Question: Lionel and Ronaldo had a discussion on the ages of Jose’s sons. Ronaldo made following statements about Jose’s sons:
Jose has three sons.
The sum of the ages of Jose’s sons is 13.
The product of the ages of the sons is the same as the age of Lionel.
Jose’s eldest son, Zizou weighs 32 kilos.
The sum of the ages of the younger sons of Jose is 4.
Jose has fathered a twin.
Jose is not the father of a triplet.
The LCM of the ages of Jose’s sons is more than the sum of their ages.
Which of the following combination gives information sufficient to determine the ages of Jose’s sons?
Explanation:
Consider each option separately,
Consider option A:
In this case, we don’t know the Lionel’s age.
Hence, the only conclusion can be derived is;
Jose has 3 sons and sum of their age is 13.
Consider option B:
In this case also, we only know that Jose has 3 sons and sum of their ages is 13 and two of them are twin.
But it still doesn’t provide adequate information to calculate age of each son.
Consider option C:
As, age of Lionel is not known, we only know that the sum of ages of Jose’s three son is 13 out of which sum of the age of the younger two brother is 4.
By this we can calculate age of the Jose’s eldest son, but we cannot age of the remaining two children.
Consider option D:
In this case, statement 7 is redundant, as by statement 2 only we can guess that Jose is not the father of a triplet.
Hence this statement doesn’t provide adequate information to guess the ages of all the three children.
Consider option E:
By, i, ii and iii, we can conclude that the age of the Jose’s eldest son is 9 and sum of the other two children is 4.
Now, by statement vi, Jose has fathered twins, we can easily conclude that the younger two children are twins.
Hence, their ages are 2 and 2 respectively.
Hence, E is sufficient to answer.
Hence, option (e).