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A rectangular paper, when folded into two congruent parts had a perimeter of 34 cm for each part folded along one set of sides and the same is 38 cm when folded along the other set of sides. What is the area of the paper ?

Correct Answer: 140 cm<sup>2</sup>
When folded along breadth, we have :
$$\eqalign{ & 2\left( {\frac{l}{2} \times b} \right) = 34 \cr & or,l + 2b = 34.....(i) \cr} $$
When folded along length, we have :
$$\eqalign{ & 2\left( {l \times \frac{b}{2}} \right) = 38 \cr & or,2l + b = 38.....(ii) \cr} $$
Solving (i) and (ii), we get :
$$l$$ = 14 and b = 10
∴ Area of the paper :
= (14 × 10) cm2
= 140 cm2

A rectangular paper when folded into two congruent parts had a perimeter of 34cm foer each part folded along one set of sides and the same is 38cm. When folded along the other set of sides. What is the area of the paper?

Read the passage carefully and select the best answer to each question out of the given four alternatives.
The Amazon basin has been continuously inhabited for at least 10, 000 years, possibly more. Its earliest inhabitants were stone-age peoples, living in hundreds of far-flung tribes, some tiny, others numbering in the tens of thousands. It was from the west that Europeans explorers first arrived. In 1541 a Spanish expedition from Quito, led by Gonzalo Pizarro, ran short of supplies while exploring east of the Andes in what is today Peru. Pizarros cousin Francisco de Orellana offered to take 60 men along with the boats from the expedition and forage for supplies. De Orellana floated down the Rio Napo to its confluence with the Amazon, near Iquitos (Peru), and then to the mouth of the Amazon. Along the way his expedition suffered numerous attacks by Indians; some of the Indian warriors, they reported, were female, like the Amazons of Greek mythology, and thus the worlds greatest river got its name. No one made a serious effort to claim this sweaty territory, however, until the Portuguese built a fort near the mouth of the river at Belém in 1616, and sent Pedro Teixeira up the river to Quito and back between 1637 and 1639. During the 17th and 18th centuries, Portuguese bandeirantes (groups of roaming adventurers) penetrated ever further into the rain forest in pursuit of gold and Indian slaves, exploring as far as present-day Rondônia, and the Guaporé and Madeira river valleys. Amazonian Indians had long used the sap from rubber trees to make waterproof bags and other items. European explorers recognized the potential value of natural latex, but were unable to market it because it tended to grow soft in the heat, or brittle in the cold, and thus had limited appeal outside the rain forest. However, in 1842 American Charles Goodyear developed vulcanization (made natural rubber durable) and in 1890 Irelands John Dunlop patented pneumatic rubber tires. Soon there was an unquenchable demand for rubber in the recently industrialized USA and Europe, and the price of rubber on international markets soared. As profits skyrocketed, so did exploitation of the seringueiros, or rubber tappers, who were lured into the Amazon, mostly from the drought-stricken northeast, by the promise of prosperity only to be locked into a cruel system of virtual slavery dominated by seringalistas (owners of rubber-bearing forests). Rigged scales, hired guns, widespread illiteracy among the rubber tappers, and monopoly of sales and purchases all combined to perpetuate the workers debt and misery. In addition, seringueiros had to contend with jungle fevers, Indian attacks and all manner of deprivation.
From where did the Europeans explorers first arrive?

