NTS - National Testing Service Critical Thinking and Logical Reasoning Flashcards
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A statement that is always true regardless of the truth values of its components is called a:
Answer: Tautology
A tautology is a logical statement that is necessarily true under all possible interpretations.
In a coding system where RED = 27 (R=18, E=5, D=4), what is the code for BLUE (B=2, L=12, U=21, E=5)?
Answer: 40
Each letter's alphabetical position is summed: B(2)+L(12)+U(21)+E(5) = 40.
Five books are stacked top to bottom. English is above History. History is above Science. Science is above Art. Art is above Math. What is the top book?
Answer: English
Following the chain: English > History > Science > Art > Math, English is at the top.
"All honest people are trustworthy. Some leaders are honest." What follows?
Answer: Some leaders are trustworthy.
Since some leaders are honest and all honest people are trustworthy, those particular leaders must be trustworthy.
Which pattern correctly continues the series: Z, X, V, T, ___?
Answer: R
Each letter skips one: Z(-2)=X(-2)=V(-2)=T(-2)=R, so the next letter is R.
"Either we raise prices or we cut costs." If prices are not raised, what must be true?
Answer: Costs must be cut.
In a valid disjunction (either/or), if one option is eliminated, the other must occur.