A cuboid-shaped hall has marble tiles only on its floor. All the other surfaces, including the roof, are painted. The roof is supported by six pillars, each of diameter 21 cm. The length, breadth and height of the hall are 8 m, 9 m and 5 m respectively. If a painter has quoted Rs. 45 per sq.m to paint the hall again, what is the cost of painting the hall (including the roof and pillars)?a)Rs. 11,860b)Rs. 11,771c)Rs. 11,781d)Rs. 11,718e)None of the aboveCorrect answer is option 'B'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

CAT Exam > CAT Questions > A cuboid-shaped hall has marble tiles only on...

Join the Discussion on the App

A cuboid-shaped hall has marble tiles only on its floor. All the other surfaces, including the roof, are painted. The roof is supported by six pillars, each of diameter 21 cm. The length, breadth and height of the hall are 8 m, 9 m and 5 m respectively. If a painter has quoted Rs. 45 per sq.m to paint the hall again, what is the cost of painting the hall (including the roof and pillars)?

a)
Rs. 11,860
b)
Rs. 11,771
c)
Rs. 11,781
d)
Rs. 11,718
e)
None of the above

Correct answer is option 'B'. Can you explain this answer?

FREE This question is part of

Practice Test for NMAT - 11

Attempt Test

Attempt this Test

Verified Answer

A cuboid-shaped hall has marble tiles only on its floor. All the other...

Since the floor of the hall is tiled, it is not to be painted.
∴ Total area to be painted = Area of 4 walls + Area of roof + Curved surface area of 6 pillars - Area of contact of the pillars with the roof = 2(lh + bh) + lb + 6(2πrh) - 6πr²

= 170 + 72 + 6(3.3) - 6(0.03465)
= 261.59 sq.m
∴ Cost of re-painting the hall = 261.59 * 45 = Rs. 11,771.
Hence, option 2.

View all questions of this test

Most Upvoted Answer

A cuboid-shaped hall has marble tiles only on its floor. All the other...

To calculate the cost of painting the hall (including the roof and pillars), we need to find the total surface area of the hall and then multiply it by the cost per square meter.

Finding the Surface Area of the Hall:
The hall is cuboid-shaped, so it has six faces - four walls, a floor, and a roof. We need to find the area of each face separately and then add them up.

1. Floor Area:
The floor area is the length multiplied by the breadth. In this case, it is 8 m * 9 m = 72 sq.m.

2. Wall Area:
The walls are rectangular in shape, so we need to find the area of each wall and then multiply it by 4 (as there are 4 walls). The area of each wall is length multiplied by height, and in this case, it is 8 m * 5 m = 40 sq.m. Therefore, the total wall area is 40 sq.m * 4 = 160 sq.m.

3. Roof Area:
The roof is also rectangular in shape, so its area is the length multiplied by the breadth. In this case, it is 8 m * 9 m = 72 sq.m.

4. Pillar Area:
There are six pillars, and each pillar is in the shape of a cylinder. The diameter of each pillar is given as 21 cm, so the radius is 21 cm / 2 = 10.5 cm = 0.105 m. The height of each pillar is the same as the height of the hall, which is 5 m. The area of each pillar is 2 * π * radius * height. Therefore, the total area of all six pillars is 6 * 2 * π * 0.105 m * 5 m = 6 * π * 0.105 m * 5 m = 31.5 sq.m.

Adding up all the Areas:
The total surface area of the hall is the sum of the floor area, wall area, roof area, and pillar area. It is 72 sq.m + 160 sq.m + 72 sq.m + 31.5 sq.m = 335.5 sq.m.

Calculating the Cost:
The cost of painting is given as Rs. 45 per sq.m. Therefore, the total cost of painting the hall (including the roof and pillars) is 335.5 sq.m * Rs. 45/sq.m = Rs. 15,097.5.

However, we need to round off the cost to the nearest rupee. In this case, it becomes Rs. 15,098.

Therefore, the correct answer is option B) Rs. 11,771.

Answered by Wizius Careers · View profile

Attention CAT Students!

To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.

