Quant Exam > Quant Questions > A is proportional to B. B is inversely propor...
Start Learning for Free
A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then E
- a)Increases
- b)Decreases
- c)Cannot say
- d)Could increase or decrease
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A is proportional to B. B is inversely proportional to C. C is proport...
Most Upvoted Answer
A is proportional to B. B is inversely proportional to C. C is proport...
Solution:
Given, A is proportional to B, B is inversely proportional to C, C is proportional to the square of D and D is directly proportional to the cube root of E.
Let's assume the proportionality constant for each relation as k.
Therefore,
A ∝ B => A = kB
B ∝ 1/C => B = k/C
C ∝ D² => C = kD²
D ∝ E^(1/3) => D = kE^(1/3)
Substituting the values of B, C and D in terms of A and E, we get:
A = k(kE^(1/3))/C²
Simplifying the equation, we get:
A ∝ E^(1/3)/C²
We can see that A is directly proportional to E^(1/3) and inversely proportional to C².
Now, if A increases, the value of E^(1/3)/C² should decrease. This means that E^(1/3) should decrease or C² should increase.
Since C is proportional to D², if C increases, D also increases.
But D is directly proportional to the cube root of E. So, if D increases, E should also increase.
Hence, if A increases, E should also increase.
Therefore, the correct answer is option (b) Decreases is incorrect and the answer is (a) Increases.
Given, A is proportional to B, B is inversely proportional to C, C is proportional to the square of D and D is directly proportional to the cube root of E.
Let's assume the proportionality constant for each relation as k.
Therefore,
A ∝ B => A = kB
B ∝ 1/C => B = k/C
C ∝ D² => C = kD²
D ∝ E^(1/3) => D = kE^(1/3)
Substituting the values of B, C and D in terms of A and E, we get:
A = k(kE^(1/3))/C²
Simplifying the equation, we get:
A ∝ E^(1/3)/C²
We can see that A is directly proportional to E^(1/3) and inversely proportional to C².
Now, if A increases, the value of E^(1/3)/C² should decrease. This means that E^(1/3) should decrease or C² should increase.
Since C is proportional to D², if C increases, D also increases.
But D is directly proportional to the cube root of E. So, if D increases, E should also increase.
Hence, if A increases, E should also increase.
Therefore, the correct answer is option (b) Decreases is incorrect and the answer is (a) Increases.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer?
Question Description
A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer?.
A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A is proportional to B. B is inversely proportional to C. C is proportional to the square of D. D is directly proportional to the cube root of E. Assuming positive integers, if A increases then Ea)Increasesb)Decreasesc)Cannot sayd)Could increase or decreaseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup