CAT Exam > CAT Questions > If 3 is added to the numerator of a certain f...
Start Learning for Free
If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?
- a)2/5
- b)3/2
- c)6/15
- d)5/6
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If 3 is added to the numerator of a certain fraction, the value of the...
Let the original fraction be x/y
Instead of solving the equation, consider the fraction from the options and see which equation satisfies this condition.
Thus, the condition is satisfied only for option 3.
Hence, option 3.
Hence, option 3.
Most Upvoted Answer
If 3 is added to the numerator of a certain fraction, the value of the...
Assume fraction is a/b,
given,
(a+3)/b=3/5 & a/(b-9) =2.5*a/b,
by solving this two equ.
we found a=6,b=15
so a/b=6/15
given,
(a+3)/b=3/5 & a/(b-9) =2.5*a/b,
by solving this two equ.
we found a=6,b=15
so a/b=6/15
Free Test
FREE
| Start Free Test |
Community Answer
If 3 is added to the numerator of a certain fraction, the value of the...
Given Information:
The fraction can be represented as x/y.
First Condition:
Adding 3 to the numerator: (x+3)/y = 3/5
Cross multiplying, we get:
5(x+3) = 3y
5x + 15 = 3y
y = (5x + 15)/3
Second Condition:
Subtracting 9 from the denominator: x/(y-9) = 2.5(x/y)
Substitute the value of y from the first condition:
x/((5x + 15)/3 - 9) = 2.5(x/(5x + 15)/3)
Simplify the equation:
3x/(5x + 15 - 27) = 2.5(3x/(5x + 15))
3x/(5x - 12) = 7.5x/(5x + 15)
3x(5x + 15) = 7.5x(5x - 12)
15x^2 + 45x = 37.5x^2 - 90x
22.5x^2 - 135x = 0
x(22.5x - 135) = 0
x = 0 or x = 6
Since the fraction cannot be 0, x = 6.
Substitute x = 6 back into the first condition:
y = (5*6 + 15)/3
y = 45/3
y = 15
Therefore, the original fraction is 6/15 which simplifies to 2/5. Hence, the correct answer is option C.
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.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. 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 If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. 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 If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. 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 If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If 3 is added to the numerator of a certain fraction, the value of the fraction becomes 3/5. If 9 is subtracted from the denominator of the original fraction, the value of this fraction becomes 2.5 times the value of the original fraction. What is the value of the original fraction?a)2/5b)3/2c)6/15d)5/6e)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup