Recent questions and answers in Mathematical Reasoning

Given the following statement: Statements: No shoe is a chappal. Some chappals are sandals. Now, consider the claims: C1: Some sandals are not chappals.. C2: Sandals which are not chappals are shoes. Now, mark according to the rules - \[\] i) Mark A if C1 is true, ii) Mark B if C2 is true,iii) Mark C if neither C1 nor C2 is true and iv) Mark D if both C1 and C2 are true.

answered Jun 28, 2021 by mohammadparvez616

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The sentence "____ if and only if $ x + x = 3x$" is TRUE. Which of the following could be used to fill in the blank?

answered Jun 16, 2021 by swatisss278

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Given the following statement: All doors are windows. Some windows are clips. Now, consider the claims: C1 :Some clips, if they are doors, they are also windows C2: All clips which are not widows are also not doors. Now, mark according to the rules - \[\] i) Mark A if C1 is true, ii) Mark B if C2 is true,iii) Mark C if neither C1 nor C2 is true and iv) Mark D if both C1 and C2 are true.

answered Jul 22, 2020 by praattiikk

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Given the following statement: Some pins are clips. Some clips are pens. Now, consider the claims: C1 :Some pins are pens and C2: No pin is a pen. Now, mark according to the rules - \[\] i) Mark A if C1 is true, ii) Mark B if C2 is true,iii) Mark C if neither C1 nor C2 is true and iv) Mark D if both C1 and C2 are true.

answered Jul 3, 2019 by rana99ankitt

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Given the following statement: All seats are hot. All belts are hot. Now, consider the claims: C1: Some seats are belts. C2: All hot are either seats or belts . Now, mark according to the rules - \[\] i) Mark A if C1 is true, ii) Mark B if C2 is true,iii) Mark C if neither C1 nor C2 is true and iv) Mark D if both C1 and C2 are true.

answered May 15, 2019 by swamiaboli91

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The statement $\sim(p \leftrightarrow \sim q)$ is

answered May 25, 2018 by saumyaa316

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Statement-1: $(p \wedge \sim q) \wedge (\sim p \wedge q)$ is a fallacy, and Statement-2 : $(p \rightarrow q) \leftrightarrow (\sim q \rightarrow \sim p)$ is a tautology. Given these two statements, which of the following is true?

answered Mar 20, 2014 by balaji.thirumalai

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Which of the following is a logical statement?

answered Mar 20, 2014 by balaji.thirumalai

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Consider this statement "If the bank was robbed then I will not have any money".

answered Mar 20, 2014 by balaji.thirumalai

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If the following statements are true: $ ~r$, $p \rightarrow q$ and $q \rightarrow r$, then:

answered Mar 20, 2014 by balaji.thirumalai

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Let $S$ be a non empty subset of $R$. Consider the following statement: $P$: There is a rational number $x \in S$ such that $x\gt 0$. Then, which of the following statements is the negation of statement $P$:

answered Mar 20, 2014 by balaji.thirumalai

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Which of the following are tautologies and which are contradictions?

answered Mar 20, 2014 by balaji.thirumalai

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Choose the correct answer. The statement $p \rightarrow (q \rightarrow p)$ is equivalent to which of the following?

answered Mar 20, 2014 by balaji.thirumalai

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The proposition $(P \vee Q) \vee (\sim P \wedge \sim Q)$ is a:

answered Mar 20, 2014 by balaji.thirumalai

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$^{\sim}(p \Rightarrow q)$ is equivalent to

answered Jan 24, 2014 by thanvigandhi_1

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Let f : $R \rightarrow R$ be a function defined by $f(x) = min \{ x+1, |x| + 1 \}$. Then which of the following statements is true?

answered Jan 24, 2014 by thanvigandhi_1

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For which of the sets of a, is the statement, “The difference between the roots of the equation $x^2+ax+1 = $ is less than $ \sqrt 5”$ true?

answered Jan 24, 2014 by thanvigandhi_1

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$ ^{\sim}(p V q)$ is equivalent to

answered Jan 24, 2014 by thanvigandhi_1

1 answer