A question is given, followed by three statements labelled I, II and III. Identify which of the statements is/are sufficient to answer the question.

Question:

What is Mala's age?

Statements:

I. The sum of Rohan's, Sheela's and Mala's age is 95.

II. Rohan is younger than Mala.

III. Mala is 10 years older than Sheela.

Solution

Statement I: The sum of Rohan's, Sheela's, and Mala's age is 95. This statement alone is not sufficient because it doesn't provide information about the individual ages. Statement II: Rohan is younger than Mala. This statement alone is not sufficient because it only provides a relationship between Rohan and Mala but doesn't give specific ages. Statement III: Mala is 10 years older than Sheela. This statement alone is not sufficient as it only gives the age difference between Mala and Sheela but doesn't provide any individual ages. Combining statements II and III: Since Rohan is younger than Mala and Mala is 10 years older than Sheela, we can deduce that Mala is older than Sheela and Rohan. However, we still can't determine Mala's exact age. Combining all three statements: With all three statements combined, we know the relationship between Mala, Rohan, and Sheela, as well as the total of their ages. Therefore, we can calculate Mala's age. So, the correct answer is: 4. Statements I, II, and III together are sufficient.