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

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

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

Power set of difference set N-W is

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

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 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

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

• 45 A
• 30 B
• 25 C
• 50 D

The negation of a number

• a relation A
• a function B
• unary operation C
• binary operation 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

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

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

• 
  A
• 
  B
• 
  C
• None of these D

• Evert element of A is in B A
• Every element of B is in A B
• Every element of A is in B' C
• Every element of A is in A D

• 1 A
• 12 B
• 5 C
• 29 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

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

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

The set which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  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

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

• 1 A
• 12 B
• 5 C
• 29 D

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• A' B
• U C
• A A' D

The set of the first elements of the orders pairs forming a relations is called its

• Relation in B A
• Range B
• Domain C
• Relation in A D

• 
  A
• 
  B
• 
  C
• 
  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

Which of the following is the definition of singleton

• The objects in a set A
• A set having no element B
• A set having no subset C
• None of these D

If n(A) = n then n(P(A)) is

• 2n A
• n² B
• n/2 C
• 2ⁿ D

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

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

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D

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

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

{x : xε Z and x < 1} is

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