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

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

• 
  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

The symbol ∃ stand for

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

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

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

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

Disjunction of p and q is

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

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

• hypothesis A
• conditional B
• disjunction C
• conjunction 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

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

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

If p is false, -p is

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

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

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

Conjunction of two statements p and q is denoted symbolically as

• 
  A
• 
  B
• 
  C
• 
  D

For reasoning, we have to use

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

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

Basic principles of deductive logic were laid down by

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

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

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

If p is false, ~ p is

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

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

~ p is the

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

While witting his hooks on geometry, Euclid used

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

Any conditional and its contrapositive are

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

The symbol∋ stand for

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

According to Aristotle, in preposition there could be

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