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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
A square matrix A = [aij ]nxn, if aij = 0 for i > j then that matrix is known as _______(a) Upper triangular matrix(b) Lower triangular matrix(c) Unit matrix(d) Null matrixThe question was asked in class test.This intriguing question comes from Types of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct answer is (a) Upper triangular MATRIX |
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| 52. |
A square matrix A = [aij ]nxn, if aij = 0 for i < j then that matrix is known as _______(a) Upper triangular matrix(b) Lower triangular matrix(c) Unit matrix(d) Null matrixThe question was asked in semester exam.The question is from Types of Matrices in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» The correct OPTION is (B) LOWER triangular matrix |
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| 53. |
The trace of the matrix is defined as _______(a) Sum of all the elements of the matrix(b) Sum of all the elements of leading diagonal ofmatrix(c) Sum of all non-zero elements of matrix(d) None of the mentionedThe question was asked during an interview for a job.This intriguing question comes from Types of Matrices topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct choice is (b) SUM of all the ELEMENTS of leading DIAGONAL ofmatrix |
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| 54. |
A matrix having many rows and one column is known as?(a) Row matrix(b) Column matrix(c) Diagonal matrix(d) None of the mentionedThis question was addressed to me in unit test.The doubt is from Types of Matrices in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Right answer is (B) COLUMN MATRIX |
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| 55. |
A matrix having one row and many columns is known as?(a) Row matrix(b) Column matrix(c) Diagonal matrix(d) None of the mentionedThe question was asked in my homework.The origin of the question is Types of Matrices in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» CORRECT CHOICE is (a) ROW MATRIX Explanation: In row matrix there is only ONE row. |
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| 56. |
An anti-symmetric matrix is a one in which?(a) All diagonal elements are zero(b) All diagonal elements are 1(c) A = A^T(d) A = -A^TI had been asked this question in unit test.This question is from Types of Matrices in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» RIGHT option is (d) A = -A^T The explanation: FORAN anti-symmetric matrix, matrix changes it SIGN after TRANSPOSE. |
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| 57. |
A symmetric matrix is a one in which?(a) All diagonal elements are zero(b) All diagonal elements are 1(c) A = A^T(d) A = -A^TThis question was addressed to me in an online interview.My question is based upon Types of Matrices topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct answer is (C) A = A^T |
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| 58. |
If a matrix A = [A11 A12 ⋯ A1n A21A2n ⋮⋮ An1 An2 ⋯ Ann], order(nxn) Aii = 1, Aij = 0 for i ≠ j. Then that matrix is known as ________(a) Identity matrix(b) Null matrix(c) Singular matrix(d) None of the mentionedThis question was posed to me in semester exam.This interesting question is from Types of Matrices topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» The CORRECT answer is (a) Identity MATRIX |
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| 59. |
If A is a subset of B and B is a subset of C, then cardinality of A U B U C is equal to ____________(a) Cardinality of C(b) Cardinality of B(c) Cardinality of A(d) None of the mentionedThe question was asked in an international level competition.The question is from Cardinality of Sets topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» CORRECT choice is (a) CARDINALITY of C To EXPLAIN: A U B U C = C, since a, b are subsets to C. |
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| 60. |
If cardinality of (A U B) = cardinality of A+ cardinality of B. This means ____________(a) A is a subset of B(b) B is a subset of A(c) A and B are disjoint(d) None of the mentionedI had been asked this question in a job interview.This is a very interesting question from Cardinality of Sets topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» RIGHT choice is (C) A and B are disjoint For explanation I would say: Thus if the CARDINALITY of (A U B) = cardinality of A+ cardinality of B, it means they don’t have any ELEMENT in common, n(A∩B) = 0. |
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| 61. |
If for sets A and B there exists an injective function but not bijective function from A to B then?(a) Cardinality of A isstrictly greater than B(b) Cardinality of B isstrictly greater than A(c) Cardinality of B is equal to A(d) None of the mentionedThe question was posed to me by my school teacher while I was bunking the class.Asked question is from Cardinality of Sets topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» The correct choice is (B) Cardinality of B isstrictly greater than A |
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| 62. |
