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Men + women + children < 120

Q. How many men were there?

(1) men : women : children = 15:32:17
If we add up the ratio, we will get a total of 15+32+17=64. The total attendees must NOT be more than 120 (e.g. 64*2=128). Thus, we are confident that 15 men attended the event
SUFFICIENT

(2) women < 50
Here, we don't know exact number of women and children who attended the event. Thus, we cannot deduce the number of men who attended the event.
NOT SUFFICIENT

FINAL ANSWER IS (A)

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given that total m+w+c<120
#1

The ratio of men to women to children at the event was 15:32:17
the total has to be factor of 64*x
since its given that m+w+c<120
so x has to be 64 ; only possible hence sufficient
#2
The number of women at the event was less than 50
insufficient
IMO A

At a community event, the total number of men, women, and children in attendance was less than 120. How many men attended the event?

(1) The ratio of men to women to children at the event was 15:32:17

(2) The number of women at the event was less than 50
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At a community event, the total number of men, women, and children in attendance was less than 120. How many men attended the event?

(1) The ratio of men to women to children at the event was 15:32:17
15 + 32 + 17 = 64 Possible
2*(15 + 32 + 17) = 128 Not Possible

SUFFICIENT.

(2) The number of women at the event was less than 50
Many possibilities are there.

INSUFFICIENT.

Answer A.
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Quote:
At a community event, the total number of men, women, and children in attendance was less than 120. How many men attended the event?

(1) The ratio of men to women to children at the event was 15:32:17

(2) The number of women at the event was less than 50

(1) sufic

15x+32x+17x=64x
people are whole numbers (integers)
thus, if x=2 then total>120; so x=1.

(2) insufic

Ans (A)
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At a community event, the total number of men, women, and children in attendance was less than 120. How many men attended the event?

(1) The ratio of men to women to children at the event was 15:32:17

(2) The number of women at the event was less than 50

stem: m+w+c<120
1)15x+32x+17x<120
64x<120,
so x=1
sufficient to find men

2)m+w+c<120
w<50
m+c<70
insufficient
ANs A
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Answer is supposedly A.
Both statement are enough alone.

The total number of men, women, and children in attendance was less than 120.
The no. Of men attended the function was:

Statement (1) The ratio of men to women to children at the event was 15:32:17.
Which can only be 15:32:17
(Because other values will make the no. Of men in decimal which is not possible)
So 15+32+17<120
64<120
So no. Of men present were 15 (sufficient)


(2) The number of women at the event was less than 50
( No parameter given to consider the no. Of men at the function)(not sufficient)

So IOC is supposedly A

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At a community event, the total number of men, women, and children in attendance was less than 120. How many men attended the event?
--> \(M+W+Ch < 120 \)
\(M= ???\)

(Statement1): The ratio of men to women to children at the event was 15:32:17
\(15x+ 32X+ 17x = 64x \)
--> x cannot be greater than 1, just 1.
Well, In total, there are 64 people attended the event. From them, 15 people are men.
Sufficient

(Statement2): The number of women at the event was less than 50
The number of men can be any number less than 70.
Insufficient

Answer( A)
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