246 + Interview Questions in Basic Structures: Sets in Discrete Mathematics Page 3 InterviewSolution

101.	Which of the following sequeces in GP will have common ratio 3, where n is an Integer?(a) gn = 2n^2 + 3n(b) gn = 2n^2 + 3(c) gn = 3n^2 + 3n(d) gn = 6(3^n-1)I had been asked this question in an online quiz.This interesting question is from Geometric Sequences in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct choice is (d) gn = 6(3^n-1) For EXPLANATION I WOULD say: gn = 6( 3^n-1) it is a geometric EXPRESSION with coefficient of constant as 3^n-1.So it is GP with common RATIO 3.

Discussion

102.	Let the sequence be 2, 8, 32, 128,……… then this sequence is _______________(a) An arithmetic sequence(b) A geometic progression(c) A harmonic sequence(d) None of the mentionedI got this question in homework.I'd like to ask this question from Geometric Sequences topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT ANSWER is (b) A geometic progression Explanation: The RATIO of any TERM with previous term is same.

Discussion

103.	If a, b, c are in APthen relation between a, b, c can be _________(a) 2b = 2a + 3c(b) 2a = b + c(c) 2b = a + c(d) 2c = a + cI got this question during an online exam.The question is from Arithmetic Sequences in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct CHOICE is (c) 2b = a + c Easiest EXPLANATION: The TERM B should be the airthmetic mean of of term a and c.

Discussion

104.	Let the sum of the 3 consecutive terms in AP be 180 then midlle of those 3 terms would be ________(a) 60(b) 80(c) 90(d) 179The question was asked in an interview for job.This key question is from Arithmetic Sequences in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct choice is (a) 60 Easy EXPLANATION: Let a1, b1, C1 be three TERMS, then a1 + b1 + c1 = 180, a1 + c1 = 2b1(A M property), 3B1 = 180, b1=60.

Discussion

105.	A series can either be AP only or GP only or HP only but not all at the same time.(a) True(b) FalseThe question was posed to me in my homework.My query is from Arithmetic Sequences topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct CHOICE is (B) False Easiest explanation: 1, 1, 1, 1, 1…….. is AP, GP and HP series.

Discussion

106.	Which of the following sequeces in AP will have common difference 3, where n is an Integer?(a) an = 2n^2 + 3n(b) an = 2n^2 + 3(c) an = 3n^2 + 3n(d) an = 5 + 3nI had been asked this question by my college professor while I was bunking the class.Asked question is from Arithmetic Sequences in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer»

Discussion

107.	Let the sequence be 1, 3, 5, 7, 9……… then this sequence is ____________(a) An arithmetic sequence(b) A geometric progression(c) A harmonic sequence(d) None of the mentionedThis question was addressed to me in homework.My question is taken from Arithmetic Sequences topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT option is (a) An ARITHMETIC sequence To elaborate: The difference in any TERM with the PREVIOUS term is same.

Discussion

108.	Let f(x) = x then number of solution to f(x) = f ^-1(x) is zero.(a) True(b) FalseThe question was asked in my homework.My doubt stems from Inverse of a Function topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT option is (B) False Best EXPLANATION: Since inverse of a function is the mirror IMAGE of function in line y = x, therefore in this case INFINTE solution will exist.

Discussion

109.	If f is a function defined from R to R, is given by f(x) = x^2 then f ^-1(x) is given by?(a) 1/(3x-5)(b) (x+5)/3(c) does not exist since it is not a bijection(d) none of the mentionedI got this question during an interview for a job.Question is from Inverse of a Function in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT option is (c) does not exist SINCE it is not a bijection To explain: It is not a ONE one FUNCTION HENCE Inverse does not exist.

Discussion

110.	The solution to f(x) = f ^-1(x) are __________(a) no solutions in any case(b) same as solution to f(x) = x(c) infinite number of solution for every case(d) none of the mentionedI have been asked this question in an interview for internship.The query is from Inverse of a Function topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT answer is (b) same as solution to f(X) = x To EXPLAIN: Inverse of a function is the mirror image of function in line y = x.

