Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test

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

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

Φ set is the _______ of all sets

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

A = B if

• A is equivalent to B D

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

If A and B are two sets then any subset R of A x B is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A 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

Onto function is also called

• Binjective function A
• Injective function B
• Surjechive function C
• None of these D

The multiplicative inverse of x such that x = 0 is

• -x A
• Does not exist B
• 1/x C
• ±1 D

Which of the following is the subset of all sets?

The set of integer is

• Finite group A
• A group w.r.t addition B
• A group w.r.t multiplication C
• Not a group D

The set of the first elements of the ordered pairs forming a relation is called its

• Function on B A
• Range B
• Domain C
• A into B D

The set { {a, b} } is

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

Multiplicative inverse of "1" is

• +- 1 A
• 0 B
• 1 C
• None of these D

For any set B,B∪B' is

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

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

• A-B A
• A∩B B
• B-A C
• A∪B D

{1, 2, 3, 4,.....} is set of ______

• Natural numbers A
• Whole numbers B
• Integers C
• Rational numbers D

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

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

• ±1 A
• 0 B
• 2 C
• 4 D

If P is a proposition then its negative is denoted by

The identity element of a set X with respect to intersection in P(x) is

• X A
• Does not exist B
• ∅ C
• None of these D

• A A
• B B
• A'B' C
• B'A D

A conjunction of two statement p and q is true only if

• p is true A
• q is true B
• Both p and q are true C
• both p and q are false D

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

• A A
• ∅ B
• Ac C
• U D

• 4 A
• 3 B
• 2 C
• 1 D

A statement which is either true or false is called

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

• A B
• A' C
• U D