UPSC Prelims 2023·CSAT·Logical Reasoning·Coding Decoding

Consider the following: I. A + B means A is neither smaller nor equal to B. II. A - B means A is not greater than B. III. A× B means A is not smaller than B. IV. A÷ B means A is neither greater nor equal to B. V. A± B means A is neither smaller nor greater than B. Statement: P× Q , P - T , T÷ R , R± S Conclusion- 1: Q± T Conclusion- 2: S + Q Which one of the following is correct in respect of the above Statement and the Conclusions?

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  1. AOnly Conclusion-1 follows from the Statement.
  2. BOnly Conclusion-2 follows from the Statement.Correct
  3. CBoth Conclusion-1 and Conclusion-2 follow from the Statement.
  4. DNeither Conclusion-1 nor Conclusion-2 follows from the Statement.

Explanation

The symbols translate as follows: I. A + B => A > B II. A - B => A A >= B IV. A / B => A A = B Given Statement: P x Q => P >= Q P - T => P T R = S Combining these inequalities: From P >= Q and P Q. From our combined statement, we have Q Q. So, Conclusion 2 follows. Since only Conclusion 2 follows, option B is the correct answer.
Logical Reasoning: Consider the following: I. A + B means A is neither smaller nor equal to B. II. A - B means A is not greater than B. III

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