Discussion

111.	For any function fof ^-1(x) is equal to?(a) x(b) 1(c) x^2(d) none of the mentionedI had been asked this question in a national level competition.I want to ask this question from Inverse of a Function topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct CHOICE is (a) X The EXPLANATION: COMPOSTION of a function with its inverse gives x.

Discussion

112.	f(x) is a bijection than f ^-1(x) is a mirror image of f(x) around y = x.(a) True(b) FalseThe question was posed to me in an internship interview.Enquiry is from Inverse of a Function in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer»

Discussion

113.	If f is a function defined from R to R, is given by f(x) = 3x – 5 then f ^–1(x)is given by __________(a) 1/(3x-5)(b) (x+5)/3(c) does not exist since it is not a bijection(d) none of the mentionedThe question was asked during an interview.Enquiry is from Inverse of a Function in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct CHOICE is (B) (x+5)/3 Explanation: y = 3x-5, x = (y+5)/3, F ^-1(x) = (x+5)/3.

Discussion

114.	For some bijective function inverse of that function is not bijective.(a) True(b) FalseThe question was posed to me in exam.Origin of the question is Inverse of a Function in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT OPTION is (b) False Easy EXPLANATION: If F(x) is a bijection than f ^-1(x) is also a bijection.

Discussion

115.	A function f(x) is defined from A to B then f ^-1 is defined __________(a) from A to B(b) from B to A(c) depends on the inverse of function(d) none of the mentionedI got this question during an online interview.My question is based upon Inverse of a Function in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct answer is (b) from B to A To explain I would SAY: Inverse ASSOCIATE each element in B with corresponding element in A.

Discussion

116.	If f(x) = y then f^-1(y) is equal to __________(a) y(b) x(c) x^2(d) none of the mentionedThe question was asked in my homework.I need to ask this question from Inverse of a Function in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer»

Discussion

117.	For an inverse to exist it is necessary that a function should be __________(a) injection(b) bijection(c) surjection(d) none of the mentionedThe question was asked by my school principal while I was bunking the class.My question comes from Inverse of a Function in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct CHOICE is (B) bijection To explain: Inverse EXIST only for those functions which are ONE one and ONTO.

Discussion

118.	Let n be some integer greater than 1,then floor((n-1)/n) is 1.(a) True(b) FalseThis question was addressed to me in an online interview.Question is taken from Floor and Ceiling Function topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct option is (b) False Explanation: Since (n-1)/n will always be LESS than one THUS f floor((n-1)/n) is 0.

Discussion

119.	If X = Floor(X) = Ceil(X) then __________(a) X is a fractional number(b) X is a Integer(c) X is less than 1(d) none of the mentionedThe question was asked in an interview for internship.This key question is from Floor and Ceiling Function topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right OPTION is (B) X is a Integer To EXPLAIN I would say: Only in case of integersX = Floor(X) = Ceil(X) holds GOOD.

Discussion

120.	If x, and y are positive numbers both are less than one, then maximum value of ceil(x + y) is?(a) 0(b) 1(c) 2(d) -1This question was posed to me in an interview for job.I'm obligated to ask this question of Floor and Ceiling Function topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct CHOICE is (c) 2 For explanation I WOULD say: Since X < 1 and y < 1 this implies x + y < 2 which MEANS maximum value of ceil(x + y) is 2.

Discussion

121.	If x, and y are positive numbers both are less than one, then maximum value of floor(x + y) is?(a) 0(b) 1(c) 2(d) -1The question was asked at a job interview.My doubt stems from Floor and Ceiling Function topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT answer is (b) 1 Explanation: SINCE X < 1 and y < 1 this implies x + y < 2 which means maximium VALUE of floor(x + y) is 1.

Discussion

122.	For some number x, Floor(x)
Answer» RIGHT choice is (a) True Explanation: FLOOR FUNCTION f(x) is the largest INTEGER not greater than x and CEIL function f(x) is the smallestinteger not less than x.

Discussion

123.	For some integer n such that x < n < x + 1, ceil(x) < n.(a) True(b) FalseI have been asked this question during an interview.My question is taken from Floor and Ceiling Function topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right answer is (B) False Best explanation: IFX < N < X + 1then CEIL(x) = n.

