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Question: What is the present age of the father? Statement I: The father is 30 years older than his son. Statement II: Five years ago, the father was four times as old as his son. Which statement(s) is/are sufficient to answer the question?

Competition practiceData Sufficiency
  • AStatement I alone is sufficient but Statement II alone is not
  • BStatement II alone is sufficient but Statement I alone is not
  • CEither statement alone is sufficient
  • DBoth statements together are needed (neither alone is sufficient)

Step-by-Step Solution

Each statement alone leaves one unknown. Together: son + 30 - 5 = 4(son - 5) gives son = 15, so the father is 45.
Answer: D) Both statements together are needed (neither alone is sufficient)

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