Question:
What is Preetee's age?
Statements:
I. Preetee is 10 years younger to her sister Arpita.
II. Arpita is 25 years younger to her mother and 30 years younger to her father.
Preetee's Age Data Sufficiency Analysis
The question asks to determine Preetee's exact age. We need to evaluate if the given statements provide enough information.
Statement I Analysis
Statement I says: Preetee is 10 years younger to her sister Arpita.
This can be written as:
P = A - 10
Where P is Preetee's age and A is Arpita's age.
Since Arpita's age (A) is unknown, we cannot find Preetee's age (P) from this statement alone.
Conclusion: Statement I alone is not sufficient.
Statement II Analysis
Statement II says: Arpita is 25 years younger to her mother and 30 years younger to her father.
This can be written as:
A = M - 25
A = F - 30
Where M is the mother's age and F is the father's age.
This statement only provides the age difference between Arpita and her parents. The parents' ages (M and F) are unknown. Therefore, we cannot determine Arpita's age (A) from this statement alone.
Conclusion: Statement II alone is not sufficient.
Statements I and II Together Analysis
Combining both statements:
- From I: P = A - 10
- From II: A = M - 25 (or A = F - 30)
Substituting the expression for A from Statement II into Statement I:
P = (M - 25) - 10 = M - 35
or
P = (F - 30) - 10 = F - 40
Even when combined, the ages of the mother (M) and father (F) remain unknown. Without knowing the parents' ages, we cannot calculate Arpita's age, and consequently, we cannot determine Preetee's age.
Conclusion: Statements I and II together are not sufficient.
Final Answer Determination
Since neither statement alone nor both statements together provide sufficient information to determine Preetee's age, the correct option is that the statements are not sufficient.
Similar Questions
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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?
