ECAT Pre General Science Mathematics Chapter 2 Set, Functions and Groups Online Test

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

• 40 A
• 30 B
• 50 C
• 20 D

The negation of given number is a

• Binary operation A
• Unary operation B
• Relation C
• None of these D

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

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

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 D

• 
  A
• 
  B
• 
  C
• None of these D

The multiplicative inverse of x such that x = 0 is

• -x A
• Does not exist B
• 1/x C
• ±1 D

For any set B,B∪B' is

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

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  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

The set of even prime numbers is

• (2,4,6,8,10} A
• {2,4,6,8,10,12} B
• {1,3,5,7,9} C
• {2} D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

If the intersection of two sets is non-empty, but either is a subset of other are called

• Disjoint sets A
• Over lapping B
• Equal sets C
• None of these D

Group of none-singular matrices under multiplication is

• None-Abelian group A
• Semi group B
• Abelian group C
• None of these D

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

Z is a group under

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

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

Which symbolic notation represent unary operation ?

• - A
• ∨ B
• ∧ C
• ⇔ D

To each element of a group there corresponds ............. inverse element

• Two A
• One B
• No C
• Three D

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

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

• 1 A
• -1 B
• 0 C
• Does not exist D

The set of natural is a semi group w.r.t

• Addition A
• Division B
• Subtraction C
• None of these 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