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Data Sufficiency — Year of birth: determine Rahul’s birth year Question: In which year was Rahul born? Statements: I. Rahul at present is 25 years younger than his mother. II. Rahul's brother, born in 1964, is 35 years younger than his mother. Choose the correct sufficiency conclusion.

Difficulty: Easy

Correct Answer: Neither I nor II is sufficient

Explanation:


Analyze each statement

  • I alone: Gives only the age difference (Mother − Rahul = 25). Without the mother's birth year/age, Rahul's year of birth is indeterminate.
  • II alone: From “brother was born in 1964 and is 35 years younger than mother” ⇒ Mother's birth year = 1964 − 35 = 1929. But Rahul's age difference from mother is unknown, so Rahul's birth year is still indeterminate.


Together
With I + II, one could find Rahul's year (1929 + 25 = 1954). However, neither statement alone is sufficient by itself.


Final Sufficiency Choice
Neither I nor II is sufficient.

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