ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 3 (Logic)

Basic-principles of deductive logic were laid down by:

• Euelid A
• Leibniz B
• Aristotle C
• Newton D

The disjunction of two statements p and q, is denoted symbolically as

• 
  A
• 
  B
• 
  C
• 
  D

~ p is the

• implication of p A
• disjunction of p B
• negation of p C
• conjuction of p D

While writing his books on geometry, Euelid used

• Inductive method A
• Deductive method B
• Implication C
• proposition D

10 is a even number or 0 is a natural number, then truth value of this disjunction is

• False A
• True B
• Not discussed C
• negation of first D

We often consult doctors or lawyers on the basis of their good

• personality A
• behaviour B
• reputation C
• good dealing D

The symbol∋ stand for

• Such that A
• There exist B
• For all C
• Belongs to D

Logic in which there is scope of third or fourth possibility is called.

• non-Aristotlian logic A
• Aristotlian logic B
• Postulates C
• induction logic D

A daclarative statement which may be true or false but not both is called a

• hypothesis A
• proposition B
• implication C
• conjuction D

• hypothesis A
• implication B
• consequent C
• antecedent D

The conjunction of 3>5, and 5<9, is

• false A
• true B
• unknown C
• disjunction D

According to Aristotle, in preposition there could be

• One possibility A
• Two possibility B
• three possibility C
• Seven possibilites D

A statement which is already false is called

• Tautology A
• Contrapsitive B
• Absurdity C
• Universal quantifiers D

While witting his hooks on geometry, Euclid used

• inductive method A
• deductive method B
• implication C
• proposition D

A statement which is already false is called

• Tautology A
• Contrapsitive B
• Absurdity C
• Universal quantifiers D

• false A
• true B
• not valid C
• undefine D

Any two propositions which is combined by the word "and" and form a compound proposition is called

• conditional of the original proposition A
• consequent of the original proposition B
• disjunction of the original proposition C
• conjunction of the original propositoin D

If p is false, -p is

• True A
• Not true B
• Equal to p C
• Conjunction D

The conditional statement "If p then q" is logically equivalent to the statement.

• Not p or Not q A
• Not p and Not q B
• Not p or q C
• p or q D

All men are mortal. We are men, therefore, we are also mortal. This is a useful example of

• deduction A
• induction B
• conjunction C
• disjunction D

-p is the

• Implication of p A
• disjunction of p B
• negation of p C
• conjunction of p D

Conjunction of two statements p and q is denoted symbolically as

• 
  A
• 
  B
• 
  C
• 
  D

Deductive logic in which every statement is regarded as true or false and there is no other possibility is called:

• Deductive logic A
• Inductive logic B
• Aristotlian logic C
• Non-Aristotlian logic D

Deductive logic in which every statement is regarded as true or false and there is no other possibility is called

• deductive logic A
• inductive logic B
• Aristolian logic C
• non-Aristolian logic D

The symbol ∃ stand for

• Such that A
• This implies that B
• For all C
• There exist D

To draw conclusions from some experiments or few contacts only is called:

• Deduction A
• Implication B
• Conjunction C
• Induction D

Which of the following statement, is true

• Lahore is in Punjab and 5>7 A
• Lahore is the capital of Pakistan and 3<23 B
• Lahore is capital of Sindh and 2+2 = 7 C
• Lahore is the capital of Sindh or 2+2=4 D

The converse and Inverse are

• Equivalent to each other A
• Opposite to each other B
• Equal to each other C
• Not Equal to each other D

Which of the following statement, is ture

• Lahore is in Punjab and 5>7 A
• Lahore is the capital of Pakistan and 3<23 B
• Lahore is capital of Sindh and 2+2=7 C
• Lahore is the capital of Sindh or 2+2 = 4 D

A conjunction is considered to he true only if both its components are

• false A
• equilvalent B
• equal C
• true D