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HPPSC HPAS Prelims Paper 2 Mock Test - 6 - HPPSC HPAS (Himachal Pardesh) MCQ


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30 Questions MCQ Test - HPPSC HPAS Prelims Paper 2 Mock Test - 6

HPPSC HPAS Prelims Paper 2 Mock Test - 6 for HPPSC HPAS (Himachal Pardesh) 2024 is part of HPPSC HPAS (Himachal Pardesh) preparation. The HPPSC HPAS Prelims Paper 2 Mock Test - 6 questions and answers have been prepared according to the HPPSC HPAS (Himachal Pardesh) exam syllabus.The HPPSC HPAS Prelims Paper 2 Mock Test - 6 MCQs are made for HPPSC HPAS (Himachal Pardesh) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for HPPSC HPAS Prelims Paper 2 Mock Test - 6 below.
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HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 1

Directions (Q. 1-8)  Read the following two passages and answer the items that follow each passage. Your answers to these items should be based on these passages only.

Passage 1

"Rent-seeking" is what economists call a special type of money-making: the sort made possible by political connections. This can range from outright graft to a lack of competition, poor regulation and the transfer of public assets to firms at bargain prices. Well-placed people have made their fortunes this way ever since rulers had enough power to issue profitable licences, permits and contracts to their cronies. In America, this system reached its apogee in the late 19th century, and a long and partially successful struggle against robber barons ensued. Antitrust rules broke monopolies such as John D. Rockefeller's Standard Oil. The flow of bribes to senators shrank.

In the emerging world, the past quarter-century has been great for rent-seekers. Soaring property prices have enriched developers who rely on approvals for projects. The commodities boom has inflated the value of oilfields and mines, which are invariably intertwined with the state. Some privatisations have let tycoon's milk monopolies or get assets cheaply. The links between politics and wealth are plainly visible in China, where a third of billionaires are party members.

Capitalism based on rent-seeking is not just unfair, but also bad for long-term growth. As our briefing on India explains, resources are misallocated: crummy roads are often the work of crony firms. Competition is repressed: Mexicans pay too much for their phones. Dynamic new firms are stifled by better-connected incumbents. And if linked to the financing of politics, rent-heavy capitalism sets a tone at the top that can let petty graft flourish. When ministers are on the take, why shouldn't underpaid junior officials be?

 

Q. Which of the following statements are valid with reference to the above passage?

1. Rent seeking was a fortune maker for the ruler's cronies

2. Only politicians can make money by seeking rent.   

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 1

The correct answer is 'Rent seeking was a fortune maker for the ruler's cronies'. "Rent-seeking" is what economists call a special type of money-making: the sort made possible by political connections. This can range from outright graft to a lack of competition, poor regulation and the transfer of public assets to firms at bargain prices. Well-placed people have made their fortunes this way ever since rulers had enough power to issue profitable licences, permits and contracts to their cronies.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 2

What is La Niña commonly associated with in terms of climate impacts?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 2

La Niña is characterized by stronger than usual trade winds, which push warmer waters towards the western Pacific, resulting in cooler than normal sea surface temperatures in the eastern Pacific. This phenomenon often leads to increased rainfall in regions such as Southeast Asia, northern Australia, and parts of South America. Consequently, countries like India may experience above-average rainfall during La Niña events, which enhances the monsoon system.

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HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 3

What is one major consequence of El Niño events on Indian agriculture?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 3

El Niño events typically correlate with below-average monsoon rainfall in India, leading to drought conditions in many regions. This can severely impact agriculture, as reduced rainfall affects crop yields and water availability for irrigation. As a result, farmers may face significant challenges, including diminished food production and economic hardship.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 4

Which of the following describes the Coriolis Effect?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 4

The Coriolis Effect is caused by the Earth's rotation, leading to the slanting of wind trajectories. In the northern hemisphere, winds are deflected to the right, causing them to flow southwesterly, while in the southern hemisphere, they flow northwesterly. This phenomenon is crucial for understanding global wind patterns, including the behavior of trade winds.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 5

Which areas are particularly vulnerable to landslides in India?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 5

The northeastern region of India, characterized by hilly terrain, is particularly vulnerable to landslides. According to geological assessments, about 42% of the country's landslide-prone area is located here. The combination of steep slopes and heavy rainfall contributes to the high incidence of landslides, especially during the monsoon season.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 6

What is a significant natural trigger for landslides?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 6

Heavy rainfall is one of the most common natural triggers for landslides. When rainfall saturates the soil, it increases pore water pressure, making the ground unstable and more susceptible to sliding. This phenomenon is particularly dangerous in hilly areas where steep slopes are present, leading to sudden and rapid movements of soil and debris.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 7

