be good teachers.

3. The art of teaching grew up in the schoolroom, out of inventiveness and sympathetic concrete observation.

4. That ingenuity in meeting and pursuing the pupil, that tact for the concrete situation, though they are the alpha and omega of the teacher's art, are things to which psychology cannot help us in the least.

5. The two were congruent, but neither was subordinate.

Five sentences are given below labelled as 1, 2, 3, 4 and 5. Of these, four sentences, when arranged properly, make a meaningful and coherent paragraph. Identify the odd one out.

1. Even where the advancer of the art was also a psychologist, the pedagogics and the psychology ran side by side, and the former was not derived in any sense from the latter.

2. To know psychology, therefore, is absolutely no guarantee that we shall be good teachers.

3. The art of teaching grew up in the schoolroom, out of inventiveness and sympathetic concrete observation.

4. That ingenuity in meeting and pursuing the pupil, that tact for the concrete situation, though they are the alpha and omega of the teacher's art, are things to which psychology cannot help us in the least.

5. The two were congruent, but neither was subordinate.
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt

The four sentences (labelled 1, 2, 3, and 4) below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. Yet, its implications in disrupting traditional power structures are often grossly underestimated.

2. The digital revolution, much like previous revolutions, has been a source of profound economic and social transformation.

3. Historically, revolutions have redefined space for innovation and freedom, creating unforeseen opportunities for decentralization.

4. Conversely, it opens a Pandora's Box of heightened surveillance, control, and societal imbalance, overshadowing its emancipatory potential.

The four sentences (labelled 1, 2, 3, and 4) below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. Yet, its implications in disrupting traditional power structures are often grossly underestimated.

2. The digital revolution, much like previous revolutions, has been a source of profound economic and social transformation.

3. Historically, revolutions have redefined space for innovation and freedom, creating unforeseen opportunities for decentralization.

4. Conversely, it opens a Pandora's Box of heightened surveillance, control, and societal imbalance, overshadowing its emancipatory potential.
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt

The four sentences (labelled 1, 2, 3, and 4) below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. This shift necessitates an interrogation of traditional economic models, demanding innovative perspectives on wealth and productivity.

2. As automation and artificial intelligence take center stage, the global workforce faces unprecedented transformation.

3. Thus, nations grapple with the intricacies of integrating rapidly evolving technology into an already fragile global economy.

4. Interestingly, these advancements could herald a new era where human potential is optimized, redefining conventional work boundaries.

The four sentences (labelled 1, 2, 3, and 4) below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

1. This shift necessitates an interrogation of traditional economic models, demanding innovative perspectives on wealth and productivity.

2. As automation and artificial intelligence take center stage, the global workforce faces unprecedented transformation.

3. Thus, nations grapple with the intricacies of integrating rapidly evolving technology into an already fragile global economy.

4. Interestingly, these advancements could herald a new era where human potential is optimized, redefining conventional work boundaries.
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

In the last two decades, the phenomenon of 'digital nomads' has emerged, signifying a deeper change in conceptions of work and life. These individuals leverage technology to work remotely, often traveling globally. While this lifestyle offers unprecedented freedom and flexibility, it also entails significant downsides. Digital nomads frequently face issues related to psychological isolation, unpredictable finances, and the absence of a stable community. This lifestyle, embodying a post-modernist rebellion against traditional 9-5 jobs, questions the very fabric of societal norms but also underscores the human yearning for connection, stability, and security.

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

In the last two decades, the phenomenon of 'digital nomads' has emerged, signifying a deeper change in conceptions of work and life. These individuals leverage technology to work remotely, often traveling globally. While this lifestyle offers unprecedented freedom and flexibility, it also entails significant downsides. Digital nomads frequently face issues related to psychological isolation, unpredictable finances, and the absence of a stable community. This lifestyle, embodying a post-modernist rebellion against traditional 9-5 jobs, questions the very fabric of societal norms but also underscores the human yearning for connection, stability, and security.
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

Artificial intelligence (AI) in healthcare is a revolutionary force, with the potential to significantly cut costs and improve patient outcomes. By analyzing vast datasets beyond human capability, AI can identify patterns and predictions invaluable for diagnosis and treatment strategies. However, this innovation comes with caveats. Concerns about data privacy, algorithm biases, and a potential decrease in face-to-face patient care necessitate careful integration of AI, with an emphasis on ethics and quality of human interaction to complement technological prowess.