Quantitative Aptitude (Quant)

Crash Course for CAT

CAT Mock Test Series 2024

Mock Test Series for SNAP

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for CAT exam

Similar CAT Doubts

Directions: Passage below is accompanied by a number of questions.For some questions, consider how the passage might be revised to improve the expression of ideas. For other questions, consider how the passage might be edited to correct errors in sentence structure, usage or punctuation.Alter reading the passage, choose the answer to each question that most effectively improves the quality of writing in the passage or that makes the passage confirm to the conventions of standard written English.The underlined areas in the passage along with the [number] direct you to the question concernedIf you've ever been to an art museum, you know the basic layout: long hallways and large rooms with paintings hung a few feet apart You know how the paintings are [1] by certain means are marked and you know that the paintings have been arranged chronologically or thematically.There’s one thing, however, which you’ve definitely noticed even if you can’t quite articulate it- Particularly when looking at old paintings. [2] paintings all have that vividly new look, Whether they were painted in 1950 or 1450. Even where the subject matter is older, the colors are vibrant, and you're never forced to wonder exactly what the painting must have looked like in its original state.[3] The history of painting is nearly as long as the history of mankind. The incredible feat is the work of a highly specialized group: art restorers. Despite this specialization, the profession has exploded in recent years. Art restoration has been growing steadily since 1930. While the job of an art restorer may seem fairly straight forward [4] When looking, the job is in fact quite complicated: Sometimes, as in the case of Michelangelo's famous sculpture David, the cleaning and restoration of art works is a simple matter: applying chemicals, washing away grime and scrubbing of the dirt.[5] With most paintings however, the process is a good deal more involved because it is not necessarily, just a matter of 'cleaning' the older paintings. One cannot merely take a scrub brush to centuries-old great work, Because of the wide range of restoration techniques, art restoration itself can be controversial business.Q. Identify the best possible change in the underlined area [2]?

View answer

Directions: Passage below is accompanied by a number of questions.For some questions, consider how the passage might be revised to improve the expression of ideas. For other questions, consider how the passage might be edited to correct errors in sentence structure, usage or punctuation.After reading the passage, choose the answer to each question that most effectively improves the quality of writing in the passage or that makes the passage confirm to the conventions of standard written English.The underlined areas in the passage along with the [number] direct you to the question concernedIf you've ever been to an art museum, you know the basic layout: long hallways and large rooms with paintings hung a few feet apart You know how the paintings are [1] by certain means are marked and you know that the paintings have been arranged chronologically or thematically.There’s one thing, however, which you’ve definitely noticed even if you can’t quite articulate it- Particularly when looking at old paintings. [2] paintings all have that vividly new look, Whether they were painted in 1950 or 1450. Even where the subject matter is older, the colors are vibrant, and you're never forced to wonder exactly what the painting must have looked like in its original state.[3] The history of painting is nearly as long as the history of mankind. The incredible feat is the work of a highly specialized group: art restorers. Despite this specialization, the profession has exploded in recent years. Art restoration has been growing steadily since 1930. While the job of an art restorer may seem fairly straight forward [4] When looking, the job is in fact quite complicated: Sometimes, as in the case of Michelangelo's famous sculpture David, the cleaning and restoration of art works is a simple matter: applying chemicals, washing away grime and scrubbing of the dirt.[5] With most paintings however, the process is a good deal more involved because it is not necessarily, just a matter of 'cleaning' the older paintings. One cannot merely take a scrub brush to centuries - old great work, Because of the wide range of restoration techniques, art restoration itself can be controversial business.Q. Identify the best possible change in the underlined area [5]?

View answer

Directions: Passage below is accompanied by a number of questions.For some questions, consider how the passage might be revised to improve the expression of ideas. For other questions, consider how the passage might be edited to correct errors in sentence structure, usage or punctuation.Alter reading the passage, choose the answer to each question that most effectively improves the quality of writing in the passage or that makes the passage confirm to the conventions of standard written English.The underlined areas in the passage along with the [number] direct you to the question concernedIf you've ever been to an art museum, you know the basic layout: long hallways and large rooms with paintings hung a few feet apart You know how the paintings are [1] by certain means are marked and you know that the paintings have been arranged chronologically or thematically.There’s one thing, however, which you’ve definitely noticed even if you can’t quite articulate it- Particularly when looking at old paintings. [2] paintings all have that vividly new look, Whether they were painted in 1950 or 1450. Even where the subject matter is older, the colors are vibrant, and you're never forced to wonder exactly what the painting must have looked like in its original state.[3] The history of painting is nearly as long as the history of mankind. The incredible feat is the work of a highly specialized group: art restorers. Despite this specialization, the profession has exploded in recent years. Art restoration has been growing steadily since 1930. While the job of an art restorer may seem fairly straight forward [4] When looking, the job is in fact quite complicated: Sometimes, as in the case of Michelangelo's famous sculpture David, the cleaning and restoration of art works is a simple matter: applying chemicals, washing away grime and scrubbing of the dirt.[5] With most paintings however, the process is a good deal more involved because it is not necessarily, just a matter of 'cleaning' the older paintings. One cannot merely take a scrub brush to centuries-old great work, Because of the wide range of restoration techniques, art restoration itself can be controversial business.Q. Identify the best possible change in the underlined area [4] ?