Read the passage carefully and select the best answer to each question out of the given four alternatives.
The Amazon basin has been continuously inhabited for at least 10, 000 years, possibly more. Its earliest inhabitants were stone-age peoples, living in hundreds of far-flung tribes, some tiny, others numbering in the tens of thousands. It was from the west that Europeans explorers first arrived. In 1541 a Spanish expedition from Quito, led by Gonzalo Pizarro, ran short of supplies while exploring east of the Andes in what is today Peru. Pizarros cousin Francisco de Orellana offered to take 60 men along with the boats from the expedition and forage for supplies. De Orellana floated down the Rio Napo to its confluence with the Amazon, near Iquitos (Peru), and then to the mouth of the Amazon. Along the way his expedition suffered numerous attacks by Indians; some of the Indian warriors, they reported, were female, like the Amazons of Greek mythology, and thus the worlds greatest river got its name. No one made a serious effort to claim this sweaty territory, however, until the Portuguese built a fort near the mouth of the river at Belém in 1616, and sent Pedro Teixeira up the river to Quito and back between 1637 and 1639. During the 17th and 18th centuries, Portuguese bandeirantes (groups of roaming adventurers) penetrated ever further into the rain forest in pursuit of gold and Indian slaves, exploring as far as present-day Rondônia, and the Guaporé and Madeira river valleys. Amazonian Indians had long used the sap from rubber trees to make waterproof bags and other items. European explorers recognized the potential value of natural latex, but were unable to market it because it tended to grow soft in the heat, or brittle in the cold, and thus had limited appeal outside the rain forest. However, in 1842 American Charles Goodyear developed vulcanization (made natural rubber durable) and in 1890 Irelands John Dunlop patented pneumatic rubber tires. Soon there was an unquenchable demand for rubber in the recently industrialized USA and Europe, and the price of rubber on international markets soared. As profits skyrocketed, so did exploitation of the seringueiros, or rubber tappers, who were lured into the Amazon, mostly from the drought-stricken northeast, by the promise of prosperity only to be locked into a cruel system of virtual slavery dominated by seringalistas (owners of rubber-bearing forests). Rigged scales, hired guns, widespread illiteracy among the rubber tappers, and monopoly of sales and purchases all combined to perpetuate the workers debt and misery. In addition, seringueiros had to contend with jungle fevers, Indian attacks and all manner of deprivation.
Where did De Orellano float down to for its confluence with the Amazon?

Read the passage carefully and select the best answer to each question out of the given four alternatives.
The Amazon basin has been continuously inhabited for at least 10, 000 years, possibly more. Its earliest inhabitants were stone-age peoples, living in hundreds of far-flung tribes, some tiny, others numbering in the tens of thousands. It was from the west that Europeans explorers first arrived. In 1541 a Spanish expedition from Quito, led by Gonzalo Pizarro, ran short of supplies while exploring east of the Andes in what is today Peru. Pizarros cousin Francisco de Orellana offered to take 60 men along with the boats from the expedition and forage for supplies. De Orellana floated down the Rio Napo to its confluence with the Amazon, near Iquitos (Peru), and then to the mouth of the Amazon. Along the way his expedition suffered numerous attacks by Indians; some of the Indian warriors, they reported, were female, like the Amazons of Greek mythology, and thus the worlds greatest river got its name. No one made a serious effort to claim this sweaty territory, however, until the Portuguese built a fort near the mouth of the river at Belém in 1616, and sent Pedro Teixeira up the river to Quito and back between 1637 and 1639. During the 17th and 18th centuries, Portuguese bandeirantes (groups of roaming adventurers) penetrated ever further into the rain forest in pursuit of gold and Indian slaves, exploring as far as present-day Rondônia, and the Guaporé and Madeira river valleys. Amazonian Indians had long used the sap from rubber trees to make waterproof bags and other items. European explorers recognized the potential value of natural latex, but were unable to market it because it tended to grow soft in the heat, or brittle in the cold, and thus had limited appeal outside the rain forest. However, in 1842 American Charles Goodyear developed vulcanization (made natural rubber durable) and in 1890 Irelands John Dunlop patented pneumatic rubber tires. Soon there was an unquenchable demand for rubber in the recently industrialized USA and Europe, and the price of rubber on international markets soared. As profits skyrocketed, so did exploitation of the seringueiros, or rubber tappers, who were lured into the Amazon, mostly from the drought-stricken northeast, by the promise of prosperity only to be locked into a cruel system of virtual slavery dominated by seringalistas (owners of rubber-bearing forests). Rigged scales, hired guns, widespread illiteracy among the rubber tappers, and monopoly of sales and purchases all combined to perpetuate the workers debt and misery. In addition, seringueiros had to contend with jungle fevers, Indian attacks and all manner of deprivation.
In which year did the fort was built by Portuguese near the river Belem?

Read the passage carefully and select the best answer to each question out of the given four alternatives.
The Amazon basin has been continuously inhabited for at least 10, 000 years, possibly more. Its earliest inhabitants were stone-age peoples, living in hundreds of far-flung tribes, some tiny, others numbering in the tens of thousands. It was from the west that Europeans explorers first arrived. In 1541 a Spanish expedition from Quito, led by Gonzalo Pizarro, ran short of supplies while exploring east of the Andes in what is today Peru. Pizarros cousin Francisco de Orellana offered to take 60 men along with the boats from the expedition and forage for supplies. De Orellana floated down the Rio Napo to its confluence with the Amazon, near Iquitos (Peru), and then to the mouth of the Amazon. Along the way his expedition suffered numerous attacks by Indians; some of the Indian warriors, they reported, were female, like the Amazons of Greek mythology, and thus the worlds greatest river got its name. No one made a serious effort to claim this sweaty territory, however, until the Portuguese built a fort near the mouth of the river at Belém in 1616, and sent Pedro Teixeira up the river to Quito and back between 1637 and 1639. During the 17th and 18th centuries, Portuguese bandeirantes (groups of roaming adventurers) penetrated ever further into the rain forest in pursuit of gold and Indian slaves, exploring as far as present-day Rondônia, and the Guaporé and Madeira river valleys. Amazonian Indians had long used the sap from rubber trees to make waterproof bags and other items. European explorers recognized the potential value of natural latex, but were unable to market it because it tended to grow soft in the heat, or brittle in the cold, and thus had limited appeal outside the rain forest. However, in 1842 American Charles Goodyear developed vulcanization (made natural rubber durable) and in 1890 Irelands John Dunlop patented pneumatic rubber tires. Soon there was an unquenchable demand for rubber in the recently industrialized USA and Europe, and the price of rubber on international markets soared. As profits skyrocketed, so did exploitation of the seringueiros, or rubber tappers, who were lured into the Amazon, mostly from the drought-stricken northeast, by the promise of prosperity only to be locked into a cruel system of virtual slavery dominated by seringalistas (owners of rubber-bearing forests). Rigged scales, hired guns, widespread illiteracy among the rubber tappers, and monopoly of sales and purchases all combined to perpetuate the workers debt and misery. In addition, seringueiros had to contend with jungle fevers, Indian attacks and all manner of deprivation.
Seringalistas refers to

Read the passage carefully and select the best answer to each question out of the given four alternatives.
The Amazon basin has been continuously inhabited for at least 10, 000 years, possibly more. Its earliest inhabitants were stone-age peoples, living in hundreds of far-flung tribes, some tiny, others numbering in the tens of thousands. It was from the west that Europeans explorers first arrived. In 1541 a Spanish expedition from Quito, led by Gonzalo Pizarro, ran short of supplies while exploring east of the Andes in what is today Peru. Pizarros cousin Francisco de Orellana offered to take 60 men along with the boats from the expedition and forage for supplies. De Orellana floated down the Rio Napo to its confluence with the Amazon, near Iquitos (Peru), and then to the mouth of the Amazon. Along the way his expedition suffered numerous attacks by Indians; some of the Indian warriors, they reported, were female, like the Amazons of Greek mythology, and thus the worlds greatest river got its name. No one made a serious effort to claim this sweaty territory, however, until the Portuguese built a fort near the mouth of the river at Belém in 1616, and sent Pedro Teixeira up the river to Quito and back between 1637 and 1639. During the 17th and 18th centuries, Portuguese bandeirantes (groups of roaming adventurers) penetrated ever further into the rain forest in pursuit of gold and Indian slaves, exploring as far as present-day Rondônia, and the Guaporé and Madeira river valleys. Amazonian Indians had long used the sap from rubber trees to make waterproof bags and other items. European explorers recognized the potential value of natural latex, but were unable to market it because it tended to grow soft in the heat, or brittle in the cold, and thus had limited appeal outside the rain forest. However, in 1842 American Charles Goodyear developed vulcanization (made natural rubber durable) and in 1890 Irelands John Dunlop patented pneumatic rubber tires. Soon there was an unquenchable demand for rubber in the recently industrialized USA and Europe, and the price of rubber on international markets soared. As profits skyrocketed, so did exploitation of the seringueiros, or rubber tappers, who were lured into the Amazon, mostly from the drought-stricken northeast, by the promise of prosperity only to be locked into a cruel system of virtual slavery dominated by seringalistas (owners of rubber-bearing forests). Rigged scales, hired guns, widespread illiteracy among the rubber tappers, and monopoly of sales and purchases all combined to perpetuate the workers debt and misery. In addition, seringueiros had to contend with jungle fevers, Indian attacks and all manner of deprivation.
Who among the following patented the pneumatic rubber tires?

