Question: In which year was Rahul born ? Statements: Rahul at present is 25…
2023
Question: In which year was Rahul born ?
Statements:
Rahul at present is 25 years younger to his mother.
Rahul's brother, who was born in 1964, is 35 years younger to his mother.
- A.
I alone is sufficient while II alone is not sufficient
- B.
II alone is sufficient while I alone is not sufficient
- C.
Either I or II is sufficient
- D.
Neither I nor II is sufficient
Attempted by 23 students.
Show answer & explanation
Correct answer: D
Key insight: you need both the mother's birth year (an absolute year) and Rahul's age relative to the mother to find Rahul's birth year.
Evaluate the statement that Rahul is 25 years younger than his mother: This gives only a relative difference (Rahul is mother_birth_year + 25), but no absolute year is provided, so this statement alone is insufficient.
Evaluate the statement that Rahul's brother was born in 1964 and is 35 years younger than the mother: From this we can find the mother's birth year as 1964 - 35 = 1929. However, without Rahul's relation to the mother we cannot get Rahul's birth year, so this statement alone is also insufficient.
Combine both statements: Mother's birth year = 1964 - 35 = 1929. Rahul is 25 years younger than the mother, so Rahul's birth year = 1929 + 25 = 1954.
Conclusion: Neither statement alone is sufficient to determine Rahul's birth year, but together they are sufficient. Rahul was born in 1954.