ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 2

If a = {2m/2m < 9 ,m€ p} , the (n A) =

• {2,3,4,5,6,7,8} A
• {2,4,6,8............16} B
• { 4, 6} C
• {2,3,5,7} D

• A = C A
• A = B B
• B = C C
• None of these D

The set X is

• Proper Subset of X A
• Not A subset of X B
• Improper Subset of X C
• None of these D

• 
  A
• 
  B
• 
  C
• None of these D

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

• 2, 2, 2 A
• 3, 3, 3 B
• 2, 2, 4 C
• 2, 3, 4 D

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication D

The negation of given number is a

• Binary operation A
• Unary operation B
• Relation C
• None of these D

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects D

The contra positive of p → q is

• q → p A
• ~q→~q B
• ~p→~q C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• 0 C
• Does not exist D

The multiplicative inverse of x such that x = 0 is

• -x A
• Does not exist B
• 1/x C
• ±1 D

The set Q

• Forms a group under addition A
• Does not form a group B
• Contains no additive indentity C
• Contains no additive inverse D

• An empty set A
• Universal set B
• A singleton set C
• None of these D

If A and B are two sets then intersection of A and B is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

If A is a set then any subset R of A x A is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

• 
  A
• 
  B
• 
  C
• 
  D

The set of rational numbers is subset of

• The set of natural numbers A
• The set of real numbers B
• The set of integers C
• The set of whole numbers D

• 
  A
• 
  B
• 
  C
• 
  D

Power set of difference set N-W is

• Empty set A
• Infinite set B
• Singleton set C
• {0,∅} D

The set of natural numbers is a subset of

• {1, 2, 3, .... 100} A
• The set of whole numbers B
• {2, 4, 6, 8, .....} C
• None of these D

• A A
• A' B
• U C
• U' D

• 
  A
• 
  B
• 
  C
• 
  D

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

• -a A
• a + 1 B
• -2 -a C
• None of these D

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

The logic in which every statement is regarded as true or false and no other possibility is called

• Aristotelian login A
• Inductive logic B
• Non-Aristotelian logic C
• None of these D

• Biconditional A
• Implication B
• Antecedent C
• Hypothesis D

The many subset can be formed from the set {a,b,c,d}

• 8 A
• 4 B
• 12 C
• 16 D

• Singleton set A
• A set with two points B
• Empty set C
• None of these D