When they had a meeting seven company executives __ T, U, V, W, X, Y and Z ___ sit at a rectangular table .Three executives sit along one side of the table , and three sit along the other side, each directly opposite one of the other three. The seventh sits at the head of the table . There is no seat at the foot of the table . Ualways sits in one of te two seats farthest from the head of the table. Y and V always sit next to each other .V never sits next to Z . If Z does not sit at the head of the table, W sits there. If W sits directly opposite T, X must sit next to which of the following excutives?

Two rectangular sheets of paper, each 30 cm × 18 cm are made into two right circular cylinders, one by rolling the paper along its length and the other along the breadth. The ratio of the volumes of the two cylinders, thus formed, is :

Read the passage carefully and select the best answer to each question out of the given four alternatives. By practicing mindfulness and other principles, we become more aware of and present to our fears and others fears, bearing witness as a way of healing andempowering. We see the spiritual path as intertwined with the path of social action, with contemplation and action parts of the same whole, each nourishing andguiding the other. Acknowledging that our well-being depends on others makes caring for others well-being a moral responsibility.
Through a “mindful citizen” exercise, we create a story articulating who we are as individuals who are also part of communities. This exercise helps us move beyond cynicism, complacency, and despair, instead infusing us with a sense of purpose. We embrace our gifts, resolving to do our part to promote a sense of common humanity as a means toward social justice.
With this exercise, I believe we can help students bridge their divides and replace anger and distrust with compassionate connections – just as I witnessed betweenShirley and Tiffany.
Shirley returned to class after a brief hiatus, keeping a cool distance from Tiffany. But over the weeks spent together they gradually came to know each other. They practiced seeing and listening, sharing stories so different that they felt bewildered as to how they could overcome the gap. But they found that acknowledging their differences led them to discover a place of deep connection in commonalities, such as being raised by grandmothers, and even wounds, including childhood trauma,that they never imagined existed.
In assessments of these classes, students say that these small groups become “healing communities,” where we overcome victimization and claim agency. Healingoccurs as we transcend an “us vs. them” mentality, crossing borders and forging connections. These communities show a way of reducing intergroup prejudice andfostering inclusion based in psychology research and pedagogical practice. How students can replace their anger and distrust?

Read the passage carefully and select the best answer to each question out of the given four alternatives. By practicing mindfulness and other principles, we become more aware of and present to our fears and others fears, bearing witness as a way of healing andempowering. We see the spiritual path as intertwined with the path of social action, with contemplation and action parts of the same whole, each nourishing andguiding the other. Acknowledging that our well-being depends on others makes caring for others well-being a moral responsibility.
Through a “mindful citizen” exercise, we create a story articulating who we are as individuals who are also part of communities. This exercise helps us move beyond cynicism, complacency, and despair, instead infusing us with a sense of purpose. We embrace our gifts, resolving to do our part to promote a sense of common humanity as a means toward social justice.
With this exercise, I believe we can help students bridge their divides and replace anger and distrust with compassionate connections – just as I witnessed betweenShirley and Tiffany.
Shirley returned to class after a brief hiatus, keeping a cool distance from Tiffany. But over the weeks spent together they gradually came to know each other. They practiced seeing and listening, sharing stories so different that they felt bewildered as to how they could overcome the gap. But they found that acknowledging their differences led them to discover a place of deep connection in commonalities, such as being raised by grandmothers, and even wounds, including childhood trauma,that they never imagined existed.
In assessments of these classes, students say that these small groups become “healing communities,” where we overcome victimization and claim agency. Healingoccurs as we transcend an “us vs. them” mentality, crossing borders and forging connections. These communities show a way of reducing intergroup prejudice andfostering inclusion based in psychology research and pedagogical practice. What was the reason behind the strong connection between Shirley and Tiffany?