Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. 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 colors are rainbows.
Some paints are rainbows.
All rainbows are drawings.
Conclusions:
I. Some drawings are colors.
II. All paints are drawings.
III. Some drawings are rainbows.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions I and III follow
Option 3: Only conclusions II and III follow
Option 4: All conclusions follow
Correct Answer: Only conclusions I and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusion –
Conclusion I:
Some drawings are colors – From the above diagram, it can be seen that the circle of drawings and colors intersect and has some common area between them, which implies that some drawings are colors. So, this conclusion is true based on the given statements.
Conclusion II:
All paints are drawings – From the above diagram, the circle of paint does not lie completely inside the circle of the drawing they have some part in common. Therefore, this conclusion is false.
Conclusion III:
Some drawings are rainbows – From the above diagram, it can be seen that the circle of the rainbow is inside the circle of the drawings, which implies that all rainbows are drawings and some of the drawings are rainbows. So, this conclusion is true based on the given statements.
So, only conclusions I and III logically follow according to the given statements. Hence, the second option is correct.
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