246 + Interview Questions in Basic Structures: Sets in Discrete Mathematics Page 1 InterviewSolution

1.	Let A order(axb) and Border(cxd) be two matrices, then if ABexists, the order of AB is?(a) axd(b) bxc(c) axb(d) cxdThis question was posed to me during an online exam.The origin of the question is Operations on Matrices topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT OPTION is (a) axd To elaborate: Matrix multiplication exists only when COLUMN of first matrix is same as rows of SECOND i.e b = calso RESULTANT matrix will have number of rows equal to first matrix and column equal to the second matrix.

Discussion

2.	Let A order(axb) and Border(cxd) be two matrices, then for AB to exist, correct relation is given by?(a) a = d(b) b = c(c) a = b(d) c = dI got this question in an international level competition.My question is taken from Operations on Matrices in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right option is (b) b = c To EXPLAIN I would say: Matrix MULTIPLICATION exists only when COLUMN of FIRST matrix is same as rows of SECOND i.e b = c.

Discussion

3.	The value of ∏(k=1)^100(-1) ^k is _________(a) 0(b) 1(c) -1(d) 2This question was addressed to me by my school principal while I was bunking the class.My question is taken from Sequences and Summations in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT answer is (b) 1 Easy explanation: The product of A1, a2, a3 …… an is REPRESENTED by ∏(i=1)^N ai.

Discussion

4.	The value of ∑(i=0)^4i! is __________(a) 32(b) 30(c) 34(d) 35I got this question during an interview.Asked question is from Sequences and Summations topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT answer is (c) 34 For explanation: First five term of the sequence n! is given by 1, 1, 2, 6, 24.

Discussion

5.	Set of all integers is counter.(a) True(b) FalseThis question was addressed to me in an interview.Asked question is from Sequences and Summations topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct answer is (a) True Easy EXPLANATION: There is one-to-one CORRESPONDENCE between set of POSITIVE INTEGERS and set of all integers.

Discussion

6.	For the sequence an = 6. (1/3)^n, a4 is _________(a) 2/25(b) 2/27(c) 2/19(d) 2/13I had been asked this question in semester exam.This intriguing question comes from Sequences and Summations topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT CHOICE is (B) 2/27 Explanation: PUT n = 4 in the sequence.

Discussion

7.	The value of ∑(i=1)^3 ∑(h=0)^2 i is _________(a) 10(b) 17(c) 15(d) 18I have been asked this question in exam.This interesting question is from Sequences and Summations topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT ANSWER is (d) 18 Explanation: The value of ∑(i=1)^3 ∑(h=0)^2 i= 1+1+1+2+2+2+3+3+3 = 18.

Discussion

8.	For the sequence an = ⌊√2n+ 1/2⌋, a7is ____________(a) 1(b) 7(c) 5(d) 4This question was posed to me in an interview.My question is based upon Sequences and Summations topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right ANSWER is (d) 4 For EXPLANATION I WOULD SAY: a7 = ⌊√14+1/2⌋ which is ⌊4.24⌋ = 4.

Discussion

9.	The value of∑(k=50)^100 k^2 is __________(a) 338, 350(b) 297, 900(c) 297, 925(d) 290, 025I got this question in unit test.The origin of the question is Sequences and Summations in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct option is (c) 297, 925 Easiest explanation: Using the FORMULA. ∑(k=1)^N k^2 = (n(n + 1)(2N + 1)) / 6.

Discussion

10.	The sets A and B have same cardinality if and only if there is ___________ from A to B.(a) One-to-one(b) One-to-many(c) Many-to-many(d) Many-to-oneI had been asked this question in an internship interview.My doubt is from Sequences and Summations topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT OPTION is (a) One-to-one To EXPLAIN: If there is one-to-one CORRESPONDENCE then they have same CARDINALITY.

Discussion

11.	For the sequence 0, 1, 2, 3 an is ____________(a) ⌈n/2⌉+⌊n/2⌋(b) ⌈n/2⌉+⌈n/2⌉(c) ⌊n/2⌋+⌊n/2⌋(d) ⌊n/2⌋I have been asked this question during a job interview.The doubt is from Sequences and Summations topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right option is (a) ⌈n/2⌉+⌊n/2⌋ Best explanation: Expand the sequence ⌈n/2⌉+⌊n/2⌋ where a1 is ⌊0.5⌋+⌈0.5⌉ = 1+0 = 1, A2 is ⌊1⌋+⌈1⌉ = 1 + 1 = 2 and so on.

Discussion

12.	For the sequence 1, 7, 25, 79, 241, 727 … simple formula for {an} is ____________(a) 3^n+1 – 2(b) 3^n – 2(c) (-3)^n + 4(d) n^2 – 2I had been asked this question in an interview.This intriguing question originated from Sequences and Summations topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right option is (b) 3^n – 2 To explain: The ratio of consecutive NUMBERS is close to 3. Comparing these terms with the sequence of {3^n} which is 3, 9, 27 …. Comparing these terms with the CORRESPONDING terms of sequence {3^n} and the NTH term is 2 LESS than the corresponding power of 3.

Discussion

13.	If for a square matrix A(non-singular) and B, null matrix O, AB = O then?(a) B is a null matrix(b) B is a non singular matrix(c) B is a identitymatrix(d) All of the mentionedI had been asked this question during an interview.My doubt stems from Inverse of Matrices topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT answer is (a) B is a null matrix The explanation: Given DET(A) is not equal to zero. A-1 exists, A^-1(AB) = O, B = O.

Discussion

14.	Let I3 be the Identity matrix of order 3 then (I3)^-1 is equal to _________(a) 0(b) 3I3(c) I3(d) None of the mentionedThis question was posed to me at a job interview.I want to ask this question from Inverse of Matrices in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct option is (c) I3 The EXPLANATION: IDENITY matrices are self invertible that is I3 X I3 = I3.

Discussion

15.	For a non-singular matrix A, A^-1 is equal to _________(a) (adj(A))/det(A)(b) det(A)(adj(A))(c) det(A)A(d) none of the mentionedThe question was posed to me during an interview.My doubt is from Inverse of Matrices topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT OPTION is (a) (ADJ(A))/DET(A) Explanation: A(adj(A)) = det(A)I, I = A(adj(A))/det(A) which implies A^-1 = (adj(A))/det(A).

Discussion

16.	For a matrix A of order n, the det(adj(A)) = (det(A))^n, where adj() is adjoint of matrix.(a) True(b) FalseI had been asked this question by my college professor while I was bunking the class.This interesting question is from Inverse of Matrices in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT CHOICE is (B) False To explain: For a MATRIX A of ORDER n, the det(adj(A)) = (det(A))^n-1.

Discussion

17.	If A is non singular matrix thenAB = AC implies B = C.(a) True(b) FalseThe question was posed to me in an internship interview.Asked question is from Inverse of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT answer is (a) True The EXPLANATION is: Pre-multipliying by A^-1 we GET B = C.

Discussion

18.	If matrix A, B and C are invertible matrix of same order then (ABC)^-1 = _________(a) CBA(b) C^-1 B^-1 A^-1(c) C^T B^-1 A^T(d) None of the mentionedThis question was addressed to me in final exam.My doubt is from Inverse of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct ANSWER is (b) C^-1 B^-1 A^-1 Best explanation: REVERSAL RULE HOLDS for inverse multiplication of the MATRICES.

Discussion

19.	If A is an invertible square matrix then _________(a) (A^T)^-1 = (A^-1)^T(b) (A^T)^T = (A^-1)^T(c) (A^T)^-1 = (A^-1)^-1(d) None of the mentionedThis question was addressed to me in semester exam.The question is from Inverse of Matrices topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct option is (a) (A^T)^-1 = (A^-1)^T The EXPLANATION is: For INVERTIBLE matrix A, A^T is ALSO inveritble.

Discussion

20.	Let A = [0 1 0 0 ], A^-1 is equal to _________(a) Null matrix(b) Identity matrix(c) Does not exist(d) None of the mentionedThe question was posed to me during an online exam.The origin of the question is Inverse of Matrices topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT ANSWER is (c) Does not exist For EXPLANATION: Since A is singular matrix, inverse does not EXISTS.

Discussion

21.	For a matrix A, B and identity matrix I, if a matrix AB=I=BA then?(a) B is inverse of A(b) A is inverse of B(c) A^-1 = B, B^-1 = A(d) All of the mentionedThe question was asked during an interview.I'd like to ask this question from Inverse of Matrices topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT OPTION is (d) All of the mentioned Easy EXPLANATION: Since AB = I, A = B^-1 Similarly A is the inverse of B.

Discussion

22.	For matrix A,(A^3) = I, A^-1 is equals to _________(a) A^2(b) A^-2(c) Can’t say(d) None of the mentionedI had been asked this question at a job interview.I would like to ask this question from Inverse of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right OPTION is (a) A^2 For EXPLANATION I would SAY: A(A^2) = I this implies A^-1 = A^2.

