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Madao9898
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On Rose day, a flower shop sells 245 bouquets, each having at least 10 Updated on: 26 Feb 2024, 06:18
Originally posted by Madao9898 on 27 Mar 2023, 00:26.
Last edited by Bunuel on 26 Feb 2024, 06:18, edited 2 times in total.
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C
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75% (hard)

Question Stats:

67% (03:47) correct 33% (03:35) wrong based on 201 sessions

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On Rose day, a flower shop sells 245 bouquets, each having at least 10 roses. Each rose is either red or white or yellow in color. The number of bouquets that have only red roses is 15 times the number of bouquets that have only red and white roses. The number of bouquets that have only yellow roses is 25 times the number of bouquets that have only white roses. The number of bouquets which have only white roses is one-third the number of bouquets that have only red and white roses. If the number of bouquets which have yellow roses is 2/5th the total number of bouquets, how many bouquets have exactly one colored rose?

(A) 135
(B) 175
(C) 213
(D) 216
(E) 219­
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C
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Subliminal
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On Rose day, a flower shop sells 245 bouquets, each having at least 10 26 Feb 2024, 04:59
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­Here's my take on this question:

Attachment:
26th Feb - Post 1.jpg
26th Feb - Post 1.jpg [ 76.24 KiB | Viewed 6511 times ]

Hope this helps!
Cheers
BT


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Dooperman
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On Rose day, a flower shop sells 245 bouquets, each having at least 10 22 Jun 2024, 10:42
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Only one option is divisible by 71.
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On Rose day, a flower shop sells 245 bouquets, each having at least 10 22 Jun 2024, 10:57
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If we use the approach of simple equations or venn diagram, then with the given information we can make out that-

Number of only red roses - 15x
Number of only white roses = x/3
Number of only yellow roses = 25x/3

on adding the 3, we get 71x and there is only one option that is divisible by 71 and that is option C
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On Rose day, a flower shop sells 245 bouquets, each having at least 10 04 Jul 2024, 10:19
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Could you please explain, I am not following. If you add all 3, won't you get (71*x)/3?
Bunuel GMATNinja could you please help? 
karu26
If we use the approach of simple equations or venn diagram, then with the given information we can make out that-

Number of only red roses - 15x
Number of only white roses = x/3
Number of only yellow roses = 25x/3

on adding the 3, we get 71x and there is only one option that is divisible by 71 and that is option C
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abeezor
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On Rose day, a flower shop sells 245 bouquets, each having at least 10 07 Sep 2024, 10:59
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mollyweasley
Could you please explain, I am not following. If you add all 3, won't you get (71*x)/3?
Bunuel GMATNinja could you please help?
karu26
If we use the approach of simple equations or venn diagram, then with the given information we can make out that-

Number of only red roses - 15x
Number of only white roses = x/3
Number of only yellow roses = 25x/3

on adding the 3, we get 71x and there is only one option that is divisible by 71 and that is option C
­
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­Only W= x
R+W= 3x
Only R= 45x
Only Y= 25x

Tot of above= 71x
TF, only 213 is divisble by 71 to give us an integer val for x (as we cannot have half roses ofc).
Sharing basis my understanding, hope this helps.
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On Rose day, a flower shop sells 245 bouquets, each having at least 10 13 Sep 2025, 05:32
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