CAT Exam > CAT Questions > In a given fraction, if you add 4 to the nume...
Start Learning for Free
In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?
- a)8/7
- b)3/2
- c)4/3
- d)6/5
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In a given fraction, if you add 4 to the numerator and 5 to the denomi...
Here, instead of solving the fraction algebraically, use the answer options.
Add 4 to the numerator and 5 to the denominator of each fraction and check if the fraction becomes 1.
This condition is satisfied for all the fractions.
Now, multiple each numerator by 2 and denominator by 3 and check if the fraction becomes 4/5.
This condition is satisfied only for the fraction 6/5.
Add 4 to the numerator and 5 to the denominator of each fraction and check if the fraction becomes 1.
This condition is satisfied for all the fractions.
Now, multiple each numerator by 2 and denominator by 3 and check if the fraction becomes 4/5.
This condition is satisfied only for the fraction 6/5.
i.e. (6 x 2)/(5 x 3) = 4/5
Hence, option 4.
Most Upvoted Answer
In a given fraction, if you add 4 to the numerator and 5 to the denomi...
To solve this question, let's assume the original fraction as x/y, where x is the numerator and y is the denominator.
Step 1: Adding 4 to the numerator and 5 to the denominator
When we add 4 to the numerator and 5 to the denominator, the new fraction becomes (x + 4)/(y + 5). According to the given information, this new fraction is equal to 1. So we can write the equation as:
(x + 4)/(y + 5) = 1
Step 2: Multiplying the numerator by 2 and denominator by 3
When we multiply the numerator by 2 and the denominator by 3, the new fraction becomes (2x)/(3y). According to the given information, this new fraction is equal to 4/5. So we can write the equation as:
(2x)/(3y) = 4/5
Step 3: Solving the equations
We have two equations:
(x + 4)/(y + 5) = 1 -- Equation 1
(2x)/(3y) = 4/5 -- Equation 2
Let's solve these equations simultaneously to find the values of x and y.
From Equation 1, we can rewrite it as:
x + 4 = y + 5 -- Equation 3
From Equation 2, we can rewrite it as:
10x = 12y -- Equation 4
Now, let's solve Equations 3 and 4 simultaneously.
Using Equation 3, we can rewrite it as:
x = y + 1 -- Equation 5
Substituting Equation 5 into Equation 4:
10(y + 1) = 12y
10y + 10 = 12y
10 = 12y - 10y
10 = 2y
y = 5
Substituting the value of y into Equation 5:
x = 5 + 1
x = 6
Therefore, the original fraction is 6/5, which matches with option D.
Step 1: Adding 4 to the numerator and 5 to the denominator
When we add 4 to the numerator and 5 to the denominator, the new fraction becomes (x + 4)/(y + 5). According to the given information, this new fraction is equal to 1. So we can write the equation as:
(x + 4)/(y + 5) = 1
Step 2: Multiplying the numerator by 2 and denominator by 3
When we multiply the numerator by 2 and the denominator by 3, the new fraction becomes (2x)/(3y). According to the given information, this new fraction is equal to 4/5. So we can write the equation as:
(2x)/(3y) = 4/5
Step 3: Solving the equations
We have two equations:
(x + 4)/(y + 5) = 1 -- Equation 1
(2x)/(3y) = 4/5 -- Equation 2
Let's solve these equations simultaneously to find the values of x and y.
From Equation 1, we can rewrite it as:
x + 4 = y + 5 -- Equation 3
From Equation 2, we can rewrite it as:
10x = 12y -- Equation 4
Now, let's solve Equations 3 and 4 simultaneously.
Using Equation 3, we can rewrite it as:
x = y + 1 -- Equation 5
Substituting Equation 5 into Equation 4:
10(y + 1) = 12y
10y + 10 = 12y
10 = 12y - 10y
10 = 2y
y = 5
Substituting the value of y into Equation 5:
x = 5 + 1
x = 6
Therefore, the original fraction is 6/5, which matches with option D.
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
In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct answer is option 'D'. Can you explain this answer?
Question Description
In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct 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 In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct 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 In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct answer is option 'D'. Can you explain this answer?.
In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct 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 In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct 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 In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct answer is option 'D'. Can you explain this answer?.
Solutions for In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct 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 In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?a)8/7b)3/2c)4/3d)6/5Correct answer is option 'D'. 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