MCQOPTIONS
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MCQOPTIONS
This section includes 110 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
In the given Geometric progression, ‘2²⁵‘ would be a term in it. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 52. |
Which of the following sequeces in GP will have common ratio 3, where n is an Integer? |
| A. | gₙ = 2n² + 3n |
| B. | gₙ = 2n² + 3 |
| C. | gₙ = 3n² + 3n |
| D. | gₙ = 6(3ⁿ⁻¹) |
| Answer» E. | |
| 53. |
If a, b, c are in GP then relation between a, b, c can be ___________ |
| A. | 2b = 2a + 3c |
| B. | 2a = b+c |
| C. | b =(ac)½ |
| D. | 2c = a + c |
| Answer» D. 2c = a + c | |
| 54. |
In the given Geometric progression the term at position 11 would be ___________ |
| A. | 2³⁵ |
| B. | 2⁴⁵ |
| C. | 35 |
| D. | None of the mentioned |
| Answer» B. 2⁴⁵ | |
| 55. |
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 mentioned |
| Answer» C. A harmonic sequence | |
| 56. |
State whether the given statement is true or false. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» B. False | |
| 57. |
The matrix multiplication is distrbutive over matrix addition. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» B. False | |
| 58. |
The sequence 1, 1, 1, 1, 1…. is? |
| A. | Absolutely summable |
| B. | Is not absolutely summable |
| C. | Can’t say |
| D. | None of the mentioned |
| Answer» C. Can’t say | |
| 59. |
An anti-symmetric matrix is a one in which? |
| A. | All diagonal elements are zero |
| B. | All diagonal elements are 1 |
| C. | A = Aᵀ |
| D. | A = -Aᵀ |
| Answer» E. | |
| 60. |
The cardinality of the set A = {1, 2, 3, 4, 6} is? |
| A. | 5 |
| B. | 6 |
| C. | Integer |
| D. | None of the mentioned |
| Answer» B. 6 | |
| 61. |
In the given Geometric progression find the number of terms. |
| A. | 11 |
| B. | 13 |
| C. | 15 |
| D. | None of the mentioned |
| Answer» E. | |
| 62. |
For matrix A, B.(A+B)ᵀ = Aᵀ + Bᵀ and (AB)ᵀ = AᵀBᵀ if the orders of matrices are appropriate. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 63. |
All the diagonal elements of a skew-symmetric matrix is? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | Any integer |
| Answer» B. 1 | |
| 64. |
The determinant of identity matrix is? |
| A. | 1 |
| B. | 0 |
| C. | Depends on the matrix |
| D. | None of the mentioned |
| Answer» B. 0 | |
| 65. |
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 mentioned |
| Answer» B. A is a non-Singular matrix | |
| 66. |
Let A order(axb) and B order(cxd) be two matrices, then if AB exists, the order of AB is? |
| A. | axd |
| B. | bxc |
| C. | axb |
| D. | cxd |
| Answer» B. bxc | |
| 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 mentioned |
| Answer» C. A, G, H are in ap | |
| 68. |
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. | 179 |
| Answer» B. 3 | |
| 69. |
The determinant of a diagonal matrix is the product of leading diagonal’s element. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» B. False | |
| 70. |
Let the sequence be 1×2, 3×2², 5×2³, 7×2⁴, 9×2⁵……… then this sequence is _________ |
| A. | An arithmetic sequence |
| B. | A geometic progression |
| C. | Arithmetico-geometric progression |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 71. |
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 5th term of the sequence is? |
| A. | a+4d |
| B. | a-4d |
| C. | 1/(a+4d) |
| D. | none of the mentioned |
| Answer» D. none of the mentioned | |
| 72. |
If for a square matrix A and B, null matrix O, AB = O implies BA=O. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 73. |
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 of matrix |
| C. | Sum of all non-zero elements of matrix |
| D. | None of the mentioned |
| Answer» C. Sum of all non-zero elements of matrix | |
| 74. |
Cardinality of the set of lower letter english alphabets is 26. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» B. False | |
| 75. |
Let A be a nilpotent matrix of order n then? |