Discussion

124.	Floor(2.4) + Ceil(2.9) is equal to __________(a) 4(b) 6(c) 5(d) none of the mentionedThe question was asked in an online quiz.The above asked question is from Floor and Ceiling Function topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right CHOICE is (c) 5 The EXPLANATION: Floor(2.4) = 2, Ceil(2.9) = 3, 2 + 3 = 5.

Discussion

125.	A ceil function map a real number to __________(a) smallest previous integer(b) greatest previous integer(c) smallest following integer(d) none of the mentionedThe question was posed to me in an online interview.My doubt is from Floor and Ceiling Function topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct choice is (C) smallest following integer Explanation: CEIL FUNCTION f(x) is the smallestinteger not LESS than x.

Discussion

126.	A function f(x) is defined as f(x) = x – [x], where [.] represents GIF then __________(a) f(x) will be intergral part of x(b) f(x) will be fractional part of x(c) f(x) will always be 0(d) none of the mentionedThe question was asked during an internship interview.My question is based upon Floor and Ceiling Function topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT CHOICE is (b) f(x) will be FRACTIONAL PART of x Explanation: A integral part of a number is subtracted from that number we are left with the fractional part of that number.

Discussion

127.	A floor function map a real number to ___________(a) smallest previous integer(b) greatest previous integer(c) smallest following integer(d) none of the mentionedThis question was posed to me in quiz.This intriguing question originated from Floor and Ceiling Function in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT answer is (B) greatest previous integer The explanation: FLOOR FUNCTION f(x) is the largest integer not greater than x.

Discussion

128.	A bijection is a function which is many-one and onto.(a) True(b) FalseThis question was posed to me at a job interview.My query is from Number of Functions in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct option is (B) False Easy explanation: A BIJECTION is a FUNCTION which is one-one(INJECTION) and ONTO(surjection).

Discussion

129.	A function is defined by mapping f : A → B such that A contains m elements and B contains n elements and 1≤n≤m then number of onto functions are ________(a) r=1∑^r=n ^nCr (-1)^n-r r^m(b) r=1∑^r=n ^nCr (-1)^n-r r^n(c) r=1∑^r=n ^nCr (-1)^m-r r^n(d) None of the mentionedI have been asked this question in unit test.The above asked question is from Number of Functions topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT answer is (a) r=1∑^r=N ^NCR (-1)^n-r r^m Explanation: The number of onto function is equal tpo the COFFECIENT of x^m in m!(e^x – 1)n.

Discussion

130.	A function is defined by mapping f:A→B such that A contains m elements and B contains n elements and m > n then number of bijections are ________(a) ^nCm x m!(b) ^nCm x n!(c) 0(d) none of the mentionedThis question was addressed to me by my college professor while I was bunking the class.This interesting question is from Number of Functions topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer»

Discussion

131.	Set A has 3 elements and set B has 4 elements then number of injections defined from A to B are?(a) 12(b) 24(c) 36(d) 48I have been asked this question during an interview.Enquiry is from Number of Functions in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT OPTION is (b) 24 To explain: Injections will be ^4C3 X 3!=24.

Discussion

132.	Onto function are known as injection.(a) True(b) FalseThe question was asked during an online interview.This is a very interesting question from Number of Functions in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct OPTION is (b) False The EXPLANATION: Onto functions are KNOWN as SURJECTION.

Discussion

133.	A function is defined by mapping f : A -> B such that A contains m elements and B contains n elements and m>n then number of one one functions are ________(a) ^nCm x m!(b) ^nCm x n!(c) 0(d) none of the mentionedI had been asked this question during an internship interview.My query is from Number of Functions topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct choice is (c) 0 Easy explanation: Since for function to be defined every element should have a IMAGE, since m > N atleast one element need to have same image, thus we can’t form any unique images and hence the NUMBER of one one function are ZERO.

Discussion

134.	For an onto function range is equivalent to codomain.(a) True(b) FalseI have been asked this question during an interview.Question is from Number of Functions topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct ANSWER is (a) True Easiest explanation: Since in onto function EVERY image should have PREIMAGE thus all the ELEMENTS in codomain should have preimages.

Discussion

135.	A function is defined by mapping f : A → B such that A contains m elements and B contains n elements and m ≤ n then number of one one functions are _________(a) ^nCm x m!(b) ^nCm x n!(c) 0(d) none of the mentionedI got this question by my college director while I was bunking the class.The above asked question is from Number of Functions in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct CHOICE is (a) ^NCM x m! For explanation: From N elements in B we need to select m elements and then arrange them in all WAYS, thusanswer=^nCm x m!.

