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

The set R is ........w.r.t subtraction

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

Multiplicative inverse of "1" is

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

The set of natural numbers is a subset of

• {1, 2, 3, .... 100} A
• The set of whole numbers B
• {2, 4, 6, 8, .....} C
• None of these D

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication D

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

• 2,2,2 A
• 3,3,3 B
• 2,2,4 C
• 2,3,4 D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

The geometrical representation of a linear function is

• Circle A
• Parabola B
• Straight lie C
• None of these D

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² 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

• A onto B A
• both a & c B
• A into B C
• none of these D

If A⊆ B, and B is a finite set, then

• n (a) < n(B) A
• n(B)<(A) B
• n(A)≤ n (B) C
• n(A)≥ n(B) D

The set {Z\ {0} } is group w.r.t

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

• 
  A
• 
  B
• 
  C
• 
  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

The set of months in a year beginning with S.

• {September, October, November} A
• Singleton set B
• Null set C
• Empty set D

Additive inverse of -a -b is

• a 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 statement which is either true or false is called

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

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• B B
• A' C
• None of these D

The set of complex numbers forms a group under the binary operation of

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

• 
  A
• 
  B
• 
  C
• 
  D

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

The set (Z, +) forms a group

• Forms a group w.r.t addition A
• Forms a group w.r.t multiplication B
• Non commutative group w.r.t multiplication C
• Doesn't form a group D

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

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

• 4 A
• 3 B
• 2 C
• 1 D

Identity w.r.t intersection in a power set of any set is

• ∅ A
• Set itself B
• Singleton set C
• {0} D

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

• 1 A
• -1 B
• ±1 C
• 0 D
• Does not exist E

Every set is an improper subset of

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