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What is the integer n? Statement I: n is strictly between 20 and 30. Statement II: n leaves a remainder of 2 when divided by 7. Which option correctly describes the information?
  1. Only the pair is sufficient.
  2. Only statement I is sufficient.
  3. Only statement II is sufficient.
  4. None of these
Explanation

Statement I alone is insufficient: n could be any integer from 21 to 29.

Statement II alone is insufficient: Many integers leave a remainder of 2 when divided by 7, such as 2, 9, 16, and 23.

Both statements together are sufficient: The only integer between 20 and 30 that leaves a remainder of 2 when divided by 7 is 23, because 23 = 7 × 3 + 2.


Last verified on 20-10-2026

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