Discussion

23.	Trace of the matrix of odd ordered anti-symmetric matrix is _________(a) 0(b) 1(c) 2(d) All of the mentionedI have been asked this question in examination.This intriguing question comes from Transpose of Matrices in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT answer is (a) 0 The explanation is: Since in odd ORDERED anti-symmetric MATRIX all DIAGONAL matrix are zero.

Discussion

24.	Let A = [aij] given by abij = (i-j)^3 is a _________(a) Symmetric matrix(b) Anti-Symmetric matrix(c) Identity matrix(d) None of the mentionedThis question was addressed to me during an interview for a job.This is a very interesting question from Transpose of Matrices in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT answer is (b) Anti-Symmetric MATRIX The explanation is: AJI =(j-i^3) = -AIJ, A is Anti-symmetric matrix.

Discussion

25.	If for a square matrix A and B,null matrix O, (AB)^T = O implies A^T = O and B^T = O.(a) True(b) FalseI have been asked this question in an interview.This question is from Transpose of Matrices topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct OPTION is (b) False Explanation: LET A=[0 1 0 0 ], B=[1 0 0 0 ] AB=O and B, A^T, B^T is not equal to O.

Discussion

26.	The determinant of a diagonal matrix is the product of leading diagonal’s element.(a) True(b) FalseThe question was asked in an interview for internship.I would like to ask this question from Transpose of Matrices in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer»

Discussion

27.	A matrix can be expressed as sum of symmetric and anti-symmetric matrices.(a) True(b) FalseThe question was posed to me in a job interview.My enquiry is from Transpose of Matrices in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT CHOICE is (a) True Explanation: SINCE A = (^1⁄2)(A + A^T) + ((^1⁄2)(A – A^T)

Discussion

28.	If matrix A and B are symmetric and AB = BA iff _________(a) AB is symmetric matrix(b) AB is an anti-symmetric matrix(c) AB is a null matrix(d) None of the mentionedI got this question during an interview for a job.This interesting question is from Transpose of Matrices in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT option is (a) AB is symmetric MATRIX Explanation: For two symmetric MATRICES A and B, AB is a symmetric matrix if and only if AB = BA.

Discussion

29.	If A is a lower triangular matrix then A^T is a _________(a) Lower triangular matrix(b) Upper triangular matrix(c) Null matrix(d) None of the mentionedI have been asked this question in examination.Asked question is from Transpose of Matrices topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT option is (B) Upper triangular matrix Explanation: By TRANSPOSE a LOWER triangular matrix will turn to upper triangular matrix and VICE – versa.

Discussion

30.	For matrix Aand a scalar k, (kA)^T is equal to _________(a) k(A)(b) k(A)^T(c) k^2(A)(d) k^2(A)^TThis question was posed to me during an interview.Origin of the question is Transpose of Matrices topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct OPTION is (b) k(A)^T To explain: SCALAR has no EFFECT on TRANSPOSE.

Discussion

31.	For matrix A, (A^T)^T is equals to ___________(a) A(b) A^T(c) Can’t say(d) None of the mentionedThe question was posed to me in an interview for internship.I need to ask this question from Transpose of Matrices in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT choice is (a) A Best explanation: TRANSPOSE of a transposed MATRIX RESULTS in same matrix.

Discussion

32.	For a matrix A, if a matrix B is obtained by changing its rows into columns and column into rows, then relation between A and B is?(a) A^2 = B(b) A^T = B(c) Depends on the matrix(d) None of the mentionedI had been asked this question during an online interview.Question is taken from Transpose of Matrices in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct ANSWER is (B) A^T = B For explanation I would SAY: A = [AIJ] and B = [aji], B = A^T.

Discussion

33.	Let A be a nilpotent matrix of order n then?(a) A^n = O(b) nA = O(c) A = nI, I is Identity matrix(d) None of the mentionedThis question was addressed to me in quiz.The query is from Properties of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct option is (a) A^N = O Best EXPLANATION: n is the SMALLEST POSSIBLE number such that An = O.

Discussion

34.	Which of the following property of matrix multiplication is correct?(a) Multiplication is not commutative in general(b) Multiplication is associative(c) Multiplication is distributive over addition(d) All of the mentionedI have been asked this question in examination.Enquiry is from Properties of Matrices in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right option is (d) All of the mentioned Easy EXPLANATION: MATRIX multiplication is ASSOCIATIVE, distributive, but not COMMUTATIVE.

