Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All chocolates are juices.
All juices are medicines.
No juice is a biscuit.
Conclusions:
(I): No medicine is a biscuit.
(II): No chocolate is a biscuit.
Correct Answer :
Only conclusion (II) follows.
Solution :
The correct option is: Only conclusion (II) follows.
Let's analyze the given statements step-by-step using logical deductions and set theory (Venn diagram representations):
Step 1: Analyze the Statements
1. "All chocolates are juices.": This means the set of Chocolates is completely inside (a subset of) the set of Juices.
2. "All juices are medicines.": This means the set of Juices is completely inside (a subset of) the set of Medicines. Since all Chocolates are inside Juices, all Chocolates are also inside Medicines.
3. "No juice is a biscuit.": This means there is no overlap (disjoint sets) between the set of Juices and the set of Biscuits.
Step 2: Evaluate Conclusion (I) - "No medicine is a biscuit."
We know that the set of Juices does not overlap with Biscuits. However, the set of Medicines contains Juices and can extend beyond it. The portion of Medicines that lies outside the Juices set could potentially overlap with the set of Biscuits without violating any of the given statements. Therefore, we cannot definitely conclude that "No medicine is a biscuit". Conclusion (I) does not logically follow.
Step 3: Evaluate Conclusion (II) - "No chocolate is a biscuit."
We are given that "No juice is a biscuit". Since "All chocolates are juices", the entire set of Chocolates lies completely inside the set of Juices. If no part of the Juices set can touch Biscuits, it is logically impossible for any part of the Chocolates set (which is inside Juices) to touch Biscuits. Therefore, no chocolate can be a biscuit. Conclusion (II) logically follows.
Conclusion:
Only conclusion (II) follows from the given statements.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.
