ECAT Mathematics Chapter 3 Logic

According to Aristotle, in proposition there could be

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

• hypothesis A
• implication B
• consequent C
• conditional 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

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

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

For reasoning, we have to use

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

A statement which is already false is called

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

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

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

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

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

While writing his books on geometry, Euelid used

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

Disjunction of p and q is

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

Basic principles of deductive logic were laid down by

• Euclid A
• Leibniz B
• Newton C
• Aristotle 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

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

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

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

The symbol ∃ stand for

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

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

• false A
• true B
• equal C
• equivalent 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

Basic-principles of deductive logic were laid down by:

• Euelid A
• Leibniz B
• Aristotle C
• Newton 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

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

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

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

If p is false, ~ p is

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