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Data Sufficiency Question 2 – answer, explanation & discussion

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Question 2 Back to Exercise

How many handshakes took place?

I. Each person shook hands once with every other person.
II. There were 10 people and each pair shook hands exactly once.

  • A Statement I alone is sufficient, but Statement II alone is not sufficient
  • B Statement II alone is sufficient, but Statement I alone is not sufficient Correct
  • C Each statement alone is sufficient
  • D Both statements together are sufficient, but neither statement alone is sufficient
  • E Statements I and II together are not sufficient
Correct Answer: Option B

I: number of people unknown. Not sufficient.

II: 10C2 = 45. Sufficient.

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