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Conditional statements and converse - class-VIII

conditional statements and converse

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Questions

Question 1 Multiple Choice (Single Answer)

What is true about the statement "If two angles are right angles the angles have equal measure" and its converse "If two angles have equal measure then the two angles are right angles"?

  1. The statement is true but its converse is false
  2. The statement is false but its converse is true
  3. Both the statement and its converse are false
  4. Both the statement and its converse are true
Question 2 Multiple Choice (Single Answer)

The converse of "if $x\in A\cap B$ then $x\in A$ and $x\in B$", is

  1. If $x\in A$ and $x\in B$, then $x\in A\cap B$.
  2. If $x\not\in A\cap B$, then $x\not\in A$ or $x\not\in B$.
  3. If $x\not\in A$ or $x\not\in B$, then $x\not\in A\cap B$.
  4. If $x\not\in A$ or $x\not\in B$, then $x\in A\cap B$.
Question 3 Multiple Choice (Single Answer)

The converse of "If in a triangle $ABC, AB=AC$, then $\angle B=\angle C$", is

  1. lf in a triangle $ABC, \angle B=\angle C$, then $AB=AC$.
  2. lf in a triangle$ABC, AB\neq AC$, then $\angle B\neq\angle C$.
  3. lf in a triangle $ABC, \angle B\neq\angle C$, then $AB\neq AC$.
  4. lf in a triangle $ABC, \angle B\neq\angle C$, then $AB=AC$ .
Question 4 Multiple Choice (Single Answer)

Which of the following is the converse of the statement: "If x>4 then x+2>5"?

  1. If x+2<5 then x<4
  2. If x is not greater than 4 then x+2 is not greater than 5
  3. If x+2>5 then x>4
  4. If x+2 is not greater than 5 then x is not greater than 4
Question 5 Multiple Choice (Single Answer)

The converse of "If $x$ has courage, then $x$ will win", is

  1. If $x$ wins, then $x$ has courage.
  2. If $x$ has no courage, then $x$ will not win.
  3. If $x$ will not win, then $x$ has no courage.
  4. If $x$ will not win, then $x$ has courage.
Question 6 Multiple Choice (Single Answer)

The converse of "if in a triangle $ABC, AB>AC$, then $\angle C=\angle B$", is

  1. lf in a triangle $ABC, \angle C=\angle B$, then $AB>AC$.
  2. lf in a triangle$ABC, AB\not\simeq AC$, then $\angle C\not\simeq \angle B$.
  3. lf in a triangle $ABC, \angle C\not\simeq \angle B$, then $ AB\not\simeq AC$.
  4. lf in a triangle $ABC, \angle C\not\simeq \angle B$, then $AB>AC$.
Question 7 Multiple Choice (Single Answer)

Which of the following statements is the converse of "If the moon is full, then the vampires are prowling."?

  1. If the vampires are prowling, then the moon is full.
  2. If the moon is not full, then the vampires are prowling
  3. If the vampires are not prowling, then the moon is not full.
  4. None of these
Question 8 Multiple Choice (Single Answer)

Which of the following statements is the converse of "You cannot skateboard if you do not have a sense of balance."?

  1. If you cannot skateboard, then you do not have a sense of balance.
  2. If you do not have a sense of balance, then you cannot skateboard.
  3. If you skateboard, then you have a sense of balance.
  4. None of these
Question 9 Multiple Choice (Single Answer)

Which of the following statements is the contrapositive of the statement, You win the game if you know the rules but are not overconfident.

  1. If you lose the game then you dont know the rules or you are overconfident.
  2. A sufficient condition that you win the game is that you know the rules or you are not overconfident.
  3. If you dont know the rules or are overconfident you lose the game
  4. If you know the rules and are overconfident then you win the game.
Question 10 Multiple Choice (Single Answer)

The converse of $p \rightarrow (q \rightarrow r)$ is

  1. $(q \wedge \sim r) \vee p$
  2. $(\sim q \vee r) \vee p$
  3. $(q \wedge \sim r) \wedge \sim p$
  4. $(q \wedge \sim r) \wedge p$
Question 11 Multiple Choice (Single Answer)

Which of the following statements is the contrapositive of "If a polygon has four sides, then it is called a quadrilateral."?

  1. If a polygon is called a quadrilateral, then it has four sides.
  2. If a polygon is not called a quadrilateral, then it does not have four sides
  3. If a polygon does not have four sides, then it is not called a quadrilateral.
  4. None of these
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