| A. | Aⁿ = O |
| B. | nA = O |
| C. | A = nI, I is Identity matrix |
| D. | None of the mentioned |
| Answer» B. nA = O | |
| 76. |
Let A and B be two matrices of same order, then state whether the given statement is true or false. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» B. False | |
| 77. |
For two equal sets there ___________ |
| A. | Cardinality is same |
| B. | Cardinality is different |
| C. | May be same or different |
| D. | None of the mentioned |
| Answer» B. Cardinality is different | |
| 78. |
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. | Kⁿdet(B) |
| C. | K³det(b) |
| D. | None of the mentioned |
| Answer» C. K³det(b) | |
| 79. |
If a₁, a₂……… are in AP then a₁⁻¹, a₂⁻¹……… are in __________ |
| A. | An airthmetic sequence |
| B. | A geometic progression |
| C. | Airthmetico-geometric progression |
| D. | None of the mentioned |
| Answer» E. | |
| 80. |
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) = 4 |
| Answer» D. det(A) = 4 | |
| 81. |
A matrix can be expressed as sum of symmetric and anti-symmetric matrices. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» B. False | |
| 82. |
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. | [k² aᵢⱼ]ₘₓₙ |
| D. | None of the mentioned |
| Answer» B. [aᵢⱼ/k ]ₘₓₙ | |
| 83. |
Let the sequence be 1×2, 3×2², 5×2³, 7×2⁴, 9×2⁵……… then the next term of this AGP is given by _________ |
| A. | 10×26 |
| B. | 10×27 |
| C. | 11×26 |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 84. |
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 mentioned |
| Answer» D. None of the mentioned | |
| 85. |
The series a, (ab)½, b is in _______ |
| A. | AP |
| B. | GP |
| C. | HP |
| D. | None of the mentioned |
| Answer» C. HP | |
| 86. |
The sum of the first n natural numbers is given by _________ |
| A. | n(n+1)/2 |
| B. | n(n-1)/2 |
| C. | n²(n+1)/2 |
| D. | None of the mentioned |
| Answer» B. n(n-1)/2 | |
| 87. |
For number B, C if H is harmonic mean, A is the airthmetic mean then H>=A. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 88. |
Trace of the matrix of odd ordered anti-symmetric matrix is _________ |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | All of the mentioned |
| Answer» B. 1 | |
| 89. |
If A and G be the A.M and G.M between two positive number then the numbers are A + (A² – G²)½, A – (A² – G²)½. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» B. False | |
| 90. |
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. | A² = B |
| B. | Aᵀ = B |
| C. | Depends on the matrix |
| D. | None of the mentioned |
| Answer» C. Depends on the matrix | |
| 91. |
If a₁, a₂, a₃ are in GP then 1/a₁, 1/a₂, 1/a₃ are in ___________ |
| A. | AP |
| B. | GP |
| C. | HP |
| D. | None of the mentioned |
| Answer» C. HP | |
| 92. |
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 mentioned |
| Answer» C. 10, 12, 14, 16……. | |
| 93. |
The value of ∑(i=0)⁴i! is __________ |
| A. | 32 |
| B. | 30 |
| C. | 34 |
| D. | 35 |
| Answer» D. 35 | |
| 94. |
For the sequence aₙ = ⌊√2n+ 1/2⌋, a₇ is ____________ |
| A. | 1 |
| B. | 7 |
| C. | 5 |
| D. | 4 |
| Answer» E. | |
| 95. |
The value of ∑(i=1)³ ∑(h=0)² i is _________ |
| A. | 10 |
| B. | 17 |
| C. | 15 |
| D. | 18 |
| Answer» E. | |
| 96. |
For the sequence aₙ = 6. (1/3)ⁿ, aₙ is _________ |
| A. | 2/25 |
| B. | 2/27 |
| C. | 2/19 |
| D. | 2/13 |
| Answer» C. 2/19 | |
| 97. |
Set of all integers is counter. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» B. False | |
| 98. |
The value of∑(k=50)¹⁰⁰ k² is __________ |
| A. | 338, 350 |
| B. | 297, 900 |
| C. | 297, 925 |
| D. | 290, 025 |
| Answer» D. 290, 025 | |
| 99. |
The value of ∏(k=1)¹⁰⁰(-1)ᵏ is _________ |
| A. | 0 |
| B. | 1 |
| C. | -1 |
| D. | 2 |
| Answer» C. -1 | |
| 100. |
For the sequence 1, 7, 25, 79, 241, 727 … simple formula for {aₙ} is ____________ |
| A. | 3ⁿ⁺¹ – 2 |
| B. | 3ⁿ – 2 |
| C. | (-3)ⁿ + 4 |
| D. | n² – 2 |
| Answer» C. (-3)ⁿ + 4 | |