View answer

Directions: Passage below is accompanied by a number of questions.For some questions, consider how the passage might be revised to improve the expression of ideas. For other questions, consider how the passage might be edited to correct errors in sentence structure, usage or punctuation.Alter reading the passage, choose the answer to each question that most effectively improves the quality of writing in the passage or that makes the passage confirm to the conventions of standard written English.The underlined areas in the passage along with the [number] direct you to the question concernedIf you've ever been to an art museum, you know the basic layout: long hallways and large rooms with paintings hung a few feet apart You know how the paintings are [1] by certain means are marked and you know that the paintings have been arranged chronologically or thematically.There’s one thing, however, which you’ve definitely noticed even if you can’t quite articulate it- Particularly when looking at old paintings. [2] paintings all have that vividly new look, Whether they were painted in 1950 or 1450. Even where the subject matter is older, the colors are vibrant, and you're never forced to wonder exactly what the painting must have looked like in its original state.[3] The history of painting is nearly as long as the history of mankind. The incredible feat is the work of a highly specialized group: art restorers. Despite this specialization, the profession has exploded in recent years. Art restoration has been growing steadily since 1930. While the job of an art restorer may seem fairly straight forward [4] When looking, the job is in fact quite complicated: Sometimes, as in the case of Michelangelo's famous sculpture David, the cleaning and restoration of art works is a simple matter: applying chemicals, washing away grime and scrubbing of the dirt.[5] With most paintings however, the process is a good deal more involved because it is not necessarily, just a matter of 'cleaning' the older paintings. One cannot merely take a scrub brush to centuries-old great work, Because of the wide range of restoration techniques, art restoration itself can be controversial business.Q. Identify the best possible change in the underlined area [1]?

View answer

Directions: Passage below is accompanied by a number of questions.For some questions, consider how the passage might be revised to improve the expression of ideas. For other questions, consider how the passage might be edited to correct errors in sentence structure, usage or punctuation.Alter reading the passage, choose the answer to each question that most effectively improves the quality of writing in the passage or that makes the passage confirm to the conventions of standard written English.The underlined areas in the passage along with the [number] direct you to the question concernedIf you've ever been to an art museum, you know the basic layout: long hallways and large rooms with paintings hung a few feet apart You know how the paintings are [1] by certain means are marked and you know that the paintings have been arranged chronologically or thematically.There’s one thing, however, which you’ve definitely noticed even if you can’t quite articulate it- Particularly when looking at old paintings. [2] paintings all have that vividly new look, Whether they were painted in 1950 or 1450. Even where the subject matter is older, the colors are vibrant, and you're never forced to wonder exactly what the painting must have looked like in its original state.[3] The history of painting is nearly as long as the history of mankind. The incredible feat is the work of a highly specialized group: art restorers. Despite this specialization, the profession has exploded in recent years. Art restoration has been growing steadily since 1930. While the job of an art restorer may seem fairly straight forward [4] When looking, the job is in fact quite complicated: Sometimes, as in the case of Michelangelo's famous sculpture David, the cleaning and restoration of art works is a simple matter: applying chemicals, washing away grime and scrubbing of the dirt.[5] With most paintings however, the process is a good deal more involved because it is not necessarily, just a matter of 'cleaning' the older paintings. One cannot merely take a scrub brush to centuries-old great work, Because of the wide range of restoration techniques, art restoration itself can be controversial business.Q. The writer is considering deleting the underlined sentence. Should the sentence be kept or deleted [3]?

View answer

Top Courses for CATView all

Quantitative Aptitude (Quant)

Crash Course for CAT

CAT Mock Test Series 2024

Mock Test Series for SNAP

Mock Test Series for XAT

Top Courses for CAT

View all

Share with a Friend

Answer this doubt

Question Description
A cuboid-shaped hall has marble tiles only on its floor. All the other surfaces, including the roof, are painted. The roof is supported by six pillars, each of diameter 21 cm. The length, breadth and height of the hall are 8 m, 9 m and 5 m respectively. If a painter has quoted Rs. 45 per sq.m to paint the hall again, what is the cost of painting the hall (including the roof and pillars)?a)Rs. 11,860b)Rs. 11,771c)Rs. 11,781d)Rs. 11,718e)None of the aboveCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A cuboid-shaped hall has marble tiles only on its floor. All the other surfaces, including the roof, are painted. The roof is supported by six pillars, each of diameter 21 cm. The length, breadth and height of the hall are 8 m, 9 m and 5 m respectively. If a painter has quoted Rs. 45 per sq.m to paint the hall again, what is the cost of painting the hall (including the roof and pillars)?a)Rs. 11,860b)Rs. 11,771c)Rs. 11,781d)Rs. 11,718e)None of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cuboid-shaped hall has marble tiles only on its floor. All the other surfaces, including the roof, are painted. The roof is supported by six pillars, each of diameter 21 cm. The length, breadth and height of the hall are 8 m, 9 m and 5 m respectively. If a painter has quoted Rs. 45 per sq.m to paint the hall again, what is the cost of painting the hall (including the roof and pillars)?a)Rs. 11,860b)Rs. 11,771c)Rs. 11,781d)Rs. 11,718e)None of the aboveCorrect answer is option 'B'. Can you explain this answer?.

Solutions for A cuboid-shaped hall has marble tiles only on its floor. All the other surfaces, including the roof, are painted. The roof is supported by six pillars, each of diameter 21 cm. The length, breadth and height of the hall are 8 m, 9 m and 5 m respectively. If a painter has quoted Rs. 45 per sq.m to paint the hall again, what is the cost of painting the hall (including the roof and pillars)?a)Rs. 11,860b)Rs. 11,771c)Rs. 11,781d)Rs. 11,718e)None of the aboveCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.

Here you can find the meaning of A cuboid-shaped hall has marble tiles only on its floor. All the other surfaces, including the roof, are painted. The roof is supported by six pillars, each of diameter 21 cm. The length, breadth and height of the hall are 8 m, 9 m and 5 m respectively. If a painter has quoted Rs. 45 per sq.m to paint the hall again, what is the cost of painting the hall (including the roof and pillars)?a)Rs. 11,860b)Rs. 11,771c)Rs. 11,781d)Rs. 11,718e)None of the aboveCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A cuboid-shaped hall has marble tiles only on its floor. All the other surfaces, including the roof, are painted. The roof is supported by six pillars, each of diameter 21 cm. The length, breadth and height of the hall are 8 m, 9 m and 5 m respectively. If a painter has quoted Rs. 45 per sq.m to paint the hall again, what is the cost of painting the hall (including the roof and pillars)?a)Rs. 11,860b)Rs. 11,771c)Rs. 11,781d)Rs. 11,718e)None of the aboveCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A cuboid-shaped hall has marble tiles only on its floor. All the other surfaces, including the roof, are painted. The roof is supported by six pillars, each of diameter 21 cm. The length, breadth and height of the hall are 8 m, 9 m and 5 m respectively. If a painter has quoted Rs. 45 per sq.m to paint the hall again, what is the cost of painting the hall (including the roof and pillars)?a)Rs. 11,860b)Rs. 11,771c)Rs. 11,781d)Rs. 11,718e)None of the aboveCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A cuboid-shaped hall has marble tiles only on its floor. All the other surfaces, including the roof, are painted. The roof is supported by six pillars, each of diameter 21 cm. The length, breadth and height of the hall are 8 m, 9 m and 5 m respectively. If a painter has quoted Rs. 45 per sq.m to paint the hall again, what is the cost of painting the hall (including the roof and pillars)?a)Rs. 11,860b)Rs. 11,771c)Rs. 11,781d)Rs. 11,718e)None of the aboveCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A cuboid-shaped hall has marble tiles only on its floor. All the other surfaces, including the roof, are painted. The roof is supported by six pillars, each of diameter 21 cm. The length, breadth and height of the hall are 8 m, 9 m and 5 m respectively. If a painter has quoted Rs. 45 per sq.m to paint the hall again, what is the cost of painting the hall (including the roof and pillars)?a)Rs. 11,860b)Rs. 11,771c)Rs. 11,781d)Rs. 11,718e)None of the aboveCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.

Explore Courses for CAT exam