There are three cylinders - C1, C2 and C3. The ratio of height and radius of these cylinders are 3 : 6 : 5 and 2 : 3 : 4 respectively, in that order of C1, C2 and C3. The valueof Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and is inversely proportional to its volume. A company requires a cylinder with the lowest Einstein Factor. Which of the following cylinder(s) should the company select?a)Only C1b)Only C3c)Both C1and C3d)Both C1and C2Correct 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 > There are three cylinders - C1, C2 and C3. Th...

Join the Discussion on the App

There are three cylinders - C₁, C₂ and C₃. The ratio of height and radius of these cylinders are 3 : 6 : 5 and 2 : 3 : 4 respectively, in that order of C₁, C₂and C₃. The value of Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and is inversely proportional to its volume. A company requires a cylinder with the lowest Einstein Factor. Which of the following cylinder(s) should the company select?

a)
Only C₁
b)
Only C₃
c)
Both C₁ and C₃
d)
Both C₁ and C₂

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

FREE This question is part of

CAT Practice Test - 22

Attempt Test

Attempt this Test

Verified Answer

There are three cylinders - C1, C2 and C3. The ratio of height and rad...

Factor X is lowest for the cylinder with the highest radius, i.e. cylinder C₃.
Hence, option 2.

View all questions of this test

Most Upvoted Answer

There are three cylinders - C1, C2 and C3. The ratio of height and rad...

Given information:
- The ratio of height and radius of the cylinders C1, C2, and C3 is 3:6:5 and 2:3:4, respectively.
- The value of the Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and inversely proportional to its volume.

To find:
The cylinder with the lowest Einstein factor.

Solution:
Let's calculate the lateral surface area and volume of each cylinder to determine the Einstein factor.

Cylinder C1:
Let the common ratio between height and radius be x.
Then, the height of C1 = 3x and the radius of C1 = 6x.

The lateral surface area of C1 = 2πrh = 2π(6x)(3x) = 36πx^2.
The volume of C1 = πr^2h = π(6x)^2(3x) = 108πx^3.

Cylinder C2:
Let the common ratio between height and radius be y.
Then, the height of C2 = 6y and the radius of C2 = 3y.

The lateral surface area of C2 = 2πrh = 2π(3y)(6y) = 36πy^2.
The volume of C2 = πr^2h = π(3y)^2(6y) = 54πy^3.

Cylinder C3:
Let the common ratio between height and radius be z.
Then, the height of C3 = 5z and the radius of C3 = 4z.

The lateral surface area of C3 = 2πrh = 2π(4z)(5z) = 40πz^2.
The volume of C3 = πr^2h = π(4z)^2(5z) = 80πz^3.

Calculating the Einstein factor:
The Einstein factor, X, is directly proportional to the lateral surface area and inversely proportional to the volume.

For cylinder C1, X1 = (36πx^2) / (108πx^3) = 1 / (3x).
For cylinder C2, X2 = (36πy^2) / (54πy^3) = 2 / (3y).
For cylinder C3, X3 = (40πz^2) / (80πz^3) = 1 / (2z).

Comparison:
To find the cylinder with the lowest Einstein factor, we need to compare the values of X for each cylinder.

- X1 = 1 / (3x)
- X2 = 2 / (3y)
- X3 = 1 / (2z)

From the given ratios, we can see that x < y="" />< />

Therefore, X1 > X2 > X3.

Hence, the company should select only Cylinder C3 as it has the lowest Einstein factor.

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

A solid cylinder is melted & then 1000 identical small solid cylinders are made out of it. If the proportion in which the radius changes is same as in which the height changes, then what is the ratio of the surface areas of the bigger cylinder & to the surface area of one of the smaller cylinders?