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

Artificial intelligence (AI) in healthcare is a revolutionary force, with the potential to significantly cut costs and improve patient outcomes. By analyzing vast datasets beyond human capability, AI can identify patterns and predictions invaluable for diagnosis and treatment strategies. However, this innovation comes with caveats. Concerns about data privacy, algorithm biases, and a potential decrease in face-to-face patient care necessitate careful integration of AI, with an emphasis on ethics and quality of human interaction to complement technological prowess.
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

Climate change-induced migration is becoming a stark reality. As habitats become inhospitable, mass movements of populations are causing geopolitical tensions. Wealthier nations are building barriers, both legal and physical, against migrants whom they perceive as threats to economic stability and social identity. This approach is short-sighted, ignoring the shared responsibility of humankind in climate change and the universal rights of those displaced. A more humane and sustainable approach would be global cooperation towards climate solutions, acknowledging the interconnectedness of our environmental actions.

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

Climate change-induced migration is becoming a stark reality. As habitats become inhospitable, mass movements of populations are causing geopolitical tensions. Wealthier nations are building barriers, both legal and physical, against migrants whom they perceive as threats to economic stability and social identity. This approach is short-sighted, ignoring the shared responsibility of humankind in climate change and the universal rights of those displaced. A more humane and sustainable approach would be global cooperation towards climate solutions, acknowledging the interconnectedness of our environmental actions.
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt

Suppose the total number of people following any sports club was as low as possible, what is the difference between the number of people who follow exactly 2 clubs and those who follow exactly 4 clubs?

Suppose the total number of people following any sports club was as low as possible, what is the difference between the number of people who follow exactly 2 clubs and those who follow exactly 4 clubs?
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt

If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?

If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt

If the following data is additionally given, which of the following can be a possible number of people who followed all but CSK?

1. Every person follows at least one club.
2. No person follows exactly 2 clubs.
3. The number of persons who follow all but RCB is 49.
4. The number of persons who follow all but SRH is 53.
5. The number of persons who follow all but KKR is 37.
6. The total number of people in the sports club is 1307.

If the following data is additionally given, which of the following can be a possible number of people who followed all but CSK?

1. Every person follows at least one club.
2. No person follows exactly 2 clubs.
3. The number of persons who follow all but RCB is 49.
4. The number of persons who follow all but SRH is 53.
5. The number of persons who follow all but KKR is 37.
6. The total number of people in the sports club is 1307.
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt

If the total number of people in the sports club is 1306, and everyone follows a minimum of one of the four clubs and the number of people who support all 4 clubs is the maximum, what is the ratio of the number of people who follow only RCB to those who follow only SRH?

If the total number of people in the sports club is 1306, and everyone follows a minimum of one of the four clubs and the number of people who support all 4 clubs is the maximum, what is the ratio of the number of people who follow only RCB to those who follow only SRH?
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt

Who among the following is definitely a neighbour of A in session 1?

Who among the following is definitely a neighbour of A in session 1?
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt

Who is sitting opposite E in Session 2?

Who is sitting opposite E in Session 2?
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt

How many people are definitely moving to one of their adjacent positions in Session 2 as compared to Session 1?

How many people are definitely moving to one of their adjacent positions in Session 2 as compared to Session 1?
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt

If E is sitting to the immediate left of G in the second session, who was sitting one seat to the left of A in the first session?

If E is sitting to the immediate left of G in the second session, who was sitting one seat to the left of A in the first session?
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt

What is the square root of TS? (Enter the closest integer if in decimal)

What is the square root of TS? (Enter the closest integer if in decimal)
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt

Which letter among the following has the highest value of digit associated with it?

Which letter among the following has the highest value of digit associated with it?
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt

The values of which of the following letters if exchanged with S will lead to the maximum change in the value of Scorpio? (Consider this independently and after the values have been assigned to the letters.)

The values of which of the following letters if exchanged with S will lead to the maximum change in the value of Scorpio? (Consider this independently and after the values have been assigned to the letters.)
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt

How many factors does the number CO have?

How many factors does the number CO have?
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt

What can be the cumulative score of G?

What can be the cumulative score of G?
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt

What is rank of country C?

Enter -1 if the answer can't be determined.

What is rank of country C?

Enter -1 if the answer can't be determined.
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt

What is cumulative score of E?

What is cumulative score of E?
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt

How many possible tables can be made from above given information?

