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

The statement that a group can have more than one identity elements is

• True A
• False B
• Ambiguous C
• Some times true D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 1 A
• -1 B
• 0 C
• Does not exist D

If D = {a} , the P(D) =

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

The complement of set A relative to universal set U is the set

• {x / x∈ A∧ x∈ U} A
• {x / x∉ A∧ x ∈ U} B
• {x / x∈ A and x ∉ U} C
• A-U D

• A A
• A' B
• U C
• None of these D

The set (Q, .)

• Forms a group A
• Does not form a group B
• Contains no additive identity C
• Contains no additive inverse D

{x : xε Z and x < 1} is

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

A statement which is either true or false is called

• Induction A
• Deduction B
• Propositicon C
• Logic D

For any two sets A and, A ⊆ B if

• x ∈ A ⇒ x ∈ B A
• x ∉ A ⇒ x ∉ B B
• x ∈ A ⇒ x ∉ B C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

A - B = ______

• 
  A
• 
  B
• 
  C
• 
  D

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

Let A and B be two sets. If every element of A is also an element of B then

• 
  A
• 
  B
• 
  C
• 
  D

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

• Irrational numbers A
• Even numbers B
• Rational numbers C
• Whole numbers D

For any set X, X∪X is

• X A
• X' B
• Φ C
• Universal Set D

• -x A
• Infinite set B
• {-4, 4} C
• None of these D

In set builder notation the set {0, 1, 2, ............, 100} can be written as

• 
  A
• 
  B
• 
  C
• 
  D

To each element of a group there corresponds ............. inverse element

• Two A
• One B
• No C
• Three D

The set R is ........w.r.t subtraction

• Not a group A
• A group B
• No conclusion drawn C
• Non commutative group D

The set {-1,1} is closed under the binary operation of

• Addition A
• Multiplication B
• Subtraction C
• Division D

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  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

Which of the following sets in infinite

• The set of students of your class A
• The set of all schools in Pakistan B
• The set of natural numbers between 3 and 10 C
• The set of rational numbers between 3 and 10 D

{x|x∈R∧x≠x} is a

• Infinite set A
• Null set B
• Finite set C
• None of these D

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

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