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:
Some pillows are covers.
All bedsheets are covers.
Conclusions:
I. All covers are bedsheets.
II. Some pillows are bedsheets.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All covers are bedsheets – As shown in the diagram, all bedsheets are covers as the circle of bedsheets is in the circle of covers which means some covers are bedsheets but all covers are bedsheets is not true. So, this conclusion doesn't follow.
Conclusion (II):
Some pillows are bedsheets – As shown in the diagram, the circles of pillows and bedsheets are independent and don't define any relation between them. So, this conclusion doesn't follow.
So, neither I nor conclusion II follows. Hence, the third option is correct.
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