Tag: conditional statements and converse

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Questions Related to conditional statements and converse

Multiple choice english basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

Complete the sentence with the most suitable option:
A: Robert is unhappy because he can't find his passport.
B: If only he __________________.

  1. Could have found it

  2. Had been able to find

  3. Could find it

  4. Had found it
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The speaker is wishing for a present ability. We use the simple past 'could' to express a desire for a present ability.

Multiple choice english basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

Complete the sentence with the most suitable option:
A: Mary is sorry that she bought such an expensive dress.
B: If only she ________________ such an expensive dress.

  1. Didn't but

  2. Wouldn't have bought

  3. Hadn't bought

  4. Could have bought
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The purchase happened in the past. To express regret about a past action, we use the past perfect tense.

Multiple choice english basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

Identify the conditional phrase in the following sentence from the options given below:
If the police had arrived a bit early, the thief would have easily been caught.

  1. Future Result

  2. Imaginative Counterfactual

  3. Factual Conditions

  4. Imaginative Hypothetical
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Since the situation posited is imaginative and expresses a speculative condition, Option B is correct. The rest of the options do not present an unlikely condition, hence incorrect. 

Multiple choice english basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

Identify the conditional phrase in the following sentence from the options given below:
If you give the details by today evening, the payment would be credited tomorrow.

  1. Imaginative Counterfactual

  2. Factual Timeless

  3. Future Result

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Since the situation posited and its consequences are to happen in future, Option C is correct. The rest of the options do not present a futurist condition, hence incorrect. 

Multiple choice business maths basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

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
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Two right angles are always equal, each measuring 90 degrees.

However,  two equal angles can be anything not necessarily equal to 90 degrees always.
Hence $A$ is correct.

Multiple choice business maths basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

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 $x\in A\cap B$.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The converse of "If P then Q" is "If Q then P"
Hence, Option A

Multiple choice business maths basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

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 $AB=AC$ .
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Take $p:AB=AC$

and $q:\angle B=\angle C$
So the given statement is symbolically represented as $p\rightarrow q$
Now by definition, Converse of a conditional statement $p\rightarrow q$ is $q\rightarrow p$
So $q\rightarrow p$ is given by 
"If in a triangle $ABC, \angle B=\angle C,$ then $AB=AC.$"

Multiple choice business maths basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

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
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
Converse of  "If  $A$  then  $B$"   is   "If  $B$  then  $A$".    Hence,
Converse of  "If  $x>4$  then  $x+2>5$"  will be  "If  $x+2>5$   then  $x>4$"
So, $C$ is correct.
Multiple choice business maths basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

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.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Take $p:x$ has courage

and $q:x$ will win
So the given conjugation is $p\Rightarrow q$

Now we need to find converse of this.
Be definition, Converse will be $q\Rightarrow p$
This is symbolic for "If $x$ wins then $x$ has courage

Multiple choice business maths basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

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 $AB>AC$.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Take $p:AB>AC$

and $q: \angle C=\angle B$
So the given statement is symbolically represented as $p\rightarrow q$
Now by definition, Converse of a conditional statement $p\rightarrow q$ is $q\rightarrow p$
Thus $q\rightarrow p$ is given by
"If in a $\triangle ABC, \angle C=\angle B$ then $AB>AC$."