Discussion

35.	If for a square matrix A and B,null matrix O, AB = O implies A=O and B=O.(a) True(b) FalseI had been asked this question in homework.The origin of the question is Properties of Matrices topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right OPTION is (b) False Explanation: Let A = [0 1 0 0], B = [1 0 0 0]AB=O and B, A is not EQUAL to O.

Discussion

36.	The Inverse exist only for non-singular matrices.(a) True(b) FalseThis question was posed to me by my school teacher while I was bunking the class.The doubt is from Properties of Matrices topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct choice is (a) True The best I can explain: Since for singular MATRIX DET(A)=0.Hence Inverse does not EXIST.

Discussion

37.	If for a square matrix A and B, null matrix O, AB = O implies BA=O.(a) True(b) FalseThis question was addressed to me by my school teacher while I was bunking the class.My enquiry is from Properties of Matrices in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT OPTION is (B) False Easiest explanation: Let A = [0 1 0 0], B = [1 0 0 0]AB=O and BA is not equal to O.

Discussion

38.	Let A = [kaij]nxn, B = [aij]nxn, be an nxn matrices and k be a scalar then det(A) is equal to _________(a) Kdet(B)(b) K^ndet(B)(c) K^3det(b)(d) None of the mentionedI got this question in an interview.I'm obligated to ask this question of Properties of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right CHOICE is (B) K^ndet(B) The best EXPLANATION: The scalar is multiplied with each of the element of MATRIX A then DETERMINANT is multiplied, the number of row times to the scalar i.e. K^ndet(B).

Discussion

39.	For a skew symmetric odd ordered matrix A of integers, which of the following will hold true?(a) det(A) = 9(b) det(A) = 81(c) det(A) = 0(d) det(A) = 4The question was posed to me in semester exam.The doubt is from Properties of Matrices topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct choice is (c) det(A) = 0 For explanation: Determinant of a skew SYMMETRIC ODD ORDERED matrix A is ALWAYS 0.

Discussion

40.	For a skew symmetric even ordered matrix A of integers, which of the following will not hold true?(a) det(A) = 9(b) det(A) = 81(c) det(A) = 7(d) det(A) = 4This question was addressed to me in semester exam.The question is from Properties of Matrices in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT option is (c) det(A) = 7 To explain I would SAY: Determinant of a skew SYMMETRIC even ordered MATRIX Ais a perfect SQUARE.

Discussion

41.	If determinant of a matrix A is Zero than __________(a) A is a Singular matrix(b) A is a non-Singular matrix(c) Can’t say(d) None of the mentionedI have been asked this question in unit test.This intriguing question comes from Properties of Matrices in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right ANSWER is (a) A is a Singular matrix The explanation is: DETERMINANT of singular matrices are ZERO.

Discussion

42.	The determinant of identity matrix is?(a) 1(b) 0(c) Depends on the matrix(d) None of the mentionedThe question was asked by my school teacher while I was bunking the class.Query is from Properties of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct choice is (a) 1 For EXPLANATION: In identity MATRIX aii = 1, and all other ELEMENTS = 0, hence the determinant is 1.

Discussion

43.	All the diagonal elements of a skew-symmetric matrix is?(a) 0(b) 1(c) 2(d) Any integerI had been asked this question in an online interview.Asked question is from Operations on Matrices topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT ANSWER is (a) 0 Best explanation: Since for a skew symmetric matrix aij = -aij, this implies all DIAGONAL elements should be ZERO.

Discussion

44.	For matrix A, B if A – B = O, where O is a null matrix then?(a) A = O(b) B = O(c) A = B(d) None of the mentionedThis question was addressed to me in exam.I would like to ask this question from Operations on Matrices topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right ANSWER is (C) A = B Easy explanation: If subtraction of B from A results in the null MATRIX this MEANS that A is equivalent to B.

Discussion

45.	If for a square matrix A, A^2 = A then such a matrix is known as _________(a) Idempotent matrix(b) Orthagonal matrix(c) Null matrix(d) None of the mentionedI got this question in an internship interview.The above asked question is from Operations on Matrices topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right choice is (a) Idempotent matrix Easy EXPLANATION: A SQAURE matrix is called an Idempotent matrix, if A^2 = A.

