Statements: All metals are solids. Some solids are liquids. Conclusions: I. Some metals are liquids. II. All solids are metals. III. Some solids are not liquids.
Correct answer: A. Only III
- A. Only III
- B. Only II
- C. Only I and II
- D. None
Explanation
To solve this problem, use logical deduction and Venn diagrams to analyze the relationships between the categories defined in the statements.Statement Analysis:All metals are solids: This means the set of metals is wholly contained within the set of solids.Some solids are liquids: This indicates there is an overlap between solids and liquids, but not all solids are liquids.Conclusion Evaluation:Some metals are liquids: The statements do not establish a direct relationship between metals and liquids, so this conclusion does not logically follow.All solids are metals: This conclusion is incorrect because the statements indicate that some solids are liquids, thus some solids are not metals.Some solids are not liquids: This conclusion is valid because the statement 'Some solids are liquids' implies that there are solids that are not liquids.Therefore, the only correct conclusion is III: 'Some solids are not liquids.'
Last updated
About Logical Deductions
Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.
Practise Logical Deductions
200 free Logical Deductions MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 24 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
(1) Mehwish is standing on a chair behind Abdullah (2) Abdullah is standing on the chair behind Bilal (3) Bilal is standing on the chair behind Mehwish. If the first two statements are correct, then the third one is:
A ball is a sphere. All spheres are round. Some round things are mesmerizing. Which of the following conclusions is NECESSARILY TRUE? Conclusions: I. All balls are mesmerizing. II. All round things are spheres. III. Some mesmerizing things are spheres.
A is the father of B. B is the sister of C. C is the daughter of D. Which statement must be true?
All cats are animals. Some animals are dogs. Which of the following is true?
All pens are pencils. All pencils are erasers. Which conclusion follows?