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

The statements of the form "If p then q" are called

• hypothesis A
• conditional B
• disjunction C
• conjunction D

A statement which is already false is called

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

If p is false, ~ p is

• true A
• not true B
• equal to p C
• conjuction D

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

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

• Deduction A
• Induction B
• Conjuction C
• disjunction 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

If p is false, -p is

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

• hypothesis A
• implication B
• consequent C
• conditional 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 and q A
• p or q B
• p implies q C
• p is equivalent to q D

The symbol ∃ stand for

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

Any conditional and its contrapositive are

• Equilavant A
• Opposite B
• Equal C
• Not Equal 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
• conjunction of p D

Disjunction of p and q is

• p or q A
• p and q B
• p if q C
• p implies q D

According to Aristotle, in proposition there could be

• one possibilities A
• two possibilities B
• three possibilities C
• seven possibilities D

Basic-principles of deductive logic were laid down by:

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

~ p is the

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

According to Aristotle, in preposition there could be

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

The greater part of our knowledge, is based on

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

Conjunction of two statements p and q is denoted symbolically as

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

An implication of p and q is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

A statement which is already false is called

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

If both p and q are false, then the disjunction of p and q is

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

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

• False A
• Equivalent B
• Equal C
• True D

The symbol∋ stand for

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

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

• False A
• True B
• Disjunction C
• Unknown D

Deduction is mostly used in

• elementary mathematics A
• natural science B
• higher mathematics C
• medicine D