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

The set of months in a year beginning with S.

• {September, October, November} A
• Singleton set B
• Null set C
• Empty set D

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

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

Z is a group under

• Subtraction A
• Multiplication B
• Addition C
• None of these 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

The set {Z\{0}} is group w.r.t

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

If A∩B=B, then n(A∩B) is equal to

• n(a) A
• n(a)+n(c) B
• n(c) C
• None of these D

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

If p and q are two statements then their biconditional 'p if q' is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The set {x|x∈N∧x-4=0} in tabular form is

• {-4} A
• {0} B
• {} C
• None of these D

What is the number of elements of the power set of { }

• 0 A
• 1 B
• 2 C
• 3 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

{0} is a

• Empty set A
• Singleton set B
• Zero set C
• Null Set D

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

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

The set {1, -1, 1, -1}, form a group under

• Addition A
• Multiplication B
• Subtraction C
• None 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

• 
  A
• 
  B
• 
  C
• 
  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

The set (Z, +) forms a group

• Forms a group w.r.t. addition A
• Non commutative group w.r.t. multiplication B
• Forms a group w.r.t multiplication C
• Doesn't form a group D

A function in which the second elements of the order pairs are distinct is called

• Onto function A
• One-one function B
• Identity function C
• Inverse function D

Which symbolic notation represent unary operation ?

• - A
• ∨ B
• ∧ C
• ⇔ D

Φ set is the _______ of all sets

• Subset A
• Union B
• Universal C
• Intersection D

• a-b=ab A
• ab=a B
• a+b=ab C
• 
  D

The set (Q, .)

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

If C={p/p < 18, p is a prime number}, then C =

• {2,3,4,.........17} A
• {2,4,6,8................16} B
• {1,3,5,7,9,11,13,15,17} C
• {3,6,9,12,15} D

(A ∩ B)c =

• A∩ B A
• (A ∪ B)c B
• Ac∪Bc C
• Φ D

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

• 
  A
• 
  B
• 
  C
• 
  D

• Addition A
• Subtraction B
• Multiplication C
• None of these D

Power set of X i.e P(X) _______ under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite D

If p and q are two statements then their conjunction is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D