How does climate change potentially affect the El Niño-Southern Oscillation (ENSO) cycles?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 7

Climate change is expected to alter mean oceanic conditions, which may lead to an increase in the frequency and intensity of El Niño events. Studies suggest that global warming can disrupt the natural cycles of ocean currents and temperatures, which play a crucial role in the dynamics of ENSO. This has implications for weather patterns and extreme climate events worldwide.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 8

What is the primary purpose of the Model Code of Conduct (MCC) issued by the Election Commission of India (ECI)?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 8

The Model Code of Conduct (MCC) serves as a set of guidelines designed to regulate the behavior of political parties and candidates during election campaigns and polling. Its aim is to ensure free and fair elections by setting standards of conduct, rather than being a statutory law enforceable by legal penalties. This distinction is important as it highlights the MCC's role in promoting ethical political practices.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 9

Which of the following is a significant concern regarding the efficacy of the Model Code of Conduct (MCC)?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 9

A major concern regarding the MCC is that political leaders have become adept at exploiting loopholes, allowing them to operate in a gray area where they can violate the spirit of the MCC without facing consequences. This undermines the effectiveness of the MCC and diminishes public confidence in the electoral process.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 10

What change was introduced to the Model Code of Conduct in 2019?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 10

The 2019 amendment to the MCC included instructions for political parties not to issue promises that are 'repugnant to the ideals of the Constitution'. This change aims to align political commitments with constitutional values, enhancing the integrity of election manifestos.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 11

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 11

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 12

Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

College : Student :: Hospital : ?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 12

As Students read in College similarly Patients are treated in Hospital.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 13

Read the information given below carefully and answer the following question.

Climate change has triggered the development of renewables and electric vehicles. Whether these vehicles spread as rapidly as predicted, over the next few years they will crowd out the demand for oil substantially. And if climate change concerns intensify, the transformation of the world oil market could be even faster. Even more so if other new technologies, like fuel cells, hydrogen-based power generation, ride sharing and autonomous driving also take off. So even though it is hard to say which way oil prices will go next week or next month, by 2040 oil will be much cheaper than it is today. 

Q. Which of the following is the most rational inference from the above passage?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 13

(a) is incorrect as the passage says that the concerns regarding climate change will contribute to reduction of oil prices and not the other way round. Hence, it is a distortion of the true meaning of the passage.
(b) is incorrect as oil being the only contributor to climate change cannot be sufficiently deduced from the passage.
(c) is incorrect as the passage only predicts the reduction in oil prices and not the complete uselessness of oil in the future.
(d) is correct as the passage discusses how the demand of oil will reduce substantially due to use of new technologies developed due to climate change and may reduce quicker with the rise in the climate change concerns and further innovation and predicts that by 2040, the price of oil will be a lot less than what it is now. Hence, the rise in climate change concerns and consequential changes would result in reduction of oil prices in the future.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 14

Passage 1

"Rent-seeking" is what economists call a special type of money-making: the sort made possible by political connections. This can range from outright graft to a lack of competition, poor regulation and the transfer of public assets to firms at bargain prices. Well-placed people have made their fortunes this way ever since rulers had enough power to issue profitable licences, permits and contracts to their cronies. In America, this system reached its apogee in the late 19th century, and a long and partially successful struggle against robber barons ensued. Antitrust rules broke monopolies such as John D. Rockefeller's Standard Oil. The flow of bribes to senators shrank.

In the emerging world, the past quarter-century has been great for rent-seekers. Soaring property prices have enriched developers who rely on approvals for projects. The commodities boom has inflated the value of oilfields and mines, which are invariably intertwined with the state. Some privatisations have let tycoon's milk monopolies or get assets cheaply. The links between politics and wealth are plainly visible in China, where a third of billionaires are party members.

Capitalism based on rent-seeking is not just unfair, but also bad for long-term growth. As our briefing on India explains, resources are misallocated: crummy roads are often the work of crony firms. Competition is repressed: Mexicans pay too much for their phones. Dynamic new firms are stifled by better-connected incumbents. And if linked to the financing of politics, rent-heavy capitalism sets a tone at the top that can let petty graft flourish. When ministers are on the take, why shouldn't underpaid junior officials be?