Discussion

136.	A mapping f : X → Y is one one if __________(a) f(x1) ≠ f(x2) for all x1, x2 in X(b) If f(x1) = f(x2) then x1 = x2 for all x1, x2 in X(c) f(x1) = f(x2) for all x1, x2 in X(d) None of the mentionedI got this question in an international level competition.I want to ask this question from Number of Functions topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct choice is (B) If f(X1) = f(X2) then x1 = x2 for all x1, x2 in X The explanation is: In one one function EVERY element in A should have UNIQUE image in B,thus if two image are equal this means there preimages are same.

Discussion

137.	An injection is a function which is?(a) many-one(b) one-one(c) onto(d) none of the mentionedThe question was posed to me during an online exam.The query is from Number of Functions in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer»

Discussion

138.	Let f(x)=sin^2(x) + log(x) then domain of f(x) is (-∞, ∞).(a) True(b) FalseThe question was posed to me during a job interview.This is a very interesting question from Domain and Range of Functions in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT option is (b) False The best I can explain: DOMAIN is (0, ∞), since log(X) is not defined for negative numbers and zero.

Discussion

139.	If f(x) = x^2 + 4 then range of f(x) is given by?(a) [4, ∞)(b) (-∞, ∞) – {0}(c) (0, ∞)(d) None of the mentionedThis question was addressed to me during an online exam.I'd like to ask this question from Domain and Range of Functions in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT option is (a) [4, ∞) To EXPLAIN: Since minimum VALUE of x^2 is 0, THUS x^2 +4 may take any value between [4,∞).

Discussion

140.	If f(x) = 2^x then range of the function is?(a) (-∞, ∞)(b) (-∞, ∞) – {0}(c) (0, ∞)(d) None of the mentionedI have been asked this question during an online interview.Enquiry is from Domain and Range of Functions in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct option is (c) (0, ∞) The explanation: The function cannot take NEGATIVE values,HENCE RANGE is (0, ∞).

Discussion

141.	What is range of function f(x) = x^-1 which is defined everywhere on its domain?(a) (-∞, ∞)(b) (-∞, ∞) – {0}(c) [0, ∞)(d) None of the mentionedThis question was posed to me during a job interview.My question comes from Domain and Range of Functions in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right answer is (a) (-∞, ∞) The EXPLANATION is: FUNCTION x^-1 may take any real number hence it’s RANGE is all real NUMBERS.

Discussion

142.	Codomain is the subset of range.(a) True(b) FalseThe question was asked during an online exam.I'd like to ask this question from Domain and Range of Functions topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct ANSWER is (b) False To EXPLAIN I would say: Range is the SUBSET of CODOMAIN, that is every value in the range is in codomain but vice-versa it is not TRUE.

Discussion

143.	The range of function f(x) = sin(x) is (-∞, ∞).(a) True(b) FalseThis question was addressed to me in my homework.My question is taken from Domain and Range of Functions topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct OPTION is (B) False Easiest EXPLANATION: A sine function takes values between -1 and 1,THUS range is [-1, 1].

Discussion

144.	What is domain of function f(x) = x^-1 for it to be defined everywhere on domain?(a) (2, ∞)(b) (-∞, ∞) – {0}(c) [0, ∞)(d) None of the mentionedThe question was asked in an interview.Query is from Domain and Range of Functions topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT option is (B) (-∞, ∞) – {0} The explanation is: FUNCTION x^-1 is not defined for x=0, otherwise it defined for every real number.

Discussion

145.	What is the range of a function?(a) the maximal set of numbers for which a function is defined(b) the maximal set of numbers which a function can take values(c) it is set of natural numbers for which a function is defined(d) none of the mentionedThe question was asked in an international level competition.My question is based upon Domain and Range of Functions topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct answer is (B) the maximal set of numbers which a function can take VALUES Easy EXPLANATION: Range is the set of all values which a function may take.

