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

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

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

The symbol∋ stand for

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

~ p is the

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

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

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

While witting his hooks on geometry, Euclid 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

If p is false, ~ p is

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

-p is the

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

A statement which is already false is called

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

• hypothesis A
• implication B
• consequent C
• conditional 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

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

An implication of p and q is denoted by

• 
  A
• 
  B
• 
  C
• 
  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

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

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

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

The greater part of our knowledge,is based on

• Deduction A
• Induction B
• Conjunction C
• Disjunction 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

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

• deduction A
• induction B
• implication C
• disjunction 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

For reasoning, we have to use

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

• conclusion A
• consequent B
• hypothesis C
• conditional 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 statement which is already false is called

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

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

• Hypothesis A
• Proposition B
• implication C
• conjunction D

The greater part of our knowledge, is based on

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