GMAT Exam > GMAT Questions > If a : b = 7 : 5, b : c = 9 : 11, find a : b ...
Start Learning for Free
If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?
- a)42 : 33 : 55
- b)63 : 45 : 55
- c)55 : 39 : 45
- d)62 : 89 : 20
- e)65 : 30 : 63
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : ...
Given: a:b = 7:5 and b:c = 9:11
To find: a:b:c
Solution:
We can use the concept of proportionality here. If a:b = 7:5, then we can write:
a = (7/5) b
Similarly, if b:c = 9:11, then we can write:
c = (11/9) b
Substituting the value of b in the above equation, we get:
c = (11/9) (5/7) a
c = (55/63) a
Therefore, a:b:c = a:b:(55/63)a
We can simplify this ratio by multiplying all the terms by 63 (the LCM of 1, 7, and 9):
a:b:c = 63a/5 : 63b/7 : 55a/9
a:b:c = 63a : 45b : 55a (Canceling out the common factors)
a:b:c = 63:45:55
Hence, the answer is option B) 63:45:55.
To find: a:b:c
Solution:
We can use the concept of proportionality here. If a:b = 7:5, then we can write:
a = (7/5) b
Similarly, if b:c = 9:11, then we can write:
c = (11/9) b
Substituting the value of b in the above equation, we get:
c = (11/9) (5/7) a
c = (55/63) a
Therefore, a:b:c = a:b:(55/63)a
We can simplify this ratio by multiplying all the terms by 63 (the LCM of 1, 7, and 9):
a:b:c = 63a/5 : 63b/7 : 55a/9
a:b:c = 63a : 45b : 55a (Canceling out the common factors)
a:b:c = 63:45:55
Hence, the answer is option B) 63:45:55.
Free Test
FREE
| Start Free Test |
Community Answer
If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : ...
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer?
Question Description
If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer?.
If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer?.
Solutions for If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer?, a detailed solution for If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If a : b = 7 : 5, b : c = 9 : 11, find a : b : c?a)42 : 33 : 55b)63 : 45 : 55c)55 : 39 : 45d)62 : 89 : 20e)65 : 30 : 63Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT 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!
within 7 days!
Takes less than 10 seconds to signup