Inequality chain reasoning (A<B>C)
Question
Consider the following statements: I. If A <= B > C < D > E > F >= G = H then B is always greater than E. II. If P > Q = R >= S = T <= U = V > W then S is always less than V. Which of the statements given above is/are correct?
Options
I only
II only
Both I and II
Neither I nor II
Explanation
Evaluate each inequality chain independently. In Statement I, the path between B and E is B > C < D > E. Because the inequality signs face opposite directions between the two variables, no definitive relationship can be established. Statement I is false.
In Statement II, the path from S to V is S = T <= U = V. Simplifying this yields S <= V. This means S can be strictly less than V, or equal to V. Asserting it is "always less than" is logically false.
Answer: (d).
Question details
Year
2025
Paper
CSAT
Question
Q9
Section
Logical & Analytical Reasoning
Sub-topic
Inequality Logic
Type
Inequality logic
Difficulty
Medium
Source hint
Logical deduction
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