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In a certain code, ‘X & Y’ means X is either greater than or equal to Y; ‘X % Y’ means X is equal to Y; ‘X @ Y’ means X is either smaller than or equal to Y; ‘X $ Y’ means X is smaller than Y; ‘X # Y’ means X is greater than Y. Statements: T % U, U # R, R $ S, S $ Q, Q % P. Conclusions: I. S # R II. P & R. Which of the conclusions is definitely true?

Correct answer B. Both conclusions I and II are true

Explanation

Decoding gives T = U > R < S < Q = P. I: R R, so I is true. II: R < S R, so II is true.

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Question 01 Inequalities

In a certain code, ‘X @ Y’ means X is smaller than Y; ‘X & Y’ means X is greater than Y; ‘X # Y’ means X is equal to Y; ‘X % Y’ means X is either smaller than or equal to Y; ‘X $ Y’ means X is either greater than or equal to Y. Statements: M & Q, Q @ N, N & P. Conclusions: I. P $ M II. Q $ P. Which of the conclusions is definitely true?

Correct answer A. Neither conclusion I nor II is true

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Question 04 Inequalities

In a certain code, ‘X & Y’ means X is greater than Y; ‘X $ Y’ means X is either smaller than or equal to Y; ‘X % Y’ means X is smaller than Y; ‘X # Y’ means X is equal to Y; ‘X @ Y’ means X is either greater than or equal to Y. Statements: L & Q, Q @ P, P # N, N & M. Conclusions: I. L & M II. Q % M. Which of the conclusions is definitely true?

Correct answer C. Only conclusion I is true

Open question

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