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 conclusions logically follow/s from the given statements. Statements: Some apples are oranges. All oranges are bananas. All bananas are mangoes. Conclusions: I. Some mangoes are oranges. II. Some bananas are apples.
Option 1: Only conclusion I is true
Option 2: Both conclusions I and II are true
Option 3: Neither conclusion I nor II is true
Option 4: Only conclusion II is true
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Correct Answer: Both conclusions I and II are true
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some mangoes are oranges – From the Venn diagram, it is clear that some parts of the mango region lie outside the banana region and some overlap the region of the banana. Therefore, this conclusion follows. Conclusion (II): Some bananas are apples – From the Venn diagram, the circle of bananas and apples overlap and have some common area between them. Therefore, this conclusion follows.
So, both conclusions follow. Hence, the second 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: Some mangoes are oranges. Some kiwis are guavas. All oranges are kiwis. Conclusions: (I) Some kiwis are mangoes. (II) Some guavas are oranges.
Option 1: Only conclusion (I) follows
Option 2: Neither conclusion (I) nor (II) follows
Option 3: Only conclusion (II) follows
Option 4: Both conclusions (I) and (II) follow
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 conclusions logically follow/s from the given statements. Statements: I. All magnets are poles. II. All poles are telescopes. III. Some telescopes are computers. Conclusions: I. All telescopes are magnets. II. Some poles are computers.
Option 1: Both conclusions (I) and (II) are true
Option 2: Only conclusion (I) is true
Option 3: Only conclusion (II) is true
Option 4: Neither conclusion (I) nor (II) is true
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 bottles are medicines. Some doctors are bottles. Some medicines are capsules. Conclusions: I. Some doctors are medicines. II. Some bottles are capsules.
Option 1: Only conclusion (I) is true
Option 2: Only conclusion (II) is true
Option 3: Both conclusions (I) and (II) are true
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 mangoes are apples. All apples are grapes. No pear is a mango. Conclusions: (I) Some grapes are mangoes. (II) No grape is a pear.
Option 1: Both conclusions (I) and (II) follow
Option 3: Only conclusion (I) follows
Option 4: Only conclusion (II) follows
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 triangles are squares. Some squares are circles. Some triangles are pyramids. Conclusions: (I) Some circles are pyramids. (II) All pyramids are triangles.
Option 2: Both conclusions (I) and (II) are true
Option 3: Neither conclusion (I) nor (II) is true
Option 4: Only conclusion (II) is true
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