Class 6 · Olympiad Prep

Statement I: The 6th triangular number is 21, which is also a Virahānka number. Statement II: Every hexagonal number is also a perfect square.

  • A.Statement I is true, Statement II is false ✓
  • B.Statement I is false, Statement II is true
  • C.Both are true
  • D.Both are false
Explanation: The 6th triangular number is 21, and 21 also appears in the Virahānka sequence (1,2,3,5,8,13,21,...) — so I is true. But hexagonal numbers like 7, 19, and 37 aren't perfect squares — so II is false.

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