In a meeting the ratio of men to women was 1:2 but after 2 men and 2 women left, the ratio becomes 1:3. What was the total no. of people attending the meeting?
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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.
Spoiler: OA
Last edited by Bunuel on 24 Sep 2013, 07:40, edited 1 time in total.
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.
(1) The total number of women and children in the room is 12.
(2) There are fewer than 4 men in the room.
Spoiler: OA
Last edited by Bunuel on 24 Sep 2013, 07:40, edited 1 time in total.
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.
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