GMAT Exam > GMAT Questions > If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d...
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If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?
- a)5:12
- b)7:12
- c)3:11
- d)5:11
- e)7:11
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?a)5:12b)7:12c)3:11d)5:11...
a/d = (3/4)*(7/9)*(5/7) => 5/12
Most Upvoted Answer
If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?a)5:12b)7:12c)3:11d)5:11...
Given,
a:b = 3:4
b:c = 7:9
c:d = 5:7
To find: a:d
We can use the concept of proportionality to solve this problem. If a:b = m:n, then we can say that a/b = m/n. Using this concept, we can find the values of b, c, and d in terms of a.
a:b = 3:4
=> a/b = 3/4
=> b = 4a/3
b:c = 7:9
=> b/c = 7/9
=> 4a/3c = 7/9
=> c = 36a/28 = 9a/7
c:d = 5:7
=> c/d = 5/7
=> 9a/7d = 5/7
=> d = 63a/45 = 7a/5
Now, we can substitute the values of b, c, and d in terms of a to find a:d.
a:d = a/(7a/5) = 5/7
Therefore, the answer is option A, 5:12.
a:b = 3:4
b:c = 7:9
c:d = 5:7
To find: a:d
We can use the concept of proportionality to solve this problem. If a:b = m:n, then we can say that a/b = m/n. Using this concept, we can find the values of b, c, and d in terms of a.
a:b = 3:4
=> a/b = 3/4
=> b = 4a/3
b:c = 7:9
=> b/c = 7/9
=> 4a/3c = 7/9
=> c = 36a/28 = 9a/7
c:d = 5:7
=> c/d = 5/7
=> 9a/7d = 5/7
=> d = 63a/45 = 7a/5
Now, we can substitute the values of b, c, and d in terms of a to find a:d.
a:d = a/(7a/5) = 5/7
Therefore, the answer is option A, 5:12.
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Community Answer
If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?a)5:12b)7:12c)3:11d)5:11...
If a:b = 3:4 , b:c =7:9 and c:d = 5:7 , what is a:d = ?
- a:b=3:4 and b:c =7:9
or
a:b=21:28 and b:c=28:36
- Next , b:c=28:36 and c:d=5:6
or
b:c=140:180 and c:d=180:252
- Again b:c=140:180 and a:b=21:28
or
therefore:- a:b= 105:140
:- Hence, a:b:c:d = 105:140:180:252
or
( a:d = 105:252 , or 5:12 )
- Therefore option A is correct
- a:b=3:4 and b:c =7:9
or
a:b=21:28 and b:c=28:36
- Next , b:c=28:36 and c:d=5:6
or
b:c=140:180 and c:d=180:252
- Again b:c=140:180 and a:b=21:28
or
therefore:- a:b= 105:140
:- Hence, a:b:c:d = 105:140:180:252
or
( a:d = 105:252 , or 5:12 )
- Therefore option A is correct
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