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

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

• 
  A
• A B
• A' C
• U D

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

• 
  A
• 
  B
• 
  C
• 
  D

Multiplicative inverse of "1" is

• 0 A
• -1 B
• 1 C
• {0, 1} D

If x = 1/x for x ∈ R then the value of x is

• ±1 A
• 0 B
• 2 C
• 4 D

(A∪B)∪C= --------------------------

• A∩B(B∪C) A
• A∪(B∪C) B
• A∪(B∩C) C
• None of these D

• A is proper subset of B A
• A is an improper subset of B B
• A is equivalent to B C
• B is subset of A 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 contra positive of p → q is

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

A function whose range is just one element is called

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

If A = {x/x is a positive integer and 4≤x<23}, then A=

• {1,2,3,4,5,6,7} A
• {4,5,6...........22} B
• {1,2,3,.........23} C
• {1,2,3,4,5} 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

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

• 4 A
• 3 B
• 2 C
• 1 D

If A=B, then

• A⊂B and B⊂A A
• A⊆B and B⊈A B
• A⊆B and B⊆A C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

{0} is a

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

The function {f(x,y)|y = ax2 +bx +c} is

• One-one function A
• Constant function B
• Onto function C
• Quadratic function D

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D

• 1 A
• 12 B
• 5 C
• 29 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 set of natural is a semi group w.r.t

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

• 
  A
• 
  B
• 
  C
• 
  D

Z is a group under

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

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

The set {1, -1, i, -i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

• 5 A
• {-3,-2,-1,0,1,2,3,4,5,6} B
• 8 C
• 9 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 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