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CBSE Maths · Class 9

Chapter 9: Propositions and their Converses

Name: ________________________
Date: ______________
Marks: ____ / 6

What is a statement, when is it true, and how does a converse behave differently?

Questions

  1. Is "2\sqrt{2} is irrational" a proposition?
  2. Write the converse of "If ABCDABCD is a square, then it is a rhombus."
  3. Truth value of the converse in Q2?
  4. Contrapositive of "If nn is a multiple of 6, then nn is even."
  5. Which is TRUE: original or converse of "If x=2x = 2, then x2=4x^2 = 4"?
  6. Symbolic form of "pp AND (NOT qq)".

Extra Practice (Optional)

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Answer Key (For Teachers)

  1. Answer: Yes
    Working: Definitely true.
  2. Answer: If ABCDABCD is a rhombus, then it is a square.
    Working: Swap.
  3. Answer: False
    Working: Rhombus need not have right angles.
  4. Answer: If nn is odd, then nn is not a multiple of 6.
    Working: Negate both, swap.
  5. Answer: Only the original.
    Working: Original — converse fails at x=−2x=-2.
  6. Answer: p∧¬qp \wedge \neg q
    Working: Direct.
Gyaan Maths · CBSE Class 9 · Chapter 9
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026