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CAT 2004 | Question: 53

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Each family in a locality has at most two adults, and no family has fewer than three children. Considering all the families together, there are more adults than boys, more boys than girls, and more girls than families. Then the minimum possible number of family in the locality is

  1. $4$
  2. $5$
  3. $2$
  4. $3$

1 Answer

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Option 4 is ans.

By option elimination

As they asked minimum take first  if no. of family is 2

Now try to Satisfy given constraint

Adult > Boy > Girl > Family

5>4>3>2 (We need this but the constraint each family is atmost 2 adults not holds here)

So now suppose  if no. of family is 3

Now try to Satisfy given constraint

Adult > Boy > Girl > Family

6>5>4>3

Now 3 families each have 2 asults so total 6 Adults.

Each family 3 children so total 9 children (5Boys + 4 Girls)

So all condition satisfied with No. Of family =3

 

So Option 4 is Ans.
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