ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 2 (Set Function and Groups)

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

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

{0} is a

• Empty set A
• Singleton set B
• Zero set C
• Null Set 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

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

The set {1, -1, i, -i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

• 
  A
• 
  B
• 
  C
• none of these D

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 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

Every set is an improper subset of

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

• a-b=ab A
• ab=a B
• a+b=ab C
• 
  D

• 
  A
• 
  B
• 
  C
• None of these D

The graph of a linear function is

• a circle A
• triangle B
• a straight line C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• -x A
• Infinite set B
• {-4, 4} C
• None of these D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D

• 
  A
• 
  B
• 
  C
• 
  D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• +-1 C
• Does not exist D

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

• 
  A
• 
  B
• 
  C
• 
  D

• square root function A
• identity function B
• linear function C
• quadratic function D

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

For any set B,B∪B' is

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

What is the number of elements of the power set of { }

• 0 A
• 1 B
• 2 C
• 3 D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

• 
  A
• 
  B
• 
  C
• 
  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

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  D

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

• 1 A
• -1 B
• 0 C
• Does not exist 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
• -1-a C
• None of these D