Data Sufficiency: Q49 set "A" UPSC CSE Prelims Paper-2 (CSAT)

Data Sufficiency: Q49 set "A" UPSC CSE Prelims Paper-2 (CSAT)

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 Statements?  (a) Statement-1 alone is sufficient to answer the Question (b) Statement-2 alone is sufficient to answer the Question (c) Both Statement-1 and Statement-2 are sufficient to answer the Question (d) Both Statement-1 and Statement-2 are not sufficient to answer the Question Solution : Statement-2 alone is not sufficient to answer the question, but if taken together with Statement-1, the age of Manisha can be determined. Let's assume the age of Manisha's mother as M. From Statement-1, we know that Manisha is 24 years younger than her mother, so Manisha's age can be expressed as (M - 24). Now, according to Statement-2, 5 years later, the ratio of Manisha's age to h…