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If a : b is 2 : 5, b : c is 3 : 5 and c : d is 5 : 4, what is the rati

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Math Expert
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Joined: 02 Sep 2009
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If a : b is 2 : 5, b : c is 3 : 5 and c : d is 5 : 4, what is the rati  [#permalink]

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New post 16 Jan 2020, 23:52
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (01:23) correct 15% (01:22) wrong based on 25 sessions

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Re: If a : b is 2 : 5, b : c is 3 : 5 and c : d is 5 : 4, what is the rati  [#permalink]

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New post 17 Jan 2020, 10:29
1

Solution



Given
In this question, we are given that
    • a: b = 2: 5
    • b: c = 3: 5
    • c: d = 5: 4

To find
We need to determine
    • a: b: c: d =?

Approach and Working out
As a: b = 2: 5 = 6: 15 and b: c = 3: 5 = 15: 25, we can combine them and write
    • a: b: c = 6: 15: 25

Also, a: b: c = 6: 15: 25 and c: d = 5: 4 = 25: 20, we can combine them and write
    • a: b: c: d = 6: 15: 25: 20


Bunuel wrote:
If a : b is 2 : 5, b : c is 3 : 5 and c : d is 5 : 4, what is the ratio a : b : c : d?

A. 6 : 15 : 25 : 20
B. 6 : 15 : 25 : 40
C. 6 : 15 : 50 : 20
D. 6 : 15 : 25 : 10
E. 6 : 15 : 25 : 20


Bunuel there seems to be some error as options A and E are same
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Re: If a : b is 2 : 5, b : c is 3 : 5 and c : d is 5 : 4, what is the rati  [#permalink]

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New post 17 Jan 2020, 02:15
Bunuel wrote:
If a : b is 2 : 5, b : c is 3 : 5 and c : d is 5 : 4, what is the ratio a : b : c : d?

A. 6 : 15 : 25 : 20
B. 6 : 15 : 25 : 40
C. 6 : 15 : 50 : 20
D. 6 : 15 : 25 : 10
E. 6 : 15 : 25 : 20


a:b:c
2:5
:3:5
6:15:25
a:b:c:d
6:15:25
5:4
30:75:125:100
or say
6 : 15 : 50 : 20
IMO C
Math Expert
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Posts: 62496
Re: If a : b is 2 : 5, b : c is 3 : 5 and c : d is 5 : 4, what is the rati  [#permalink]

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New post 18 Jan 2020, 02:00
EgmatQuantExpert wrote:

Solution



Given
In this question, we are given that
    • a: b = 2: 5
    • b: c = 3: 5
    • c: d = 5: 4

To find
We need to determine
    • a: b: c: d =?

Approach and Working out
As a: b = 2: 5 = 6: 15 and b: c = 3: 5 = 15: 25, we can combine them and write
    • a: b: c = 6: 15: 25

Also, a: b: c = 6: 15: 25 and c: d = 5: 4 = 25: 20, we can combine them and write
    • a: b: c: d = 6: 15: 25: 20


Bunuel wrote:
If a : b is 2 : 5, b : c is 3 : 5 and c : d is 5 : 4, what is the ratio a : b : c : d?

A. 6 : 15 : 25 : 20
B. 6 : 15 : 25 : 40
C. 6 : 15 : 50 : 20
D. 6 : 15 : 25 : 10
E. 6 : 15 : 25 : 20


Bunuel there seems to be some error as options A and E are same


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Fixed. Thank you for noticing!
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Re: If a : b is 2 : 5, b : c is 3 : 5 and c : d is 5 : 4, what is the rati   [#permalink] 18 Jan 2020, 02:00
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