Mathematics ECAT Pre Engineering Chapter 3 Logic Online Test

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

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 greater part of our knowledge, is based on

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

According to Aristotle, in preposition there could be

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

While writing his books on geometry, Euelid used

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

For reasoning, we have to use

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

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

• False A
• True B
• Disjunction C
• Unknown 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

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

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

The symbol ∃ stand for

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

An implication of p and q is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

-p is the

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

If p is false, ~ p is

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

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

• false A
• true B
• unknown C
• disjunction 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

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

Deduction is mostly used in

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

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

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

The symbol∋ stand for

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

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

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

Conjunction of two statements p and q is denoted symbolically as

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• deduction A
• induction B
• implication C
• disjunction 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

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

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