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 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion I follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyze the conclusions – Conclusion I: Some biscuits are cakes – From the Venn diagram, it is evident that the circles representing biscuits and cakes overlap and have some parts of their area in common. Thus, it can be concluded that some biscuits are cakes. Conclusion II: Some cakes are chocolates – From the Venn diagram, it is evident that there is no definite relation between cakes and chocolates. Thus, this conclusion does not follow.
So, the only conclusions I follows. Hence, the fourth option is correct.
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Question : Directions: 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: I. Some chocolates are toffees. II. All toffees are eclairs. Conclusions: I. Some eclairs are toffees. II. Some eclairs are chocolates.
Option 1: Both conclusions I and II follow
Option 3: Only conclusion I follows
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: 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 4: Only conclusion 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: Some rats are mats. All mats are ants. Conclusions: I. Some rats are ants. II. Some ants are mats.
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion 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 dogs are cats. Some cats are not dolls. Conclusions: I. All dolls are cats. II. Some cats are dogs.
Option 1: Only conclusion II follows
Option 3: Both the conclusions 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: All irons are coppers. All coppers are aluminiums. Conclusions: I. Some aluminum are irons. II. Some aluminum are coppers.
Option 4: Both conclusions follow
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