Discussion

146.	What is domain of function f(x)= x^1/2?(a) (2, ∞)(b) (-∞, 1)(c) [0, ∞)(d) None of the mentionedI had been asked this question during an interview.Enquiry is from Domain and Range of Functions topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer»

Discussion

147.	What is the domain of a function?(a) the maximal set of numbers for which a function is defined(b) the maximal set of numbers which a function can take values(c) it is a set of natural numbers for which a function is defined(d) none of the mentionedI had been asked this question during a job interview.I want to ask this question from Domain and Range of Functions topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct answer is (a) the maximal set of numbers for which a FUNCTION is defined Best EXPLANATION: DOMAIN is the set of all the numbers on which a function is defined. It MAY be REAL as well.

Discussion

148.	The big-Omega notation for f(x) = 2x^4 + x^2 – 4 is?(a) x^2(b) x^3(c) x(d) x^4I had been asked this question in an international level competition.I need to ask this question from The Growth of Functions in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT answer is (d) x^4 To ELABORATE: 2x^4 + x^2 – 4 is GREATER than or EQUAL to x^4.

Discussion

149.	The big-O notation for f(x) = 5logx is?(a) 1(b) x(c) x^2(d) x^3This question was addressed to me in final exam.My question is from The Growth of Functions in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT choice is (B) x Explanation: logx < x, it FOLLOWS that 5logx < x.

Discussion

150.	The big-O notation for f(n) = 2log(n!) + (n^2 + 1)logn is?(a) n(b) n^2(c) nlogn(d) n^2lognI have been asked this question during an online interview.I want to ask this question from The Growth of Functions in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct answer is (d) n^2logn Easy EXPLANATION: LOG(n!) < n^2logn, it follows that 2LOG(n!) + (n^2 + 1)logn is less than or equal n^2logn.

Discussion

Explore topic-wise InterviewSolutions in .

A series can either be AP only or GP only or HP only but not all at the same time.(a) True(b) FalseThe question was posed to me in my homework.My query is from Arithmetic Sequences topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Let f(x) = x then number of solution to f(x) = f ^-1(x) is zero.(a) True(b) FalseThe question was asked in my homework.My doubt stems from Inverse of a Function topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

f(x) is a bijection than f ^-1(x) is a mirror image of f(x) around y = x.(a) True(b) FalseThe question was posed to me in an internship interview.Enquiry is from Inverse of a Function in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

For some bijective function inverse of that function is not bijective.(a) True(b) FalseThe question was posed to me in exam.Origin of the question is Inverse of a Function in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

If f(x) = y then f^-1(y) is equal to __________(a) y(b) x(c) x^2(d) none of the mentionedThe question was asked in my homework.I need to ask this question from Inverse of a Function in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Let n be some integer greater than 1,then floor((n-1)/n) is 1.(a) True(b) FalseThis question was addressed to me in an online interview.Question is taken from Floor and Ceiling Function topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

For some number x, Floor(x)

For some integer n such that x < n < x + 1, ceil(x) < n.(a) True(b) FalseI have been asked this question during an interview.My question is taken from Floor and Ceiling Function topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Floor(2.4) + Ceil(2.9) is equal to __________(a) 4(b) 6(c) 5(d) none of the mentionedThe question was asked in an online quiz.The above asked question is from Floor and Ceiling Function topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

A bijection is a function which is many-one and onto.(a) True(b) FalseThis question was posed to me at a job interview.My query is from Number of Functions in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Onto function are known as injection.(a) True(b) FalseThe question was asked during an online interview.This is a very interesting question from Number of Functions in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

For an onto function range is equivalent to codomain.(a) True(b) FalseI have been asked this question during an interview.Question is from Number of Functions topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

An injection is a function which is?(a) many-one(b) one-one(c) onto(d) none of the mentionedThe question was posed to me during an online exam.The query is from Number of Functions in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Codomain is the subset of range.(a) True(b) FalseThe question was asked during an online exam.I'd like to ask this question from Domain and Range of Functions topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

The range of function f(x) = sin(x) is (-∞, ∞).(a) True(b) FalseThis question was addressed to me in my homework.My question is taken from Domain and Range of Functions topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

The big-O notation for f(x) = 5logx is?(a) 1(b) x(c) x^2(d) x^3This question was addressed to me in final exam.My question is from The Growth of Functions in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics