Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion/s logically follow/s from the given statements.
Statements:
All shoes are feet.
Some shoes are boxes.
All boxes are houses.
Conclusions:
(I) Some houses are shoes.
(II) Some feet are boxes.
Option 1: Both conclusions (I) and (II) do not follow
Option 2: Only conclusion (I) follows
Option 3: Both conclusions (I) and (II) follow
Option 4: Only conclusion (II) follows
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Correct Answer: Both conclusions (I) and (II) follow
Solution : According to the above statements, the following Venn diagram can be drawn –
Let's analyse the conclusions –
Conclusion I:
Some houses are shoes – From the above diagram, it can be seen that the circle representing shoes intersect the circle representing houses and has some common area between them. Therefore, this conclusion follows.
Conclusion II:
Some feet are boxes – From the above diagram, it can be seen that the circle representing feet intersect the circle representing boxes and has some common area between them. Therefore, this conclusion follows.
Therefore, both conclusions (I) and (II) follow. Hence, the third option is correct.
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