Statements:
I. Rahul was born when his father was 33 years old.
II. Rahul is 29 years younger than his mother.
Both statements I and II together are NOT sufficient to answer the question
Evaluating Data Sufficiency for Rahul's Age
The question asks us to determine Rahul's current age in years based on two given statements.
Analysis of Statement I
Statement I says: Rahul was born when his father was 33 years old.
This tells us the age difference between Rahul's father and Rahul. If we let $R$ represent Rahul's current age and $F$ represent his father's current age, then the father was 33 years old when Rahul was born (age 0). This implies:
$ F = R + 33 $
Or, rearranging to find Rahul's age:
$ R = F - 33 $
However, we do not know the father's current age ($F$). Therefore, Statement I alone is not sufficient to find Rahul's age.
Analysis of Statement II
Statement II says: Rahul is 29 years younger than his mother.
This tells us the age difference between Rahul's mother and Rahul. If we let $M$ represent his mother's current age, this statement means:
$ M = R + 29 $
Or, rearranging to find Rahul's age:
$ R = M - 29 $
Similar to Statement I, we do not know the mother's current age ($M$). Therefore, Statement II alone is not sufficient to find Rahul's age.
Analysis of Both Statements Together
Now, let's consider both statements together:
- From Statement I: $ R = F - 33 $
- From Statement II: $ R = M - 29 $
We have two equations but three unknowns ($R$, $F$, $M$). To find Rahul's age ($R$), we would need the current age of either his father ($F$) or his mother ($M$). Since we don't have either of those values, even combining both statements does not give us enough information to calculate Rahul's exact age.
Conclusion
Therefore, both statements I and II together are NOT sufficient to answer the question about Rahul's age.
Important Questions from Data Sufficiency
Consider two Statements and a Question:
Statement 1: Priya is 4 ranks below Seema and is 31 st from the bottom.
Statement 2: Ena is 2 ranks above Seema and is 37" from the bottom.
Question: What is Seema’s rank from the top in the class of 40 students ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question:
Statement 1: Each of A and D is heavier than each of B, E and F, but none of them is the-heaviest.
Statement 2: A is heavier than D, but is lighter than C.
Question: Who is the heaviest among A,B,C, D and E?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question :
Statement-1 : The last day of the month is a Wednesday.
Statement-2 : The third Saturday of the month was the seventeenth day.
Question : What day is the fourteenth of the given month ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider the Question and two Statements given below :
Question : Is xan integer?
Statement-1 : x / 3 is not an integer.
Statement-2 : 3 xis an integer.
Which one of the following is correct in respect of the Question and the Statements?
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?
