CAT Quant Practice Problems

Question: A man distributed 43 chocolates to his children. How many of his children are more than five years old?

I. A child older than five years gets 5 chocolates.

II. A child 5 years or younger in age gets 6 chocolates.


  1. If the question can be answered with the help of statement I alone,
  2. If the question can be answered with the help of statement II alone,
  3. If both, statement I and statement II are needed to answer the question, and
  4. If the statement cannot be answered even with the help of both the statements.

Correct Option:3
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Concept: Try to see whether we can have a "UNIQUE/ABSOLUTE" answer to given question by applying statements with 3 posibilities.
If only 1st statement is taken into consideration.
If only 2nd statement is taken into consideration.
If both statements are taken into consideration.
In given question with first possibility, we can't have a unique answer as there can be 3 cases. Childs greater than 5 years, childs equal to 5 years and childs less than 5 years and with first possibility we know only that childs greater than 5 years get 5 choclates nothing about other two cases.
With second possibility too, we can't find a unique answer as we can't say anything about childs greater than 5 years
Now with third possibility, we are having a unique answer to given question because we have information about all childs which are either greater than 5 year , lesser or equal to 5 years. Childs older than 5 years will be 5, childs equal to 5 years are 2 and childs younger than 5 years will be 1.

So answer will be C)


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