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

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

• A≠ C A
• B = C B
• A = B C
• A≠ B D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

• An empty set A
• Universal set B
• A singleton set C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  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

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

• 3 A
• 6 B
• 8 C
• 15 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 set (Q, .)

• Forms a group A
• Does not form a group B
• Contains no additive identity C
• Contains no additive inverse D

• n(A) A
• n(B) B
• 0 C
• 1 D

Which of the following sets is finite

• The set of natural numbers between 3 and 10 A
• The set of rational numbers between 3 and 10 B
• The set of real numbers between 0 and 1 C
• The set of rational numbers between 0 and 1 D

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

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

0 is a symbol of

• singleton set A
• Empty set B
• Equivalent set C
• Infinite set D

• 1/x A
• -x B
• 2x C
• 0.5 x D

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

• 2n A
• n² B
• n/2 C
• 2ⁿ D

• A = B A
• B = C B
• A = 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

A function whose range is just one element is called

• One-one function A
• Constant function B
• Onto function C
• Identity function 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

• 1 A
• 12 B
• 5 C
• 29 D

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• A' B
• U C
• None of these D

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

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

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

The number of different ways of describing a set is

• One A
• Two B
• Three C
• Four D

Power set of difference set N-W is

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

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

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

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

• A = C A
• A = B B
• B = C C
• None of these D

Onto function is also called

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