CLAT Exam  >  CLAT Questions  >   x varies directly as y and x varies inversel... Start Learning for Free
x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
x varies directly as y and x varies inversely as the square of z, whe...
View all questions of this test
Most Upvoted Answer
x varies directly as y and x varies inversely as the square of z, whe...
To solve this problem, we can use the concept of direct and inverse variation.

Given:
x varies directly as y, which means x = ky for some constant k.
x varies inversely as the square of z, which means x = k/z^2 for some constant k.

First, let's find the value of k using the given information when y = 75 and x = 6.
x = ky
6 = k * 75
k = 6/75
k = 2/25

Next, let's find the value of k using the given information when z = 5.
x = k/z^2
x = (2/25) / 5^2
x = (2/25) / 25
x = 2/625

Now, let's find the value of x when y = 24 and z = 4.
x = ky
x = (2/25) * 24
x = 48/25
x = 1.92

Since the options provided are whole numbers, we need to round the answer to the nearest whole number. The closest whole number to 1.92 is 2.

Therefore, the value of x when y = 24 and z = 4 is 2.

The correct answer is option 'C'.
Attention CLAT Students!
To make sure you are not studying endlessly, EduRev has designed CLAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CLAT.
Explore Courses for CLAT exam

Top Courses for CLAT

x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?
Question Description
x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?.
Solutions for x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
Here you can find the meaning of x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?, a detailed solution for x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice x varies directly as y and x varies inversely as the square of z, when y = 75 and x = 6, then z = 5. Find the value of x, when y = 24 and z = 4.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CLAT tests.
Explore Courses for CLAT exam

Top Courses for CLAT

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