Data Sufficiency · Question 14 · Hard

Data Sufficiency question 14

Each question has two statements. Decide whether the data in the statements is sufficient to answer the question.
Question: What is the value of the integer x?
I. x² − 5x + 6 = 0.
II. x is a prime number.

  1. Statement I alone is sufficient
  2. Statement II alone is sufficient
  3. Both statements together are needed
  4. Both statements together are not sufficient
Answer and explanation

Answer: D. Both statements together are not sufficient

Explanation: I gives x = 2 or x = 3. Both 2 and 3 are prime, so II does not decide between them. The data is not sufficient.

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