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Which of the following is not statement...

Which of the following is not statement?

A

3 + 5= 11

B

x + 5= 9

C

25 is a perfect number

D

27 is a perfect number

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The correct Answer is:
To determine which of the given options is not a statement, we first need to understand what constitutes a statement. A statement is a declarative sentence that can be classified as either true or false, but not both. ### Step-by-Step Solution: 1. **Identify the Options**: We need to analyze each option provided in the question to see if it can be classified as a statement. 2. **Evaluate Option 1**: - The first option is "3 plus 5 is equal to 11." - This can be evaluated as false because 3 plus 5 equals 8, not 11. - Since we can classify this statement as false, it is indeed a statement. 3. **Evaluate Option 2**: - The second option is "x plus 5 equals 9?" - This is a question that involves a variable (x). Depending on the value of x, the statement can be true or false. - For example, if x = 4, then the statement is true (4 + 5 = 9). If x = 1, then the statement is false (1 + 5 ≠ 9). - Since this statement cannot be definitively classified as true or false without knowing the value of x, it is not a statement. 4. **Evaluate Option 3**: - The third option is "5 is a perfect number." - This can be evaluated as false because 5 is not a perfect number (the perfect number closest to 5 is 6). - Since we can classify this statement as false, it is indeed a statement. 5. **Evaluate Option 4**: - The fourth option is "27 is a perfect number." - This can also be evaluated as false because 27 is not a perfect number. - Since we can classify this statement as false, it is indeed a statement. 6. **Conclusion**: - After evaluating all options, we find that option 2 ("x plus 5 equals 9?") is the only one that cannot be classified as either true or false without additional information. Therefore, it is the correct answer as the option that is not a statement. ### Final Answer: The option that is not a statement is **Option 2: "x plus 5 equals 9?"**
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MCGROW HILL PUBLICATION-MATHEMATICAL REASONING -EXERCISE (CONCEPT-BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. Which of the following is not a proposition ?

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  2. Which of the following is a statement?

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  3. Which of the following is not statement?

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  4. Suppose p and q are two statements and p vee (~q) is false, then trut...

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  5. Let p and q be the statements: p: It is cold. q: She needs a hot ...

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  6. Let p and q stand for the statements: p: Monica is old . q: She ...

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  7. If p to (~ p vvq) is false, the truth values of p and q are , respecti...

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  8. ~ p ^^ q is logically equivalent to

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  9. The negation of p ^^ (q to ~ r) is

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  10. Identify the false statement

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  11. If S(p,q,r)=(~p)vv(~(q ^^ r)) is a compound statement, then S(~p,~q,~r...

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  12. Which of the following statements is false

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  13. Which of the following statement is dual of p ^^ ( q vee r ) equiv ...

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  14. The statement (p rarr q ) rarr p is equivalent to

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  15. If p and q have truth value 'F', then the truth values of (~ p vv q) h...

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  16. Which of the following is a tautology ?

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  17. The proposition (p to ~p) ^^ (~p to p) is a

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  18. Which of the following is not always true ?

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  19. The converse of the contrapositive of the conditional p to ~ q is

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  20. Suppose t denotes the tautology and c denotes the contradiction. Let p...

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