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set 26 q 2


 
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radhika1306
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PostPosted: Tue Sep 11, 2007 12:07 pm    Post subject: set 26 q 2 Reply with quote

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.
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kajcha
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PostPosted: Tue Sep 11, 2007 12:28 pm    Post subject: Reply with quote

Ans should be D

Question says Out of 14 (5+2+7) people there are 12 women and children

Stmt 1 - there are 12 women and children so total no of people = 14

Stmt 2 - no of men < 4. To satisfy the ration of 5:2:7 no of men has to be 2. Again total no of people = 12
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PostPosted: Tue Sep 11, 2007 3:16 pm    Post subject: Re: set 26 q 2 Reply with quote

radhika1306 wrote:
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.



Statement (1)

(a)5x+2x+7x=z x=multiplying factor, z is actual total number of people

women+chlidren=12 => 5x+7x=12 solve for x and plug it back in to (a) to get total number
(2) men<4

Find out multiplying factor which doesn't produce fraction for women and children. Only when men=1 will the numbers be a whole number.

D
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