CAT Exam  >  CAT Questions  >   What will be the percentage change in the vo... Start Learning for Free
What will be the percentage change in the volume of a cuboid if its length increases by 57.13%, breadth decreases by 41.66%, and height decrease by 46.66%?
  • a)
    57.13%
  • b)
    −41.66%
  • c)
    104.54%
  • d)
    −51.11%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What will be the percentage change in the volume of a cuboid if its l...
Given,
Increase in length
57.13% = 4/7
Decrease in breadth
41.66% = 5/12
Decrease in height
46.66% = 7/15
Let initial length, breadth and height as 7x, 12y, 15z respectively.
Increase in length
= 7x × 4/7 = 4x
Decrease in breadth
= 12y × 5/12 = 5y
Decrease in height
= 15z × 7/15 = 7z
Final length = 7x + 4x = 11x
Final breadth = 12y − 5y = 7y
Final breadth = 15z − 7z = 8z
Initial volume = 7x × 12y × 15z = 1260xyz
Final volume = 11x × 7y × 8z = 616xyz
Percentage change =
∴ Percentage change in the volume of a cuboid is −51.11%.
Hence, the correct option is (D).
View all questions of this test
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

What will be the percentage change in the volume of a cuboid if its length increases by 57.13%, breadth decreases by 41.66%, and height decrease by 46.66%?a)57.13%b)−41.66%c)104.54%d)−51.11%Correct answer is option 'D'. Can you explain this answer?
Question Description
What will be the percentage change in the volume of a cuboid if its length increases by 57.13%, breadth decreases by 41.66%, and height decrease by 46.66%?a)57.13%b)−41.66%c)104.54%d)−51.11%Correct answer is option 'D'. 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 What will be the percentage change in the volume of a cuboid if its length increases by 57.13%, breadth decreases by 41.66%, and height decrease by 46.66%?a)57.13%b)−41.66%c)104.54%d)−51.11%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will be the percentage change in the volume of a cuboid if its length increases by 57.13%, breadth decreases by 41.66%, and height decrease by 46.66%?a)57.13%b)−41.66%c)104.54%d)−51.11%Correct answer is option 'D'. Can you explain this answer?.
Solutions for What will be the percentage change in the volume of a cuboid if its length increases by 57.13%, breadth decreases by 41.66%, and height decrease by 46.66%?a)57.13%b)−41.66%c)104.54%d)−51.11%Correct answer is option 'D'. 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 What will be the percentage change in the volume of a cuboid if its length increases by 57.13%, breadth decreases by 41.66%, and height decrease by 46.66%?a)57.13%b)−41.66%c)104.54%d)−51.11%Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of What will be the percentage change in the volume of a cuboid if its length increases by 57.13%, breadth decreases by 41.66%, and height decrease by 46.66%?a)57.13%b)−41.66%c)104.54%d)−51.11%Correct answer is option 'D'. Can you explain this answer?, a detailed solution for What will be the percentage change in the volume of a cuboid if its length increases by 57.13%, breadth decreases by 41.66%, and height decrease by 46.66%?a)57.13%b)−41.66%c)104.54%d)−51.11%Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of What will be the percentage change in the volume of a cuboid if its length increases by 57.13%, breadth decreases by 41.66%, and height decrease by 46.66%?a)57.13%b)−41.66%c)104.54%d)−51.11%Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice What will be the percentage change in the volume of a cuboid if its length increases by 57.13%, breadth decreases by 41.66%, and height decrease by 46.66%?a)57.13%b)−41.66%c)104.54%d)−51.11%Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev