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Data Sufficiency Question 3 – answer, explanation & discussion

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Question 3 Back to Exercise

How many sides does the polygon have?

I. It has 20 diagonals.
II. Its interior angles add up to 1,080°.

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

I: n(n − 3)/2 = 20 → n = 8. Sufficient.

II: (n − 2) × 180 = 1,080 → n = 8. Sufficient.

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