Get Advice on Live Video Call
Earn $ Cash $ with
consultations on Bissoy App

$$\eqalign{ &amp; {P_1} \to {\text{Some Spaniels are not good hunters}} \cr &amp; {{\text{P}}_2} \to \underline {{\text{All Spaniels are gentle dogs}}} \cr &amp; C \to \,\therefore \underline {{\text{No gentle dogs are good hunters}}} \cr} $$<br>This syllogism involves the fallacy of

Correct Answer: Illicit minor

Consider the 5 × 5 matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&2&3&4&5 \\ 5&1&2&3&4 \\ 4&5&1&2&3 \\ 3&4&5&1&2 \\ 2&3&4&5&1 \end{array}} \right

Fact 1: All dogs like to run.
Fact 2: Some dogs like to swim.
Fact 3: Some dogs look like their masters.

If the first three statements are facts, which of the following statements must also be a fact?
I: All dogs who like to swim look like their masters.
II: Dogs who like to swim also like to run.
III: Dogs who like to run do not look like their masters.

Some good actor are not powerful athletes. Therefore, all professional wrestlers are good actor. All professional wrestlers are powerful athlets.
The syllogism involves the fallacy of

Statements : Some dogs are rats. All rats are trees. Some trees are not dogs.

Conclusions :
I. Some trees are dogs.
II. All dogs are trees.
III. All rats are dogs.
IV. No tree is dog.

Eigen values of the matrix \[\left[ {\begin{array}{*{20}{c}} 0&1&0&0 \\ 1&0&0&0 \\ 0&0&0&{ - 2i} \\ 0&0&{2i}&0 \end{array}} \right

Let A be an m × n matrix and Ban n × m matrix. It is given that determinant ($$I$$m + AB) = determinant ($$I$$n + BA), where $$I$$k is the k × k identity matrix. Using the above property, the determinant of the matrix given below is
\[\left[ {\begin{array}{*{20}{c}} 2&1&1&1 \\ 1&2&1&1 \\ 1&1&2&1 \\ 1&1&1&2 \end{array}} \right

Given below are Assertion (A) and Reason (R), consider them and select the correct answer:
Assertion (A) A categorical syllogism commits a fallacy of four terms if more than three terms are used.
Reason (R) In a standard form of categorical syllogism, there are three and only three terms occuring twice each in the same meaning.

Consider the syllogism below and identify the fallacy involved in it.
All pets are domestic animals.
No lions are domestic animals.
Therefore, some lions are not pets.

No astrologers are scientists.
Some scientists are not magicians.
Some magicians are not astrologers.
This syllogism involves the fallacy of

Directions : In each of the following questions a statement is given, followed by two conclusions. Give answer :

Statement : Beware of dogs, our dogs do not bark, but they are trained to distinguish between genuine guests and intruders.

Assumptions :
I. Barking dogs bite rarely.
II. Our dogs could be dangerous for intruders.