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Bunuel
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A florist found that 60% of his customers on Valentine's Day bought 26 May 2025, 00:30
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95% (hard)

Question Stats:

36% (02:29) correct 64% (02:44) wrong based on 83 sessions

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A florist found that 60% of his customers on Valentine's Day bought roses. People had the option that day of buying red roses, yellow roses or orange roses and half of all the people who bought roses bought red roses. Did more than half the customers buy exactly two varieties of rose?

(1) Of the 80 customers the florist had, only those people buying red roses also bought exactly one other type of rose.
(2) Of the 80 customers the florist had, half of the people who bought red roses bought exactly one other type of rose.


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ManifestDreamMBA
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A florist found that 60% of his customers on Valentine's Day bought 26 May 2025, 01:13
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Let total customers be x
Rose customers = 0.6x
Red Rose customers = 0.3x
Other rose customers = 0.3x

Did more than half the customers buy exactly two varieties of rose? I.e. is it > 0.5x

S1
Of the 80 customers the florist had, only those people buying red roses also bought exactly one other type of rose.
0.3x bought rose. If only these people bought exactly one other type of rose, then the total cannot be more than 0.3x
0.3x > 0.5x - Not true
Sufficient

S2
Of the 80 customers the florist had, half of the people who bought red roses bought exactly one other type of rose.
This gives us 0.15x. Even if all the other rose customers bought 1 more rose, then max would 0.15x+0.3x = 0.45x (though that's not possible, because we will have scenarios where people got all 3 variety of roses)
0.45x > 0.5x - Not true
Sufficient

Answer D

Bunuel
A florist found that 60% of his customers on Valentine's Day bought roses. People had the option that day of buying red roses, yellow roses or orange roses and half of all the people who bought roses bought red roses. Did more than half the customers buy exactly two varieties of rose?

(1) Of the 80 customers the florist had, only those people buying red roses also bought exactly one other type of rose.
(2) Of the 80 customers the florist had, half of the people who bought red roses bought exactly one other type of rose.


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A florist found that 60% of his customers on Valentine's Day bought 27 May 2025, 12:39
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Bunuel
A florist found that 60% of his customers on Valentine's Day bought roses. People had the option that day of buying red roses, yellow roses or orange roses and half of all the people who bought roses bought red roses. Did more than half the customers buy exactly two varieties of rose?

(1) Of the 80 customers the florist had, only those people buying red roses also bought exactly one other type of rose.
(2) Of the 80 customers the florist had, half of the people who bought red roses bought exactly one other type of rose.


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Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
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Since each of the statemets give the total # of customers, we can consider this info to be given in the stem itself.
So we have 80 customers.

\( 48 = 24+y+0\)

We need to know did more than \(40\) buy two color.

(1) Of the 80 customers the florist had, only those people buying red roses also bought exactly one other type of rose.

This clearly tells us that ONLY those who bought red, bought exactly one other color.
Thus we have \(24\) people who bought exactly two colors. The keyword is ONLY.
We can answer NO

SUFF.

(2) Of the 80 customers the florist had, half of the people who bought red roses bought exactly one other type of rose.

Now we know \( 12 \) bought Red + other color.
But this does not mean ONLY \(12\) bought exactly two colors.

We have no info of the other \(12\) who bought red rose.
We have no information about the other \(24\) people who did not buy red roses.
INSUFF.

Ans A

Hope it helped.
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A florist found that 60% of his customers on Valentine's Day bought 27 May 2025, 12:44
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Hi Bunuel, can you please share official answer for this.
Bunuel
A florist found that 60% of his customers on Valentine's Day bought roses. People had the option that day of buying red roses, yellow roses or orange roses and half of all the people who bought roses bought red roses. Did more than half the customers buy exactly two varieties of rose?

(1) Of the 80 customers the florist had, only those people buying red roses also bought exactly one other type of rose.
(2) Of the 80 customers the florist had, half of the people who bought red roses bought exactly one other type of rose.


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Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
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