View answer

Read the passage carefully and answer within the context.In an unfinished but highly suggestive series of essays, the late Sarah Eisenstein has focused attention on the evolution of working women’s values from the turn of the century to the First World War. Eisenstein argues that turn-of-the-century women neither wholly accepted nor rejected what she calls the dominant “ideology of domesticity,” but rather took this and other available ideologies—feminism, socialism, trade unionism—and modified or adapted them in light of their own experiences and needs. In thus maintaining that wage-work helped to produce a new “consciousness” among women, Eisenstein to some extent challenges the recent, controversial proposal by Leslie Tentler that for women the work expe rience only served to reinforce the attractiveness of the dominant ideology. According to the Tentler, the degrading conditions under which many female wage earners worked made them view the family as a source of power and esteem available nowhere else in their social world. In contrast, Eisenstein’s study insists that wage-work had other implications for women’s identities and consciousness. Most importantly, her work aims to demonstrate that wagework enabled women to become aware of themselves as a distinct social group capable of defining their collective circumstance. Eisenstein insists that as a group working-class woman were not able to come to collective consciousness of their situation until they began entering the labor force, because domestic work tended to isolate them from one another.Unfortunately, Eisenstein’s unfinished study does not develop these ideas in sufficient depth or detail, offering tantalizing hints rather than an exhaustive analysis. Whatever Eisenstein’s overall plan may have been, in its current form her study suffers from the limited nature of the sources she depended on. She uses the speeches and writings of reformers and labor organizers, who she acknowledges were far from representative, as the voice of the typical woman worker. And there is less than adequate attention given to the differing values of immigrant groups that made up a significant proportion of the population under investigation. While raising important questions, Eisenstein’s essays do not provide definitive answer, and it remains for others to take up the challenges they offer.Q.It can be inferred from the passage that, in Eisenstein’s view, working women at the turn of the century had which of the following attitudes toward the dominant ideology of their time?

View answer

The price of a diamond varies according to the square of its weight, The price of gole directly proportional to its weight. Three rings of equal weight, each Composed of a diamond and gold are priced at a,b and c. The diamonds in them Neigh 3, 4 and 5 gms respectival What is the value of diamond of 1 gm?

View answer

Read the passage carefully and answer within the context.In an unfinished but highly suggestive series of essays, the late Sarah Eisenstein has focused attention on the evolution of working women’s values from the turn of the century to the First World War. Eisenstein argues that turn-of-the-century women neither wholly accepted nor rejected what she calls the dominant “ideology of domesticity,” but rather took this and other available ideologies—feminism, socialism, trade unionism—and modified or adapted them in light of their own experiences and needs. In thus maintaining that wage-work helped to produce a new “consciousness” among women, Eisenstein to some extent challenges the recent, controversial proposal by Leslie Tentler that for women the work expe rience only served to reinforce the attractiveness of the dominant ideology. According to the Tentler, the degrading conditions under which many female wage earners worked made them view the family as a source of power and esteem available nowhere else in their social world. In contrast, Eisenstein’s study insists that wage-work had other implications for women’s identities and consciousness. Most importantly, her work aims to demonstrate that wagework enabled women to become aware of themselves as a distinct social group capable of defining their collective circumstance. Eisenstein insists that as a group working-class woman were not able to come to collective consciousness of their situation until they began entering the labor force, because domestic work tended to isolate them from one another.Unfortunately, Eisenstein’s unfinished study does not develop these ideas in sufficient depth or detail, offering tantalizing hints rather than an exhaustive analysis. Whatever Eisenstein’s overall plan may have been, in its current form her study suffers from the limited nature of the sources she depended on. She uses the speeches and writings of reformers and labor organizers, who she acknowledges were far from representative, as the voice of the typical woman worker. And there is less than adequate attention given to the differing values of immigrant groups that made up a significant proportion of the population under investigation. While raising important questions, Eisenstein’s essays do not provide definitive answer, and it remains for others to take up the challenges they offer.Q.Which of the following would the author of the passage be most likely to approve as a continuation of Eisenstein’s study?

View answer

The volume of a gas is directly proportional to temperature and inversely proportional to pressure. If the gas occupies 400 cubic feet volume at some pressure, then by what percentage does the pressure need to be increased so as to compress the gas into a 4 cubic feet tank at constant temperature?

