IBPS PO Reasoning: Inequality questions with solutions

Q1. In the following questions, the relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusions based on the given statements and select the appropriate answer: Statements: B < K = F ≥ J; N ≤ D > K Conclusions: I. J < D II. D ≥ F

1. If only conclusion I is true
2. If only conclusion II is true
3. If either conclusion I or II is true
4. If both conclusions I and II are true

Answer: If only conclusion I is true

From B < K = F ≥ J, we get F ≥ J. From N ≤ D > K and K = F, we know D > F, so D ≥ F is definitely true. Also, since F ≥ J, we cannot निश्चितly say J < D? Actually D > F ≥ J implies D > J, so J < D is also true. Hence both conclusions are true.

Q2. Directions: In each of the following questions, assuming the given statements to be true, find which of the conclusions among the given conclusions is/are definitely true and then answer accordingly. Statements: A < B \ge C; D > E > A; C = F > G Conclusions: I. D > C II. B > G

1. Only II is True
2. Only I is True
3. Both I and II are True
4. None is true

Answer: Only II is True

From A < B and B \ge C, we only know B is at least C, while D > E > A gives no definite relation between D and C. Also, C = F > G implies C > G, so B \ge C > G, hence B > G is definitely true. Therefore only conclusion II follows.