Question : Directions: In the following question, two statements are given followed by three conclusions I, II, and III. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: No cities are countries. No countries are villages. Conclusions: I. Some countries are cities. II. No village is a city.
Option 1: Only conclusions I follows
Option 2: Only conclusions II follows
Option 3: Both conclusions follow
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Neither conclusion I nor conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some countries are cities – According to the Venn diagram, there is a negative relation between cities and countries. Therefore, some countries are cities is a false conclusion. Conclusion (II): No village is a city – According to the Venn diagram, there is no definite relation between cities and villages. So, this conclusion is false.
So, neither conclusion I nor conclusion II follows. Hence, the fourth option is correct.
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Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements. Statements: I. Some dates are hazelnuts. II. All hazelnuts are walnuts. Conclusions: I. Some dates are walnuts. II. Some walnuts are hazelnuts.
Option 1: Both conclusions follow
Option 2: Only conclusion I follows
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion II follows
Question : Directions: Two statements are given followed by two conclusions. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any follow from the given statements. Statements: No pencil is an eraser. All erasers are sharpeners. Conclusions: I. All sharpeners are pencils. II. All sharpeners are erasers.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Either conclusion I or conclusion II follows
Question : Directions: In the following question, two statements are given, followed by two conclusions, I and II. You have to consider the two statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: 1. Some pens are glass. 2. All glass is wall. Conclusions: I. Some walls are pens. II. Some walls are glass.
Option 3: Both conclusion I and conclusion II follow
Option 4: Neither conclusion I nor II follows
Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements. Statements: All irons are coppers. All coppers are aluminiums. Conclusions: I. Some aluminum are irons. II. Some aluminum are coppers.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion I follows
Option 4: Both conclusions follow
Question : Directions: Two statements are given followed by two conclusions I and II. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Choose which of the given conclusions logically follow/s from the given statement. Statements: I. All chairs are wood. II. No wood is furniture. Conclusions: I. All chairs are furniture. II. Some furniture is wood.
Option 3: Both conclusions I and II follow
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