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One by root two is rational or irrational?
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One by root two is rational or irrational?
Irrational bcoz division of a rational and irrational is always irrational
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By regarding the expanding universe as a motion picture, you can easily imagine running the film backward. If you do so, you find the universe getting smaller and smaller, and eventually you come to the moment when its whole mass is crammed into an infinitely dense point. Before that time it didnt exist, or at least it didnt exist in its present form. Though there is some controversy about its exact age, most cosmologists would be inclined to agree that the universe has existed for about ten to twenty billion years. For scale, this can be compared to the four-and-a-half-billion-year age of the solar system, the time since the disappearance of the dinosaurs (sixty-five million years), and the age of the human race (about three million years). The event that marked the beginning of the universe was christened the Big Bang; the term has now entered the vernacular of our culture. Originally the name referred only to the single initiating event; now, however, astronomers have come to use it to mean the entire developmental process of the birth and expansion of the cosmos. The simple statement that the universe had a beginning in time is by now so obvious to astrophysicists that few give it a second thought. Yet it is a statement that has profound implications. Most civilizations embrace one of two opposite concepts of time. Linear time has a beginning, a duration, and an end; cyclical time, as its name suggests, continues around and around forever. In a universe that functions through cyclical time, the question of creation never arises; the universe always was and always will be. The minute you switch to linear time you immediately confront the vexing question not only of creation, but also of the Creator. Although there is no logical reason for the assumption, many people believe that if something comes into existence, it must do so in response to the actions of some rational being. Because of that belief, astronomers, even though they resist becoming involved in theological discussion, find themselves in one when they posit the Big Bang universe. It puts them squarely in the middle of an age-old debate. One common misconception about the Big Bang that should be disposed of immediately is the notion that the universal expansion is analogous to the explosion of an artillery shell. The galaxies are not like bits of shrapnel speeding away from a central explosion. The raisin-indough analogy is a more satisfactory way to think about the whole process. Directions: Read the above paragraph and answer the following:Q.According to the passage, which of the following statements is NOT true?

By regarding the expanding universe as a motion picture, you can easily imagine running the film backward. If you do so, you find the universe getting smaller and smaller, and eventually you come to the moment when its whole mass is crammed into an infinitely dense point. Before that time it didnt exist, or at least it didnt exist in its present form. Though there is some controversy about its exact age, most cosmologists would be inclined to agree that the universe has existed for about ten to twenty billion years. For scale, this can be compared to the four-and-a-half-billion-year age of the solar system, the time since the disappearance of the dinosaurs (sixty-five million years), and the age of the human race (about three million years). The event that marked the beginning of the universe was christened the Big Bang; the term has now entered the vernacular of our culture. Originally the name referred only to the single initiating event; now, however, astronomers have come to use it to mean the entire developmental process of the birth and expansion of the cosmos.The simple statement that the universe had a beginning in time is by now so obvious to astrophysicists that few give it a second thought. Yet it is a statement that has profound implications. Most civilizations embrace one of two opposite concepts of time. Linear time has a beginning, a duration, and an end; cyclical time, as its name suggests, continues around and around forever. In a universe that functions through cyclical time, the question of creation never arises; the universe always was and always will be. The minute you switch to linear time you immediately confront the vexing question not only of creation, but also of the Creator. Although there is no logical reason for the assumption, many people believe that if something comes into existence, it must do so in response to the actions of some rational being. Because of that belief, astronomers, even though they resist becoming involved in theological discussion, find themselves in one when they posit the Big Bang universe. It puts them squarely in the middle of an age-old debate. One common misconception about the Big Bang that should be disposed of immediately is the notion that the universal expansion is analogous to the explosion of an artillery shell. The galaxies are not like bits of shrapnel speeding away from a central explosion. The raisin-indough analogy is a more satisfactory way to think about the whole process. Directions: Read the above paragraph and answer the following:Q.Why does the author compare the universe to a motion picture?

The paradox of tolerance admonishes us that tolerance of the intolerant leads to intolerance. The Universal Declaration of Human Rights and the constitutions and laws of Western European democracies that adhere to the principle of freedom of speech all heed the warning of this conundrum and do not afford legal protection to extremist speech. While in Western European democracies, the speech of nondemocratic extremists has been successfully outlawed, in the United States the first amendment right to freedom of speech has been interpreted to encompass radical oration. The traditional justifications of this American stance originate in the belief that speech is entitled to greater tolerance than other kinds of activity. They are based on the belief that speech itself is valuable, and thus ascribe positive value to a very broad range of speech.According to the classical model, freedom of speech serves an indispensable function in the process of democratic self-government. From this perspective, the free speech principle need only protect political speech, comprised of all the facts, theories, and opinions relating to any issue on which the citizens must vote. Proponents of this view insist that even extremist views cannot be concealed from voting citizens, if these views bear on any public issue before them.Protection of free speech serves the collective self-interests of a selfgoverning society made up of all rational, equal, and fully participating citizens who take their civic duties seriously. The fortress model is built on a foundation of pessimism, individualism, relativism, and self-doubt. At its deepest level, the fortress model values freedom of speech as a necessary precondition to the discovery and preservation of truth, but even at this level the function of speech remains primarily negative. From this perspective, the government and a majority of the people pose a great danger of intolerance. In spite of the high probability that their beliefs will eventually prove to be false, it is argued, people nonetheless tend to feel certain about them and, consequently, feel justified in requiring others to conform. Thus, the fortress models prescription for combating the tendency to censor nonconforming views is to overprotect speech by providing a broad buffer zone that encompasses extremist speech because its protection substantially diminishes the probability that inherently valuable speech will be suppressed. Directions: Read the above paragraph and answer the followingQ. All of the following actions have been put forth by one or another group in this country as being of value in our society. Which actions would violate a principle of the classical model of free speech?

Once surrounded and protected by vast wilderness, many of the national parks are adversely affected by activities outside their boundaries. The National Park Organic Act established the national park system and empowered the Secretary of the Interior to manage activities within the parks. Conditions outside park boundaries are not subject to regulation by the Park Service unless they involve the direct use of park resources. Several approaches to protecting the national parks from external degradation have been proposed, such as one focusing on enacting federal legislation granting the National Park Service broader powers over lands adjacent to the national parks. Legislation addressing external threats to the national parks twice passed the House of Representatives but died without action in the Senate. Also brought to the table as a possible remedy is giving the states bordering the parks a significant and meaningful role in developing federal park management policy. Because the livelihood of many citizens is linked to the management of national parks, local politicians often encourage state involvement in federal planning. But, state legislatures have not always addressed the fundamental policy issues of whether states should protect park wildlife. Timber harvesting, ranching and energy exploration compete with wildlife within the local ecosystem. Priorities among different land uses are not generally established by current legislation. Additionally, often no mechanism exists to coordinate planning by the state environmental regulatory agencies. These factors limit the impact of legislation aimed at protecting park wildlife and the larger park ecosystemEven if these deficiencies can be overcome, state participation must be consistent with existing federal legislation. States lack jurisdiction within national parks themselves, and therefore state solutions cannot reach activities inside the parks, thus limiting state action to the land adjacent to the national parks. Under the supremacy clause, federal laws and regulations supersede state action if state law conflicts with federal legislation, if Congress precludes local regulation, or if federal regulation is so pervasive that no room remains for state control. Assuming that federal regulations leave open the possibility of state control, state participation in policy making must be harmonized with existing federal legislation.The residents of states bordering national parks are affected by park management policies. They in turn affect the success of those policies. This interrelationship must be considered in responding to the external threats problem. Local participation is necessary in deciding how to protect park wildlife. Local interests should not, however, dictate national policy, nor should they be used as a pretext to ignore the threats to park regions.Direction: Read the above Paragraph and answer the follownig QuetionsQ. What is the main purpose of the author in writing the passage?

Once surrounded and protected by vast wilderness, many of the national parks are adversely affected by activities outside their boundaries. The National Park Organic Act established the national park system and empowered the Secretary of the Interior to manage activities within the parks. Conditions outside park boundaries are not subject to regulation by the Park Service unless they involve the direct use of park resources.Several approaches to protecting the national parks from external degradation have been proposed, such as one focusing on enacting federal legislation granting the National Park Service broader powers over lands adjacent to the national parks. Legislation addressing external threats to the national parks twice passed the House of Representatives but died without action in the Senate. Also brought to the table as a possible remedy is giving the states bordering the parks a significant and meaningful role in developing federal park management policy. Because the livelihood of many citizens is linked to the management of national parks, local politicians often encourage state involvement in federal planning. But, state legislatures have not always addressed the fundamental policy issues of whether states should protect park wildlife. Timber harvesting, ranching and energy exploration compete with wildlife within the local ecosystem. Priorities among different land uses are not generally established by current legislation. Additionally, often no mechanism exists to coordinate planning by the state environmental regulatory agencies. These factors limit the impact of legislation aimed at protecting park wildlife and the larger park ecosystem.Even if these deficiencies can be overcome, state participation must be consistent with existing federal legislation. States lack jurisdiction within national parks themselves, and therefore state solutions cannot reach activities inside the parks, thus limiting state action to the land adjacent to the national parks. Under the supremacy clause, federal laws and regulations supersede state action if state law conflicts with federal legislation, if Congress precludes local regulation, or if federal regulation is so pervasive that no room remains for state control. Assuming that federal regulations leave open the possibility of state control, state participation in policy making must be harmonized with existing federal legislation. The residents of states bordering national parks are affected by park management policies. They in turn affect the success of those policies. This interrelationship must be considered in responding to the external threats problem. Local participation is necessary in deciding how to protect park wildlife. Local interests should not, however, dictate national policy, nor should they be used as a pretext to ignore the threats to park regions.Direction: Read the above Paragraph and answer the follownig QuetionsQ.The passage provides support for which of the following assertions?

One by root two is rational or irrational?
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