ECAT Mathematics Chapter 23

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

Z is a

• Infinite set A
• Finite set B
• Singleton set C
• Set of all integers 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 R is ........w.r.t subtraction

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

The multiplicative inverse of x such that x = 0 is

• -x A
• does not exist B
• 1/x C
• 0 D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} 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

• square root function A
• identity function B
• linear function C
• quadratic function D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D

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

• ±1 A
• 0 B
• 2 C
• 4 D

The number of proper subset of A ={a.b.c.d} is

• 3 A
• 6 B
• 8 C
• 15 D

• A = C A
• A = B B
• B = C 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

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

• 1 A
• 2 B
• 3 C
• 4 D

• 
  A
• A B
• A' C
• U D

The set of whole numbers is subset of

• The set on integers A
• The set of natural numbers B
• {1, 3, 5, 7, ....} C
• The set of prime numbers D

• 4 A
• 3 B
• 2 C
• 1 D