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

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• A finite set A
• An infinite set B
• An empty set C
• None of these D

• A onto B A
• both a & c B
• A into B C
• none of these D

The set {-1, 1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

• A A
• A' B
• U C
• A A' D

The set { {a, b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

The number of subsets of B = {1,2,3,4,5}

• 10 A
• 32 B
• 16 C
• 5 D

• 
  A
• 
  B
• 
  C
• 
  D

For a set A, A∪Ac= ---------------------

• A A
• ∅ B
• Ac C
• U 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

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 D

A = B iff

• All elements of A also the elements of B A
• A and B should be singleton B
• A and B have the same number of elements C
• If both have the same element D

Power set of difference set N-W is

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

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

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

If B⊆ A, then complement of B in A is = -----------------------

• A-B A
• A∩B B
• B-A C
• A∪B 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 contra positive of p → q is

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

For any set B,B∪B' is

• Is set B A
• Set B' B
• Universal set C

The set (Q, .)

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

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

• 
  A
• 
  B
• 
  C
• 
  D

If S = {3,6,9,12.......}, then

• S = Four multiples of 3 A
• S = Set of even numbers B
• S = Set of prime numbers C
• S = All multiples of 3 D

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

• 
  A
• 
  B
• 
  C
• 
  D

For any set X, X∪X is

• X A
• X' B
• Φ C
• Universal Set D

Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =

• 3 A
• 1 B
• 2 C
• 4 D

• 1/x A
• -x B
• 2x C
• 0.5 x D

A = B if

• 
  A
• 
  B
• 
  C
• A is equivalent to B D

Group of none-singular matrices under multiplication is

• None-Abelian group A
• Semi group B
• Abelian group C
• None of these D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D