Directions: In the following questions, few statements are given and these statements are followed by two conclusions numbered i and ii. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts. Choose, (A) Only (i) conclusion follows (B) Only (ii) conclusion follows (C) Neither (i) nor (ii) follows (D) Both (i) and (ii) follow (E) Either (i) or (ii) follows
Statements: All sweets are snacks. All snacks are crisps. All crisps are tasty. Conclusions: i) All sweets are crisps. ii) All snacks are tasty.
Syllogism Logic Solution
The problem requires determining the logical validity of two conclusions based on three given statements.
Statement Analysis
- Statement 1: All sweets are snacks.
- Statement 2: All snacks are crisps.
- Statement 3: All crisps are tasty.
Conclusion (i) Validation
Conclusion (i): All sweets are crisps.
- Combining Statement 1 (All sweets are snacks) and Statement 2 (All snacks are crisps) leads directly to the conclusion that all sweets are crisps. This follows the principle of transitivity (If A is B, and B is C, then A is C).
Conclusion (ii) Validation
Conclusion (ii): All snacks are tasty.
- Combining Statement 2 (All snacks are crisps) and Statement 3 (All crisps are tasty) leads directly to the conclusion that all snacks are tasty. This also uses the principle of transitivity.
Result
Both conclusions (i) and (ii) logically follow from the given statements.
Therefore, the correct answer is D. Both (i) and (ii) follow.
Important Questions from Syllogism (Notes)
- Disregard commonly known facts. Which conclusion would follow on the basis of given statements only.
Statement: Some bottles are car. some cars are cycle.
Conclusion:
(I) Some bottles are cycle is a possibility
(II) All bottles are cycle
In light of the above statements, choose the most appropriate answer from the options given below. Take the given statements to be true even if they seem to be at variance with commonly known facts. Then decide which of the given conclusions logically follow the given statements.
Statements :
0% chairs are tables.
All computers are chairs.
Some books are tables.
Conclusions :
I. Not a single table is a computer.
II. Some books are not chairs.
Directions: Study the following Bar-chart and the data provided to answer the questions that follow: Sales of 3-different companies selling T-Shirts for the years from 2006 to 2009 are given. How much percentage of sales decreased for Brand X T-shirt in 2009 compared with 2007?
Statements:
All herbivores are carnivores.
Some carnivores are omnivores.
Conclusions:
i) Some herbivores are omnivores.
ii) Some carnivores are herbivores.
- In a community, some artists are teachers, no teacher is a painter, all painters are artists, and all teachers are professionals. Then it can be definitely asserted that
