MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find a counterexample of x y(xy > y), where the domain for all variables consists of all integers. |
| A. | x = -1, y = 17 |
| B. | x = -2 y = 8 |
| C. | Both x = -1, y = 17 and x = -2 y = 8 |
| D. | Does not have any counter example |
| Answer» D. Does not have any counter example | |
| 2. |
Determine the truth value of n m(n + m = 5 n m = 2) if the domain for all variables consists of all integers. |
| A. | True |
| B. | False |
| Answer» C. | |
| 3. |
Use quantifiers and predicates with more than one variable to express, There is a pupil in this lecture who has taken at least one course in Discrete Maths. |
| A. | x yP (x, y), where P (x, y) is x has taken y, the domain for x consists of all pupil in this class, and the domain for y consists of all Discrete Maths lectures |
| B. | x yP (x, y), where P (x, y) is x has taken y, the domain for x consists of all Discrete Maths lectures, and the domain for y consists of all pupil in this class |
| C. | x yP(x, y), where P (x, y) is x has taken y, the domain for x consists of all pupil in this class, and the domain for y consists of all Discrete Maths lectures |
| D. | x yP(x, y), where P (x, y) is x has taken y, the domain for x consists of all pupil in this class, and the domain for y consists of all Discrete Maths lectures |
| Answer» B. x yP (x, y), where P (x, y) is x has taken y, the domain for x consists of all Discrete Maths lectures, and the domain for y consists of all pupil in this class | |
| 4. |
Express, The difference of a real number and itself is zero using required operators. |
| A. | x(x x! = 0) |
| B. | x(x x = 0) |
| C. | x y(x y = 0) |
| D. | x(x x = 0) |
| Answer» C. x y(x y = 0) | |
| 5. |
Let T (x, y) mean that student x likes dish y, where the domain for x consists of all students at your school and the domain for y consists of all dishes. Express T (Amit, South Indian) by a simple English sentence. |
| A. | All students does not like South Indian dishes. |
| B. | Amit does not like South Indian people. |
| C. | Amit does not like South Indian dishes. |
| D. | Amit does not like some dishes. |
| Answer» E. | |
| 6. |
Let L(x, y) be the statement x loves y, where the domain for both x and y consists of all people in the world. Use quantifiers to express, Joy is loved by everyone. |
| A. | x L(x, Joy) |
| B. | y L(Joy,y) |
| C. | y x L(x, y) |
| D. | x L(Joy, x) |
| Answer» B. y L(Joy,y) | |
| 7. |
Let Q(x, y) be the statement x + y = x y. If the domain for both variables consists of all integers, what is the truth value of xQ(x, 4). |
| A. | True |
| B. | False |
| Answer» C. | |
| 8. |
The product of two negative real numbers is not negative. Is given by? |
| A. | x y ((x < 0) (y < 0) (xy > 0)) |
| B. | x y ((x < 0) (y < 0) (xy > 0)) |
| C. | x y ((x < 0) (y < 0) (xy > 0)) |
| D. | x y ((x < 0) (y < 0) (xy > 0)) |
| Answer» E. | |
| 9. |
Translate x y(x < y) in English, considering domain as a real number for both the variable. |
| A. | For all real number x there exists a real number y such that x is less than y |
| B. | For every real number y there exists a real number x such that x is less than y |
| C. | For some real number x there exists a real number y such that x is less than y |
| D. | For each and every real number x and y such that x is less than y |
| Answer» B. For every real number y there exists a real number x such that x is less than y | |
| 10. |
Let Q(x, y) denote M + A = 0. What is the truth value of the quantifications A M Q(M, A). |
| A. | True |
| B. | False |
| Answer» C. | |