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

Φ set is the _______ of all sets

• Subset A
• Union B
• Universal C
• Intersection D

• a-b=ab A
• ab=a B
• a+b=ab C
• 
  D

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

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

• a constant function A
• linear function B
• quadratic funtion C
• none of these D

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these 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

• A A
• A' B
• U C
• None of these D

Multiplicative inverse of "1" is

• 0 A
• -1 B
• 1 C
• {0, 1} D

The set of the first elements of the ordered pairs forming a relation is called its

• Function on B A
• Range B
• Domain C
• A into B D

A statement which is either true or false is called

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1/x A
• -x B
• 2x C
• 0.5 x D

Every set is an improper subset of

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

• 
  A
• 
  B
• 
  C
• 
  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

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

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

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

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

• 1-1 and onto A
• Bijective B
• 1-1 and into C
• None of these D

• A A
• A' B
• U C
• U' D

• 
  A
• 
  B
• 
  C
• None of these D

The set of whole numbers is subset of

• The set on integers A
• The set of natural numbers B
• {1, 3, 5, 7, ....} C
• The set of prime numbers D

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

A monoid (G, *) is said to be group if

• have identity element A
• is commutative B
• have inverse of each element C
• None of these D

0 is a symbol of

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

• 1 A
• 12 B
• 5 C
• 29 D