In mathematical logic, which of the following are statements? (i) There…
2018
In mathematical logic, which of the following are statements?
(i) There will be snow in January.
(ii) What is the time now?
(iii) Today is Sunday.
(iv) You must study Discrete mathematics
Choose the correct answer from the code given below:
- A.
(i) and (iii)
- B.
(i) and (ii)
- C.
(ii) and (iv)
- D.
(iii) and (iv)
Attempted by 537 students.
Show answer & explanation
Correct answer: A
Key definition: A statement (proposition) is a declarative sentence that is either true or false.
(i) There will be snow in January. This is a declarative sentence about a future event; it is a proposition because it will be either true or false.
(ii) What is the time now? This is a question, not a declarative sentence, so it is not a statement.
(iii) Today is Sunday. This is a declarative sentence that can be true or false, so it is a statement.
(iv) You must study Discrete mathematics. This is an imperative (a command), not a declarative sentence, so it is not a statement.
Conclusion: The sentences "There will be snow in January." and "Today is Sunday." are statements. The question and the command are not statements.
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