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 blue is yellow. All yellow is red. Conclusions: I. Some blue is red. II. All red is yellow.
Option 1: Both conclusions I and II follow
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
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Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some blue is red – From the Venn diagram, it is evident that the circles representing blue and red overlap and have some parts of their area in common. So, it can be concluded that some blue is red. Thus, this conclusion follows. Conclusion (II): All red is yellow – From the Venn diagram, it is evident that some parts of the circle representing red lie inside the circle representing yellow while some lie outside. So, from this, it can be concluded that some red is blue. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the third option is correct.
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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: Most red are yellow. Some yellow are green. Conclusions: I. Some green are yellow. II. Some green is red.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Question : Directions: Three 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 rabbits are white. Some rabbits are brown. All white are yellow. Conclusions: I. Some brown are yellow. II. Some rabbits are yellow.
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
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 black. No black is blue. Conclusions: I. No pen is blue. II. Some pens are not black.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 4: Neither conclusion I nor 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: No astronaut is tall. Some tall are blue. Conclusions: I. Some astronauts are blue. II. No tall is an astronaut.
Option 1: Only conclusion I follows.
Option 2: Both conclusions I and II follow.
Option 3: Neither conclusion I nor II follow.
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 gold is silver. All gold is platinum. Conclusions: I. Some silver is platinum. II. All platinum is gold.
Option 3: Neither conclusion I nor II follows
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