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

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

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

• An empty set A
• Universal set B
• A singleton set C
• None of these 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 z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

• 36 +(-32)i A
• -36+32i B
• 6+(-11)i C
• 0, +(-12)i 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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of x such that x = 0 is

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

• 1/x A
• -x B
• 2x C
• 0.5 x D

The set { {a,b} } is

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

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

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

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

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

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

If B-A≠φ , then n(B-A) is equal to

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

• 
  A
• 
  B
• 
  C
• 
  D

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• None of these D

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

• -a A
• a + 1 B
• -2 -a C
• None of these D

The set of even prime numbers is

• (2,4,6,8,10} A
• {2,4,6,8,10,12} B
• {1,3,5,7,9} C
• {2} D

If there is one-one correspondence between A and B, then we write.

• A = B A
• A⊆ B B
• A⊇ B C
• A ∼ B D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

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

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

If we have a statement "if p then q" then q is called

• Conclusion A
• Implication B
• Unknown C
• Hypothesis D