Discussion

46.	For matrix A, B.(A+B)^T = A^T + B^T and (AB)^T = A^TB^Tif the orders of matrices are appropriate.(a) True(b) FalseI have been asked this question in an interview for job.This interesting question is from Operations on Matrices topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT choice is (b) False Explanation: (A+B)^T = A^T + B^Tis correct but (AB)^T = B^TA^T(REVERSAL LAW).

Discussion

47.	Let A=[aij ] be an mxn matrix and k be a scalar then kA is equal to __________(a) [kaij ]mxn(b) [aij/k ]mxn(c) [k^2 aij]mxn(d) None of the mentionedThis question was addressed to me in an interview for internship.I would like to ask this question from Operations on Matrices in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct OPTION is (a) [kaij ]mxn Easy explanation: The SCALAR is multiplied with each of the ELEMENT of MATRIX A.

Discussion

48.	The matrix multiplication is distrbutive over matrix addition.(a) True(b) FalseI have been asked this question during an online interview.The question is from Operations on Matrices topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct choice is (a) True To EXPLAIN I WOULD say: For matrix A, B, C, A(B+C) = AB + AC.

Discussion

49.	Two matrix can be added if _______(a) rows of both the matrices are same(b) columns of both the matrices are same(c) both rows and columns of both the matrices are same(d) number of rows of first matrix should be equal to number of column of secondThis question was posed to me in an online interview.My enquiry is from Types of Matrices in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct answer is (c) both ROWS and columns of both the MATRICES are same The EXPLANATION is: Order of TWO matrices MUST be same.

Discussion

50.	For matrix A if AA^T = I, I is identity matrix then A is?(a) Orthagonalmatrix(b) Nilpotent matrix(c) Idempotent matrix(d) None of the mentionedThe question was posed to me in an international level competition.This intriguing question comes from Types of Matrices in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The CORRECT OPTION is (a) Orthagonalmatrix Best EXPLANATION: For orthagonal MATRICES AA^T = I = A^T A.

Discussion

Explore topic-wise InterviewSolutions in .

The value of ∑(i=0)^4i! is __________(a) 32(b) 30(c) 34(d) 35I got this question during an interview.Asked question is from Sequences and Summations topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Set of all integers is counter.(a) True(b) FalseThis question was addressed to me in an interview.Asked question is from Sequences and Summations topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

For the sequence an = 6. (1/3)^n, a4 is _________(a) 2/25(b) 2/27(c) 2/19(d) 2/13I had been asked this question in semester exam.This intriguing question comes from Sequences and Summations topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

The value of ∑(i=1)^3 ∑(h=0)^2 i is _________(a) 10(b) 17(c) 15(d) 18I have been asked this question in exam.This interesting question is from Sequences and Summations topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

For the sequence an = ⌊√2n+ 1/2⌋, a7is ____________(a) 1(b) 7(c) 5(d) 4This question was posed to me in an interview.My question is based upon Sequences and Summations topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

The value of∑(k=50)^100 k^2 is __________(a) 338, 350(b) 297, 900(c) 297, 925(d) 290, 025I got this question in unit test.The origin of the question is Sequences and Summations in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

If A is non singular matrix thenAB = AC implies B = C.(a) True(b) FalseThe question was posed to me in an internship interview.Asked question is from Inverse of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

If for a square matrix A and B,null matrix O, (AB)^T = O implies A^T = O and B^T = O.(a) True(b) FalseI have been asked this question in an interview.This question is from Transpose of Matrices topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

A matrix can be expressed as sum of symmetric and anti-symmetric matrices.(a) True(b) FalseThe question was posed to me in a job interview.My enquiry is from Transpose of Matrices in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

For matrix Aand a scalar k, (kA)^T is equal to _________(a) k(A)(b) k(A)^T(c) k^2(A)(d) k^2(A)^TThis question was posed to me during an interview.Origin of the question is Transpose of Matrices topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

If for a square matrix A and B,null matrix O, AB = O implies A=O and B=O.(a) True(b) FalseI had been asked this question in homework.The origin of the question is Properties of Matrices topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

The Inverse exist only for non-singular matrices.(a) True(b) FalseThis question was posed to me by my school teacher while I was bunking the class.The doubt is from Properties of Matrices topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

All the diagonal elements of a skew-symmetric matrix is?(a) 0(b) 1(c) 2(d) Any integerI had been asked this question in an online interview.Asked question is from Operations on Matrices topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

The matrix multiplication is distrbutive over matrix addition.(a) True(b) FalseI have been asked this question during an online interview.The question is from Operations on Matrices topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics