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Two houses are in front of each other. Both have chimneys on their top. The line joining the chimneys makes an angle of 45° with the ground. How far are the houses from each other if one house is 25m and other is 10m in height?

Correct Answer: 15 m
Height and Distance mcq solution image
In ∠ABR, ∠ARB = 90° and ∠BAR = 45°
Sum of angles of a triangle = 180°
So ∠ABR = 180 - 90 - 45 = 45°
∴ BR = AR
AS = RQ = 10m
Also, BR = BQ - RQ = 25 - 10 = 15m
∴ AR = 15m = Distance between houses

In a street, there are certain number of houses. People in that street are decided to paint their houses with certain colours. If four houses are painted with each colour, then one house will be left without any colour. If five houses are painted with each colour, then one colour will remain. Find the number of houses in that street ?

Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it. The Alaska pipeline starts at the frozen edge of the Arctic Ocean. It stretches southward across the largest and northernmost state in the United States, ending at a remote ice-free seaport village nearly 800 miles from where it begins. It is massive in size and extremely complicated to operate. The steel pipe crosses windswept plains and endless miles of delicate tundra that tops the frozen ground. It weaves through crooked canyons, climbs sheer mountains, plunges over rocky crags, makes its way through thick forests, and passes over or under hundreds of rivers and streams. The pipe is 4 feet in diameter, and up to 2 million barrels (or 84 million gallons) of crude oil can be pumped through it daily. Resting on H-shaped steel racks called "bents", long sections of the pipeline follow a zigzag course high above the frozen earth. Other long sections drop out of sight beneath spongy or rocky ground and return to the surface later on. The pattern of the pipeline's up-and-down route is determined by the often harsh demands of the arctic and subarctic climate, the tortuous lay of the land, and the varied compositions of soil, rock, or permafrost (permanently frozen ground). A little more than half of the pipeline is elevated above the ground. The remainder is buried anywhere from 3 to 12 feet, depending largely upon the type of terrain and the properties of the soil. One of the largest in the world, the pipeline cost approximately $8 billion and is by far the biggest and most expensive construction project ever undertaken by private industry. In fact, no single business could raise that much money, so 8 major oil companies formed a consortium in order to share the costs. Each company controlled oil rights to particular shares of land in the oil fields and paid into the pipeline-construction fund according to the size of its holdings. Today, despite enormous problems of climate, supply shortage, equipment breakdowns, labour disagreements, treacherous terrain, a certain amount of mismanagement, and even theft, the Alaska pipeline has been completed and is operating.
The Alaskan pipeline ends

Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it. The Alaska pipeline starts at the frozen edge of the Arctic Ocean. It stretches southward across the largest and northernmost state in the United States, ending at a remote ice-free seaport village nearly 800 miles from where it begins. It is massive in size and extremely complicated to operate. The steel pipe crosses windswept plains and endless miles of delicate tundra that tops the frozen ground. It weaves through crooked canyons, climbs sheer mountains, plunges over rocky crags, makes its way through thick forests, and passes over or under hundreds of rivers and streams. The pipe is 4 feet in diameter, and up to 2 million barrels (or 84 million gallons) of crude oil can be pumped through it daily. Resting on H-shaped steel racks called "bents", long sections of the pipeline follow a zigzag course high above the frozen earth. Other long sections drop out of sight beneath spongy or rocky ground and return to the surface later on. The pattern of the pipeline's up-and-down route is determined by the often harsh demands of the arctic and subarctic climate, the tortuous lay of the land, and the varied compositions of soil, rock, or permafrost (permanently frozen ground). A little more than half of the pipeline is elevated above the ground. The remainder is buried anywhere from 3 to 12 feet, depending largely upon the type of terrain and the properties of the soil. One of the largest in the world, the pipeline cost approximately $8 billion and is by far the biggest and most expensive construction project ever undertaken by private industry. In fact, no single business could raise that much money, so 8 major oil companies formed a consortium in order to share the costs. Each company controlled oil rights to particular shares of land in the oil fields and paid into the pipeline-construction fund according to the size of its holdings. Today, despite enormous problems of climate, supply shortage, equipment breakdowns, labour disagreements, treacherous terrain, a certain amount of mismanagement, and even theft, the Alaska pipeline has been completed and is operating.
What is the capacity of the Alaskan pipeline?

Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it. The Alaska pipeline starts at the frozen edge of the Arctic Ocean. It stretches southward across the largest and northernmost state in the United States, ending at a remote ice-free seaport village nearly 800 miles from where it begins. It is massive in size and extremely complicated to operate. The steel pipe crosses windswept plains and endless miles of delicate tundra that tops the frozen ground. It weaves through crooked canyons, climbs sheer mountains, plunges over rocky crags, makes its way through thick forests, and passes over or under hundreds of rivers and streams. The pipe is 4 feet in diameter, and up to 2 million barrels (or 84 million gallons) of crude oil can be pumped through it daily. Resting on H-shaped steel racks called "bents", long sections of the pipeline follow a zigzag course high above the frozen earth. Other long sections drop out of sight beneath spongy or rocky ground and return to the surface later on. The pattern of the pipeline's up-and-down route is determined by the often harsh demands of the arctic and subarctic climate, the tortuous lay of the land, and the varied compositions of soil, rock, or permafrost (permanently frozen ground). A little more than half of the pipeline is elevated above the ground. The remainder is buried anywhere from 3 to 12 feet, depending largely upon the type of terrain and the properties of the soil. One of the largest in the world, the pipeline cost approximately $8 billion and is by far the biggest and most expensive construction project ever undertaken by private industry. In fact, no single business could raise that much money, so 8 major oil companies formed a consortium in order to share the costs. Each company controlled oil rights to particular shares of land in the oil fields and paid into the pipeline-construction fund according to the size of its holdings. Today, despite enormous problems of climate, supply shortage, equipment breakdowns, labour disagreements, treacherous terrain, a certain amount of mismanagement, and even theft, the Alaska pipeline has been completed and is operating.
What are "bents"?

Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it. The Alaska pipeline starts at the frozen edge of the Arctic Ocean. It stretches southward across the largest and northernmost state in the United States, ending at a remote ice-free seaport village nearly 800 miles from where it begins. It is massive in size and extremely complicated to operate. The steel pipe crosses windswept plains and endless miles of delicate tundra that tops the frozen ground. It weaves through crooked canyons, climbs sheer mountains, plunges over rocky crags, makes its way through thick forests, and passes over or under hundreds of rivers and streams. The pipe is 4 feet in diameter, and up to 2 million barrels (or 84 million gallons) of crude oil can be pumped through it daily. Resting on H-shaped steel racks called "bents", long sections of the pipeline follow a zigzag course high above the frozen earth. Other long sections drop out of sight beneath spongy or rocky ground and return to the surface later on. The pattern of the pipeline's up-and-down route is determined by the often harsh demands of the arctic and subarctic climate, the tortuous lay of the land, and the varied compositions of soil, rock, or permafrost (permanently frozen ground). A little more than half of the pipeline is elevated above the ground. The remainder is buried anywhere from 3 to 12 feet, depending largely upon the type of terrain and the properties of the soil. One of the largest in the world, the pipeline cost approximately $8 billion and is by far the biggest and most expensive construction project ever undertaken by private industry. In fact, no single business could raise that much money, so 8 major oil companies formed a consortium in order to share the costs. Each company controlled oil rights to particular shares of land in the oil fields and paid into the pipeline-construction fund according to the size of its holdings. Today, despite enormous problems of climate, supply shortage, equipment breakdowns, labour disagreements, treacherous terrain, a certain amount of mismanagement, and even theft, the Alaska pipeline has been completed and is operating.
How was the fund for pipeline - construction generated?

Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it. The Alaska pipeline starts at the frozen edge of the Arctic Ocean. It stretches southward across the largest and northernmost state in the United States, ending at a remote ice-free seaport village nearly 800 miles from where it begins. It is massive in size and extremely complicated to operate. The steel pipe crosses windswept plains and endless miles of delicate tundra that tops the frozen ground. It weaves through crooked canyons, climbs sheer mountains, plunges over rocky crags, makes its way through thick forests, and passes over or under hundreds of rivers and streams. The pipe is 4 feet in diameter, and up to 2 million barrels (or 84 million gallons) of crude oil can be pumped through it daily. Resting on H-shaped steel racks called "bents", long sections of the pipeline follow a zigzag course high above the frozen earth. Other long sections drop out of sight beneath spongy or rocky ground and return to the surface later on. The pattern of the pipeline's up-and-down route is determined by the often harsh demands of the arctic and subarctic climate, the tortuous lay of the land, and the varied compositions of soil, rock, or permafrost (permanently frozen ground). A little more than half of the pipeline is elevated above the ground. The remainder is buried anywhere from 3 to 12 feet, depending largely upon the type of terrain and the properties of the soil. One of the largest in the world, the pipeline cost approximately $8 billion and is by far the biggest and most expensive construction project ever undertaken by private industry. In fact, no single business could raise that much money, so 8 major oil companies formed a consortium in order to share the costs. Each company controlled oil rights to particular shares of land in the oil fields and paid into the pipeline-construction fund according to the size of its holdings. Today, despite enormous problems of climate, supply shortage, equipment breakdowns, labour disagreements, treacherous terrain, a certain amount of mismanagement, and even theft, the Alaska pipeline has been completed and is operating.
Which of the following were not problems faced while constructing the pipeline?

There is a tree between houses of A and B. If the tree leans on A’s House, the tree top rests on his window which is 12 m from ground. If the tree leans on B’s House, the tree top rests on his window which is 9 m from ground. If the height of the tree is 15 m, what is distance between A’s and B’s house?

Read the passage carefully and select the best answer to each question out of the given four alternatives.
What is Gandhian philosophy? It is the religious and social ideas adopted and developed by Gandhi, first during his period in South Africa from 1893 to 1914, and later of course in India. These ideas have been further developed by later "Gandhians", most notably, in India by, Vinoba Bhave and Jayaprakash Narayan. Outside of India some of the work of, for example, Martin Luther King Jr. can also be viewed in this light. Understanding the universe to be an organic whole, the philosophy exists on several planes - the spiritual or religious, moral, political, economic, social, individual and collective. The spiritual or religious element, and God, is at its core. Human nature is regarded as fundamentally virtuous. All individuals are believed to be capable of high moral development, and of reform. The twin cardinal principles of Gandhi's thought are truth and nonviolence. It should be remembered that the English word "truth" is an imperfect translation of the Sanskrit, "satya", and "non-violence", an even more imperfect translation of "ahimsa". Derived from "sat" - "that which exists" - "satya" contains a dimension of meaning not usually associated by English speakers with the word "truth". There are other variations, too, which we need not go into here. For Gandhi, truth is the relative truth of truthfulness in word and deed, and the absolute truth - the Ultimate Reality. This ultimate truth is God (as God is also Truth) and morality - the moral laws and code - its basis. Ahimsa, far from meaning mere peacefulness or the absence of overt violence, is understood by Gandhi to denote active love - the pole opposite of violence, or "Himsa", in every sense. The ultimate station Gandhi assigns non violence stems from two main points. First, if according to the Divine Reality all life is one, then all violence committed towards another is violence towards oneself, towards the collective, whole self, and thus "self"-destructive and counter to the universal law of life, which is love. Second, Gandhi believed that ahimsa is the most powerful force in existence. Had himsa been superior to ahimsa, humankind would long ago have succeeded in destroying itself. The human race certainly could not have progressed as far as it has, even if universal justice remains far off the horizon. From both viewpoints, non violence or love is regarded as the highest law of humankind.
What are the twin cardinal principles of Gandhis thought?

Read the passage carefully and select the best answer to each question out of the given four alternatives.
What is Gandhian philosophy? It is the religious and social ideas adopted and developed by Gandhi, first during his period in South Africa from 1893 to 1914, and later of course in India. These ideas have been further developed by later "Gandhians", most notably, in India by, Vinoba Bhave and Jayaprakash Narayan. Outside of India some of the work of, for example, Martin Luther King Jr. can also be viewed in this light. Understanding the universe to be an organic whole, the philosophy exists on several planes - the spiritual or religious, moral, political, economic, social, individual and collective. The spiritual or religious element, and God, is at its core. Human nature is regarded as fundamentally virtuous. All individuals are believed to be capable of high moral development, and of reform. The twin cardinal principles of Gandhi's thought are truth and nonviolence. It should be remembered that the English word "truth" is an imperfect translation of the Sanskrit, "satya", and "non-violence", an even more imperfect translation of "ahimsa". Derived from "sat" - "that which exists" - "satya" contains a dimension of meaning not usually associated by English speakers with the word "truth". There are other variations, too, which we need not go into here. For Gandhi, truth is the relative truth of truthfulness in word and deed, and the absolute truth - the Ultimate Reality. This ultimate truth is God (as God is also Truth) and morality - the moral laws and code - its basis. Ahimsa, far from meaning mere peacefulness or the absence of overt violence, is understood by Gandhi to denote active love - the pole opposite of violence, or "Himsa", in every sense. The ultimate station Gandhi assigns non violence stems from two main points. First, if according to the Divine Reality all life is one, then all violence committed towards another is violence towards oneself, towards the collective, whole self, and thus "self"-destructive and counter to the universal law of life, which is love. Second, Gandhi believed that ahimsa is the most powerful force in existence. Had himsa been superior to ahimsa, humankind would long ago have succeeded in destroying itself. The human race certainly could not have progressed as far as it has, even if universal justice remains far off the horizon. From both viewpoints, non violence or love is regarded as the highest law of humankind.
According to Gandhiji, truth complies to which of the following?

Read the passage carefully and select the best answer to each question out of the given four alternatives.
What is Gandhian philosophy? It is the religious and social ideas adopted and developed by Gandhi, first during his period in South Africa from 1893 to 1914, and later of course in India. These ideas have been further developed by later "Gandhians", most notably, in India by, Vinoba Bhave and Jayaprakash Narayan. Outside of India some of the work of, for example, Martin Luther King Jr. can also be viewed in this light. Understanding the universe to be an organic whole, the philosophy exists on several planes - the spiritual or religious, moral, political, economic, social, individual and collective. The spiritual or religious element, and God, is at its core. Human nature is regarded as fundamentally virtuous. All individuals are believed to be capable of high moral development, and of reform. The twin cardinal principles of Gandhi's thought are truth and nonviolence. It should be remembered that the English word "truth" is an imperfect translation of the Sanskrit, "satya", and "non-violence", an even more imperfect translation of "ahimsa". Derived from "sat" - "that which exists" - "satya" contains a dimension of meaning not usually associated by English speakers with the word "truth". There are other variations, too, which we need not go into here. For Gandhi, truth is the relative truth of truthfulness in word and deed, and the absolute truth - the Ultimate Reality. This ultimate truth is God (as God is also Truth) and morality - the moral laws and code - its basis. Ahimsa, far from meaning mere peacefulness or the absence of overt violence, is understood by Gandhi to denote active love - the pole opposite of violence, or "Himsa", in every sense. The ultimate station Gandhi assigns non violence stems from two main points. First, if according to the Divine Reality all life is one, then all violence committed towards another is violence towards oneself, towards the collective, whole self, and thus "self"-destructive and counter to the universal law of life, which is love. Second, Gandhi believed that ahimsa is the most powerful force in existence. Had himsa been superior to ahimsa, humankind would long ago have succeeded in destroying itself. The human race certainly could not have progressed as far as it has, even if universal justice remains far off the horizon. From both viewpoints, non violence or love is regarded as the highest law of humankind.
According to Gandhiji, what is the most powerful force in existence?