Cardinality of the set of even prime number under 10 is 4.(a) True(b) FalseThe question was posed to me during an online interview.This interesting question is from Cardinality of Sets in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» The CORRECT option is (B) False |
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| 63. |
Cardinality of the set of lower letter english alphabets is 26.(a) True(b) FalseI got this question in an online quiz.Query is from Cardinality of Sets in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» RIGHT ANSWER is (a) True The explanation is: From a, B, c…z there will be 26 ELEMENTS. |
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| 64. |
If there is a bijection between two sets A and B then _______(a) Cardinality of A is greater than B(b) Cardinality of B is greater than A(c) Cardinality of B is equal to A(d) None of the mentionedThe question was posed to me by my college professor while I was bunking the class.Enquiry is from Cardinality of Sets topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» CORRECT CHOICE is (c) Cardinality of B is equal to A Explanation: If there is bijection then two sets A and B will be equinumerous and THUS will have same cardinality. |
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| 65. |
Let a set E ={0,2,4,6,8….} of non-negative even numbers and O = {1, 3, 5, 7, 9,…..} of non-negative odd numbers then?(a) Cardinality of set E is greater than that of O(b) Cardinality of set O is greater than that of E(c) Cardinality of setE is equal to that of O(d) None of the mentionedI have been asked this question in an interview.My question is based upon Cardinality of Sets in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» CORRECT CHOICE is (C) Cardinality of setE is equal to that of O Explanation: There is bijection then TWO sets E and O and they will be equinumerous and THUS will have same cardinality. |
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| 66. |
If A is a subset of B then _______(a) The cardinality of A is greater than B(b) The cardinality of B is greater than A(c) Can’t say(d) None of the mentionedI have been asked this question in class test.Enquiry is from Cardinality of Sets in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» The correct choice is (b) The CARDINALITY of B is greater than A |
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| 67. |
If A, G, H are the AM, GM, HM between a and b respectively then?(a) A, G, H are in hp(b) A, G, H are in gp(c) A, G, H are in ap(d) None of the mentionedI have been asked this question in examination.This interesting question is from Harmonic Sequences in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Right option is (B) A, G, H are in GP |
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| 68. |
The cardinality of the set A = {1, 2, 3, 4, 6} is?(a) 5(b) 6(c) Integer(d) None of the mentionedI got this question in an internship interview.The above asked question is from Cardinality of Sets in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Right CHOICE is (a) 5 |
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| 69. |
For two equal sets there ___________(a) Cardinality is same(b) Cardinality is different(c) May be same or different(d) None of the mentionedThe question was asked in class test.Question is from Cardinality of Sets in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» RIGHT option is (a) Cardinality is same Explanation: Two EQUAL SETS should have the same NUMBER of elements. |
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| 70. |
For two number a,b HM between them is given by?(a) (2b+2a )/3b(b) 2ab/(a+b)(c) (a+b)/2ab(d) 2b/(a+b)This question was posed to me in an internship interview.My doubt is from Harmonic Sequences in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct choice is (b) 2ab/(a+b) |
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| 71. |
Which of the following gives the right inequality for AM, GM, HM?(a) AM>=HM>=GM(b) GM>=AM>=HM(c) AM>=GM>=HM(d) GM>=HM>=AMThe question was posed to me in my homework.Question is from Harmonic Sequences topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct choice is (C) AM>=GM>=HM |
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| 72. |
For number B, C if H is harmonic mean, A is the airthmetic mean then H>=A.(a) True(b) FalseI got this question in my homework.This interesting question is from Harmonic Sequences topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct ANSWER is (b) False |
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| 73. |
If a, b, c are in hp thena^-1, b^-1, c^-1 are in _________(a) GP(b) HP(c) AP(d) None of the mentionedI got this question during a job interview.My doubt is from Harmonic Sequences in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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| 74. |
For number A, C if H is harmonic mean, G is geometric mean then H>=G.(a) True(b) FalseThis question was addressed to me in class test.Asked question is from Harmonic Sequences topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» CORRECT ANSWER is (B) False The best I can explain: Geometric mean is always greater than or equal to the HARMONIC mean. |
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| 75. |
