Consider the Question and two Statements given below: Question: What is the age of Manisha? Statement- 1: Manisha is 24 years younger than her mother. Statement- 2: 5 years later, the ages of Manisha and her mother will be in the ratio 3: 5. Which one of the following is correct in respect of the Question and the Statement?

The question asks for Manisha's age. Statement-1: Manisha is 24 years younger than her mother. This gives a relationship between Manisha's age (M) and her mother's age (Mo): Mo - M = 24. It does not provide specific ages, so Statement-1 alone is not sufficient. Statement-2: 5 years later, the ages of Manisha and her mother will be in the ratio 3: 5. This gives another relationship: (M+5) / (Mo+5) = 3/5. It does not provide specific ages, so Statement-2 alone is not sufficient. Combining Statement-1 and Statement-2: From Statement-1, we have Mo = M + 24. Substitute this into the equation from Statement-2: 5(M+5) = 3(Mo+5) 5M + 25 = 3((M+24)+5) 5M + 25 = 3(M + 29) 5M + 25 = 3M + 87 2M = 62 M = 31 We can uniquely determine Manisha's age (31 years) by using both statements together. Therefore, both Statement-1 and Statement-2 are sufficient to answer the Question. The final answer is C