How many possible tables can be made from above given information?
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt

The profit of a company is equal to Revenue – Cost

Q. If the cost in Q1 is $ 15 Million. The profit in the 4 quarters Q1, Q2, Q3, Q4 are in the ratio of 1 : 2 : 

3 : 2. Then find the total cost in Q2 & Q4

The profit of a company is equal to Revenue – Cost

Q. If the cost in Q1 is $ 15 Million. The profit in the 4 quarters Q1, Q2, Q3, Q4 are in the ratio of 1 : 2 : 

3 : 2. Then find the total cost in Q2 & Q4
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt

The profit of a company is equal to Revenue – Cost

Q. If the cost in Q1 is $ 15 Million. The profit in the 4 quarters Q1, Q2, Q3, Q4 are in the ratio of 1 : 2 : 3 : 2., then find the % increase in cost from Q2 to Q4?

The profit of a company is equal to Revenue – Cost

Q. If the cost in Q1 is $ 15 Million. The profit in the 4 quarters Q1, Q2, Q3, Q4 are in the ratio of 1 : 2 : 3 : 2., then find the % increase in cost from Q2 to Q4?
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt

The profit of a company is equal to Revenue – Cost

Q. Because of Global Financial turmoil, ABC company is projecting total revenue for 2023 to be down by 14.29% with respect to 2022 and the ratio of the projected revenues in Q1, Q2, Q3 & Q4 is 2 : 3 : 3 :4.

Then find out the projected revenue from Q4 in 2023.

The profit of a company is equal to Revenue – Cost

Q. Because of Global Financial turmoil, ABC company is projecting total revenue for 2023 to be down by 14.29% with respect to 2022 and the ratio of the projected revenues in Q1, Q2, Q3 & Q4 is 2 : 3 : 3 :4.

Then find out the projected revenue from Q4 in 2023.
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt

The profit of a company is equal to Revenue – Cost

Q. Because of Global Financial turmoil, ABC company is projecting total revenue for 2023 to be down by 14.29% with respect to 2022 and the ratio of the projected revenues in Q1, Q2, Q3 & Q4 is 2 : 3 : 3 :4, if the quarterly costs in Q1, Q2, Q3 & Q4 are in the ratio of 1 : 2 : 1 : 2 respectively and the savings are in the ratio of 1 : 1 between Q3 and Q4 then find the total projected savings of Q1 & Q4 combined in 2023 (in $ Million)

The profit of a company is equal to Revenue – Cost

Q. Because of Global Financial turmoil, ABC company is projecting total revenue for 2023 to be down by 14.29% with respect to 2022 and the ratio of the projected revenues in Q1, Q2, Q3 & Q4 is 2 : 3 : 3 :4, if the quarterly costs in Q1, Q2, Q3 & Q4 are in the ratio of 1 : 2 : 1 : 2 respectively and the savings are in the ratio of 1 : 1 between Q3 and Q4 then find the total projected savings of Q1 & Q4 combined in 2023 (in $ Million)
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt

A milkman has 2 varieties of milk-water solution, solution A has 65% pure milk and solution B has 78% pure milk. He is mixing x mL of solution A with y mL of solution B such that the resultant solution has no less than 70% pure milk and no more than 72% pure milk. If y can take any value between 625mL and 630mL, both inclusive, what is the difference between the minimum and maximum value x can take? It is given that x and y are both integers.

A milkman has 2 varieties of milk-water solution, solution A has 65% pure milk and solution B has 78% pure milk. He is mixing x mL of solution A with y mL of solution B such that the resultant solution has no less than 70% pure milk and no more than 72% pure milk. If y can take any value between 625mL and 630mL, both inclusive, what is the difference between the minimum and maximum value x can take? It is given that x and y are both integers.
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt

A survey was conducted in a society to get an estimate of how many people read the following newspapers, The Telegraph, The Economic Times and The Times of India. It was found out that 20% of people of the society read The Telegraph, 30% of people of the society read The Economic Times and 40% of the people of the society read The Times of India. If the society had a total of 600 people, what can be the maximum number of people in the society who read none of the newspapers?

A survey was conducted in a society to get an estimate of how many people read the following newspapers, The Telegraph, The Economic Times and The Times of India. It was found out that 20% of people of the society read The Telegraph, 30% of people of the society read The Economic Times and 40% of the people of the society read The Times of India. If the society had a total of 600 people, what can be the maximum number of people in the society who read none of the newspapers?
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt

In a certain country, all the people are fans of exactly one of the following clubs, Real Madrid, Barcelona and Juventus. The percentage of people who follow Real Madrid is 60%. Out of these, 80% are followers of Cristiano. In the transfer season, Cristiano moved to Juventus. As a result, 50% of the Real Madrid followers who followed Cristiano stopped following Real Madrid and started following Juventus. Also, 25% of the Real Madrid followers who did not follow Cristiano stopped following Real Madrid and started following Barcelona. If the absolute difference between the final number of Juventus and Barcelona fans is equal to the final number of Real Madrid fans, what percentage of the population of the country initially followed Barcelona?

In a certain country, all the people are fans of exactly one of the following clubs, Real Madrid, Barcelona and Juventus. The percentage of people who follow Real Madrid is 60%. Out of these, 80% are followers of Cristiano. In the transfer season, Cristiano moved to Juventus. As a result, 50% of the Real Madrid followers who followed Cristiano stopped following Real Madrid and started following Juventus. Also, 25% of the Real Madrid followers who did not follow Cristiano stopped following Real Madrid and started following Barcelona. If the absolute difference between the final number of Juventus and Barcelona fans is equal to the final number of Real Madrid fans, what percentage of the population of the country initially followed Barcelona?
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt

If a function f(x) is defined as h(x+1), where h(x) is a real function. g(x) is defined as f(x+1). If g(x+1) = x2 + 6x + 10

Find the value of h(5).

If a function f(x) is defined as h(x+1), where h(x) is a real function. g(x) is defined as f(x+1). If g(x+1) = x2 + 6x + 10

Find the value of h(5).
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt

If ax = b, by = c and cz = a, find the value of xyz.

If ax = b, by = c and cz = a, find the value of xyz.
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt

A square, ABCD has a side of length 12 cm each. An equilateral triangle, MAB exists such that M is outside the square ABCD. If a circle is drawn in such a way that it passes through the points M, C and D, then what will be the radius of that circle?

A square, ABCD has a side of length 12 cm each. An equilateral triangle, MAB exists such that M is outside the square ABCD. If a circle is drawn in such a way that it passes through the points M, C and D, then what will be the radius of that circle?
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt

A man is standing facing the north. He moves 45 metres east and then turns to his left and moves 50 metres in that direction. He then turns 45 degrees towards his right and moves a distance of 45√2 metres in that direction. He then turns 135 degrees to his right and walked a distance of 20 metres in that direction. Finally, he turns 45 degrees to the left and walks a distance of 50√2 metres. He stops at this point. What is the shortest distance(in metres) that he needs to travel from this point to reach his starting point?

A man is standing facing the north. He moves 45 metres east and then turns to his left and moves 50 metres in that direction. He then turns 45 degrees towards his right and moves a distance of 45√2 metres in that direction. He then turns 135 degrees to his right and walked a distance of 20 metres in that direction. Finally, he turns 45 degrees to the left and walks a distance of 50√2 metres. He stops at this point. What is the shortest distance(in metres) that he needs to travel from this point to reach his starting point?
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt

A solid hemisphere of radius 0.3 metres is molten and recast into small hollow cylinders, with an outer diameter of 14 cm, an inner diameter of 6 cm and a height of 2.5 cm. What is the maximum number of hollow cylinders that can be formed?

A solid hemisphere of radius 0.3 metres is molten and recast into small hollow cylinders, with an outer diameter of 14 cm, an inner diameter of 6 cm and a height of 2.5 cm. What is the maximum number of hollow cylinders that can be formed?
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt

A circle is inscribed in a right triangle ABC, where the right angle is at point C as shown. The circle is tangent to the segment AB at D and the lengths of the segments DB and AD are 7 cm and 13 cm, respectively. Find the area of the triangle (in sq. cm).

A circle is inscribed in a right triangle ABC, where the right angle is at point C as shown. The circle is tangent to the segment AB at D and the lengths of the segments DB and AD are 7 cm and 13 cm, respectively. Find the area of the triangle (in sq. cm).
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt

What is the area (in sq units) bound between the following regions?
|y| ≥ |x|
y ≥ 0
x2 + y2 ≤ 49

What is the area (in sq units) bound between the following regions?
|y| ≥ |x|
y ≥ 0
x2 + y2 ≤ 49
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt

How many integers do not satisfy the following inequation?

|x|3 + 8x2 + 5|x| - 50 > 0

How many integers do not satisfy the following inequation?

|x|3 + 8x2 + 5|x| - 50 > 0
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt

If the value of log25 is a, the value of log180 is b, and the value of log750 is ma + nb, where m and n are constants, find the value of m + n.

If the value of log25 is a, the value of log180 is b, and the value of log750 is ma + nb, where m and n are constants, find the value of m + n.
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt

The cost of booking a football turf for 5 hours, a badminton court for 6 hours and a tennis court for 9 hours is Rs.7300. The cost of booking a football turf for 7 hours, a badminton court for 2 hours and a tennis court for 3 hours is Rs.3500. In a mega tournament, the organising committee needs to book the football turf for 50 hours, the badminton court for 28 hours and the tennis court for 42 hours. What is the total cost spent on booking?

The cost of booking a football turf for 5 hours, a badminton court for 6 hours and a tennis court for 9 hours is Rs.7300. The cost of booking a football turf for 7 hours, a badminton court for 2 hours and a tennis court for 3 hours is Rs.3500. In a mega tournament, the organising committee needs to book the football turf for 50 hours, the badminton court for 28 hours and the tennis court for 42 hours. What is the total cost spent on booking?
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt

If log7 log6 log5 a = 0 and log4 log3 logb a = 0 , find the sum of a and b.

If log7 log6 log5 a = 0 and log4 log3 logb a = 0 , find the sum of a and b.
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt

What is the number of ways in which 253647 can be expressed as the product of 2 numbers which are not prime(order of numbers is not important)?

What is the number of ways in which 253647 can be expressed as the product of 2 numbers which are not prime(order of numbers is not important)?
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt

Harry got the order to make two xerox copies of a certain book. For the first copy, he took help from Mr. Z for the first half and for the second half, Harry took help from Mr. X and Mr. Y each of whom is twice efficient as compared to Mr. Z. He xeroxed the second copy by himself without any help. If Harry earned three quarter of profit, then what is the ratio of the efficiency of Harry to that of Mr. Z?

Harry got the order to make two xerox copies of a certain book. For the first copy, he took help from Mr. Z for the first half and for the second half, Harry took help from Mr. X and Mr. Y each of whom is twice efficient as compared to Mr. Z. He xeroxed the second copy by himself without any help. If Harry earned three quarter of profit, then what is the ratio of the efficiency of Harry to that of Mr. Z?
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt

If the dictionary ranking of a word 'RONALD_' among all the seven letter words formed by using the same letters is 4155, which of the following English alphabets can replace the _?

If the dictionary ranking of a word 'RONALD_' among all the seven letter words formed by using the same letters is 4155, which of the following English alphabets can replace the _?
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt

In a set of consecutive odd numbers, the average of the first 'n' numbers is 'A', and the average of the first 'm' numbers (where 'm' is greater than 'n') is 'B'. If the sum of the first 'm' numbers is 'S', what is the average of the odd numbers from 'n + 1' to 'm' in terms of 'A', 'B', and 'S'?

In a set of consecutive odd numbers, the average of the first 'n' numbers is 'A', and the average of the first 'm' numbers (where 'm' is greater than 'n') is 'B'. If the sum of the first 'm' numbers is 'S', what is the average of the odd numbers from 'n + 1' to 'm' in terms of 'A', 'B', and 'S'?
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt

Find the sum of the following series up to 50 terms:

3, 1, -2, -6, -11, -17,....

Find the sum of the following series up to 50 terms:

3, 1, -2, -6, -11, -17,....
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt

2 shopkeepers A and B sell similar articles. Both the shopkeepers buy the articles at the rate of 60 articles for Rs.40. A sells the articles at 60 for Rs.50, whereas B marks up the price of each article by 50% and then offers a 20% discount. What is the ratio of the number of articles A has to sell and the number of articles B has to sell to obtain the same profit?

2 shopkeepers A and B sell similar articles. Both the shopkeepers buy the articles at the rate of 60 articles for Rs.40. A sells the articles at 60 for Rs.50, whereas B marks up the price of each article by 50% and then offers a 20% discount. What is the ratio of the number of articles A has to sell and the number of articles B has to sell to obtain the same profit?
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt

If the number of distinct real roots of the following equation is n, find the value of n.

x4 + x3 - 3x2 - x + 2 = 0

If the number of distinct real roots of the following equation is n, find the value of n.

x4 + x3 - 3x2 - x + 2 = 0
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt

How many 4 digit numbers, having all distinct digits exist, such that the digits are all in ascending order?

How many 4 digit numbers, having all distinct digits exist, such that the digits are all in ascending order?
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