 

Q. According to the passage, which of the following statement(s) are NOT correct?

1. The rent seeking system ended the struggle against robber barons in America

2. China exemplifies the close relationship between politics and wealth

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 14

The rent seeking system ended the struggle against robber barons in America. "Rent-seeking" is what economists call a special type of money-making: the sort made possible by political connections. This can range from outright graft to a lack of competition, poor regulation and the transfer of public assets to firms at bargain prices. Well-placed people have made their fortunes this way ever since rulers had enough power to issue profitable licences, permits and contracts to their cronies. In America, this system reached its apogee in the late 19th century, and a long and partially successful struggle against robber barons ensued.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 15

Passage 1

"Rent-seeking" is what economists call a special type of money-making: the sort made possible by political connections. This can range from outright graft to a lack of competition, poor regulation and the transfer of public assets to firms at bargain prices. Well-placed people have made their fortunes this way ever since rulers had enough power to issue profitable licences, permits and contracts to their cronies. In America, this system reached its apogee in the late 19th century, and a long and partially successful struggle against robber barons ensued. Antitrust rules broke monopolies such as John D. Rockefeller's Standard Oil. The flow of bribes to senators shrank.

In the emerging world, the past quarter-century has been great for rent-seekers. Soaring property prices have enriched developers who rely on approvals for projects. The commodities boom has inflated the value of oilfields and mines, which are invariably intertwined with the state. Some privatisations have let tycoon's milk monopolies or get assets cheaply. The links between politics and wealth are plainly visible in China, where a third of billionaires are party members.

Capitalism based on rent-seeking is not just unfair, but also bad for long-term growth. As our briefing on India explains, resources are misallocated: crummy roads are often the work of crony firms. Competition is repressed: Mexicans pay too much for their phones. Dynamic new firms are stifled by better-connected incumbents. And if linked to the financing of politics, rent-heavy capitalism sets a tone at the top that can let petty graft flourish. When ministers are on the take, why shouldn't underpaid junior officials be?

 

Q. The reason petty corruption in politics flourished is :

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 15

The reason petty corruption in politics flourished is because rent heavy capitalism involving bribing ministers sets such a tone that the junior officials do not hesitate to take bribes.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 16

Passage 1

"Rent-seeking" is what economists call a special type of money-making: the sort made possible by political connections. This can range from outright graft to a lack of competition, poor regulation and the transfer of public assets to firms at bargain prices. Well-placed people have made their fortunes this way ever since rulers had enough power to issue profitable licences, permits and contracts to their cronies. In America, this system reached its apogee in the late 19th century, and a long and partially successful struggle against robber barons ensued. Antitrust rules broke monopolies such as John D. Rockefeller's Standard Oil. The flow of bribes to senators shrank.

In the emerging world, the past quarter-century has been great for rent-seekers. Soaring property prices have enriched developers who rely on approvals for projects. The commodities boom has inflated the value of oilfields and mines, which are invariably intertwined with the state. Some privatisations have let tycoon's milk monopolies or get assets cheaply. The links between politics and wealth are plainly visible in China, where a third of billionaires are party members.

Capitalism based on rent-seeking is not just unfair, but also bad for long-term growth. As our briefing on India explains, resources are misallocated: crummy roads are often the work of crony firms. Competition is repressed: Mexicans pay too much for their phones. Dynamic new firms are stifled by better-connected incumbents. And if linked to the financing of politics, rent-heavy capitalism sets a tone at the top that can let petty graft flourish. When ministers are on the take, why shouldn't underpaid junior officials be?

 

Q. Which of the following is caused by rent heavy Capitalism?

1. Competition is repressed

2. Inflation occurs

3. Bribery flourishes

4. Long term growth suffer

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 16

B is the correct option.Heavy Capitalism causes Competition is repressed, Inflation occurs and  Long term growth suffer.
“Competition is repressed:....................heavy capitalism sets a tone at the top that can let petty graft flourish.” 

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 17

Passage 2

Newton's surprising success at developing the laws of motion, as well as the development and refinement of other physical laws, led to the idea of scientific determinism. The first expression of this principle was in the beginning of the nineteenth century by Laplace, a French scientist. Laplace argued that if one knew the position and velocity of all the particles in the universe at a given time, the laws of physics would be able to predict the future state of the universe.

Scientific determinism held sway over a great many scientists until the early twentieth century, when the quantum mechanics revolution occurred. Quantum mechanics introduced the world to the idea of the uncertainty principle, which stated that it was impossible to accurately measure both the position and the velocity of a particle at one time. Because Laplace's omniscience could never occur, even in theory, the principle of scientific determinism was thrown into doubt. However, quantum mechanics does allow for a reduced form of scientific determinism. Even though physicists are unable to know precisely where a particle is and what its velocity is, they can determine certain probabilities about its position and velocity. These probabilities are called wave functions. By use of a formula known as the Schrodinger equation, a scientist with the wave function of a particle at a given time can calculate the particle's future wave function. These calculations can give the particle's position or velocity, but not both. Thus, the physicist is in possession of exactly half of the information needed to satisfy Laplace's view of determinism. Unfortunately, under modern physics theories, that is far as any researcher can go in predicting the future.

 

Q. The passage suggests that if scientific determinism were TRUE:

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 17

The end of the first paragraph states that "if one knew the position and velocity of all the particles in the universe at a given time, the laws of physics would be able to predict the future state of the universe." Thus, if scientific determinism were true, scientists in theory could predict the future.

The passage says choice B is not true because of the uncertainty principle, but it does not imply that this fact would be true if determinism were also true.

Choice C is not necessarily true; if scientific determinism were true, it would mean scientists could predict the future in theory, even if practically there were no way to do it.

Choice D is not correct because the equations have nothing to do with determinism.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 18

Passage 2

Newton's surprising success at developing the laws of motion, as well as the development and refinement of other physical laws, led to the idea of scientific determinism. The first expression of this principle was in the beginning of the nineteenth century by Laplace, a French scientist. Laplace argued that if one knew the position and velocity of all the particles in the universe at a given time, the laws of physics would be able to predict the future state of the universe.

Scientific determinism held sway over a great many scientists until the early twentieth century, when the quantum mechanics revolution occurred. Quantum mechanics introduced the world to the idea of the uncertainty principle, which stated that it was impossible to accurately measure both the position and the velocity of a particle at one time. Because Laplace's omniscience could never occur, even in theory, the principle of scientific determinism was thrown into doubt. However, quantum mechanics does allow for a reduced form of scientific determinism. Even though physicists are unable to know precisely where a particle is and what its velocity is, they can determine certain probabilities about its position and velocity. These probabilities are called wave functions. By use of a formula known as the Schrodinger equation, a scientist with the wave function of a particle at a given time can calculate the particle's future wave function. These calculations can give the particle's position or velocity, but not both. Thus, the physicist is in possession of exactly half of the information needed to satisfy Laplace's view of determinism. Unfortunately, under modern physics theories, that is far as any researcher can go in predicting the future

 

Q. According to the passage, wave functions:

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 18

The relevant part of the passage is here: "Even though physicists are unable to know precisely where a particle is and what its velocity is, they can determine certain probabilities about its position and velocity. These probabilities are called wave functions." Since wave functions are probabilities, they present a range of possibilities, as choice C states.

Choice A is contradicted by the passage.

Choice B is incorrect based on the information in the passage.

Choice D is wrong because wave functions only allow scientists to figure out a probability, not the future state.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 19

Passage 2

Newton's surprising success at developing the laws of motion, as well as the development and refinement of other physical laws, led to the idea of scientific determinism. The first expression of this principle was in the beginning of the nineteenth century by Laplace, a French scientist. Laplace argued that if one knew the position and velocity of all the particles in the universe at a given time, the laws of physics would be able to predict the future state ofthe universe.

Scientific determinism held sway over a great many scientists until the early twentieth century, when the quantum mechanics revolution occurred. Quantum mechanics introduced the world to the idea of the uncertainty principle, which stated that it was impossible to accurately measure both the position and the velocity of a particle at one time. Because Laplace's omniscience could never occur, even in theory, the principle of scientific determinism was thrown into doubt. However, quantum mechanics does allow for a reduced form of scientific determinism. Even though physicists are unable to know precisely where a particle is and what its velocity is, they can determine certain probabilities about its position and velocity. These probabilities are called wave functions. By use of a formula known as the Schrodinger equation, a scientist with the wave function of a particle at a given time can calculate the particle's future wave function. These calculations can give the particle's position or velocity, but not both. Thus, the physicist is in possession of exactly half ofthe information needed to satisfy Laplace's view ofdeterminism. Unfortunately, under modern physics theories, that is far as any researcher can go in predicting the future.

 

Q. Which of the following best describes the organization of the passage?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 19

To answer this question, use your analytical reading skills to find the progression of the ideas. The first part of the paragraph introduces the idea of scientific determinism.

Next, the passage states that the principle was thrown into doubt. Finally, the passage indicates that physicists can reach half of the requirements for determinism but no more. That matches choice C best.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 20

Passage 2

Newton's surprising success at developing the laws of motion, as well as the development and refinement of other physical laws, led to the idea of scientific determinism. The first expression of this principle was in the beginning of the nineteenth century by Laplace, a French scientist. Laplace argued that if one knew the position and velocity of all the particles in the universe at a given time, the laws of physics would be able to predict the future state of the universe.

Scientific determinism held sway over a great many scientists until the early twentieth century, when the quantum mechanics revolution occurred. Quantum mechanics introduced the world to the idea of the uncertainty principle, which stated that it was impossible to accurately measure both the position and the velocity of a particle at one time. Because Laplace's omniscience could never occur, even in theory, the principle of scientific determinism was thrown into doubt. However, quantum mechanics does allow for a reduced form of scientific determinism. Even though physicists are unable to know precisely where a particle is and what its velocity is, they can determine certain probabilities about its position and velocity. These probabilities are called wave functions. By use of a formula known as the Schrodinger equation, a scientist with the wave function of a particle at a given time can calculate the particle's future wave function. These calculations can give the particle's position or velocity, but not both. Thus, the physicist is in possession of exactly half of the information needed to satisfy Laplace's view of determinism. Unfortunately, under modern physics theories, that is far as any researcher can go in predicting the future

 

Q. Which of the following, if true, would most strengthen the author's conclusion in the passage's final sentence?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 20

This is an apply the information question. It is similar to a Critical Reasoning strengthen question. The author's conclusion and premise are: Premise: Quantum mechanics introduced the world to the idea of the uncertainty principle, which stated that it was impossible to accurately measure both the position and the velocity of a particle at one time.

Conclusion: Under modern physics theories, exactly half of the information needed to satisfy determinism is available and that is as far as any researcher can go in predicting the future.

This argument relies on the assumption that quantum mechanics is correct and that scientists will never be able to accurately measure both the position and velocity of a particle.

Choice D strengthens the argument by indicating quantum mechanics is in fact correct in its assertions of  uncertainty.

Choice A would weaken the argument by indicating that perhaps quantum mechanics is wrong.

Choice B is irrelevant because the argument hinges on quantum mechanics.

Choice C does not address the author's argument. It introduces another barrier to predicting the future, but is not relevant to the conclusion and premise in the passage.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 21

Directions for the following 4 (four) questions:

Following table shows tea production data of India for various years. Study the following graph and answer the questions.   

Q. Which year has maximum increment in percentage value compared to previous year?  

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 21

Go option wise. Option a is incorrect as value decreases.

Among rest three, increment in b is least so answer is between c and d.

For option c, (60 - 40) / 40 = 0.5 which is 50%

For option d, (40 - 25) / 25 = 0.6 which is 60%

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 22

Following table shows tea production data of India for various years. Study the following graph and answer the questions.

Q. What is percentage increase in production for 2013 when compared with 2008?​

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 22

Actual increment in value is = 80-60 = 20 units

So 20 = x% of 60 which gives value of x as 33.33% which is the required answer

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 23

Following table shows tea production data of India for various years. Study the following graph and answer the questions. 

 

Q. Out of eight years, in how many years production was lesser than simple average of all eight years?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 23

As calculated in last question = sum of all eight years = 170+270 = 440 So average = 440/8 = 55

Answer is 4 as one has to check it with each year.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 24

Following table shows tea production data of India for various years. Study the following graph and answer the questions. 

 

Q. What is difference between simple average of first four years and last four years?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 24

Sum of first four years = 170 Sum of last four years = 270

Difference between them = 100 so difference between averages = 100/4 = 25

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 25

logx(4) = 1/3, then x = ?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 25

In simplified form it becomes x =43 = 64

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 26

The number of solutions of (x2 + 1)2 + 2(x2 + 1) - 3 = 0 is equal to

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 26

Though highest power of x is 4.Number of solutions will not be 4.

Substitute x2 + 1 = t and get quadratic in t. there will be two solutions and only one of them will give x real value.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 27

If f(x) = x - 4, then what is value of f(f(3)) = ?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 27

f(f(3)) means first find value of f(3) and put that again in f() to find final value.

f(3) = 3 - 4 = - 1

f(-1) = - 5 = final answer

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 28

Which of the following has maximum value?

P and Q are two real numbers.  ​

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 28

|number| gives absolute value of number. For example |-4.6| of is 4.6 and |2.4| of is 2.4. so out of all given options |p| + |q| has maximum value.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 29

How many solutions do the equation 1/x + 1/(x + 1) = 1/3 have?

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 29

By simplifying it a quadratic in x is obtained with two real roots.

HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 30

Let f(x) = 2x + 4. Which of the following statements is true?   

Detailed Solution for HPPSC HPAS Prelims Paper 2 Mock Test - 6 - Question 30

y = 2x + 4 is straight line not passing through origin. It cuts x axis at (-2,0) and y axis at (0,4).

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