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 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusion I and conclusion II follow
Option 4: Neither conclusion I nor II follows
Correct Answer: Both conclusion I and conclusion II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some walls are pens – From the Venn diagram, we can see that the circles representing walls and pens intersect and have some areas in common. So, some walls are pens is a true conclusion. Conclusion (II): Some walls are glass – From the Venn diagram, we can see that the circle of glass is completely inside the circle of the wall. So, some walls are glass is a true conclusion.
So, both conclusions I and II follow. Hence the third 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 numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some pens are markers. All markers are crayons. Conclusions: I. All pens can never be crayons. II. At least some crayons are pens.
Option 2: Neither conclusion I nor II follows
Option 3: Both conclusions I and II follow
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: Some cakes are biscuits. Some biscuits are chocolates. Conclusions: I. Some biscuits are cakes. II. Some cakes are chocolates.
Option 1: Both the conclusions follow
Option 4: Only conclusion I 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 3: Only conclusion I follows
Option 4: Both conclusions follow
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: All cups are glasses. Some cups are pens. Conclusions: I. Some pens are cups. II. Some pens are glasses. III. Some pens are not cups.
Option 1: Only conclusions I and III follow
Option 2: Only conclusions II and III follow
Option 3: Only conclusions I and II follow
Option 4: All conclusions follow
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