If a, b, c are in hp, then b is related with a and c as _________(a) 2(^1⁄b) = (^1⁄a + ^1⁄c)(b) 2(^1⁄c) = (^1⁄b + ^1⁄c)(c) 2(^1⁄a) = (^1⁄a + ^1⁄b)(d) None of the mentionedI had been asked this question in my homework.The question is from Harmonic Sequences in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct option is (a) 2(^1⁄b) = (^1⁄a + ^1⁄C) |
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| 76. |
If for some number a and d, if first term is ^1⁄a, second term is 1/(a+d), thrid term is 1/(a+2d) and so on, then 5^th term of the sequence is?(a) a+4d(b) a-4d(c) 1/(a+4d)(d) none of the mentionedThis question was posed to me during an interview.My enquiry is from Harmonic Sequences in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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| 77. |
The ninth term of ^1⁄3, ^1⁄7, ^1⁄11, ^1⁄15, ^1⁄19,……… is given by?(a) ^1⁄35(b) ^1⁄36(c) ^1⁄39(d) None of the mentionedThis question was addressed to me during an online exam.Query is from Harmonic Sequences in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» The correct CHOICE is (a) ^1⁄35 |
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| 78. |
If a1, a2……… are in AP thena1^-1, a2^-1……… are in __________(a) An airthmetic sequence(b) A geometic progression(c) Airthmetico-geometric progression(d) None of the mentionedI got this question in quiz.I need to ask this question from Harmonic Sequences in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Right CHOICE is (d) NONE of the mentioned |
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| 79. |
Which of the following is a fibonacci series?(a) 0, 1, 2, 3, 4…….(b) 0, 1, 1, 2, 3, 5……(c) 10, 12, 14, 16…….(d) none of the mentionedThe question was posed to me during an interview.Enquiry is from Special Sequences in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» RIGHT option is (B) 0, 1, 1, 2, 3, 5…… Explanation: FIBONACCI SERIES is formed by adding previous two TERM starting from 0 and 1. |
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| 80. |
Which of the following is a Triangular number series?(a) 1, 3, 6, 9, 12, 15…..(b) 1, 3, 6, 10, 15, 21……(c) 1, 6, 12, 18, 24…..(d) none of the mentionedThis question was posed to me in a national level competition.This interesting question is from Special Sequences in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct answer is (B) 1, 3, 6, 10, 15, 21…… |
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| 81. |
The sequence 1, 1, 1, 1, 1…. is?(a) Absolutely summable(b) Is not absolutely summable(c) Can’t say(d) None of the mentionedI have been asked this question in an internship interview.My enquiry is from Special Sequences topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct answer is (B) Is not absolutely summable |
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| 82. |
If in an AGP the common ratio of GP is 1 then that sequence becomes an AP sequence.(a) True(b) FalseI got this question by my college professor while I was bunking the class.My question comes from Special Sequences topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» RIGHT answer is (a) True The explanation: In AGP sequence if R = 1, then TERMS are AB, (a+d)b, (a+2d)b…. and so on thus it is AP with common differnce bd. |
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| 83. |
The series 1, 1, 1, 1, 1……..is not an AGP.(a) True(b) FalseI have been asked this question in an international level competition.Query is from Special Sequences topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Right answer is (B) False |
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| 84. |
The sum of cubes ofthe first n natural numbers is given by _________(a) {n(n+1)/2}^2(b) {n(n-1)/2}^2(c) {n2(n+1)/2}^2(d) None of the mentionedI had been asked this question during an interview.This key question is from Special Sequences topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct CHOICE is (a) {n(n+1)/2}^2 |
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| 85. |
The sum of square ofthe first n natural numbers isgiven by _________(a) n(n+1)(2n+1)/6(b) n(n-1)/2(2n+1)(c) n^2(n+1)(2n+1)/6(d) None of the mentionedI got this question in examination.This interesting question is from Special Sequences topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» The CORRECT CHOICE is (a) N(n+1)(2n+1)/6 |
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| 86. |
The sum of the first n natural numbers is given by _________(a) n(n+1)/2(b) n(n-1)/2(c) n^2(n+1)/2(d) None of the mentionedThis question was posed to me during an internship interview.My question comes from Special Sequences in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» The correct choice is (a) n(n+1)/2 |
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| 87. |
Let the sequence be 1×2, 3×2^2, 5×2^3, 7×2^4, 9×2^5……… then the next term of this AGP is given by _________(a) 10×26(b) 10×27(c) 11×26(d) None of the mentionedI have been asked this question in final exam.The query is from Special Sequences topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» CORRECT choice is (c) 11×26 Explanation: Since here A1, a2……… are in AP and B1, b2………. are in GP then a2b2, a2b2,……… are in AGP thus an = 11 and bn = 2^6. |
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| 88. |
