CAT Question 172
Each family in a locality has at most tow adults, and no family has fewer than 3 children. Considering all the families together, there are adults than boys, more boys than girls, and more girls than families, Then the minimum possible number of families in the locality is
1. 4
2. 5
3. 2
4. 3
December 3rd, 2009 at 9:05 am
answer is option 4th.
3 families, 4girls, 5 boys, 6 adults.
July 15th, 2010 at 5:31 pm
take families as x now we have condition that
2x>(3x/2+y)>(3x/2-y)>x
keeping in mind the condition take all the values of x starting from lowest i9n the option. the value for which all of the become integers is the correct one (y can have any fractional or integer value)
September 25th, 2010 at 11:01 am
Let A, B, G, F denotes Total number of Adults, Boys, Girls and Families in the society.
1. so A > B > G > F
2. A = 3F (As minimum 3 child per family)
4. Objective is to find Minimum possible no. of families
5. From options lets take two (minimum)
6. So, A = 6 (from 2 and 3)
7. As B > G, (B,G) can be (4,2), (5,1) or (6,0) (at least)
8. In this situation A is not greater than any value of B.
9. Thus option 3 is wrong
10. Selecting next higher figure i.e. 3 we get the answer
11. Hence Option 4 is right
August 2nd, 2011 at 7:57 am
2x>(3x-y)>y>x
3x > 2y
solving for x=2 , 6 > 2y where y is greater than 2 is none
3x > 2y
solving for x=3, 9 > 2y where y is greater than 3 is 4
and solve other numbers