CAT Quantitative Ability Questions | CAT Permutation, Combination and Probability questions

CAT/2004

Question . 24

Each family in a locality has at most two adults, and no family has fewer than 3 children. Considering all the families together, thereare more adults than boys, more boys than girls, and more girls than families. Then the minimum possible number of families inthe locality is

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Explanatory Answer

Method of solving this CAT Quantitative Ability Question from Permutation, Combination and Probability question

(d) Given that A > B > G > F. Satisfying this condition, ifF = 2, then, G = 3, B = 4, A = 5.

But this violates the condition that adults per familyshould be atmost 2.

Hence, we take the next option : F= 3, then G = 4, B = 5, A = 6.

Here all conditions are satisfied. Hence, the answer is(d).