Let the sequence be 1×2, 3×2^2, 5×2^3, 7×2^4, 9×2^5……… then this sequence is _________(a) An arithmetic sequence(b) A geometic progression(c) Arithmetico-geometric progression(d) None of the mentionedI have been asked this question in an interview for job.My enquiry is from Special Sequences in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» CORRECT answer is (c) Arithmetico-geometric progression To EXPLAIN: If a1, a2……… are in AP and b1, b2………. are in GP then A2B2, a2b2,……… are in AGP. |
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| 89. |
If a1, a2, a3are in GP then 1/a1, 1/a2, 1/a3arein ___________(a) AP(b) GP(c) HP(d) None of the mentionedThe question was asked during an interview.I'm obligated to ask this question of Arithmetic and Geometric Mean topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct option is (b) GP |
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| 90. |
If a1, a2, a3……..are in AP then if a7 = 15, then the value of common difference that would make a2 a7 a12 greatest is?(a) 2(b) 0(c) 4(d) 9I got this question by my school teacher while I was bunking the class.Asked question is from Arithmetic and Geometric Mean topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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| 91. |
If a1, a2, a3are in airthemetic as well as geometric progression then which of the following is/are correct?(a) 2a2 = a1 + a3(b) a2 = (a1a3)^1/2(c) a2 – a1 = a3 -a2(d) All of the mentioned are correctI got this question in an online interview.Question is taken from Arithmetic and Geometric Mean topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Right option is (d) All of the mentioned are correct |
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| 92. |
If between two numbers which are root of given equation. x^2 – 18x + 16 = 0, a GM is inserted then the value of that GM is?(a) 4(b) 5(c) 6(d) 16I got this question in exam.My doubt stems from Arithmetic and Geometric Mean in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» The CORRECT choice is (a) 4 |
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| 93. |
If one geometric mean G and two airthmetic mean A1, A2 are inserted between two numbers, then (2A1 – A2) (2A2 – A1) is equal to _______(a) 2G(b) G(c) G^2(d) None of the mentionedI had been asked this question in final exam.My enquiry is from Arithmetic and Geometric Mean topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» The correct option is (c) G^2 |
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| 94. |
State whether the given statement is true or false.(a) AM ≤ GM.(b) True(c) FalseThis question was posed to me in an international level competition.My question is taken from Arithmetic and Geometric Mean topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Right OPTION is (B) True |
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| 95. |
If A and G be the A.M and G.M between two positive number then the numbers are A + (A^2 – G^2)^1/2,A – (A^2 – G^2)^1/2.(a) True(b) FalseThis question was addressed to me during an interview.This intriguing question comes from Arithmetic and Geometric Mean topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» The CORRECT choice is (a) True |
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| 96. |
The series a, (ab)^1/2, b is in _______(a) AP(b) GP(c) HP(d) None of the mentionedThis question was addressed to me in an online interview.My enquiry is from Arithmetic and Geometric Mean in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» The correct option is (b) GP |
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| 97. |
The series a,(a+b)/2, b is in _______(a) AP(b) GP(c) HP(d) None of the mentionedI had been asked this question by my school principal while I was bunking the class.Question is taken from Arithmetic and Geometric Mean in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Right CHOICE is (a) AP |
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| 98. |
Let A1, A2, be two AM’s and G1, G2 be two GM’s between a and b,then (A1 + A2) / G1G2 is equal to _______(a) (a+b) / 2ab(b) 2ab/(a+b)(c) (a+b)/(ab)(d) None of the mentionedThis question was addressed to me by my college professor while I was bunking the class.The origin of the question is Arithmetic and Geometric Mean topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct choice is (C) (a+b)/(ab) |
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| 99. |
Let the multiplication of the 3 consecutive terms in GP be 8 then midlle of those 3 terms would be _______(a) 2(b) 3(c) 4(d) 179This question was posed to me in exam.I'm obligated to ask this question of Geometric Sequences topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» CORRECT OPTION is (a) 2 Easiest explanation: LET a, B, C be three terms, then a/r * a * ar = 8, b = (ac)^1/2 (G M property), b^3 = 8, b = 2. |
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| 100. |
If a, b, c are in GPthen relation between a, b, c can be ___________(a) 2b = 2a + 3c(b) 2a = b+c(c) b =(ac)^1/2(d) 2c = a + cI got this question during an interview for a job.This question is from Geometric Sequences topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
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Answer» Correct CHOICE is (c) B =(ac)^1/2 |
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