Question: If every element which belongs to A also belongs to B and if every element which belongs to B also belongs to A then the sets A and B are
Answer:A: equal
Question: Let A 1 2 3 4 and B 3 1 4 2 then
Answer:A: AB
Question: Let Ex x23x 2 F21 and G 122 1 Which of the following statement is true
Answer:A: EFG
Question: A set which contains no elements is called
Answer:A: a null set
Question: The symbol denotes
Answer:A: a void set
Question: Let A be the set of people in the world who are older than 200 years According to known statistics A is
Answer:A: a null set
Question: Let B x x 4 x is odd Then B is
Answer:A: a null set
Question: Which statement is valid
Answer:A: the object of a set are sets themselves
Question: In any application of the theory of sets all the sets under investigation will likely be subsets of a fixed set We call this set
Answer:A: universe of discourse
Question: Mortgage payments are
Answer:A: annuity immediate
Question: The set of real numbers and its properties is called the
Answer:A: real number system
Question: There is a natural way to pair off the points on the line and the real numbers that is each point will represent a unique real number and each real number will be represented by a unique point We refer to this line as the
Answer:A: real line
Question: are not closed under the operation of division
Answer:A: Integers
Question: The are those real numbers which can be expressed as the ratio of two integers
Answer:A: rational numbers
Question: Examples of irrational numbers are
Answer:A: sqrtpi sqrt2 sqrt3
Question: The real number a is less than the real number b if
Answer:A: b a is a positive number
Question: Geometrically if a b then the point a on the real line lies
Answer:A: to the left of the point b
Question: Given A1 x 2 x 5 A2 x 2 leq x leq 5 A3 x 2 x leq 5 A4 x2 leq x 5 Which of the following statements is true
Answer:A: A1 is an open interval A2 is a closed interval A3 and A4 are open closed and closed open
Question: Set of the form A xx 1 B x x 2 C x x 3 are called
Answer:A: infinite intervals
Question: Set A is bounded if there exists a positive number M such that
Answer:A: xleq M
Question: Let fArightarrow B which reads f is a function of A onto B The set A and B are called the
Answer:A: domain and codomain
Question: Let f assign to each real number its square that is for every real number x let fx x2 The domain and co domain of f are
Answer:A: both the real numbers
Question: If the domain and co domain of a function are both the same set then f is frequently called
Answer:A: an operator or transformation on A
Question: If f and g are functions defined on the same domain D and if f a g a for every ain D then the functions f and g are
Answer:A: equal
Question: Let f x x2 where x is a real number Let gx x2 where x is a complex number Which of the following statements is true
Answer:A: the function f is not equal to g since they have different domains
Question: Let f map A into B Then f is called a if different elements in B are assigned to different elements in A
Answer:A: injective functions
Question: are essentially a series or fixed payments required from you or paid to you at a specified frequency over the course of a fixed time period
Answer:A: Annuities
Question: are primarily used as a means of securing a steady cash flow for an individual during their retirement years
Answer:A: Annuities
Question: Straight bonds usually pay coupon payments at the end of every six months until the bonds maturity date is an example of
Answer:A: ordinary simple interest
Question: Payments that are required at the beginning of each period denotes
Answer:A: annuity due
Question: Let E 2 4 6 What is the compliment of the set E
Answer:odd numbers
Question: The family of all the subsets of any set S is called
Answer:the power set of S
Question: Let S a b c d and T f b d g Then the intersection of set S and T is
Answer:b d
Question: The sets A B Acap B and B A are mutually disjoint implies
Answer:the intersection of any two is the null set
Question: The are those real numbers which can be expressed as the ratio of two integers
Answer:rational numbers
Question: Let M ab Then 2M is
Answer:a b a b
Question: Let P be the set of positive real numbers and let Q be the set of negative real numbers The union of P and Q consist of all the real numbers except
Answer:zero
Question: The real number a is less than the real number b if
Answer:b a is a positive number
Question: is the set of elements which are common to A and B that is those elements which belong to A and which belong to B
Answer:The intersection of sets A and B
Question: Let Px be any statement and let A be any set Then there exists a set Baain AP a is true The statement represents the
Answer:axiom of specification
Question: Let M ab Then 2M isrn
Answer:D: a b a b
Question: Let the function fRightarrow R be defined by the formula fxx2 Then f
Answer:not a one one function
Question: Set A is bounded if there exists a positive number M such that
Answer:xleq M
Question: Let fxx2 where x is a real number Let gxx2 where x is a complex number Which of the statement is true
Answer:the function f is not equal to g since they have different domains
Question: If f and g are functions defined on the same domain D and if f a g a for every ain D then the functions f and g are
Answer:equal
Question: Let the function fRightarrow R be defined by the formula fxx2 Then the range of f consists of
Answer:the positive real numbers and zero
Question: Let fAightarrow B which reads f is a function of A onto B The set A and B are called the
Answer:domain and codomain
Question: Let f assign to each real number its square that is for every real number x let fxx2 The domain and co domain of f are
Answer:both the real numbers
Question: If the domain and co domain of a function are both the same set then f is frequently called
Answer:an operator or transformation on A
Question: Let f map A into B Then f is called a if different elements in B are assigned to different elements in A
Answer:injective functions
Question: f fArightarrow B is if fa fa implies aa or equivalently aaimplies fafa
Answer:injective functions
Question: Let fArightarrow B which reads f is a function of A onto B The set A and B are called the
Answer:domain and codomain
Question: Let the function fRrightarrow R be defined by the formula fxx2 Then f
Answer:not a one one function
Question: Let the function fRrightarrow R be defined by the formula fxx2 Then the range of f consists of
Answer:the positive real numbers and zero
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