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28%
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The ratio of the number of women to the number of men to the number of children in a room is 5:2:7, respectively. What is the total number of people in the room?
(1) The total number of women and children in the room is 12.
(2) There are fewer than 4 men in the room.
(1) The total number of women and children in the room is 12.
(2) There are fewer than 4 men in the room.
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11 Mar 2010, 05:50
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5:2:7
let say common ratio is k
so 5k women 2k men and 7k children
total people in the room = 5k+2k+7k=14k
stmt1: 5k+7k = 12 => k = 1
therefore, no of people is 14*1 = 14
stmt2: fewer than 4 men means men can be 1 2 or 3
if no of men is 1 dat means k is 0.5 and women = 5 * 0.5 = 2.5 not possible
if no of men is 2 dat means k is 1 and women = 5 and children = 7 possible
if no of men is 3 dat means k is 1/3 and women = 5/3 not possible
since there is only one case so we can deduce no of people from this stmt too
so, answer is D
let say common ratio is k
so 5k women 2k men and 7k children
total people in the room = 5k+2k+7k=14k
stmt1: 5k+7k = 12 => k = 1
therefore, no of people is 14*1 = 14
stmt2: fewer than 4 men means men can be 1 2 or 3
if no of men is 1 dat means k is 0.5 and women = 5 * 0.5 = 2.5 not possible
if no of men is 2 dat means k is 1 and women = 5 and children = 7 possible
if no of men is 3 dat means k is 1/3 and women = 5/3 not possible
since there is only one case so we can deduce no of people from this stmt too
so, answer is D
28 Apr 2008, 13:38
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Say total number of people are = 70x
So Women = 70x*5/14 = 25x
Children = 7*70x/14 = 35x
Men = 2*70x/14 = 10x
Statement 1:
Tells us 25x + 35x = 60x = 12, so total number of people = 70/5 = 14. So you know total number of people. Question is answered.
Statement 2:
Tells us there are fewer than 4 men in room. So it can be 1, 2, or 3.
If Men = 1, then women = 5/2 *1 = 2.5 So Not Possible
If Men = 2, then Women = 5/2 * 2 = 5, and Children = 7/2 * 2 = 7
If Men = 3, then Women = 5/2 * 3 = 7.5 So Not Possible.
From this statement also we know what the total number of people is. So this also answers the question.
Answer D.
So Women = 70x*5/14 = 25x
Children = 7*70x/14 = 35x
Men = 2*70x/14 = 10x
Statement 1:
Tells us 25x + 35x = 60x = 12, so total number of people = 70/5 = 14. So you know total number of people. Question is answered.
Statement 2:
Tells us there are fewer than 4 men in room. So it can be 1, 2, or 3.
If Men = 1, then women = 5/2 *1 = 2.5 So Not Possible
If Men = 2, then Women = 5/2 * 2 = 5, and Children = 7/2 * 2 = 7
If Men = 3, then Women = 5/2 * 3 = 7.5 So Not Possible.
From this statement also we know what the total number of people is. So this also answers the question.
Answer D.