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

There are three cylinders - C1, C2 and C3. The ratio of height and radius of these cylinders are 3 : 6 : 5 and 2 : 3 : 4 respectively, in that order of C1, C2 and C3. The valueof Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and is inversely proportional to its volume. A company requires a cylinder with the lowest Einstein Factor. Which of the following cylinder(s) should the company select?a)Only C1b)Only C3c)Both C1and C3d)Both C1and C2Correct answer is option 'B'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
There are three cylinders - C1, C2 and C3. The ratio of height and radius of these cylinders are 3 : 6 : 5 and 2 : 3 : 4 respectively, in that order of C1, C2 and C3. The valueof Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and is inversely proportional to its volume. A company requires a cylinder with the lowest Einstein Factor. Which of the following cylinder(s) should the company select?a)Only C1b)Only C3c)Both C1and C3d)Both C1and C2Correct 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 There are three cylinders - C1, C2 and C3. The ratio of height and radius of these cylinders are 3 : 6 : 5 and 2 : 3 : 4 respectively, in that order of C1, C2 and C3. The valueof Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and is inversely proportional to its volume. A company requires a cylinder with the lowest Einstein Factor. Which of the following cylinder(s) should the company select?a)Only C1b)Only C3c)Both C1and C3d)Both C1and C2Correct 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 There are three cylinders - C1, C2 and C3. The ratio of height and radius of these cylinders are 3 : 6 : 5 and 2 : 3 : 4 respectively, in that order of C1, C2 and C3. The valueof Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and is inversely proportional to its volume. A company requires a cylinder with the lowest Einstein Factor. Which of the following cylinder(s) should the company select?a)Only C1b)Only C3c)Both C1and C3d)Both C1and C2Correct answer is option 'B'. Can you explain this answer?.

Solutions for There are three cylinders - C1, C2 and C3. The ratio of height and radius of these cylinders are 3 : 6 : 5 and 2 : 3 : 4 respectively, in that order of C1, C2 and C3. The valueof Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and is inversely proportional to its volume. A company requires a cylinder with the lowest Einstein Factor. Which of the following cylinder(s) should the company select?a)Only C1b)Only C3c)Both C1and C3d)Both C1and C2Correct 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 There are three cylinders - C1, C2 and C3. The ratio of height and radius of these cylinders are 3 : 6 : 5 and 2 : 3 : 4 respectively, in that order of C1, C2 and C3. The valueof Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and is inversely proportional to its volume. A company requires a cylinder with the lowest Einstein Factor. Which of the following cylinder(s) should the company select?a)Only C1b)Only C3c)Both C1and C3d)Both C1and C2Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of There are three cylinders - C1, C2 and C3. The ratio of height and radius of these cylinders are 3 : 6 : 5 and 2 : 3 : 4 respectively, in that order of C1, C2 and C3. The valueof Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and is inversely proportional to its volume. A company requires a cylinder with the lowest Einstein Factor. Which of the following cylinder(s) should the company select?a)Only C1b)Only C3c)Both C1and C3d)Both C1and C2Correct answer is option 'B'. Can you explain this answer?, a detailed solution for There are three cylinders - C1, C2 and C3. The ratio of height and radius of these cylinders are 3 : 6 : 5 and 2 : 3 : 4 respectively, in that order of C1, C2 and C3. The valueof Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and is inversely proportional to its volume. A company requires a cylinder with the lowest Einstein Factor. Which of the following cylinder(s) should the company select?a)Only C1b)Only C3c)Both C1and C3d)Both C1and C2Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of There are three cylinders - C1, C2 and C3. The ratio of height and radius of these cylinders are 3 : 6 : 5 and 2 : 3 : 4 respectively, in that order of C1, C2 and C3. The valueof Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and is inversely proportional to its volume. A company requires a cylinder with the lowest Einstein Factor. Which of the following cylinder(s) should the company select?a)Only C1b)Only C3c)Both C1and C3d)Both C1and C2Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice There are three cylinders - C1, C2 and C3. The ratio of height and radius of these cylinders are 3 : 6 : 5 and 2 : 3 : 4 respectively, in that order of C1, C2 and C3. The valueof Einstein factor, X, is directly proportional to the lateral surface area of a cylinder and is inversely proportional to its volume. A company requires a cylinder with the lowest Einstein Factor. Which of the following cylinder(s) should the company select?a)Only C1b)Only C3c)Both C1and C3d)Both C1and C2Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.

Explore Courses for CAT exam