ECAT Mathematics Chapter 3 Logic

For reasoning, we have to use

• implication A
• conjunction B
• induction C
• proposition D

Any conditional and its contrapositive are

• Equilavant A
• Opposite B
• Equal C
• Not Equal D

-p is the

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

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

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

According to Aristotle, in preposition there could be

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

An implication of p and q is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• hypothesis A
• implication B
• consequent C
• antecedent 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

The symbol ∃ stand for

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

• p and q A
• p or q B
• p implies q C
• p is equivalent to q D

Conjunction of two statements p and q is denoted symbolically as

• 
  A
• 
  B
• 
  C
• 
  D

If p is false, -p is

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

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

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

To draw conclusions front premises believed to be true, this way of reasoning is called

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

If p is false, ~ p is

• true A
• not true B
• equal to p C
• conjuction 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 he true only if both its components are

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

The symbol∋ stand for

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

While witting his hooks on geometry, Euclid used

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

To draw conclusions from some expreiments or few contacts only is called

• deduction A
• implication B
• conjunction C
• induction 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

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

A statement which is already false is called

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• false A
• true B
• unknown C
• disjunction 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

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

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